Googoldeciplex in zeroes
The googoldeciplex (also known as googoldekaplex or googolplexplexplexplexplexplexplexplexplexplex) is equal to E100#11 = EEEEEEEEEEE100 in Hyper-E notation.[1]
It is also equal to 1010101010101010101010100, or a 1 followed by a googolnoniplex (googolplexplexplexplexplexplexplexplexplex) zeroes. It is 10101010101010101010100+1 digits long.
Writing down the full decimal expansion would take 10101010101010101010100-6 books of 400 pages each, with 2,500 digits on each page (except for the first, which would have 2,501).
Etymology
The name of this number is based on SI prefix "deci-" and the number "googolplex".
Approximations in other notations
| Notation | Approximation |
|---|---|
| Up-arrow notation | \(57 \uparrow \uparrow 12\) |
| Chained arrow notation | \(57 \rightarrow 12 \rightarrow 2 \) |
| Hyper-E notation | \(\textrm{E}100\#11\) (exact) |
| Hyperfactorial array notation | \(15!1\) |
| BEAF | \(\{57,12,2\}\) |
| Fast-growing hierarchy | \(f^{11}_2(326)\) ~ \(f_3(11)\) |
| Hardy hierarchy | \(H_{\omega^2{11}}(324)\) |
| Slow-growing hierarchy | \(g_{\varepsilon_0}(12)\) |
Sources
See also
Googol-n-plex: googol · googolplex · googolduplex · googoltriplex · -quadriplex · -quinplex · -sextiplex · -septiplex · -octiplex · -noniplex · -deciplex · -centiplex
Googol-103n-plex: googolmilliplex · -megaplex · -gigaplex · -teraplex · -petaplex · -exaplex · -zettaplex · -yottaplex · -xennaplex · -vekaplex · -mekaplex
Bowers' extensions: giggol · gaggol · geegol · boogol · goobol · more...
Saibian's extensions: googolgong · grangol · greagol · gigangol · more...
Cockburn's extensions: gargoogolplex · fzgoogolplex · fugagoogolplex · megafugagoogolplex
Miscellany: googolteen · googolty · great googol(plex) · googolbang · googolminex · gooprol · little googol/googolbit · zootzootplex
