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A googol has no particular significance in mathematics, but is useful when comparing with other very large quantities such as the number of ] in the visible universe or the number of hypothetically possible ] moves. Edward Kasner used it to illustrate the difference between an unimaginably large number and ], and in this role it is sometimes used in teaching mathematics. | A googol has no particular significance in mathematics, but is useful when comparing with other very large quantities such as the number of ] in the visible universe or the number of hypothetically possible ] moves. Edward Kasner used it to illustrate the difference between an unimaginably large number and ], and in this role it is sometimes used in teaching mathematics. | ||
A googol is approximately ''70!'' (] of 70). In the ], one would need 333 bits to represent a googol, i.e, 1 googol ≈ 2<sup>332.19</sup>, or exactly <math>2^{(100/\mathrm{log}_{10}2)}</math>. | A googol is approximately ''70!'' (] of 70). In the ], one would need 333 bits to represent a googol, i.e., 1 googol ≈ 2<sup>332.19</sup>, or exactly <math>2^{(100/\mathrm{log}_{10}2)}</math>. | ||
==See also== | ==See also== | ||
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Revision as of 18:09, 23 March 2012
Template:Two other uses A googol is the large number 10, that is, the digit 1 followed by 100 zeros:
- 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 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 moves. 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, or exactly .
See also
References
- Notes
- Kasner, Edward and Newman, James R. (1940). Mathematics and the Imagination. Simon and Schuster, New York. ISBN 0486417034.
{{cite book}}
: CS1 maint: multiple names: authors list (link)
External links
Large numbers | |||||
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Examples in numerical order | |||||
Expression methods |
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Related articles (alphabetical order) | |||||