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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).


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 \(g_{\varepsilon_0}(7)\)


See also