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The Tritet Jr. is equal to \(4 \uparrow\uparrow 4\) in up-arrow notation[1], or \( \lbrace 4,4,2 \rbrace \) in BEAF.[2] The number used to be called tritet, a much larger number named and renamed by Jonathan Bowers. Sbiis Saibian coined the new name. Using Alistair Cockburn's megafuga- prefix, Tritet Jr. can be named "megafugafour".[3] It can also be named "boogafour" using the booga- prefix.

It is approximately 108.0723*10153, meaning that it's somewhat larger than a googolplex. The decimal expansion of Tritet Jr. is: 23610226714597313206............36860456095261392896. The leading digits are computed using logarithms and the terminating digits are computed using modular exponentiation.

Wiki user Hyp cos calls this number a tetbo, and it's equal to s(4,4,2), s(4,2,3), s(4,2,1,2), or s(4,2{2}2) in strong array notation. [4]

-illion name Edit

Using Jonathan Bower's -illions series, some -illion name terms for Tritet Jr. are:

23 Twenty-three

duo-mepentaconto- nonagintisescenti-pentaconto- octosexagintiseptingenti-ennetetraconto- duoquadragintiducenti-octetetraconto- novem-heptetetraconto- octoquadringenti-hexetetraconto- novemquinquagintiquadringenti-pentetetraconto- quattuornonagintiseptingenti-tetretetraconto- deciducenti-tretetraconto- doetriginticenti-duetetraconto- unsexagintitrecenti-metetraconto- novemnonagintiseptingenti-tetraconto- sexseptuagintisescenti-ennetriaconto- nonagintisescenti-octetriaconto- quinquinquagintiquadringenti-heptetriaconto- treseptuagintinongenti-hexetriaconto- doedecinongenti-pentetriaconto- quattuordecinongenti-tetretriaconto- trequadragintitrecenti-tretriaconto- quinquinquagintinongenti-duetriaconto- quattuornonagintisescenti-metriaconto- sexseptuagintiducenti-triaconto- novemtriginticenti-enneicoso- unseptuagintiquadringenti-octeicoso- trenonagintiquadringenti-hepteicoso- sexquinquagintioctingenti-hexeicoso- centreti-penteicoso- novemquadraginti-tetreicoso- doetrigintiseptingenti-trioicoso- septuagintinongenti-dueicoso- quattuorsescenti-meiocoso- nongenti-icoso- novemquadringenti-enneco- septenvigintioctingenti-octeco- septendecioctingenti-hepteco- septenvigintitrecenti-hexeco- quinoctoginticenti-penteco- octoquinquagintioctingenti-treteco- septenquinquagintiducenti-treco- doequinquaginti-dueco- quinsexaginticenti-meco- quinoctogintiquadringenti-veco- sexquadragintiseptingenti-xono- octoseptuaginticenti-yocto- tretrigintiquadringenti-zepto- novemviginti-atto- sexaginticenti-femto- quattuordeciquadringenti-pico- sexnonagintinongenti-nano- trequinquagintiseptingenti-micro- treoctogintiseptingenti-milli- quinseptingentillion

610 Six hundred ten

duo-mepentaconto- nonagintisescenti-pentaconto- octosexagintiseptingenti-ennetetraconto- duoquadragintiducenti-octetetraconto- novem-heptetetraconto- octoquadringenti-hexetetraconto- novemquinquagintiquadringenti-pentetetraconto- quattuornonagintiseptingenti-tetretetraconto- deciducenti-tretetraconto- doetriginticenti-duetetraconto- unsexagintitrecenti-metetraconto- novemnonagintiseptingenti-tetraconto- sexseptuagintisescenti-ennetriaconto- nonagintisescenti-octetriaconto- quinquinquagintiquadringenti-heptetriaconto- treseptuagintinongenti-hexetriaconto- doedecinongenti-pentetriaconto- quattuordecinongenti-tetretriaconto- trequadragintitrecenti-tretriaconto- quinquinquagintinongenti-duetriaconto- quattuornonagintisescenti-metriaconto- sexseptuagintiducenti-triaconto- novemtriginticenti-enneicoso- unseptuagintiquadringenti-octeicoso- trenonagintiquadringenti-hepteicoso- sexquinquagintioctingenti-hexeicoso- centreti-penteicoso- novemquadraginti-tetreicoso- doetrigintiseptingenti-trioicoso- septuagintinongenti-dueicoso- quattuorsescenti-meiocoso- nongenti-icoso- novemquadringenti-enneco- septenvigintioctingenti-octeco- septendecioctingenti-hepteco- septenvigintitrecenti-hexeco- quinoctoginticenti-penteco- octoquinquagintioctingenti-treteco- septenquinquagintiducenti-treco- doequinquaginti-dueco- quinsexaginticenti-meco- quinoctogintiquadringenti-veco- sexquadragintiseptingenti-xono- octoseptuaginticenti-yocto- tretrigintiquadringenti-zepto- novemviginti-atto- sexaginticenti-femto- quattuordeciquadringenti-pico- sexnonagintinongenti-nano- trequinquagintiseptingenti-micro- treoctogintiseptingenti-milli- quattuorseptingentillion

226 Two hundred twenty-six

duo-mepentaconto- nonagintisescenti-pentaconto- octosexagintiseptingenti-ennetetraconto- duoquadragintiducenti-octetetraconto- novem-heptetetraconto- octoquadringenti-hexetetraconto- novemquinquagintiquadringenti-pentetetraconto- quattuornonagintiseptingenti-tetretetraconto- deciducenti-tretetraconto- doetriginticenti-duetetraconto- unsexagintitrecenti-metetraconto- novemnonagintiseptingenti-tetraconto- sexseptuagintisescenti-ennetriaconto- nonagintisescenti-octetriaconto- quinquinquagintiquadringenti-heptetriaconto- treseptuagintinongenti-hexetriaconto- doedecinongenti-pentetriaconto- quattuordecinongenti-tetretriaconto- trequadragintitrecenti-tretriaconto- quinquinquagintinongenti-duetriaconto- quattuornonagintisescenti-metriaconto- sexseptuagintiducenti-triaconto- novemtriginticenti-enneicoso- unseptuagintiquadringenti-octeicoso- trenonagintiquadringenti-hepteicoso- sexquinquagintioctingenti-hexeicoso- centreti-penteicoso- novemquadraginti-tetreicoso- doetrigintiseptingenti-trioicoso- septuagintinongenti-dueicoso- quattuorsescenti-meiocoso- nongenti-icoso- novemquadringenti-enneco- septenvigintioctingenti-octeco- septendecioctingenti-hepteco- septenvigintitrecenti-hexeco- quinoctoginticenti-penteco- octoquinquagintioctingenti-treteco- septenquinquagintiducenti-treco- doequinquaginti-dueco- quinsexaginticenti-meco- quinoctogintiquadringenti-veco- sexquadragintiseptingenti-xono- octoseptuaginticenti-yocto- tretrigintiquadringenti-zepto- novemviginti-atto- sexaginticenti-femto- quattuordeciquadringenti-pico- sexnonagintinongenti-nano- trequinquagintiseptingenti-micro- treoctogintiseptingenti-milli- treseptingentillion

714 Seven hundred fourteen

duo-mepentaconto- nonagintisescenti-pentaconto- octosexagintiseptingenti-ennetetraconto- duoquadragintiducenti-octetetraconto- novem-heptetetraconto- octoquadringenti-hexetetraconto- novemquinquagintiquadringenti-pentetetraconto- quattuornonagintiseptingenti-tetretetraconto- deciducenti-tretetraconto- doetriginticenti-duetetraconto- unsexagintitrecenti-metetraconto- novemnonagintiseptingenti-tetraconto- sexseptuagintisescenti-ennetriaconto- nonagintisescenti-octetriaconto- quinquinquagintiquadringenti-heptetriaconto- treseptuagintinongenti-hexetriaconto- doedecinongenti-pentetriaconto- quattuordecinongenti-tetretriaconto- trequadragintitrecenti-tretriaconto- quinquinquagintinongenti-duetriaconto- quattuornonagintisescenti-metriaconto- sexseptuagintiducenti-triaconto- novemtriginticenti-enneicoso- unseptuagintiquadringenti-octeicoso- trenonagintiquadringenti-hepteicoso- sexquinquagintioctingenti-hexeicoso- centreti-penteicoso- novemquadraginti-tetreicoso- doetrigintiseptingenti-trioicoso- septuagintinongenti-dueicoso- quattuorsescenti-meiocoso- nongenti-icoso- novemquadringenti-enneco- septenvigintioctingenti-octeco- septendecioctingenti-hepteco- septenvigintitrecenti-hexeco- quinoctoginticenti-penteco- octoquinquagintioctingenti-treteco- septenquinquagintiducenti-treco- doequinquaginti-dueco- quinsexaginticenti-meco- quinoctogintiquadringenti-veco- sexquadragintiseptingenti-xono- octoseptuaginticenti-yocto- tretrigintiquadringenti-zepto- novemviginti-atto- sexaginticenti-femto- quattuordeciquadringenti-pico- sexnonagintinongenti-nano- trequinquagintiseptingenti-micro- treoctogintiseptingenti-milli- duoseptingentillion

597 Five hundred ninety-seven

duo-mepentaconto- nonagintisescenti-pentaconto- octosexagintiseptingenti-ennetetraconto- duoquadragintiducenti-octetetraconto- novem-heptetetraconto- octoquadringenti-hexetetraconto- novemquinquagintiquadringenti-pentetetraconto- quattuornonagintiseptingenti-tetretetraconto- deciducenti-tretetraconto- doetriginticenti-duetetraconto- unsexagintitrecenti-metetraconto- novemnonagintiseptingenti-tetraconto- sexseptuagintisescenti-ennetriaconto- nonagintisescenti-octetriaconto- quinquinquagintiquadringenti-heptetriaconto- treseptuagintinongenti-hexetriaconto- doedecinongenti-pentetriaconto- quattuordecinongenti-tetretriaconto- trequadragintitrecenti-tretriaconto- quinquinquagintinongenti-duetriaconto- quattuornonagintisescenti-metriaconto- sexseptuagintiducenti-triaconto- novemtriginticenti-enneicoso- unseptuagintiquadringenti-octeicoso- trenonagintiquadringenti-hepteicoso- sexquinquagintioctingenti-hexeicoso- centreti-penteicoso- novemquadraginti-tetreicoso- doetrigintiseptingenti-trioicoso- septuagintinongenti-dueicoso- quattuorsescenti-meiocoso- nongenti-icoso- novemquadringenti-enneco- septenvigintioctingenti-octeco- septendecioctingenti-hepteco- septenvigintitrecenti-hexeco- quinoctoginticenti-penteco- octoquinquagintioctingenti-treteco- septenquinquagintiducenti-treco- doequinquaginti-dueco- quinsexaginticenti-meco- quinoctogintiquadringenti-veco- sexquadragintiseptingenti-xono- octoseptuaginticenti-yocto- tretrigintiquadringenti-zepto- novemviginti-atto- sexaginticenti-femto- quattuordeciquadringenti-pico- sexnonagintinongenti-nano- trequinquagintiseptingenti-micro- treoctogintiseptingenti-milli- unseptingentillion

... ...

2,690,768,242,009,408,459,794,210,132,361,799,676,690,455,973,912,914,343,955,694,276,139,471
,493,856,103,049,732,970,604,900,409,827,817,327,185,858,257,052,165,485,746,178,433,029,160
,414,996,753,783,695 more groups of -illion names.

456 Four hundred fifty-six trillion
95 Ninety-five billion
261 Two hundred sixty-one million
392 Three hundred ninety-two thousand
896 Eight hundred ninety-six

Approximations Edit

Notation Approximation
Scientific notation \(10^{8.0723\times10^{153}}\)
BEAF \(\{4,4,2\}\) (exact)
Hyper-E notation \(E(4)1\#4\) (exact)
Chained arrow notation \(4\rightarrow4\rightarrow2\) (exact)
Hyperfactorial array notation \(6!1\)
Fast-growing hierarchy \(f_3(4)\)
Hardy hierarchy \(H_{\omega^3}(3)\)
Slow-growing hierarchy \(g_{\varepsilon_0}(4)\) (exact)

Sources Edit

  1. Ascending with Up Arrows
  2. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.
  3. 3.2.2 - The Fz, The Fuga & The Megafuga
  4. Numbers from linear array notation | Steps Toward Infinity!

See also Edit

Tritri series (repeating linear arrays)

3 entries: tritri · tritet · tripent · trisept · tridecal
4 entries: tetratri · supertet · general(plex) (tetradecal)
5-10 entries: pentatri · superpent · pentadecal(plex) · hexatri · superhex · hexadecal(plex) · heptatri · supersept · heptadecal · superoct · octadecal · superenn · ennadecal · iteral (superdecal)
Over 10 entries: ultatri · dupertri · duperdecal (iteralplex) · truperdecal · quadruperdecal


Numbers named with the fuga- family of prefixes

Gar-: garone · gartwo · garthree · garfour · garfive · garsix · garseven · gareight · garnine · garten · garhundred · gargoogol · gargoogolplex
Fz-: fzone · fztwo · fzthree · fzfour · fzfive · fzsix · fzseven · fzeight · fznine · fzten · fzeleven · fzhundred · fzgoogol · fzmilliplexion · fzgoogolplex · fzgargoogolplex · fzgargantugoogolplex
Fuga-: fugaone · fugatwo · fugathree · fugafour · fugafive · fugasix · fugaseven · fugaeight · fuganine · fugaten · fugahundred · fugagoogol · fugagoogolplex · fugagargoogolplex · fugagargantugoogolplex
Megafuga-: megafugaone · megafugatwo · megafugathree · megafugafour · megafugafive · megafugasix · megafugaseven · megafugaeight · megafuganine · megafugaten · megafugahundred · megafugagoogol · megafugagoogolplex · megafugagargoogolplex · megafugagargantugoogolplex
Booga-: boogaone · boogatwo · boogathree · boogafour · boogafive · boogasix · boogaseven · boogaeight · booganine · boogaten · boogahundred · boogagoogol · boogagoogolplex

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