The googolseptiplex, googolheptaplex, or googolplexplexplexplexplexplexplex is equal to E100#8 = EEEEEEEE100 in Hyper-E Notation.[1]
It is also equal to \(^{9}10^{2}\) = 1010101010101010100, or one followed by a googolsextiplex (googolplexplexplexplexplexplex) zeros. It is 10101010101010100+1 digits long.
Writing down the full decimal expansion would take 10101010101010100-6 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 Latin prefix "septi-" and the number "googolplex"
Approximations in other notations
| Notation | Approximation |
|---|---|
| Up-arrow notation | \(57 \uparrow \uparrow 9\) |
| Chained arrow notation | \(57 \rightarrow 9 \rightarrow 2 \) |
| Notation Array Notation | \((57\{2,2\}9)\) |
| Hyper-E notation | \(\textrm{E}100\#8\) (exact) |
| Hyperfactorial array notation | \(12!1\) |
| BEAF | \(\{57,9,2\}\) |
| Bird’s array notation | \(\{57,9,2\}\) |
| Fast-growing hierarchy | \(f^8_2(326)\) |
| Hardy hierarchy | \(H_{\omega^28}(324)\) |
| Slow-growing hierarchy | \(g_{\varepsilon_0}(9)\) |
Sources
- ↑ Saibian, Sbiis. Hyper-E Numbers.
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
