Googology Wiki
Advertisement
Googology Wiki
"Triangol" redirects here. It is not to be confused with triangrol.

Fzgoogol is equal to googolgoogol = (10100)10100 = 10100*10100 = 1010102. The name is formed by applying the fz- prefix to a googol.[1][2][3] Written as 1010102 it looks only slightly larger than a googolplex, though in reality you need to raise a googolplex to the 100th power to get a fzgoogol. It is 1 followed by exactly 100 times as many zeros as a googolplex has. It is equal to 1 followed by tretrigintillion (short scale) or septendecillion (long scale) zeroes. This number is slightly larger than a googolplex. It is 10102+1 digits long.

Writing down, the full decimal expansion of this number would take 1096 books of 400 pages each, with 2,500 digits on each page (except for the first, which would have 2,501).

A fzgoogol is also an upper-bound to the googolbang.

SuperJedi224 calls this number Triangol (short for "triangle googol"), and it's equal to 10100 in a triangle in Steinhaus-Moser Notation.[4]

RedBandServerYT calls this number googesimal-googolplex[5].

Names in -illion systems

In the short scale, it is also called:

ten trestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentilliduotrigintatrecentillion

According to Landon Curt Noll's The English name of a number, fzgoogol is also known as:

ten trecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliamilliatrecentretriginmilliamilliamilliamilliatrecentretriginmilliamilliamilliatrecentretriginmilliamilliatrecentretriginmilliatrecenduotrigintillion

In Jonathan Bowers' -illion system, fzgoogol also known as:

ten tretrigintitrecentitriotriaconto-tretrigintitrecentiduetriaconto-tretrigintitrecentimetriaconto-tretrigintitrecentitriaconto-tretrigintitrecentienneicoso-tretrigintitrecentiocteicoso-tretrigintitrecentihepteicoso-tretrigintitrecentihexeicoso-tretrigintitrecentipenteicoso-tretrigintitrecentitetreicoso-tretrigintitrecentitrioicoso-tretrigintitrecentidueicoso-tretrigintitrecentimeicoso-tretrigintitrecentiicoso-tretrigintitrecentienneco-tretrigintitrecentiocteco-tretrigintitrecentihepteco-tretrigintitrecentihexeco-tretrigintitrecentipenteco-tretrigintitrecentitetreco-tretrigintitrecentitreco-tretrigintitrecentidueco-tretrigintitrecentimeco-tretrigintitrecentiveco-tretrigintitrecentixono-tretrigintitrecentiyocto-tretrigintitrecentizepto-tretrigintitrecentiatto-tretrigintitrecentifemto-tretrigintitrecentipico-tretrigintitrecentinano-tretrigintitrecentimicro-tretrigintitrecentimilli-doetrigintitrecentillion

Approximations

Notation Lower bound Upper bound
Arrow notation \(10\uparrow10\uparrow102\)
Down-arrow notation \(10\downarrow\downarrow103\)
Steinhaus-Moser Notation 10100[3]
Copy notation 9[9[102]] 1[1[103]]
Chained arrow notation \(10\rightarrow(10\rightarrow102)\)
H* function H(333H(32)) H(334H(32))
Taro's multivariable Ackermann function A(3,A(3,337)) A(3,A(3,338))
Pound-Star Notation #*((1))*(0,6,1,4,5)*7 #*((1))*(7,4,0,4,1)*8
PlantStar's Debut Notation [1,60] [1,61]
BEAF & Bird's array notation {10,{10,102}}
Hyper-E notation E102#2
Bashicu matrix system (0)(1)[18] (0)(1)[19]
Hyperfactorial array notation (69!)! (70!)!
Strong array notation s(10,s(10,102))
Fast-growing hierarchy \(f_2(f_2(332))\) \(f_2(f_2(333))\)
Hardy hierarchy \(H_{\omega^22}(332)\) \(H_{\omega^22}(333)\)
Slow-growing hierarchy \(g_{\omega^{\omega^{\omega^2+2}}}(10)\)

Sources

  1. Cockburn, Alistair. A fuga really big numbers (archived 2016-04-11)
  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.
  4. Big Box - Almost Infinite
  5. RedBandServerYTn-ary numbers. Retrieved 29 November 2021.

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

Numbers By SuperJedi224

Fibonacci Numbers

Pound-Star Notation

Based on the Faxul

Googovipleccix family

Graham Sequence Numbers

-Illion numbers

Advertisement