Fugafour is equal to 443 = 464 = 2128 = 227, or \(4 \downarrow \downarrow 4\) using down-arrow notation. The name is formed by applying the fuga- prefix to 4.[1][2][3] It is approximately 3.4028*1038 using scientific notation, and it is about 340 undecillion in the short scale or 340 sextillion in the long scale.
It is also the number of possible IPv6 addresses.
Oganso coined overos for this number.[4]
Decimal expansion[]
340,282,366,920,938,463,463,374,607,431,768,211,456
Approximations[]
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(3.402\times10^{38}\) | \(3.403\times10^{38}\) |
| Arrow notation | \(4\uparrow4\uparrow3\) | |
| Steinhaus-Moser Notation | 26[3] | 27[3] |
| Copy notation | 3[39] | 4[39] |
| Taro's multivariable Ackermann function | A(3,125) | A(3,126) |
| Pound-Star Notation | #*(4,2,3,4,8)*5 | #*(4,5,1,5,1)*6 |
| BEAF | {4,{4,3}} | |
| Hyper-E notation | E[4]3#2 | |
| Bashicu matrix system | (0)(0)(0)[65536] | |
| Hyperfactorial array notation | 34! | 35! |
| Strong array notation | s(4,(4,3)) | |
| Fast-growing hierarchy | \(f_2(121)\) | \(f_2(122)\) |
| Hardy hierarchy | \(H_{\omega^2}(121)\) | \(H_{\omega^2}(122)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^3}}(4)\) | |
Sources[]
- ↑ Cockburn, Alistair. A fuga really big numbers (archived 2016.
- ↑ Saibian, Sbiis. The Fz, The Fuga & The Megafuga. Retrieved 2021-07-22.
- ↑ Cookiefonster. 2.5A. Googological prefixes and suffixes - Pointless Large Number Stuff. Retrieved 2021-07-22.
- ↑ binary googology stage 1 (retrieved 2025-01-03)
See also[]
Gar-: garone · gartwo · garthree · garfour · garfive · garsix · garseven · gareight · garnine · garten · gareleven · gartwelve · garthirteen · garfourteen · garfifteen · garsixteen · garseventeen · gareighteen · garnineteen · gartwenty · garhundred · garmillion · garguppy · garogol · 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