Information AboutGoogolplex |
| CATEGORIES ABOUT GOOGOLPLEX | |
| integers | |
| large numbers | |
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It can also be written as , or :, or as a 1 followed by a Googol (10100) Zeroes . Note that is the same as because Exponentiation works from the top down. The term ''googol'' was coined by Milton Sirotta , nephew of Mathematician Edward Kasner . ''Googolplex'' was coined by Kasner to define an especially large number by extension from his nephew's idea. HOW BIG IS A GOOGOLPLEX? A googol is greater than the number of Elementary Particle s in the Known Universe , which has been variously estimated from 1072 up to 1087. Since a googolplex is ''one followed by a googol zeroes'', it would not be possible to write down or store a googolplex in Decimal Notation , even if all the matter in the known universe were converted into paper and ink or disk drives. Thinking of this another way, consider printing the digits of a googolplex in unreadable, 1-point font. to write down a googolplex. Thus in the physical world it is difficult to give examples of numbers that compare closely to a googolplex. In analyzing in a black hole with a mass roughly equivalent to the Andromeda Galaxy is in the range of a googolplex. In Pure Mathematics , the magnitude of a googolplex is not as large as some of the specially defined extraordinarily Large Number s, such as those written with Tetration , Knuth's Up-arrow Notation , Steinhaus-Moser Notation , or Conway Chained Arrow Notation . Even more simply, one can name numbers larger than a googolplex with fewer symbols, for example, :, is much larger. This last number can be expressed more concisely as using tetration, or using up-arrow notation. Some , perhaps the largest Natural Number mathematicians actually have a use for. A googolplex is a huge number that can be expressed compactly because of nested exponentiation. Other procedures (like tetration) can express large numbers even more compactly. The natural question is: what procedure uses the smallest number of symbols to express the biggest number? A shows that for n=6 the busy beaver can write down a number at least as big as {Link without Title} . It is an open question whether the seventh busy beaver can express a googolplex. IN POPULAR CULTURE
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