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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.

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 \(g_{\omega^{\omega^3}}(4)\)

See also

Gar-: garone · gartwo · garthree · garfour · garfive · garsix · garseven · gareight · garnine · garten · garhundred · gargoogol · gartrialogue · gargoogolplex · gargiggol
Fz-: fzone · fztwo · fzthree · fzfour · fzfive · fzsix · fzseven · fzeight · fznine · fzten · fztwenty · fzhundred · fzthousand · fzmillion · fzgoogol · fzmilliplexion · fzgoogolplex · fzgargoogolplex · fzgargantugoogolplex · fzgiggol
Fuga-: fugaone · fugatwo · fugathree · fugafour · fugafive · fugasix · fugaseven · fugaeight · fuganine · fugaten · fugaeleven · fugahundred · fugagoogol · fugagoogolplex · fugagargoogolplex · fugagargantugoogolplex · fugagiggol
Megafuga-: megafugaone · megafugatwo · megafugathree · megafugafour · megafugafive · megafugasix · megafugaseven · megafugaeight · megafuganine · megafugaten · megafugaeleven · megafugatwelve · megafugathirteen · megafugafourteen · megafugafifteen · megafugasixteen · megafugaseventeen · megafugaeighteen · megafuganineteen · megafugatwenty · megafugathirty · megafugaforty · megafugafifty · megafugasixty · megafugaseventy · megafugaeighty · megafuganinety · megafugahundred · megafugagoogol · megafugagoogolplex · megafugagargoogolplex · megafugagargantugoogolplex
Booga-: boogaone · boogatwo · boogathree · boogafour · boogafive · boogasix · boogaten boogahundred · boogagoogol · boogagoogolplex
Gag: gagone · gagtwo · gagthree · gagfour · gagfive · gagsix · gagseven · gageight · gagnine · gagten · gaggoogol · gaggoogolplex

  1. Cockburn, Alistair. A fuga really big numbers (archived 2016
  2. Saibian, Sbiis. The Fz, The Fuga & The Megafuga. Retrieved 2021-07-22.
  3. Cookiefonster. 2.5A. Googological prefixes and suffixes - Pointless Large Number Stuff. Retrieved 2021-07-22.
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