Maximustrillion

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The maximustrillion or trillionplex^[1] or trilliplexion^[2] is equal to \(10^{1{,}000{,}000{,}000{,}000}\), or one followed by a trillion zeros using the short scale definition of a trillion. It is also equal to \(10^{10^{12}}\).^[3] It is the 10,000,000,000th power of a googol, the 10,000,000th power of a googolgong, the 1,000,000th power of a milliplexion and the 1,000th power of a billiplexion. It is 1,000,000,000,001 digits long.

The hypothetical inflationary universe is about a maximustrillion meters across, according to Alan Guth's inflationary model.^[3]

Rudy Rucker named this number teraplex in a book "Mind tools",^[4] with a definition of -plex suffix.

Writing down the full decimal expansion would take 1,000,000 books of 400 pages each, with 2,500 digits on each page (except for the first, which would have 2,501).

Names in -illion systems[]

In the short scale, it is also called:

ten trestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmilliduotrigintatrecentillion

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

ten trecentretriginmilliamilliamilliatrecentretriginmilliamilliatrecentretriginmilliatrecenduotrigintillion

Approximations[]

Notation	Lower bound	Upper bound
Scientific notation	\(1\times10^{1\,000\,000\,000\,000}\) (exact)
Arrow notation	\(10\uparrow10\uparrow12\) (exact)
Down-arrow notation	\(10\downarrow\downarrow13\) (exact)
Steinhaus-Moser Notation	10[3][3]	11[3][3]
Copy notation	9[9[12]]	1[1[13]]
H* function	H(333H(2))	H(334H(2))
Taro's multivariable Ackermann function	A(3,A(3,38))	A(3,A(3,39))
Pound-Star Notation	#((1))(9)*5	#((1))(47)*3
BEAF	{10,{10,12}} (exact)
Hyper-E notation	E12#2 (exact)
Bashicu matrix system	(0)(1)[6]	(0)(1)[7]
Hyperfactorial array notation	(14!)!	(15!)!
Fast-growing hierarchy	\(f_2(f_2(36))\)	\(f_2(f_2(37))\)
Hardy hierarchy	\(H_{\omega^22}(36)\)	\(H_{\omega^22}(37)\)
Slow-growing hierarchy	\(g_{\omega^{\omega^{\omega+2}}}(10)\)

Sources[]

↑ http://michaelhalm.tripod.com/id118.htm
↑ Hyper-E numbers
↑ ^3.0 ^3.1 Ultimate Finite Numbers List Part I
↑ Rucker, Rudy v. B. Mind tools : the five levels of mathematical reality. Boston: Houghton Miffin, 1987. OCLC 9780395383155

See also[]

Maximusbillion

Saibian's guppy regiment numbers

-minutia group

guppy-minutia · minnow-minutia · goby-minutia · gogol-minutia · ogol-minutia · googol-minutia (-speck)

n-ary numbers with multipliers

Numbers with base-multipliers

-ding group: (binary/octal)guppyding · (binary/octal)gogolding · ogolding · (binary/octal)googolding · ecetonding
-chime group: (binary/octal)guppychime · (binary/octal)gogolchime · ogolchime · (binary/octal)googolchime · ecetonchime
-bell group: guppybell · gogolbell · ogolbell · googolbell · ecetonbell
-toll group: guppytoll · gogoltoll · ogoltoll · googoltoll · ecetontoll
-gong group: guppygong · gogolgong · ogolgong · googolgong · ecetongong
-bong group: guppybong · gogolbong · ogolbong · googolbong · ecetonbong
-throng group: guppythrong · gogolthrong · ogolthrong · googolthrong · ecetonthrong
-gandingan group: guppygandingan · gogolgandingan · ogolgandingan · googolgandingan · ecetongandingan
Higher googol-n-gongs: googolquintigong · googolsextigong · googolseptigong · googoloctigong · googolnonigong · googoldecigong · googol-undecigong · googol-duodecigong · googol-tredecigong · googol-quattuordecigong · googol-quindecigong · googol-sexdecigong · googol-septendecigong · googol-octodecigong · googol-novemdecigong · googolvigintigong · googoltrigintigong · googolquadragintigong · googolquinquagintigong · googolsexagintigong · googolseptuagintigong · googoloctogintigong · googolnonagintigong · googolcentigong · googolmilligong · googolmilli-milligong

Numbers with -plex

[1] ttp://michaelhalm.tripod.com/id118.htm

[2] Hyper-E numbers

[UFNL-3] 3.0 ^3.1 Ultimate Finite Numbers List Part I

[4] Rucker, Rudy v. B. Mind tools : the five levels of mathematical reality. Boston: Houghton Miffin, 1987. OCLC 9780395383155

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