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Ecetonplex

Ecetonplex in zeroes

The ecetonplex (also called a centillionplex) is equal to E303#2 = EE303 = 1010303, using Hyper-E notation.[1][2] The name was coined by Sbiis Saibian. It is equal to 1 followed by a centillion zeroes. It is much larger than a googolplex. In fact an ecetonplex is greater than a googolplex raised to the power of a googol, which is (1010100)10100 = 1010200 (also known as gargoogol-plexed). It is 10303+1 digits long.

When Sbiis Saibian was young, he called this number centillionillion.[3] It is the only name for a large number he came up with during his childhood. Note that "centillionillion" is not a technically accurate name for this number; logically, "centillionillion" should mean the centillionth -illion, or 103*10303+3 (also called mehectillion). Sbiis Saibian himself notes this on his website.

Written out in decimal form ecetonplex is:

101000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Writing down the full decimal expansion would take 10297 books of 400 pages each, with 2,500 digits on each page.

Names in -illion systems

In the short scale, it is also called:

ten trestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmillitrestrigintatrecenmilliduotrigintatrecentillion

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

ten trecentretriginmillia^100trecentretriginmillia^99trecentretriginmillia^98trecentretriginmillia^97trecentretriginmillia^96trecentretriginmillia^95trecentretriginmillia^94trecentretriginmillia^93trecentretriginmillia^92trecentretriginmillia^91trecentretriginmillia^90trecentretriginmillia^89trecentretriginmillia^88trecentretriginmillia^87trecentretriginmillia^86trecentretriginmillia^85trecentretriginmillia^84trecentretriginmillia^83trecentretriginmillia^82trecentretriginmillia^81trecentretriginmillia^80trecentretriginmillia^79trecentretriginmillia^78trecentretriginmillia^77trecentretriginmillia^76trecentretriginmillia^75trecentretriginmillia^74trecentretriginmillia^73trecentretriginmillia^72trecentretriginmillia^71trecentretriginmillia^70trecentretriginmillia^69trecentretriginmillia^68trecentretriginmillia^67trecentretriginmillia^66trecentretriginmillia^65trecentretriginmillia^64trecentretriginmillia^63trecentretriginmillia^62trecentretriginmillia^61trecentretriginmillia^60trecentretriginmillia^59trecentretriginmillia^58trecentretriginmillia^57trecentretriginmillia^56trecentretriginmillia^55trecentretriginmillia^54trecentretriginmillia^53trecentretriginmillia^52trecentretriginmillia^51trecentretriginmillia^50trecentretriginmillia^49trecentretriginmillia^48trecentretriginmillia^47trecentretriginmillia^46trecentretriginmillia^45trecentretriginmillia^44trecentretriginmillia^43trecentretriginmillia^42trecentretriginmillia^41trecentretriginmillia^40trecentretriginmillia^39trecentretriginmillia^38trecentretriginmillia^37trecentretriginmillia^36trecentretriginmillia^35trecentretriginmillia^34trecentretriginmillia^33trecentretriginmillia^32trecentretriginmillia^31trecentretriginmillia^30trecentretriginmillia^29trecentretriginmillia^28trecentretriginmillia^27trecentretriginmillia^26trecentretriginmillia^25trecentretriginmillia^24trecentretriginmillia^23trecentretriginmillia^22trecentretriginmillia^21trecentretriginmillia^20trecentretriginmillia^19trecentretriginmillia^18trecentretriginmillia^17trecentretriginmillia^16trecentretriginmillia^15trecentretriginmillia^14trecentretriginmillia^13trecentretriginmillia^12trecentretriginmillia^11trecentretriginmillia^10trecentretriginmillia^9trecentretriginmillia^8trecentretriginmillia^7trecentretriginmillia^6trecentretriginmillia^5trecentretriginmillia^4trecentretriginmillia^3trecentretriginmillia^2trecentretriginmilliatrecenduotrigintillion

Approximations

Notation Lower bound Upper bound
Arrow notation \(10\uparrow10\uparrow303\)
Down-arrow notation \(10\downarrow\downarrow304\)
Steinhaus-Moser Notation 140[3][3] 141[3][3]
Copy notation 9[9[303]] 1[10[152]]
H* function H(333H(99)) H(334H(99))
Taro's multivariable Ackermann function A(3,A(3,1005)) A(3,A(3,1006))
Pound-Star Notation #*((1))*((1))*9 #*((1))*((2))*9
BEAF {10,{10,303}}
Bashicu matrix system (0)(1)[1003] (0)(1)[1004]
Hyperfactorial array notation (167!)! (168!)!
Fast-growing hierarchy \(f_2(f_2(998))\) \(f_2(f_2(999))\)
Hardy hierarchy \(H_{\omega^22}(998)\) \(H_{\omega^22}(999)\)
Slow-growing hierarchy \(g_{\omega^{\omega^{\omega^23+3}}}(10)\)

Sources

  1. Hyper-E Numbers - Large Numbers by Sbiis Saibian
  2. Sbiis Saibian's Ultimate Large Numbers List
  3. https://sites.google.com/site/largenumbers/home/4-3/foray A 2nd Grader's Close Encounter with the Infinite - Large Numbers by Sbiis Saibian

See also

Main article: centillion
Eceton series: eceton (= centillion) · ecetonplex · ecetonduplex · ecetontriplex · ecetonquadriplex · ecetonquintiplex
Ecetondex series: ecetondex · ecetondudex · ecetontridex · ecetonquadridex · ecetonquintidex
Ecetonthrex series: ecetonthrex · ecetonduthrex
Ecetontetrex series: ecetontetrex · ecetondutetrex
Ecetonpentex series: ecetonpentex · ecetondupentex
Ecetonhex series: ecetonhex · ecetonduhex
Ecetonheptex series: ecetonheptex · ecetonduheptex
Ecetonoctex series: ecetonoctex · ecetonduoctex
n-ary numbers with multipliers
Eyelash mite group: eyelash mite-speck · eyelash mite-crumb · eyelash mite-chunk · (binary/ternary/octal)eyelash mite · eyelash mite-bunch · eyelash mite-crowd · eyelash mite-swarm
Dust mite group: dust mite-speck · dust mite-crumb · dust mite-chunk · (binary/ternary/octal)dust mite · dust mite-bunch · dust mite-crowd · dust mite-swarm
Cheese mite group: cheese mite-speck · cheese mite-crumb · cheese mite-chunk · (binary/ternary/octal)cheese mite · cheese mite-bunch · cheese mite-crowd · cheese mite-swarm
Clover mite group: clover mite-speck · clover mite-crumb · clover mite-chunk · (binary/ternary/octal)clover mite · clover mite-bunch · clover mite-crowd · clover mite-swarm
Pipsqueak group: (binary/ternary/octal)pipsqueak
Little squeaker group: (binary/ternary/octal)little squeaker
Small fry group: (binary/ternary/octal)small fry
Guppy group: (binary/ternary/octal)guppyspeck · (binary/ternary/octal)guppycrumb · (binary/ternary/octal)guppychunk · (ternary/quaternary/quinary/duodecimal/hexadecimal/vigesimal/sexagesimal)guppy(bit/byte)
Minnow group: (binary/ternary/octal)minnowspeck · (binary/ternary/octal)minnowcrumb · (binary/ternary/octal)minnowchunk · (ternary)minnow(bit/byte)
Goby group: (binary/ternary/octal)gobyspeck · (binary/ternary/octal)gobycrumb · (binary/ternary/octal)gobychunk · (ternary)goby(bit/byte)
Gogol group: (binary/ternary/octal)gogolspeck · (binary/ternary/octal)gogolcrumb · (binary/ternary/octal)gogolchunk · (ternary/quadternary/quinary/duodecimal/hexadecimal/vigesimal/sexagesimal)gogol(bit/byte)
Jumbo shrimp group: (binary/ternary/octal)jumbo shrimp
Lightweight group: (binary/ternary/octal)lightweight
Ogol group: (binary/ternary/octal)ogolspeck · (binary/ternary/octal)ogolcrumb · (binary/ternary/octal)ogolchunk · (ternary/quaternary/quinary/duodecimal/hexadecimal/vigesimal/sexagesimal)ogol(bit/byte)
Tiny twerpuloid group: (binary/ternary/octal)tiny twerpuloid
Googol group: (binary/ternary/octal)googolspeck · (binary/ternary/octal)googolcrumb · (binary/ternary/octal)googolchunk · (ternary/quaternary/quinary/duodecimal/hexadecimal/vigesimal/sexagesimal)googol(bit/byte) · googolbunch · googolcrowd · googolswarm
Eceton group: ecetonspeck · ecetoncrumb · ecetonchunk · ecetonbunch · ecetoncrowd · ecetonswarm
Numbers with -plex
-plex group: (fz-)milliplexion · billiplexion · trilliplexion · guppyplex · googolplexibit · gogolplex · googolplexibyte · ecetonplex · googolplexichime · googolplexitoll · googolplexigong · googolplexibong · googolplexithrong
-duplex group: milliduplexion · billiduplexion · trilliduplexion · guppyduplex · googolduplexibit · gogolduplex · googolduplexibyte · ecetonduplex · googolduplexichime · googolduplexitoll · googolduplexigong · googolduplexibong · googolduplexithrong
-triplex group: millitriplexion · billitriplexion · trillitriplexion · guppytriplex · googoltriplexibit · gogoltriplex · googoltriplexibyte · ecetontriplex · googoltriplexichime · googoltriplexitoll · googoltriplexigong · googoltriplexithrong
-quadriplex group: guppyquadriplex · googolquadriplexibit · gogolquadriplex · googolquadriplexibyte · ecetonquadriplex · googolquadriplexichime · googolquadriplexitoll · googolquadriplexigong
-quintiplex group: guppyquintiplex · googolquintiplexibit · gogolquintiplex · googolquintiplexibyte · ecetonquintiplex · googolquintiplexichime · googolquintiplexitoll · googolquintiplexigong
-sextiplex group: guppysextiplex · googolsextiplexibit · gogolsextiplex · googolsextiplexibyte · ecetonsextiplex · googolsextiplexichime · googolsextiplexitoll · googolsextiplexigong
-septiplex group: guppyseptiplex · googolseptiplexibit · gogolseptiplex · googolseptiplexibyte · ecetonseptiplex · googolseptiplexichime · googolseptiplexitoll · googolseptiplexigong
-octiplex group: guppyoctiplex · googoloctiplexibit · gogoloctiplex · googoloctiplexibyte · ecetonoctiplex · googoloctiplexichime · googoloctiplexitoll · googoloctiplexigong
-noniplex group: guppynoniplex · googolnoniplexibit · gogolnoniplex · googolnoniplexibyte · ecetonnoniplex · googolnoniplexichime · googolnoniplexitoll · googolnoniplexigong
-deciplex group: guppydeciplex · googoldeciplexibit · gogoldeciplex · googoldeciplexibyte · ecetondeciplex · googoldeciplexichime · googoldeciplexitoll · googoldeciplexigong · googoldeciplexibong · googoldeciplexithrong
-vigintiplex group: guppyvigintiplex · googolvigintiplexibit · gogolvigintiplex · googolvigintiplexibyte · eceton-vigintiplex · googolvigintiplexichime · googolvigintiplexitoll · googolvigintiplexigong
-trigintiplex group: guppytrigintiplex · googoltrigintiplexibit · gogoltrigintiplex · googoltrigintiplexibyte · eceton-trigintiplex · googoltrigintiplexichime · googoltrigintiplexitoll · googoltrigintiplexigong
-quadragintiplex group: guppyquadragintiplex · googolquadragintiplexibit · gogolquadragintiplex · googolquadragintiplexibyte · eceton-quadragintiplex · googolquadragintiplexichime · googolquadragintiplexitoll · googolquadragintiplexigong
-quinquagintiplex group: guppyquinquagintiplex · googolquinquagintiplexibit · gogolquinquagintiplex · googolquinquagintiplexibyte · eceton-quinquagintiplex · googolquinquagintiplexichime · googolquinquagintiplexitoll · googolquinquagintiplexigong
-sexagintiplex group: guppysexagintiplex · googolsexagintiplexibit · gogolsexagintiplex · googolsexagintiplexibyte · eceton-sexagintiplex · googolsexagintiplexichime · googolsexagintiplexitoll · googolsexagintiplexigong
-septuagintiplex group: guppyseptuagintiplex · googolseptuagintiplexibit · gogolseptuagintiplex · googolseptuagintiplexibyte · eceton-septuagintiplex · googolseptuagintiplexichime · googolseptuagintiplexitoll · googolseptuagintiplexigong
-octogintiplex group: guppyoctogintiplex · googoloctogintiplexibit · gogoloctogintiplex · googoloctogintiplexibyte · eceton-octogintiplex · googoloctogintiplexichime · googoloctogintiplexitoll · googoloctogintiplexigong
-nonagintiplex group: guppynonagintiplex · googolnonagintiplexibit · gogolnonagintiplex · googolnonagintiplexibyte · eceton-nonagintiplex · googolnonagintiplexichime · googolnonagintiplexitoll · googolnonagintiplexigong
-centiplex group: guppycentiplex · googolcentiplexibit · gogolcentiplex · googolcentiplexibyte · eceton-centiplex · googolcentiplexichime · googolcentiplexitoll · googolcentiplexigong · googolcentiplexibong · googolcentiplexithrong
-milliplex group: guppymilliplex · googolmilliplexibit · gogolmilliplex · googolmilliplexibyte · eceton-milliplex · googolmilliplexichime · googolmilliplexitoll · googolmilliplexigong · googolmilliplexibong · googolmilliplexithrong
-milli-milliplex group: guppymilli-milliplex · googolmilli-milliplexibit · gogolmilli-milliplex · googolmilli-milliplexibyte · eceton-millimilliplex · googolmillimilliplexichime · googolmillimilliplexitoll · googolmillimilliplexigong · googolmillimilliplexibong · googolmillimilliplexithrong

Gugold — Throogol
Gugold—gugolthra series: gugold · gugoldagong · great googol ·gugolda-suplex · gugolda-suplexigong · gugolda-dusuplex · gugolda-dusuplexigong · graatagold · graatagoldagong · graatagolda-sudex · graatagolda-sudexigong · graatagolda-dusudex · graatagolda-dusudexigong · greegold · greegoldagong · greegolda-suthrex · greegolda-suthrexigong · greegolda-dusuthrex · greegolda-dusuthrexigong · grinningold · grinningoldagong · grinningolda-sutetrex · grinningolda-sutetrexigong · grinningolda-dusutetrex · grinningolda-dusutetrexigong · golaagold · golaagoldagong · golaagolda-supentex · golaagolda-supentexigong · golaagolda-dusupentex · golaagolda-dusupentexigong · gruelohgold · gruelohgoldagong · gruelohgolda-suhex · gruelohgolda-suhexigong · gruelohgolda-dusuhex · gruelohgolda-dusuhexigong · gaspgold · gaspgoldagong · gaspgolda-suheptex · gaspgolda-suheptexigong · gaspgolda-dusuheptex · gaspgolda-dusuheptexigong · ginorgold · ginorgoldagong · ginorgolda-suoctex · ginorgolda-suoctexigong · ginorgolda-dusuoctex · ginorgolda-dusuoctexigong · gargantuuld · googondold
Gugolthra—throogol series: gugolthra · graatagolthra · greegolthra · grinningolthra · golaagolthra · gruelohgolthra · gaspgolthra · ginorgolthra · gargantuulthra · googondolthra · gugoltesla · graatagoltesla · greegoltesla · grinningoltesla · golaagoltesla · gruelohgoltesla · gaspgoltesla · ginorgoltesla · gargantuultesla · googondoltesla · gugolpeta · graatagolpeta · greegolpeta · grinningolpeta · golaagolpeta · gruelohgolpeta · gaspgolpeta · ginorgolpeta · gargantuulpeta · googondolpeta · gugolhexa · graatagolhexa · greegolhexa · grinningolhexa · golaagolhexa · gruelohgolhexa · gaspgolhexa · ginorgolhexa · gargantuulhexa · googondolhexa · gugolhepta · graatagolhepta · greegolhepta · grinningolhepta · golaagolhepta · gruelohgolhepta · gaspgolhepta · ginorgolhepta · gargantuulhepta · googondolhepta · gugolocta · graatagolocta · greegolocta · grinningolocta · golaagolocta · gruelohgolocta · gaspgolocta · ginorgolocta · gargantuulocta · googondolocta · gugolenna · graatagolenna · greegolenna · grinningolenna · golaagolenna · gruelohgolenna · gaspgolenna · ginorgolenna · gargantuulenna · googondolenna · gugoldeka · graatagoldeka · greegoldeka · grinningoldeka · golaagoldeka · gruelohgoldeka · gaspgoldeka · ginorgoldeka · gargantuuldeka · googondoldeka
Throogol — Godgahlah-ex-grand godgahlah
Throogol—tetroogol series: throogol · thrangol · threagol · thrigangol · throrgegol · thrulgol · thraspgol · thrinorgol · thrargantuul · throogondol · thrugold · thraatagold · threegold · thrinningold · throlaagold · thruelohgold · thraspgold · thrinorgold · thrargantuuld · throogondold · thrugolthra · thrugoltesla · thrugolpeta · thrugolhexa · thrugolhepta · thrugolocta · throotrigol · thrantrigol · threatrigol · thrutrigold · thraatatrigold · threetrigold · thrutrigolthra · thraatatrigolthra · thrutrigoltesla · thrutrigolpeta · thrutrigolhexa · throotergol · thrantergol · threatergol · thrutergold · thraatatergold · thrutergolthra · thrutergoltesla · thrutergolpeta · thrutergolhexa · throopetol · thranpetol · thrupetold · thrupetolthra · throohexol · thranhexol · thruhexold · thruhexolthra · throoheptgol · throogogdol
Tetroogol—grand grand godgahlahgong series: tetroogol · tetrangol · tetreagol · tetrugold · tetraatagold · tetrugolthra · tetrugoltesla · tetrithroogol · tetrithrootrigol · tetrithrootergol · tetrithroopetol · tetrithroohexol · tetrootrigol · tetratrithroogol · tetratrithrootrigol · tetrootergol · tetraterithroogol · tetroopetol · tetroohexol · tetrooheptgol · tetroogogdol · pentoogol · hexoogol · heptoogol · ogdoogol · ogdahepti-hexapenti-tetrithroogol · ogdatri-hexi-pentateri-tetrapetithrinortrigolthra · entoogol · dektoogol
Godgahlah - godgahlah-ex-grand godgahlah series: godgahlah · godgahlahgong · grand godgahlah · grand godgahlahgong · grand grand godgahlah · grand grand grand godgahlah · grand grand grand grand godgahlah · hundred-ex-grand godgahlah · godgahlah-ex-grand godgahlah