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This list compares various sizes of positive Number s, including counts of things, Dimensionless Number s and Probabilities .




SMALLER THAN 10<SUP>-36</SUP>

  • ''Comp - IEEE Floating-point Number '' 5 is approximately equal to the smallest positive non-zero value that can be represented by a double-precision IEEE floating-point value.

  • ''Comp - IEEE Floating-point Number '' 1.4012985 is approximately equal to the smallest positive non-zero value that can be represented by a single-precision IEEE floating-point value.

  • 10<SUP>-36</SUP>


10<SUP>-33</SUP>


10<SUP>-30</SUP>


10<SUP>-27</SUP>


10<SUP>-24</SUP>

ISO: Yocto - y


10<SUP>-21</SUP>

ISO: Zepto - z


10<SUP>-18</SUP>

ISO: Atto - a


10<SUP>-15</SUP>

ISO: Femto - f


10<SUP>-12</SUP>

One trillionth (short scale), One billionth (long scale)

ISO: Pico - p
  • ''Mathematics:'' Roughly the chances of getting heads 40 times in a row on a fair coin.



10<SUP>-9</SUP>

(0.000 000 001; : one milliardth)

ISO: Nano - n
  • ''Mathematics - Lottery:'' The odds of winning the Grand Prize (matching all 6 numbers) in the US Powerball Multistate Lottery , with a single ticket, under the rules As Of 2003 , are 120,526,770 to 1 against, for a probability of 8.

  • ''Mathematics - Lottery:'' The odds of winning the Jackpot (matching the 6 main numbers) in the UK National Lottery , with a single ticket, under the rules As Of 2003 , are 13,983,816 to 1 against, for a probability of 7.



10<SUP>-6</SUP>

(0.000 001; one Millionth )

ISO: Micro - μ
  • ''Mathematics - in poker are 649,739 to 1 against, for a probability of 1.5 × 10-6

  • ''Mathematics - 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

  • ''Mathematics - 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



10<SUP>-3</SUP>

(0.001; one Thousandth )

ISO: Milli - m
  • ''Mathematics - Poker:'' The odds of being dealt a Full House in poker are 693 to 1 against, for a probability of 1.4 × 10-3

  • ''Mathematics - Poker:'' The odds of being dealt a Flush in poker are 508 to 1 against, for a probability of 1.9 × 10-3

  • ''Mathematics - Poker:'' The odds of being dealt a Straight in poker are 254 to 1 against, for a probability of 4 × 10-3

  • ''Phys:'' α = 0.007 297 352 533(27), the Fine Structure Constant

  • Meaning in words: 3 orders of magnitude smaller.



10<SUP>-2</SUP>

(0.01; one Hundredth )

ISO: Centi - c
  • ''BioMed - HIV:'' About 1.2% of all 15–49 year-old humans were infected with HIV At The End Of 2001

  • ''Mathematics - Lottery:'' The odds of winning any prize in the UK National Lottery , with a single ticket, under the rules As Of 2003 , are 54 to 1 against, for a probability of about 0.018 (1.8%)

  • ''Mathematics - 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%)

  • ''Mathematics - Lottery:'' The odds of winning any prize in the US Powerball Multistate Lottery , with a single ticket, under the rules As Of 2003 , are 36.06 to 1 against, for a probability of 0.028 (2.8%)

  • ''Mathematics - Poker:'' The odds of being dealt Two Pair in poker are 20 to 1 against, for a probability of 0.048 (4.8%).

  • ''Comp - Time:'' 0.01 Second s is equal to a Jiffie .



10<SUP>-1</SUP>

(0.1; one Tenth )

ISO: Deci - d
  • ''Mathematics - 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%).

  • ''Mathematics - Poker:'' The odds of being dealt No Pair in poker are nearly 1 to 2, for a probability of about 0.5 (50%)



10<SUP>0</SUP>

(1; One )


10<SUP>1</SUP>

(10; Ten )

ISO: Deca - da


10<SUP>2</SUP>

(100; Hundred )

ISO: Hecto - h
  • ''Sport:'' In North American professional sports, players typically wear uniform numbers from 1 to 99. In some sports, 0 and 00 are also allowed, making 101 different combinations.

  • ''Pol:'' There are 100 Senators in the United States Senate .

  • ''Pol:'' There are 120 members each in the Israeli Parliament (The Knesset ) and the New Zealand House Of Representatives .

  • ''Comp:'' There are 128 characters in the ASCII character set.

  • ''Pol'' There are 179 members in the Danish Parliament Folketinget .

  • ''Sport:'' A major-league baseball season has 162 games.

  • ''Geo:'' There were 191 member states of the United Nations As Of 2003 .



10<SUP>3</SUP>

(1 000; Thousand )

ISO: Kilo - k
  • ''Lang:'' 2000–3000 letters on a typical typed page of text

  • ''BioMed:'' the DNA of the simplest Virus es has some 5000 base pairs.

  • ''Lang:'' There are about 6500 mutually unintelligible languages and dialects.

  • Meaning in words: 3 orders of magnitude greater.



10<SUP>4</SUP>

(10 000; Ten Thousand )
  • ''BioMed:'' Each neuron in the human brain is estimated to connect to 10,000 others

  • ''Lang:'' There are 20,000–40,000 distinct Chinese Character s, depending on how you count them

  • ''BioMed:'' Each human being is estimated to have 30,000 to 40,000 Gene s

  • ''Records:'' As Of July 2004 , the largest number of decimal places of π that have been recited from memory - > 42000

  • ''Mathematics:'' 65537 is a Fermat Prime



10<SUP>5</SUP>

(100 000; One Hundred Thousand )


10<SUP>6</SUP>

(1 000 000; 1 Million )

ISO: Mega - M
  • ''Info:'' As Of February 2006 , there are approximately 1,000,000 articles in the English Wikipedia

  • ''Geo/Comp - Geographic places:'' The NIMA GEOnet Names Server contains approximately 3.88 million named geographical 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.

  • ''BioMed - Species:'' The World Resources Institute claims that approximately 1.4 million Species have been named, out of an unknown number of total species (estimates range between 2 and 100 million species).

  • ''Mathematics - Chess:'' There are 2 279 184 solutions to N-Queens Problem for n = 15

  • ''Mathematics - Playing cards:'' There are 2 598 960 different 5-card Poker Hand s that can be dealt from a standard 52-card deck.

  • ''Info - Web sites:'' As Of July 2003 , the Netcraft web survey estimates that there are 42 million distinct web sites

  • ''Info - Books:'' The British Library claims that it holds over 150 million items. The Library Of Congress claims that it holds approximately 119 million items. ''See Gutenberg Galaxy ''

  • ''Mathematics:'' 14,772,512 solutions to N-Queens Problem for n = 16

  • ''Mathematics:'' 95,815,104 solutions to N-Queens Problem for n = 17

  • ''Mathematics:'' 215,000,000 - The approximate number of mathematical Constant s collected on the Plouffe's Inverter As Of August 2005 {Link without Title}

  • ''Mathematics:'' 275,305,224 is the number of 5x5 Magic Square s, not counting rotations and reflections. This result was found in 1973 by Richard Schroeppel . It is the third 91768409 -gonal Number .

  • ''Geo:'' approx. 402,000,000 native speakers of English

  • ''Astro - Cataloged stars:'' The Guide Star Catalog II has entries on 998,402,801 distinct astronomical objects



10<SUP>9</SUP>

(1 000 000 000; )

ISO: Giga - G
  • ''Comp - Computational limit of a 32-bit ) 32-bit integer on a computer, thus marking the upper computational limit of a 32-bit CPU such as Intel 's Pentium -class Computer Chip s.

  • ''BioMed - Base pairs in the genome:'' approximately 3 Base Pair s in the human Genome

  • ''Comp - Web pages:'' approximately 8 Web Page s indexed by Google As Of 2004

  • ''Astro - Observable galaxies:'' As Of 2003 there are between 1 and 8 Galaxies in the Observable Universe

  • ''BioMed - Bacteria in the human body:'' there are roughly 1010 bacteria in the human Oral Cavity {Link without Title}

  • ''BioMed - Neurons in the brain:'' approximately 1011 Neuron s in the human Brain

  • ''Astro - Stars in our Galaxy:'' approximately 4 stars in the Milky Way Galaxy

  • ''Geo - India:'' 1,065,000,000 - Approximate population of India in 2003

  • ''Geo - China:'' 1,300,000,000 - Approximate population of the People's Republic Of China in 2004 .

  • ''Geo - World population:'' 6,378,000,000 - Estimated total mid-year population for the world in 2004.

  • ''Mathematics:'' 4,294,967,296 - smallest number of the form (2^(2^n)) that does not produce a Prime Number when 1 is added (n=5).

  • ''Comp:'' 4,294,967,296 - the number of bytes in 4 Gibibyte s; 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.

  • ''Mathematics:'' 2,147,483,647 is a Mersenne Prime .

  • ''Mathematics:'' 4,294,967,297 is a Fermat Number and Semiprime .

  • ''Mathematics:'' 27,704,267,971 and 27,704,267,977 are Sexy Prime s.



10<SUP>12</SUP>

(1 000 000 000 000; short scale: 1 )

ISO: Tera - T


10<SUP>15</SUP>

(1 000 000 000 000 000; short scale: 1 )

ISO: Peta - P


10<SUP>18</SUP>

(1 000 000 000 000 000 000; short scale: 1 )

ISO: Exa - E
  • ''BioMed - Insects:'' It has been estimated that the insect population of the Earth comprises roughly 1018 insects.

  • ''Comp - Computational limit of a 64-bit ) 64-bit integer on a computer.

  • ''Mathematics - Rubik's Cube:'' There are 4.3 different positions of a Rubik's Cube



10<SUP>21</SUP>

(1 000 000 000 000 000 000 000; short scale: 1 sextillion; long scale: 1000 trillion)

ISO: Zetta - Z


10<SUP>24</SUP>

(1 000 000 000 000 000 000 000 000; short scale: 1 septillion; long scale: 1 quadrillion)

ISO: Yotta - Y


10<SUP>27</SUP>

(1 000 000 000 000 000 000 000 000 000; short scale: 1 octillion; long scale: 1000 quadrillion)



10<SUP>30</SUP>

(1 000 000 000 000 000 000 000 000 000 000; short scale: 1 nonillion; long scale: 1 quintillion)


10<SUP>33</SUP>

(1 000 000 000 000 000 000 000 000 000 000 000; short scale: 1 decillion; long scale: 1000 quintillion)

  • ''Mathematics:'' 1,298,074,214,633,706,835,075,030,044,377,087 (≈1.3) is a Carol Prime



10<SUP>36</SUP>

(1 000 000 000 000 000 000 000 000 000 000 000 000; short scale: 1 undecillion; long scale: 1 sextillion)

  • ''Comp - Address range of IPv6 '' (2128) is approximately equal to 3.4, and is the theoretical maximum number of internet addresses that can be allocated under the IPv6 addressing system.

  • ''Comp - IEEE Floating-point Number '' 3.4028235 is approximately equal to the largest value that can be represented by a single-precision IEEE floating-point value.



10<SUP>39</SUP> TO 10<SUP>100</SUP>

See Names Of Large Numbers for the names of these and larger numbers.

  • ''Mathematics:'' 170,141,183,460,469,231,731,687,303,715,884,105,727 (≈1.7) is a Double Mersenne Prime

  • ''Cosmology:'' The Eddington-Dirac Number is roughly 1040.

  • ''Physics'': e^2/Gm^2 \,, the ratio of the Electrical to the Gravitational Force s between two Protons , is roughly 1040.

  • ''Mathematics:'' 53,694,226,297,143,959,644,031,344,050,777,763,036,004,353 (≈5.4) is a Pierpont Prime

  • ''Mathematics:'' 393,050,634,124,102,232,869,567,034,555,427,371,542,904,833 (≈3.9) is a Cullen Prime

  • ''Geo:'' About 1047 molecules of Water on Earth

  • ''Geo:'' Earth consists of roughly 1050 atoms

  • ''Mathematics:'' 359,334,085,968,622,831,041,960,188,598,043,661,065,388,726,959,079,837 (≈3.6) is a Bell Prime

  • ''Cosmology:'' 8 is roughly the number of Plank Time intervals since the Universe is theorized to have been created in the Big Bang 13.7 ± 0.2 Billion years ago

  • ''Mathematics:'' 709,601,635,082,267,320,966,424,084,955,776,789,770,864,725,643,996,885,415,676,682,297 (≈7) - The largest known Prime Factor found by ECM factorization As Of August 2005 {Link without Title}

  • ''Mathematics - 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) - the number of ways to order the cards in a 52-card deck.

  • ''Mathematics:'' 475,420,437,734,698,220,747,368,027,166,749,382,927,701,417,016,557,193,662,268,716,376,935,476,241 (≈4.8) is a Fibonacci Prime

  • ''Astro - Fundamental particles in the observable universe:'' various sources estimate the total number of fundamental particles in the Observable Universe in the range 1080 to 1085. However, these estimates are best regarded as guesswork.

  • ''Math:'' 10100 , a Googol



LARGER THAN 10<SUP>100</SUP>

  • ''Chess:'' Shannon Number , 10120, an estimation of the Game-tree Complexity of chess

  • ''Mathematics - Hist:'' Asankhyeya is equal to 10140 in Ancient India

  • ''Xiangqi:'' 10150, an estimation of the game-tree complexity of Xiangqi

  • ''Physics:'' 8, ratio of the mass-energy in the Observable Universe to the energy of a photon with a wavelength the size of the Observable Universe .

  • ''Physics:'' 4, approximate number of Planck Volume s in the Observable Universe .

  • ''Comp - IEEE Floating-point Number '' 1.7976931348623157 is approximately equal to the largest value that can be represented by a double-precision IEEE floating-point value.

  • ''Mathematics - Go:'' 10365, number of possible moves in the game of Go

  • ''Mathematics:'' 7068555 · 2121301 − 1 is a Sophie Germain Prime

  • ''Mathematics:'' 16869987339975 · 2171960 − 1 is a Chen Prime

  • ''Mathematics:'' 16869987339975 · 2171960 ± 1 are Twin Prime s

  • ''Mathematics:'' 34790!–1 is a Factorial Prime

  • ''Mathematics:'' 392113#+1 is a Primorial Prime

  • ''Mathematics:'' 109,152,051, order of magnitude of the Largest Known Prime , As Of December 2005 . The exact value of that record prime is 230,402,457−1. Proving prime numbers with a thousand to several tens of thousands of decimal digits, depending on special form, can be done in minutes on modern computers.

  • ''Mathematics - Hist:'' 1080,000,000,000,000,000, largest named number in Archimedes ' '' Sand Reckoner ''

  • ''Mathematics:'' 10googol (10^{10^{100}}), a Googolplex

  • ''Mathematics:'' 10^{\,\!10^{10^{34}}}, order of magnitude of an upper bound that occurred in a Proof Of Skewes

  • ''Mathematics:'' 10^{\,\!10^{10^{1000}}}, order of magnitude of another upper bound in a proof of Skewes

  • ''Mathematics:'' '' Moser's Number '' should appear somewhere in this section, but is difficult to calculate

  • ''Mathematics:'' Graham's Number , probably the largest number seriously used in a Mathematical Proof , can be written as f^{64}(4); representation in powers of 10 would be impractical, for the definition of the number see the main article about it.


''Note:'' To correctly interpret the last few entries, keep in mind that exponentiation is performed from right to left. For example,
: 10^{\,\!10^{100}} \mbox{ means } 10^{\,\!(10^{100})}


SEE ALSO



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