Googolquinplex in zeroes
A googolquinplex or googolquintiplex or googolpentaplex or googolplexplexplexplexplex[1] is one with a googolquadriplex zeroes after it, or 101010101010100.[2][3] In Hyper-E Notation it can be written E100#6.[4] In down-arrow notation it can also be written \(10 \downarrow\downarrow (10^{10^{10^{10^{100}}}}+1)\). It is 1010101010100+1 digits long.
Writing down the full decimal expansion would take 1010101010100-6 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 "quin-" and the number "googolplex".
Other names
Using Aarex Tiaokhiao's -illion generalization of Nirvana's -illions, this number is approximately:[5]
DeepLineMadom calls the number troogolquintiplex and troogolquinplex, and is equal to 10[3]10[3]10[3]10[3]10[3]10[3]100 in DeepLineMadom's Array Notation[6].
Approximations in other notations
| Notation | Approximation |
|---|---|
| Up-arrow notation | \(57 \uparrow \uparrow 7\) |
| Chained arrow notation | \(57 \rightarrow 7 \rightarrow 2 \) |
| Hyper-E notation | \(\textrm{E}100\#6\) (exact) |
| Hyperfactorial array notation | \(10!1\) |
| BEAF | \(\{57,7,2\}\) |
| Fast-growing hierarchy | \(f^6_2(326)\) |
| Hardy hierarchy | \(H_{\omega^2\times 6}(324)\) |
| Slow-growing hierarchy | \(g_{\varepsilon_0}(7)\) |
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
