Googolplex (from the English googolplex ) - a number equal to 10 googol (ten to the power of googol ), that is 10 10 100 . In decimal notation, a number can be represented as one unit and a googol of zeros after it.
Like googol , the term "googolplex" was coined by the American mathematician Edward Kasner ( Eng. Edward Kasner ) and his nephew Milton Sirotta ( Eng. Milton Sirotta ) [1] .
The number of googles (and even more so, googolplex) is greater than the number of all particles in the known part of the universe , which is from 10 79 to 10 81 [2] .
The factorial of googol is more than googolplex: 10 100 ! = 10 9.9565705518 × 10 101
Content
Size
If you print googolplex in books, each of which will contain a million characters (400 pages, 50 lines per page, 50 characters per line), then you will need 10 94 such books. If each book will weigh 100 grams, then their total weight will be 10 93 kilograms. For example, the mass of the Earth is 5.972 x 10 24 kilograms, and the mass of the Milky Way is 6 x 10 42 kilograms.
Further education of numbers
With the suffix -plex , the number of googolplexplex (googolduplex or googolbiplex) is formed ( English googolplexplex ) - ten in the googolplex degree (10 10 10 100 ).
In the same way, you can form an arbitrarily large number, for example, googolpleplepleplex (gugoltriplex) - ten in the degree of googolpleplex (10 10 10 10 100 ).
Next, you can form numbers such as gugoltetraplex, googolpentaplex, googolhexaplex, googolheptaplex, googoltaplex, googolnaplex and googoldexplex.
In the cinema
- In the movie Back to the Future 3 , Dr. Emmett Brown tells Clara that she is alone in googolplex.
- In the animated series The Simpsons , heroes now and then go to the cinema called Springfield Googolplex (for example, in the EIEI- (Annoyed Grunt) episode of the 11th season .
- In the 15th episode of the first season of the television series “ Legends of Tomorrow, ” Ray Palmer calls the power of the explosion on a scale of 1 to 10 equal to googplex.
In the literature
- In the book of American writer Jonathan Safran Foer, “It is terribly loud and prohibitively close,” the protagonist, 9-year-old Oscar Shell, often uses this word, for example, he says to his grandmother: “... you told me googolplex once ...” or thinking: “... I came across a googolplex of people. Who are they? Where are they going? What are they looking for ... " However, he mistakenly believes that googolpleks is “googol to the degree of googol” ;
See also
- Googleplex
Notes
- ↑ Kasner, Edward. Mathematics and the imagination. - Mineola, NY: Dover Publications, 2001.
- ↑ Mass, Size, and Density of the Universe // National Solar Observatory, May 21, 2001
Links
- Weisstein, Eric W. Googolpleks (English) on Wolfram MathWorld .
- Googolplex (English) on the PlanetMath website .