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414 is the number following 413 and preceding 415.

Properties[]

  • 414 is abundant.[9]
  • Its prime factorization is 21 × 32 × 231.
  • 414 is a palindromic number, meaning it is the same forwards and reverse.[10][11]


Approximations[]

Notation Lower bound Upper bound
Up-arrow notation 20 ↑ 2
Scientific notation 4.14 x 102 4.141 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(207) Hω(207)
Middle-growing hierarchy m(ω,8) m(ω,9)
Hyper-E notation E2.617
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 \(s(1)(\lambda x . x+1)(206)\) \(s(1)(\lambda x . x+1)(207)\)

Sources[]