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Not to be confused with Trillion.

Tryllion is equal to \(10^{32}\) in the -yllion system by Donald Knuth[1][2][3], or 10 squared 5 times. It is equal to 100 nonillion in the short scale and 100 quintillion in the long scale.

It is also called Gou (溝,沟 in Chinese) or Kou (溝 in Japanese) in Japanese counting system and Chinese counting system.[4]

CompactStar gave the name octyriad for this number as part of the -yriad system, referring to it being myriad8.[5]

Decimal expansion[]

100000000000000000000000000000000

Approximations[]

Notation Lower bound Upper bound
Scientific notation \(1\times10^{32}\)
Arrow notation \(10\uparrow32\) or \(10000\uparrow8\)
Steinhaus-Moser Notation 23[3] 24[3]
Copy notation 9[32] 1[33]
Taro's multivariable Ackermann function A(3,103) A(3,104)
Pound-Star Notation #*(7,1,2,3,1)*5 #*(8,3,3,2)*7
BEAF {10,32}
Hyper-E notation E32 or E[10000]8
Bashicu matrix system (0)(0)(0)[10000]
Hyperfactorial array notation 29! 30!
Fast-growing hierarchy \(f_2(99)\) \(f_2(100)\)
Hardy hierarchy \(H_{\omega^2}(99)\) \(H_{\omega^2}(100)\)
Slow-growing hierarchy \(g_{\omega^{\omega3+2}}(10)\)

Sources[]

  1. Donald E. Knuth, Supernatural numbers. Appears as pp. 310-325 in The Mathematical Gardner, ed. David A. Klarner (1981). ISBN 1468466887
  2. Myriad system on Wikipedia
  3. Large numbers By Robert Munafo
  4. 大数の名前
  5. -yriad numbers. Retrieved Apr 21, 2023

See also[]