Kullanıcı:Drgulcu/Deneme5

Logaritmik skala, sayılar arasındaki ilişkiyi daha iyi anlamamızı sağlar

Bu listede seçilmiş pozitif sayıların nesne sayımı, boyutsuz büyüklük ve olasılıklar gibi örnekler verilerek büyüklükleri kıyaslanmıştır. Her sayı İngilizce konuşan ülkelerin kullandığı gibi kısa ölçek adlandırması ve resmi dili İngilizce olmayan bazı ülkelerin kullandığı gibi uzun ölçek adlandırması ile birlikte verilmiştir.

10⁻¹⁰⁰ ve altı (1 googolth)

• Matematik: yaklaşık 10^−183,800 Bir daktilo önüne yerleştirilen maymunun ilk denemesinde tuşlara rastgele basarak ve bunu yaparken yeterli gıda, molalar ve uyku süresi verilmesi şartıyla Hamlet eserinin tüm harflerini kaba bir tahminle girebilmesi ihtimalidir. Ancak noktalama, büyük harfler ve boşluklar da dikkate alındığında ihtimal: yaklaşık 10^−360,783 olur.
• Bilişim: 5×10⁻³²⁴ Yaklaşık olarak bir çift hassasiyetli IEEE kayan nokta değerinin temsil edilebilir en küçük pozitif sıfırdan büyük değerine eşittir.

10⁻¹⁰⁰ - 10⁻³⁰

• Bilişim: 1.4×10⁻⁴⁵, yaklaşık olarak en küçük sıfırdan farklı pozitif değer tek hassasiyetli IEEE kayan nokta değerine eşittir.

10⁻³⁰

(0.000000000000000000000000000001; 1000⁻¹⁰; kısa ölçek: 1 nonillionth; uzun ölçek: 1 quintillionth)

• Matematik: The probability in a game of bridge of all four players getting a complete suit is yaklaşık4,47×10^-28.

10⁻²⁷

(0.000000000000000000000000001; 1000⁻⁹; kısa ölçek: 1 octillionth; uzun ölçek: 1 quadrilliardth)

10⁻²⁴

(0.000000000000000000000001; 1000⁻⁸; kısa ölçek: 1 septillionth; uzun ölçek: 1 quadrillionth)

ISO: yocto- (y)

10⁻²¹

(0.000000000000000000001; 1000⁻⁷; kısa ölçek: 1 sextillionth; uzun ölçek: 1 trilliardth)

ISO: zepto- (z)

• Matematik: Keno ismindeki kumar oyununda 20 sayıyı 20 de 20 tutturmaoranı yaklaşık 2.83 × 10⁻¹⁹.

10⁻¹⁸

(0.000000000000000001; 1000⁻⁶; kısa ölçek: 1 quintillionth; uzun ölçek: 1 trillionth)

ISO: atto- (a)

• Matematik: The probability of rolling snake eyes 10 times in a row on a pair of fair dice is about 2,74×10^-16

10⁻¹⁵

(0.000000000000001; 1000⁻⁵; kısa ölçek: 1 quadrillionth; uzun ölçek: 1 billiardth)

ISO: femto- (f)

10⁻¹²

(0.000000000001; 1000⁻⁴; kısa ölçek: 1 trillionth; uzun ölçek: 1 billionth)

ISO: pico- (p)

• Matematik: The probability in a game of bridge of 1 player getting a complete suit is yaklaşık 2,52×10^-11 (0.00000000252%)
• Tıp: Human visual sensitivity to 1000 nm light is yaklaşık 1,0×10^-10 of its peak sensitivity at555 nm.

10⁻⁹

(0.000000001; 1000⁻³; kısa ölçek: 1 billionth; uzun ölçek: 1 milliardth)

ISO: nano- (n)

• Matematik — Piyango: The odds of winning the Grand Prize (matching all 6 numbers) in the US Powerball Piyango, with a single ticket, under the rules (Ağustos 2009 (2009-08) itibarıyla), are 195,249,053 to 1 against, for a probability of 5,12×10^-9 (0.000000512%).
• Matematik — Piyango: The odds of winning the Jackpot (matching the 6 main numbers) in the UK National Piyango, with a single ticket, under the rules (Ağustos 2009 (2009-08) itibarıyla), are 13,983,815 to 1 against, for a probability of 7,15×10^-8 (0.00000715%).

10⁻⁶

(0.000001; 1000⁻²; Uzun ve kısa ölçekler: 1 millionth)

ISO: micro- (μ)

• Matematik – Poker: The odds of being dealt a royal flush in poker are 649,739 to 1 against, for a probability of 1.5 × 10⁻⁶ (0.00015%).
• Matematik — Poker: The odds of being dealt a straight flush (other than a royal flush) in poker are 72,192 to 1 against, for a probability of 1.4 × 10⁻⁵ (0.0014%).
• Matematik — Poker: The odds of being dealt a four of a kind in poker are 4,164 to 1 against, for a probability of 2.4 × 10⁻⁴ (0.024%).

10⁻³

(0.001; 1000⁻¹; 1 thousandth)

ISO: milli- (m)

• Matematik — Poker: The odds of being dealt a full house in poker are 693 to 1 against, for a probability of 1.4 × 10⁻³ (0.14%).
• Matematik — Poker: The odds of being dealt a flush in poker are 507.8 to 1 against, for a probability of 1.9 × 10⁻³ (0.19%).
• Matematik — Poker: The odds of being dealt a straight in poker are 253.8 to 1 against, for a probability of 4 × 10⁻³ (0.39%).
• Fizik: α = 0,007297352570(5), the fine-structure constant.

10⁻²

(0.01; 1 hundredth)

ISO: centi- (c)

• Matematik — Piyango: The odds of winning any prize in the UK National Piyango, with a single ticket, under the rules as of 2003, are 54 to 1 against, for a probability of about 0.018 (1.8%)
• Matematik — Poker: The odds of being dealt a three of a kind in poker are 46 to 1 against, for a probability of 0.021 (2.1%)
• Matematik — Piyango: The odds of winning any prize in the US Powerball Multistate Piyango, with a single ticket, under the rules as of 2006, are 36.61 to 1 against, for a probability of 0.027 (2.7%)
• Matematik — Poker: The odds of being dealt two pair in poker are 20 to 1 against, for a probability of 0.048 (4.8%).

10⁻¹

(0.1; 1 tenth)

ISO: deci- (d)

• Matematik — Poker: The odds of being dealt only one pair in poker are about 5 to 2 against (2.37 to 1), for a probability of 0.42 (42%).
• Matematik — Poker: The odds of being dealt no pair in poker are nearly 1 to 2, for a probability of about 0.5 (50%)
• Legal history: 10% was widespread as the tax raised for income or produce in the ancient and medieval period, see tithe.

10⁰

(1; bir)

• Matematik: [[√2]] ≈ 1.414213562373095489, bir karenin çapraz köşelerini birleştiren çizginin karenin bir kenarına oranı
• Matematik: φ ≈ 1.618033988749895848, Altın oran
• Matematik: Birçok bilgisayarın kullandığı ikili sayı sisteminde kullanılan sayılar; 2 sayı: 0 and 1.
• Matematik: E sayısı ≈ 2.718281828459045087, doğal logaritmanın temel sayısı
• Matematik: π ≈ 3.141592653589793238, bir dairenin çevresinin çapına oranı
• Tıp: 7 ± 2, bilişsel bilimlerde, George A. Miller tarafından ortaya atılan bir insanın çalışan hafızasında (kısa süreli bellek) aynı anda tutabileceği nesne sayısı
• Astronomi: 8, Güneş Sistemindeki gezegen sayısı

10¹

(10; on)

ISO: deca- (da)

• İnsan: Bir insandaki el ve ayak parmakları sayısı
• Matematik: Günlük yaşamda kullanılan kullanılan sayı sistemi olan desimal sistemindeki sayılar, 10 sayı: 0,1,2,3,4,5,6,7,8,9.
• Matematik: Bilgisayar programcılığında sıkça kullanılan sayı sistemi olan hexadecimal sistemindeki sayılar; 16 sayı, 6 tanesi harfler ile ifade edilir: 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F.
• Bilimkurgu: 23 enigma , Robert Shea ve Robert Anton Wilson tarafından yazılan The Illuminatus! Trilogy serisinde önemli bir rol oynar
• Alfabe: Latin kaynaklı Türk alfabesinde 29 harf vardır.
• Bilimkurgu: The number 42, in Şablon:H2G2 by Douglas Adams, is the Answer to the Ultimate Question of Life, the Universe, and Everything which is calculated by an enormous supercomputer over a period of 7.5 million years. Unfortunately no 1 knows what the question is.
• Sesbilim: İngilizce'de sesbilimsel açıdan 47 ses telaffuzu vardır.

10²

(100; yüz)

ISO: hecto- (h)

• Avrupa tarihi: Groupings of 100 homesteads was a common administrative unit in Northern Europe and Great Britain, see Hundred (county subdivision)
• Bilişim: ASCII karakter setinde 128 karakter vardır.
• Sesbilim: Taa dilinde 130 ila 164 arasında farklı ses olduğu tahmin ediliyor
• Politika: Birleşmiş Milletlerin 193 üyesi vardır (2011 itibariyle)

10³

(1000; thousand)

ISO: kilo- (k)

• Typesetting: 2,000–3,000 letters on a typical typed page of text.
• Matematik: 2520 is the least common multiple of every integer under 10.
• Military history: 4,200 (Republic) or 5,200 (Empire) was the standard size of a Roman legion
• Tıp: the DNA of the simplest viruses has some 5,000 base pairs.
• Linguistics: Estimates for the linguistic diversity of living human languages or dialects range between 5,000 and 10,000 (SIL Ethnologue in 2009 listed 6,909 known living languages).
• Lexicography: 8,674 unique words in the Hebrew Bible

10⁴

(10000; ten thousand or a myriad)

• Tıp: Each neuron in the human brain is estimated to connect to 10,000 others
• Lexicography: 14,500 unique English words occur in the King James Version of the Bible
• Language: There are 20,000–40,000 distinct Chinese characters, depending on how 1 counts them
• Tıp: Each human being is estimated to have 30,000 to 40,000 genes
• Matematik: 65,537 is the largest known Fermat prime
• Hafıza: (2006 (2006) itibarıyla), the largest number of decimal places of π that have been recited from memory is 67,890

10⁵

(100000; one hundred thousand or a lakh)

• Tıp — Strands of hair on a head: The average human head has about 100,000–150,000 strands of hair
• Edebiyat: yaklaşık 100,000 verses (shlokas) in the Mahabharata
• Matematik: 180,000 – The approximate number of entries in The On-Line Encyclopedia of Integer Sequences (2010 (2010-November) itibarıyla)
• Language: 267,000 words in James Joyce's Ulysses
• Language — English words: The New Oxford Dictionary of English contains about 360,000 definitions for English words
• Genocide: 300,000 people killed in the Rape of Nanking
• Edebiyat: 564,000 words in War and Peace by Leo Tolstoy
• Edebiyat: 930,000 words in the King James Version of the Bible

10⁶

(1000000; 1000²; Uzun ve kısa ölçekler: 1 million)

ISO: mega- (M)

• Tıp — Species: The World Resources Institute claims that yaklaşık 1.4 million species have been named, out of an unknown number of total species (estimates range between 2 and 100 million species) Some scientists give 8.8 million species as an exact figure.
• Info: The freedb database of CD track listings has around 1,750,000 entries (Haziran 2005 (2005-06) itibarıyla)
• Matematik — Playing cards: There are 2,598,960 different 5-card poker hands that can be dealt from a standard 52-card deck.
• Info — Web sites: As of December 20, 2011, Wikipedia contains yaklaşık 3,825,000 articles in the English language
• Geography/Bilişim — Geographic places: The NIMA GEOnet Names Server contains yaklaşık 3.88 million named geographic features outside the United States, with 5.34 million names. The USGS Geographic Names Information System claims to have almost 2 million physical and cultural geographic features within the United States.
• Genocide: yaklaşık 5,100,000–6,200,000 Jews were killed in the Holocaust.

10⁷

(10000000; a crore; Uzun ve kısa ölçekler: ten million)

• Matematik: 12,988,816 is the number of domino tilings of an 8×8 checkerboard.
• Bilişim: 16,777,216 different colors can be generated using the hex code system in HTML (It has been estimated that the trichromatic color vision of the human eyecan only distinguish about 1,000,000 different colors.).
• Science Fiction: In Isaac Asimov's Galactic Empire, in what we call 22,500 CE there are 25,000,000 different inhabited planets in the Galactic Empire, all inhabited byhumans in Asimov's "human galaxy" scenario.

10⁸

(100000000; Uzun ve kısa ölçekler: 1 hundred million)

• Info — Books: The British Library claims that it holds over 150 million items. The Library of Congress claims that it holds yaklaşık 148 million items. See The Gutenberg Galaxy
• Info — Web sites: (Kasım 2011 (2011-11) itibarıyla), the Netcraft web survey estimates that there are 525,998,433 (525 million) distinct websites.
• Matematik: More than 215,000,000 mathematical constants are collected on the Plouffe's Inverter (2010 (2010) itibarıyla)
• Matematik: 275,305,224 is the number of 5x5 normal magic squares, not counting rotations and reflections. This result was found in 1973 by Richard Schroeppel. It is the third 91768409-gonal number.
• Matematik: 358,833,097 stellations of the rhombic triacontahedron
• Demographics: yaklaşık 402,000,000 native speakers of English
• Internet: yaklaşık 800,000,000 active users are on Facebook as of December 2011
• Astronomi — Cataloged stars: The Guide Star Catalog II has entries on 998,402,801 distinct astronomical objects

10⁹

(1000000000; 1000³; kısa ölçek: 1 billion; uzun ölçek: 1 thousand million, or 1 milliard)

ISO: giga- (G)

• Demografi;— India: 1,096,000,000 – approximate population of Hindistan in 2007
• Demografi;— China: 1,311,000,000 – approximate population of the Çin in 2007.
• Bilişim — Computational limit of a 32-bit CPU: 2 147 483 647 is equal to 2³¹−1, and as such is the largest number which can fit into a signed (two's complement) 32-bit integer on a computer, thus marking the upper computational limit of a 32-bit CPU such as Intel's Pentium-class computer chips.
• Tıp — base pairs in the genome: yaklaşık 3×10⁹ base pairs in the human genome
• Linguistics: 3,400,000,000 – the total number of speakers of Indo-European languages, of which 2,400,000,000 are native speakers; the other 1,000,000,000 speak Indo-European languages as a second language
• Bilişim – IPv4: 4,294,967,296 (2³²) possible unique IP addresses.
• Bilişim: 4,294,967,296 – the number of bytes in 4 gibibytes; in computation, the 32-bit computers can directly access 2³² pieces of address space, this leads directly to the 4 gigabyte limit on main memory.
• Matematik: 4,294,967,297 is a Fermat number and semiprime. It is the smallest number of the form $2^{2^{n}}+1$ which is not a prime number.
• Demografi;— world population: 7,000,000,000 – Estimated population for the world on 31 October 2011, the Day of Seven Billion.

10¹⁰

(10000000000; kısa ölçek: ten billion; uzun ölçek: ten thousand million, or ten milliard)

• Tıp — bacteria in the human body: There are roughly 10¹⁰ bacteria in the human oral cavity
• Astronomi — Observable galaxies: as of 2003 there are between 1×10¹⁰ and 8×10¹⁰ galaxies in the observable universe
• Bilişim — web pages: yaklaşık 5.6×10¹⁰ web pages indexed by Google as of 2010.

10¹¹

(100000000000; kısa ölçek: 1 hundred billion; uzun ölçek: hundred thousand million, or hundred milliard)

• Tıp — Neurons in the brain: yaklaşık 10¹¹ neurons in the human brain
• Paleodemography: yaklaşık 1.06 × 10¹¹ individuals of Homo sapiens have lived since speciation (40% of this figure are babies who did not live beyond their first year) (seeworld population).
• Astronomi — stars in our galaxy: yaklaşık 4×10¹¹ stars in the Milky Way galaxy (Often the figure 1×10¹¹ is quoted in error; that is the total mass of the galaxy in solar masses. However, the total number of stars in the galaxy is 4×10¹¹ because 73% of the stars in the galaxy are red dwarves, which have a much smaller mass than the Sun.)

10¹²

(1000000000000; 1000⁴; kısa ölçek: 1 trillion; uzun ölçek: 1 billion)

ISO: tera- (T)

• Astronomi: Andromeda Galaxy, which is part of the same Local Group as our galaxy, contains about 10¹² stars.
• Tıp — Bacteria on the human body: The surface of the human body houses roughly 10¹² bacteria.
• Marine biology: 3,500,000,000,000 (3.5 × 10¹²) – estimated population of fish in the ocean.
• Matematik — Known digits of π: (2010 (2010) itibarıyla), the number of known digits of π is 5,000,000,000,000 (5×10¹²).
• Matematik: 7,625,597,484,987 – a number that often appears when dealing with powers of 3. It can be expressed as $19683^{3}$, $27^{9}$, $3^{27}$,$3^{3^{3}}$ and ³3 or when using Knuth's up-arrow notation it can be expressed as $3\uparrow \uparrow 3$ and $3\uparrow \uparrow \uparrow 2$.
• Matematik: 10¹³ – The approximate number of known non-trivial zeros of the Riemann zeta function (2004 (2004) itibarıyla).
• Tıp — Cells in the human body: The human body consists of roughly 10¹⁴ cells, of which only 10¹³ are human. The remaining 90% non-human cells (though much smaller and constituting much less mass) are bacteria, which mostly reside in the gastrointestinal tract, although the skin is also covered in bacteria.
• Bilişim – MAC-48: 281,474,976,710,656 (2⁴⁸) possible unique physical addresses.
• Matematik: 953,467,954,114,363 is the largest known Motzkin prime.

10¹⁵

(1000000000000000; 1000⁵; kısa ölçek: 1 quadrillion; uzun ölçek: one thousand billion, or 1 billiard)

ISO: peta- (P)

• Tıp-Insects: 1,000,000,000,000,000 to 10,000,000,000,000,000 (10¹⁵ to 10¹⁶) – The estimated total number of ants on Earth alive at any 1 time (their biomass is yaklaşık equal to the total biomass of the human race).
• Bilişim: 9,007,199,254,740,992 (2⁵³) – number until which all integer values can exactly be represented in IEEE double precision floating-point format.
• Matematik: 48,988,659,276,962,496 is the fifth taxicab number.
• Science Fiction: In Isaac Asimov's Galactic Empire, in what we call 22,500 CE there are 25,000,000 different inhabited planets in the Galactic Empire, all inhabited byhumans in Asimov's "human galaxy" scenario, each with an average population of 2,000,000,000, thus yielding a total Galactic Empire population of yaklaşık 50,000,000,000,000,000.
• Cryptography: There are 7.205759×10¹⁶ different possible keys in the obsolete 56 bit DES symmetric cipher.

10¹⁸

(1000000000000000000; 1000⁶; kısa ölçek: 1 quintillion; uzun ölçek: 1 trillion)

ISO: exa- (E)

• Bilişim — Manufacturing: An estimated 6×10¹⁸ transistors were produced worldwide in 2008.
• Bilişim — Computational limit of a 64-bit CPU: 9,223,372,036,854,775,807 (about 9.22×10¹⁸) is equal to 2⁶³-1, and as such is the largest number which can fit into a signed (two's complement) 64-bit integer on a computer.
• Matematik — NCAA Basketball Tournament: There are 9,223,372,036,854,775,808 (2⁶³) possible ways to enter thebracket.
• Matematik — Bases: 9,439,829,801,208,141,318 (≈9.44×10¹⁸) is the 10th and largest number with more than 1 digit that can be written from base 2 to base 18 using only the digits 0 to 9.
• Tıp — Insects: It has been estimated that the insect population of the Earth is about 10¹⁹.
• Matematik — Answer to the wheat and chessboard problem: When doubling the grains of wheat on each successive square of a chessboard, beginning with 1 grain of wheat on the first square, the final number of grains of wheat on all 64 squares of the chessboard when added up is 2⁶⁴−1 = 18,446,744,073,709,551,615 (≈1.84×10¹⁹).
• Matematik — Legends: In the legend called the Tower of Brahma about a Hindu temple which contains a large room with three posts on 1 of which is 64 golden discs, the object of themathematical game is for the Brahmins in the temple to move all of the discs to another pole so that they are in the same order, never placing a larger disc above a smaller disc. It would take 2⁶⁴−1 = 18,446,744,073,709,551,615 (≈1.84×10¹⁹) turns to complete the task (same number as the wheat and chessboard problem above).
• Matematik — Rubik's Cube: There are 43,252,003,274,489,856,000 (≈4.33×10¹⁹) different positions of a 3x3x3 Rubik's Cube
• Password strength: Usage of the 95-character set found on standard computer keyboards for a 10-character password yields a computationally intractable59,873,693,923,837,890,625 (95¹⁰, yaklaşık 5.99×10¹⁹) permutations.
• Economics: Hyperinflation in Zimbabwe estimated in February 2009 by some economists at 10 sextillion percent, or a factor of 10²⁰

10²¹

(1000000000000000000000; 1000⁷; kısa ölçek: 1 sextillion; uzun ölçek: 1 thousand trillion, or 1 trilliard)

ISO: zetta- (Z)

• Geo — Grains of sand: All the world's beaches combined have been estimated to hold roughly 10²¹ grains of sand.
• Matematik — Sudoku: There are 6,670,903,752,021,072,936,960 (≈6.7×10²¹) 9×9 sudoku grids.
• Astronomi — Stars: 70 sextillion = 7×10²², the estimated number of stars within range of telescopes (as of 2003); see mass of the observable universe.
• Matematik: 146,361,946,186,458,562,560,000 (≈1.5×10²³) is the fifth unitary perfect number.

10²⁴

(1000000000000000000000000; 1000⁸; kısa ölçek: 1 septillion; uzun ölçek: 1 quadrillion)

ISO: yotta- (Y)

• Matematik: 2,833,419,889,721,787,128,217,599 (≈2.8×10²⁴) is a Woodall prime.

10²⁷

(1000000000000000000000000000; 1000⁹; kısa ölçek: 1 octillion; uzun ölçek: 1 thousand quadrillion, or 1 quadrilliard)

• Tıp — Atoms in the human body: the average human body contains roughly 7×10²⁷ atoms
• Matematik — Poker: the number of unique combinations of hands and shared cards in a 10-player game of Texas Hold'em is yaklaşık 2.117×10²⁸, see Poker probability (Texas hold 'em).

10³⁰

(1000000000000000000000000000000; 1000¹⁰; kısa ölçek: 1 nonillion; uzun ölçek: 1 quintillion)

• Tıp — Bacterial cells on Earth: The number of bacterial cells on Earth is estimated at around 5,000,000,000,000,000,000,000,000,000,000, or 5 × 10³⁰
• Matematik: The number of partitions of 1000 is 24,061,467,864,032,622,473,692,149,727,991.
• Matematik: 2¹⁰⁸ = 324,518,553,658,426,726,783,156,020,576,256 is the last known power of two not containing a digit '9'.

10³³

(1000000000000000000000000000000000; 1000¹¹; kısa ölçek: 1 decillion; uzun ölçek: 1 thousand quintillion, or 1 quintilliard)

• Matematik — Alexander's Star: There are 72,431,714,252,715,638,411,621,302,272,000,000 (about 7.24×10³⁴) different positions of Alexander's Star

10³⁶

(1000000000000000000000000000000000000; 1000¹²; kısa ölçek: 1 undecillion; uzun ölçek: 1 sextillion)

• Physics: k_e e² / Gm², the ratio of the electromagnetic to the gravitational forces between two protons, is roughly 10³⁶.
• Matematik: $2^{2^{7}-1}-1$ = 170,141,183,460,469,231,731,687,303,715,884,105,727 (≈1.7×10³⁸) is a double Mersenne prime.
• Bilişim: (2¹²⁸ = 340,282,366,920,938,463,463,374,607,431,768,211,456 (≈3.40282367×10³⁸), the theoretical maximum number of Internet addresses that can be allocated under the IPv6addressing system, 1 more than the largest value that can be represented by a single-precision IEEE floating-point value, the total number of different Universally Unique Identifiers (UUIDs) that can be generated.
• Cryptography: 2¹²⁸ = 340,282,366,920,938,463,463,374,607,431,768,211,456 (≈3.40282367×10³⁸), the total number of different possible keys in the AES128-bit key space (symmetric cipher).

10³⁹

(1000000000000000000000000000000000000000; 1000¹³; kısa ölçek: 1 duodecillion; uzun ölçek: 1 thousand sextillion, or 1 sextilliard)

• Kozmoloji: The Eddington–Dirac number is roughly 10⁴⁰.
• Matematik: 69,720,375,229,712,477,164,533,808,935,312,303,556,800 (≈6.97×10⁴⁰) is the least common multiple of every integer from 1 to 100.

10⁴² to 10¹⁰⁰

(1000000000000000000000000000000000000000000; 1000¹⁴; kısa ölçek: 1 tredecillion; uzun ölçek: 1 septillion)

• Matematik: 141×2¹⁴¹+1 = 393,050,634,124,102,232,869,567,034,555,427,371,542,904,833 (≈3.93×10⁴⁴) is the second Cullen prime
• Matematik: There are 7,401,196,841,564,901,869,874,093,974,498,574,336,000,000,000 (≈7.4×10⁴⁵) possible permutations for the Rubik's Revenge (4x4x4 Rubik's Cube).
• Chess: 4.52×10⁴⁶ is a proven upper bound for the number of legal chess positions.
• Matematik: 808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000 (≈8.08×10⁵³) is the order of the Monster group.
• Cryptography: There are 6.27710174×10⁵⁷ different possible keys in the AES 192 bit key space (symmetric cipher).
• Kozmoloji: 8×10⁶⁰ is roughly the number of Planck time intervals since the universe is theorised to have been created in the Big Bang 13.7 ± 0.2 billion years ago.
• Kozmoloji: 1×10⁶³ is Archimedes’ estimate in The Sand Reckoner of the total number of grains of sand that could fit into the entire cosmos, the diameter of which he estimated instadia to be what we call 2 light years.
• Matematik — Cards: 52! = 80,658,175,170,943,878,571,660,636,856,403,766,975,289,505,440,883,277,824,000,000,000,000 (≈8.07×10⁶⁷) – the number of ways to order the cards in a 52-card deck.
• Matematik: 1,808,422,353,177,349,564,546,512,035,512,530,001,279,481,259,854,248,860,454,348,989,451,026,887 (≈1.81×10⁷²) – The largest known prime factor found by ECM factorization (2010 (2010) itibarıyla).
• Matematik: There are 282 870 942 277 741 856 536 180 333 107 150 328 293 127 731 985 672 134 721 536 000 000 000 000 000 (≈2.83×10⁷⁴) possible permutations for the Professor's Cube (5x5x5 Rubik's Cube).
• Cryptography: There are 1.15792089×10⁷⁷ different possible keys in the AES 256 bit keyspace (symmetric cipher).
• Kozmoloji: Various sources estimate the total number of fundamental particles in the observable universe to be within the range of 10⁸⁰ to 10⁸⁵. However, these estimates are generally regarded as guesswork.
• Matematik: 10 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000; 10¹⁰⁰, a googol

10¹⁰⁰ (one googol) to $10^{10^{100}}$ (one googolplex)

• Matematik: There are 157 152 858 401 024 063 281 013 959 519 483 771 508 510 790 313 968 742 344 694 684 829 502 629 887 168 573 442 107 637 760 000 000 000 000 000 000 000 000 (≈1.57×10¹¹⁶) distinguishable permutations of the V-Cube 6 (6x6x6 Rubik's Cube).
• Chess: Shannon number, 10¹²⁰, an estimation of the game-tree complexity of chess.
• Fizik: 8×10¹²⁰, ratio of the mass-energy in the observable universe to the energy of a photon with a wavelength the size of the observable universe.
• History — Religion: Asaṃkhyeya is a Buddhist name for the number 10¹⁴⁰. It is listed in the Avatamsaka Sutra and metaphorically means "innumerable" in the Sanskritlanguage of ancient India.
• Xiangqi: 10¹⁵⁰, an estimation of the game-tree complexity of xiangqi.
• Matematik: There are 19 500 551 183 731 307 835 329 126 754 019 748 794 904 992 692 043 434 567 152 132 912 323 232 706 135 469 180 065 278 712 755 853 360 682 328 551 719 137 311 299 993 600 000 000 000 000 000 000 000 000 000 000 000 (≈1.95 ×10¹⁶⁰) distinguishable permutations of the V-Cube 7 (7x7x7 Rubik's Cube).
• Board games: 3.457×10¹⁸¹, number of ways to arrange the tiles in English Scrabble on a standard 15-by-15 Scrabble board.
• Fizik: 4×10¹⁸⁵, approximate number of Planck volumes in the observable universe.
• Bilişim: 1.797 693 134 862 315 856×10³⁰⁸ is yaklaşık equal to the largest value that can be represented in the IEEE double precision floating-point format.
• Go: 10³⁶⁵, an estimation of the game-tree complexity in the game of Go.
• Matematik: 2638⁴⁴⁰⁵ + 4405²⁶³⁸ is a 15,071-digit Leyland prime; the largest which has been proven (2010 (2010) itibarıyla).
• Matematik: 3,756,801,695,685 × 2^666,669 ± 1 are 200,700-digit twin primes; the largest known (Aralık 2011 (2011-12) itibarıyla).
• Matematik: 18,543,637,900,515 × 2^666,667 − 1 is a 200,701-digit Sophie Germain prime; the largest known (Nisan 2012 (2012-04) itibarıyla).
• Matematik: yaklaşık 7.76 · 10^206,544 cattle in the smallest herd which satisfies the conditions of the Archimedes' cattle problem.
• Matematik: 10^290,253 - 2 × 10^145,126 + 1 is a 290,253-digit palindromic prime, the largest known (Nisan 2012 (2012-04) itibarıyla).
• Matematik: 1,098,133# – 1 is a 476,311-digit primorial prime; the largest known (Mart 2012 (2012-03) itibarıyla).
• Matematik: 150,209! + 1 is a 712,355-digit factorial prime; the largest known (Ağustos 2011 (2011-08) itibarıyla).
• Matematik — Edebiyat: Jorge Luis Borges' Library of Babel contains at least $25^{1,312,000}\approx 1.956\times 10^{1,834,097}$ books (this is a lower bound).
• Matematik: 75,898^524,288 + 1 is a 2,558,647-digit Generalized Fermat prime, the largest known (2011 (2011) itibarıyla).
• Matematik: 19,249 × 2^13,018,586 + 1 is a 3,918,990-digit Proth prime, the largest known Proth prime and non-Mersenne prime (2010 (2010) itibarıyla).
• Matematik: 2^43,112,609 − 1 is a 12,978,189-digit Mersenne prime; the largest known prime of any kind (2010 (2010) itibarıyla).
• Matematik: 2^43,112,608 × (2^43,112,609 − 1) is a 25,956,377-digit perfect number, the largest known as of 2010.
• Matematik — History: 10^{80,000,000,000,000,000}, largest named number in Archimedes' Sand Reckoner.
• Matematik: 10^googol ($10^{10^{100}}$), a googolplex.

Larger than $10^{10^{100}}$ (one googolplex)

• Kozmoloji: In chaotic inflation theory, proposed by physicist Andrei Linde, our universe is 1 of many other universes with different physical constants that originated as part of our local section of the multiverse, owing to a vacuum that had not decayed to its ground state. According to Linde and Vanchurin, the total number of these universes is about $10^{10^{10,000,000}}$.
• Matematik—Edebiyat: The number of different ways in which the books in Luis Borges' Library of Babel can be arranged is $10^{10^{33,013,740}}$.
• Matematik: $10^{\,\!10^{10^{34}}}$, order of magnitude of an upper bound that occurred in a proof of Skewes (later estimated to actually be near 1.397 × 10³¹⁶).
• Matematik: $10^{\,\!10^{10^{1000}}}$, order of magnitude of another upper bound in a proof of Skewes.
• Matematik: Moser's number "2 in a mega-gon" is yaklaşık equal to 10↑↑↑...↑↑↑10, where there are 10↑↑257 arrows.
• Matematik: Graham's number, the last ten digits of which are ...24641 95387. Arises as an upper bound solution to a problem in Ramsey theory. Representation in powers of 10 would be impractical (the number of digits in the exponent far exceeds the number of particles in the observable universe).
• Matematik: TREE(3): appears in relation to a theorem on trees in graph theory. Representation of the number is difficult, but 1 weak lower bound is A^A(187196)(1), where A(n) is a version of the Ackermann function.

See also

• Large numbers
• Conway chained arrow notation
• Fast-growing hierarchy
• Names of large numbers
• Names of small numbers
• List of numbers
• Planck units
• Mathematical constant
• Encyclopedic size comparisons on Wikipedia

External links

• Seth Lloyd's paper Computational capacity of the universe provides a number of interesting dimensionless quantities.
• Notable properties of specific numbers