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{{distinguish|Google}}


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.
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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]]

Latest revision as of 15:17, 12 December 2014


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