Googoldeciplex in zeroes
The googoldeciplex (also known as googoldekaplex or googolplexplexplexplexplexplexplexplexplexplex) is equal to E100#11 = EEEEEEEEEEE100 in Hyper-E notation.[1][2]
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).
DeepLineMadom calls the number troogoldeciplex, and is equal to 10[3]10[3]10[3]10[3]10[3]10[3]10[3]10[3]10[3]10[3]10[3]100 in DeepLineMadom's Array Notation.[3]
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[]
- ↑ Pointless Googolplex Stuffs - Googol-n-plex numbers (retrieved March 19, 2024)
- ↑ Plexing googols - Google Docs (retrieved March 19, 2024)
- ↑ Pointless Googolplex Stuffs - DLMAN Part 1 (retrieved 9 November 2024)
See also[]
Originals: googol · googolplex
Cockburn's examples: gargoogolplex · fzgoogolplex · (mega)fugagoogolplex
Googol-n-plex: 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 · biggol · troogol · goobol · more...
Saibian's extensions: googol-minutia · googolchime · googoltoll · googolgong · grangol · greagol · gigangol · gugold · graatagold · gugolthra · throogol · godgahlah · tethrathoth · more...
Miscellany: googolbang (10100!) · googolminex (10^-10100) · googolteen · googolty · great googol(plex) · gooprol · little googol/googolbit · zootzootplex