Properties of the Number 81144

Eighty-One Thousand One Hundred Forty-Four

Basics

Value: 81143 → 81144 → 81145

Parity: even

Prime: No

Previous Prime: 81131

Next Prime: 81157

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 7 ² × 23

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011110011111000

Octal: 236370

Duodecimal: 3AB60

Hexadecimal: 13cf8

Square: 6584348736

Square Root: 284.85785929126126

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Expansion of e.g.f. 1/(1 - (exp(x) - 1)⁴). A353775

Total number of repeated parts in all partitions of n. A194452

Nonsquare numbers whose sum of proper square divisors is a square greater than 1. A232555

Numbers whose sum of proper square divisors is a square greater than 1. A232556

a(n) is the index of the first occurrence of n in A331284. A331285

Triangle read by rows, T(n,k) (n>=0, 0<=k<=n) coefficients of the partial fraction decomposition of rational functions generating the columns of A247498 (the Swiss-Knife polynomials evaluated at nonnegative integers). A247501

Starting at 1, four-fold convolution of A000400 (powers of 6). A81144