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-: garzero · garone · gartwo · garthree · garfour · garfive · garsix · garseven · gareight · garnine · garten · gareleven · gartwelve · garthirteen · garfourteen · garfifteen · garsixteen · garseventeen · gareighteen · garnineteen · gartwenty · gartwenty-one · gartwenty-two · gartwenty-three · gartwenty-four · gartwenty-five · gartwenty-six · gartwenty-seven · gartwenty-eight · gartwenty-nine · gartwenty-nine · garthirty · garthirty-one · garthirty-two · garthirty-three · garthirty-four · garthirty-five · garthirty-six · garthirty-seven · garthirty-eight · garthirty-nine · garforty · garforty-one · garforty-two · garforty-three · garforty-four · garforty-five · garforty-six · garforty-seven · garforty-eight · garforty-nine · garfifty · garfifty-one · garfifty-two · garfifty-three · garfifty-four · garfifty-five · garfifty-six · garfifty-seven · garfifty-eight · garfifty-nine · garsixty · garsixty-five · garseventy · garseventy-five · gareighty · gareighty-five · garninety · garninety-five · garninety-nine · garhundred · garhectargum-zeralum · gareleventy · garsesquiwonx · gartwelfty · garbinary-pipsqueak · garthirteenty · garfourteenty · garboo-pedecol · garseventeenty · garboo-yodecol · garboo-nedecol · garhectargum-unalum · gartarumba · gardollaxul · garkogol · garthousand · garunexian · garmyriad · garlakh · garmillion · garbiexian · garcrore · garmyllion · garbillion · gardialogue · garundoocol · gartrillion · garguppy · garminnow · garlcillion · garogol · gargoogol · gareceton · gartrialogue · gargoogolplex · gargiggol
Fz-: fzone · fztwo · fzthree · fzfour · fzfive · fzsix · fzseven · fzeight · fznine · fzten · fztwelve · fzsixteen · 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