- "Googoltetraplex" redirects here. It is not to be confused with googolteraplex.
Googolquadriplex in zeroes
A googolquadriplex is a number equal to one with a googoltriplex zeroes after it, or 1010101010100.[1] The term was coined by Sbiis Saibian. There are a few variants of the name of this number, which are unofficially coined by others or are just refered to without sources: googolquadraplex,[2] googolplexianiteron, [3] googolplexianthory, and googolquadruplex.[4]
In Hyper-E Notation it can be written E100#5.[5][6] In down-arrow notation it can also be written \(10 \downarrow\downarrow (10^{10^{10^{100}}}+1)\). It is 10101010100+1 digits long.
Writing down the full decimal expansion would take 10101010100-6 books of 400 pages each, with 2,500 digits on each page (except for the first, which would have 2,501).
Etymology[]
This word was made by combining "googol" (10100) + "quadri-" (4) + "-plex" (10n).
Other names[]
DeepLineMadom calls the number troogolquadriplex, and is equal to 10[3]10[3]10[3]10[3]10[3]100 in DeepLineMadom's Array Notation[7].
Approximations in other notations[]
| Notation | Approximation |
|---|---|
| Up-arrow notation | \(10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 100\) (exact) |
| Chained arrow notation | \(10 \rightarrow 10^{10^{10^{10^{100}}}}\) (exact) |
| Hyper-E notation | \(\textrm{E}100\#5\) (exact) |
| Hyperfactorial array notation | \(((((69!)!)!)!)!\) |
| BEAF | \(\{10,\{10,\{10,\{10,\{10,100\}\}\}\}\}\) (exact) |
| Fast-growing hierarchy | \(f_2^5(326)\) |
| Hardy hierarchy | \(H_{\omega^25}(326)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^2}}}}}}(10)\) (exact) |
Sources[]
- ↑ Plexing & The Googol Series - Large Numbers by Sbiis Saibian
- ↑ Jonathan Bowers, Infinity Scrapers accessed 2021-12-27
- ↑ saruviel's post described as ©Haven Noahide Fellowship 2010 accessed 2021-12-27
- ↑ Antonio Padilla (2023) "Fantastic numbers and where to find them: A journey to the edge of physics" Penguin Books. ISBN 978-0141992822 p.41
- ↑ Saibian, Sbiis. Hyper-E Numbers.
- ↑ Sbiis Saibian's Ultimate Large Numbers List
- ↑ DeepLineMadom's googology - Numbers I've coined (Retrieved 4 May 2022)
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