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For Tiaokhiao's centillion, see novemnonagintillion.

A centillion is equal to 10303 in the short scale, or 10600 in the long scale.[1] It is also equal to googolty3. It is the largest -illion with a name that is officially considered part of the English language - the only larger number with a recognized English name is the googolplex.

For the short scale version, Sbiis Saibian offers the alternative name eceton; it is E303 in his notation.[2] Aarex Tiaokhiao gave the name cemillion, referring to the value of this number.[3]

In the long scale, 10303 is called quinquagintilliard.

The short scale version of this number is exactly equal to one thousand times (reasonably close by googological standards) googol3 and the long scale version is exactly equal to googol6.

Written out in decimal form centillion (in the short scale) is:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

In long scale:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

## ApproximationsEdit

For short scale:

Notation Lower bound Upper bound
Scientific notation $$1\times10^{303}$$
Arrow notation $$10\uparrow303$$
Steinhaus-Moser Notation 140[3] 141[3]
Copy notation 9[303] 10[152]
Chained arrow notation $$10→303$$
Taro's multivariable Ackermann function A(3,1003) A(3,1004)
Pound-Star Notation #*((314))*11 #*((315))*11
BEAF {10,303}
Bashicu matrix system (0)(0)(0)(0)(0)(0)[54246] (0)(0)(0)(0)(0)(0)[54247]
Bird's array notation {10,303}
Hyperfactorial array notation 168! 169!
Strong array notation s(10,303)
Fast-growing hierarchy $$f_2(996)$$ $$f_2(997)$$
Hardy hierarchy $$H_{\omega^2}(996)$$ $$H_{\omega^2}(997)$$
Slow-growing hierarchy $$g_{\omega^{\omega^{2}3+3}}(10)$$

For long scale:

Notation Lower bound Upper bound
Scientific notation $$1\times10^{600}$$
Arrow notation $$10\uparrow600$$
Steinhaus-Moser Notation 250[3] 251[3]
Copy notation 9[600] 1[601]
Chained arrow notation $$10→600$$
Taro's multivariable Ackermann function A(3,1990) A(3,1991)
Pound-Star Notation #*((116))*15 #*((117))*15
BEAF {10,600}
Hyper-E notation E600
Bashicu matrix system (0)(0)(0)(0)(0)(0)(0)[48696] (0)(0)(0)(0)(0)(0)(0)[48697]
Bird's array notation {10,600}
Hyperfactorial array notation 294! 295!
Strong array notation s(10,600)
Fast-growing hierarchy $$f_2(1\,982)$$ $$f_2(1\,983)$$
Hardy hierarchy $$H_{\omega^2}(1\,982)$$ $$H_{\omega^2}(1\,983)$$
Slow-growing hierarchy $$g_{\omega^{\omega^{2}6}}(10)$$

## Sources Edit

1. Centillion at Wolfram MathWorld
2. Saibian, Sbiis. Hyper-E Numbers. Retrieved 2015-02-08.
3. Aarex Tiaokhiao's illion numbers

Main article: -illion
100–109: centillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
110–119: decicentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
120–129: viginticentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
130–139: trigintacentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
140–149: quadragintacentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
150–159: quinquagintacentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
160–169: sexagintacentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
170–179: septuagintacentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
180–189: octogintacentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
190–199: nonagintacentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)

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

Googol — Greagol
Greagol — Gugold
Throogol — Godgahlah-ex-grand godgahlah

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