Properties of the Number 40161

Forty Thousand One Hundred Sixty-One

Basics

Value: 40160 → 40161 → 40162

Parity: odd

Prime: No

Previous Prime: 40153

Next Prime: 40163

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 × 1217

Divisors: 1, 3, 11, 33, 1217, 3651, 13387, 40161

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110011100001

Octal: 116341

Duodecimal: 1B2A9

Hexadecimal: 9ce1

Square: 1612905921

Square Root: 200.40209579742424

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

a(n) = number of partitions p of n such that the greatest multiplicity of the parts of p is a part of p. A365613

Expansion of 1/((1-4·x)*(1-5·x)*(1-11·x)). A19040

Number of standard Young tableaux of n cells and height >= 6. A218266

Number of n X 5 arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..1 n X 5 array. A220029

Number of standard Young tableaux of 2n cells and height >= n. A318289

Numbers that are the product of 3 distinct primes a,b and c, such that a+b+c, a²+b²+c² and a³+b³+c³ are prime numbers. A176911

Primes p such that x⁵ = 3 has a solution mod p. A40161