Googology Wiki
Googology Wiki

View full site to see MathJax equation

440 is the number following 439 and preceding 441.

Properties[]

  • 440 is abundant.[8]
  • Its prime factorization is 23 × 51 × 111.


Approximations[]

Notation Lower bound Upper bound
Up-arrow notation 21 ↑ 2
Scientific notation 4.4 x 102 4.401 x 102
Slow-growing hierarchy \(g_{\omega^{\omega}}(4)\) \(g_{\omega^{\omega}}(5)\)
Copy notation 3[3] 4[3]
Chained arrow notation 21 → 2
Bowers' Exploding Array Function/Bird's array notation {21,2}
Fast-growing hierarchy f2(6) f2(7)
Hardy hierarchy Hω(220) Hω(220)
Middle-growing hierarchy m(ω,8) m(ω,9)
Hyper-E notation E2.6435
Hyper-E notation (non-10 base) \(E[21]2\)
Hyperfactorial array notation 5! 6!
X-Sequence Hyper-Exponential Notation 21{1}2
Steinhaus-Moser Notation 4[3] 5[3]
PlantStar's Debut Notation [1] [2]
H* function H(-0.2) H(-0.1)
Bashicu matrix system with respect to version 4 (0)[20] (0)[21]
m(n) map m(1)(4) m(1)(5)
s(n) map \(s(1)(\lambda x . x+1)(219)\) \(s(1)(\lambda x . x+1)(220)\)

Sources[]