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A '''googol''' is the [[large number]] 10<sup>100</sup>; that is, the [[numerical digit|digit]] 1 followed by 100 [[0 (number)|zeroes]]:
 
:10,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000,&shy;000.
 
The term was coined in 1938<ref>{{cite book| author = Kasner, Edward and Newman, James R. | title = [http://books.google.com/books?id=Ad8hAx-6m9oC&lpg=PP1&dq=Mathematics%20and%20the%20Imagination&pg=PP1#v=onepage&q&f=false Mathematics and the Imagination]| year = 1940| publisher = Simon and Schuster, New York| isbn = 0-486-41703-4}}</ref> by 9-year-old Milton Sirotta, nephew of American [[mathematician]] [[Edward Kasner]]. Kasner popularized the concept in his 1940 book ''[[Mathematics and the Imagination]]''.
 
Other [[Names of large numbers|names]] for googol include '''ten duotrigintillion''' on the [[Long and short scales|short scale]], '''ten thousand sexdecillion''' on the [[Long and short scales|long scale]], or '''ten sexdecilliard''' on the [[Names of large numbers#Extensions of the standard dictionary numbers|Peletier long scale]].
 
A googol has no particular significance in mathematics, but is useful when comparing with other very large quantities such as the number of [[subatomic particles]] in the visible universe or the number of hypothetically possible [[chess]] games. Edward Kasner used it to illustrate the difference between an unimaginably large number and [[infinity]], and in this role it is sometimes used in teaching mathematics.
 
A googol is approximately ''70!'' ([[factorial]] of 70). In the [[binary numeral system]], one would need 333 bits to represent a googol, i.e., 1 googol ≈ 2<sup>332.2</sup>, or exactly <math>2^{(100/\mathrm{log}_{10}2)}</math>.
 
Googol is notable for being the subject of the £1 million question in the infamous episode of ''[[Who Wants to Be a Millionaire? (UK game show)|Who Wants to Be a Millionaire?]]'', when contestant [[Charles Ingram]] [[Who Wants to Be a Millionaire? (UK game show)#Charles Ingram affair|cheated his way through the show]] by getting help from his wife, who was in the audience, and fellow contestant Tecwen Whittock.
 
Widespread sounding of the word occurs through its [[namesake]] of the famous internet company [[Google]], with the name "Google" being a [[spelling|misspelling]] of "googol" by the company's founders,<ref>[http://www.telegraph.co.uk/culture/qi/5157798/QI-Quite-Interesting-facts-about-100.html QI: Quite Interesting facts about 100], ''telegraph.co.uk''</ref> which was picked to signify that the search engine was intended to provide large quantities of information.<ref>{{cite web |url=http://www.google.com/company.html |title=Google! Beta website |publisher=Google, Inc. |archiveurl=https://web.archive.org/web/19990221202430/www.google.com/company.html |archivedate=February 2, 1999 |accessdate=October 12, 2010}}</ref>
 
To give a sense of how big a googol really is, the mass of an electron, just under 1×10<sup>-30</sup>&nbsp;kg, can be compared to the mass of the entire universe, estimated at between 1×10<sup>50</sup>kg and 1×10<sup>60</sup>&nbsp;kg.<ref>{{cite web|author=Elert, Glenn et al.|title=Mass of the Universe |url=http://hypertextbook.com/facts/2006/KristineMcPherson.shtml}}</ref> It is a ratio in the order of about 10<sup>80</sup> to 10<sup>90</sup>, still much smaller than the value of a googol.
__NOTOC__
==See also==
* [[Googolplex]]
* [[Names of large numbers]]
* [[Infinity]]
* [[Only a Trillion]]
 
==References==
{{Reflist}}
 
==External links==
* {{MathWorld | urlname=Googol | title=Googol}}
* {{PlanetMath | urlname=Googol | title=googol}}
* {{cite web|title=Googol and Googolplex|url=http://www.numberphile.com/videos/googolplex.html|work=Numberphile|publisher=[[Brady Haran]]|author=Padilla, Tony|coauthors=Symonds, Ria}}
 
{{Large numbers}}
{{num-stub}}
[[Category:Large integers]]
[[Category:Integers]]
[[Category:Units of amount]]

Revision as of 14:34, 1 February 2014

Template:Distinguish

A googol is the large number 10100; that is, the digit 1 followed by 100 zeroes:

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.

The term was coined in 1938[1] by 9-year-old Milton Sirotta, nephew of American mathematician Edward Kasner. Kasner popularized the concept in his 1940 book Mathematics and the Imagination.

Other names for googol include ten duotrigintillion on the short scale, ten thousand sexdecillion on the long scale, or ten sexdecilliard on the Peletier long scale.

A googol has no particular significance in mathematics, but is useful when comparing with other very large quantities such as the number of subatomic particles in the visible universe or the number of hypothetically possible chess games. Edward Kasner used it to illustrate the difference between an unimaginably large number and infinity, and in this role it is sometimes used in teaching mathematics.

A googol is approximately 70! (factorial of 70). In the binary numeral system, one would need 333 bits to represent a googol, i.e., 1 googol ≈ 2332.2, or exactly .

Googol is notable for being the subject of the £1 million question in the infamous episode of Who Wants to Be a Millionaire?, when contestant Charles Ingram cheated his way through the show by getting help from his wife, who was in the audience, and fellow contestant Tecwen Whittock.

Widespread sounding of the word occurs through its namesake of the famous internet company Google, with the name "Google" being a misspelling of "googol" by the company's founders,[2] which was picked to signify that the search engine was intended to provide large quantities of information.[3]

To give a sense of how big a googol really is, the mass of an electron, just under 1×10-30 kg, can be compared to the mass of the entire universe, estimated at between 1×1050kg and 1×1060 kg.[4] It is a ratio in the order of about 1080 to 1090, still much smaller than the value of a googol.

See also

References

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  2. ↑ QI: Quite Interesting facts about 100, telegraph.co.uk
  3. ↑ Template:Cite web
  4. ↑ Template:Cite web
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