Megafugagoogolplex is equal to googolplex↑↑googolplex using up-arrow notation[1]. It is equal to {googolplex,googolplex,2} in BEAF. It is equal to a power tower of a googolplex googolplexes. It can be shown to fall between E(100+10100)#(1010100) and E(101+10100)#(1010100) in Hyper-E notation.[2] The name was formed by combining "googolplex" with the megafuga- prefix.
Alistair mentioned this number, and described how it can easily be ignored since his then-six-year-old son would just use gargoogolplex in lieu of the (slightly smaller in doubly exponential terms) googolplex.
Unknown95387 calls this number hypergoogolplex.[3]
Approximation[]
| Notation | Approximation |
|---|---|
| Arrow notation | \(\text{googolplex}\uparrow\uparrow\text{googolplex}\) |
| Fast-growing hierarchy | \(f_3(\text{googolplex})\) |
| Hardy hierarchy | \(H_{\omega^3}(\text{googolplex})\) |
| Slow-growing hierarchy | \(g_{\varepsilon_0}(\text{googolplex})\) |
| Steinhaus-Moser Notation | \((\text{googolplex}-1)[4]\) lower bound \(\text{googolplex}[4]\) upper bound |
| Strong array notation | s(\text{googolplex},\text{googolplex},2) |
| Bowers Exploding Array Function | \(\{ \text{googolplex}, \text{googolplex}, 2\}\) |
| Bird's array notation | \(\{ \text{googolplex}, \text{googolplex}, 2\}\) |
| Hyperfactorial array notation | \(\text{googolplex}!1\) lower bound \((\text{googolplex}+1)!1\) upper bound |
| Chained arrow notation | \(\text{googolplex}\rightarrow\text{googolplex}\rightarrow 2\) |
References[]
See also[]
Gar-: garone · gartwo · garthree · garfour · garfive · garsix · garseven · gareight · garnine · garten · garhundred · garmillion · gargoogol · gareceton · gartrialogue · gargoogolplex · gargiggol
Fz-: fzone · fztwo · fzthree · fzfour · fzfive · fzsix · fzseven · fzeight · fznine · fzten · fztwenty · fzthirty · fzhundred · fzthousand · fzmillion · fzgoogol · fzmilliplexion · fzgoogolplex · fzgargoogolplex · fzgiggol
Fuga-: fugaone · fugatwo · fugathree · fugafour · fugafive · fugasix · fugaseven · fugaeight · fuganine · fugaten · fugahundred · fugagoogol · fugagoogolplex · fugagargoogolplex · fugagiggol
Megafuga-: megafugaone · megafugatwo · megafugathree · megafugafour · megafugafive · megafugasix · megafugaseven · megafugaeight · megafuganine · megafugaten · megafugahundred · megafugagoogol · megafugagoogolplex · megafugagargoogolplex · megafugagargantugoogolplex · megafugagrangol
Extensions:
Booga-:: boogaone · boogatwo · boogathree · boogafour · boogafive · boogasix · boogaten · boogahundred · boogagoogol · boogagoogolplex
Gag-:: gagone · gagtwo · gagthree · gagfour · gagfive · gagsix · gagseven · gageight · gagnine · gagten · gaggoogol · gaggoogolplex