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420 is the number following 419 and preceding 421.

Properties[]

  • 420 is a pronic number.[9]
  • 420 is abundant.[10]
  • Its prime factorization is 22 × 31 × 51 × 71.


Approximations[]

Notation Lower bound Upper bound
Up-arrow notation 20 ↑ 2
Scientific notation 4.2 x 102 4.201 x 102
Slow-growing hierarchy \(g_{\omega^{\omega}}(4)\) \(g_{\omega^{\omega}}(5)\)
Copy notation 3[3] 4[3]
Chained arrow notation 20 → 2
Bowers' Exploding Array Function/Bird's array notation {20,2}
Fast-growing hierarchy f2(6) f2(7)
Hardy hierarchy Hω(210) Hω(210)
Middle-growing hierarchy m(ω,8) m(ω,9)
Hyper-E notation E2.6232
Hyper-E notation (non-10 base) \(E[20]2\)
Hyperfactorial array notation 5! 6!
X-Sequence Hyper-Exponential Notation 20{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 \(s(1)(\lambda x . x+1)(209)\) \(s(1)(\lambda x . x+1)(210)\)

Sources[]