The googolseptiplex, googolheptaplex, or googolplexplexplexplexplexplexplex is equal to E100#8 = EEEEEEEE100 in Hyper-E Notation.[1]
It is also equal to \(^{8}10^{2}\) = 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[]
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