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In mathematics, a googol is the name of the number 10100 (a 1 with 100 zeroes). A googolplex is an even larger number, 1010^100 (a 1 with a googol zeroes).
The popular search engine on the World Wide Web, used a play on the word googol, calling themselves Google . Googleplex is the name of the Google company headquarters, an additional play on the mathematical word.
The abbreviated name of a very powerful computer in The Hitch-Hiker's Guide to the Galaxy by Douglas Adams.
'And are you not,' said Fook leaning anxiously forward, 'a greater analyst than the Googleplex Star Thinker in the Seventh Galaxy of Light and Ingenuity which can calculate the trajectory of every single dust particle throughout a five-week Dangrabad Beta sand blizzard?'
- Douglas Adams, 'The Hitch-Hikers's Guide to the Galaxy', 1979, Pan Books, page 141.