Googoloctiplex, googoloktoplex, or googolplexplexplexplexplexplexplexplex is equal to E100#9 = EEEEEEEEE100 in Hyper-E notation.[1]
It is also equal to \(^{10}10^{2}\) = 101010101010101010100, or one followed by googolseptiplex (googolplexplexplexplexplexplexplex) zeros. It is 1010101010101010100+1 digits long.
Writing down the full decimal expansion would take 1010101010101010100-6 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 infix "octi-" and the number "googolplex".
Approximations in other notations[]
Notation | Approximation |
---|---|
Up-arrow notation | \(57 \uparrow \uparrow 10\) |
Chained arrow notation | \(57 \rightarrow 10 \rightarrow 2 \) |
Hyper-E notation | \(\textrm{E}100\#9\) (exact) |
Hyperfactorial array notation | \(13!1\) |
BEAF | \(\{57,10,2\}\) |
Fast-growing hierarchy | \(f^9_2(326)\) |
Hardy hierarchy | \(H_{\omega^29}(324)\) |
Slow-growing hierarchy | \(g_{\varepsilon_0}(10)\) |
Sources[]
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