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Not to be confused with trecentillion.

The centretillion[1], trecentillion[2] or trescentillion[3] is equal to \(10^{312}\) in short scale. It is equal to \(10^{618}\) in long scale. It is 313 digits long in short scale, or 619 digits long in long scale.

ApproximationsEdit

For short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{312}\)
Arrow notation \(10\uparrow312\)
Steinhaus-Moser Notation 144[3] 145[3]
Copy notation 9[312] 1[313]
Chained arrow notation \(10→312\)
Taro's multivariable Ackermann function A(3,1033) A(3,1034)
Pound-Star Notation #*((844))*11 #*((845))*11
BEAF {10,312}
Hyper-E notation E312
Bashicu matrix system (0)(0)(0)(0)(0)(0)[74989] (0)(0)(0)(0)(0)(0)[74990]
Bird's array notation {10,312}
Hyperfactorial array notation 172! 173!
Strong array notation s(10,312)
Fast-growing hierarchy \(f_2(1026)\) \(f_2(1027)\)
Hardy hierarchy \(H_{\omega^2}(1026)\) \(H_{\omega^2}(1027)\)
Slow-growing hierarchy \(g_{\omega^{\omega^23+\omega+2}}(10)\)

For long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{618}\)
Arrow notation \(10\uparrow618\)
Steinhaus-Moser Notation 256[3] 257[3]
Copy notation 9[618] 1[619]
Taro's multivariable Ackermann function A(3,2049) A(3,2050)
Pound-Star Notation #*((485))*15 #*((486))*15
BEAF {10,618}
Hyper-E notation E618
Bashicu matrix system (0)(0)(0)(0)(0)(0)(0)[67317] (0)(0)(0)(0)(0)(0)(0)[67318]
Hyperfactorial array notation 301! 302!
Fast-growing hierarchy \(f_2(2041)\) \(f_2(2042)\)
Hardy hierarchy \(H_{\omega^2}(2041)\) \(H_{\omega^2}(2042)\)
Slow-growing hierarchy \(g_{\omega^{\omega^26+\omega+8}}(10)\)

Sources Edit

  1. Illion Numbers
  2. http://users.skynet.be/nizgorur/very_big_numbers.htm
  3. https://sites.google.com/site/largenumbers/home/2-4/AAA

See also Edit

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-)
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