Properties of the Number 40144

Forty Thousand One Hundred Forty-Four

Basics

Value: 40143 → 40144 → 40145

Parity: even

Prime: No

Previous Prime: 40129

Next Prime: 40151

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 13 × 193

Divisors: 1, 2, 4, 8, 13, 16, 26, 52, 104, 193

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001110011010000

Octal: 116320

Duodecimal: 1B294

Hexadecimal: 9cd0

Square: 1611540736

Square Root: 200.3596765818911

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

T(n,k) is the number of (n+1) X (k+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7 (constant-stress 1 X 1 tilings). A235319

Number of (n+1) X (3+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7 (constant-stress 1 X 1 tilings). A235314

Number of (n+1) X (4+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7 (constant-stress 1 X 1 tilings). A235315

Number of (n+1) X (5+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7 (constant-stress 1 X 1 tilings). A235316

E.g.f. satisfies: A(x)² * log(A(x)) = x * (exp(x·A(x)) - 1). A356883

Number of (n+1) X (n+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7 (constant-stress 1 X 1 tilings). A235311

Primes p such that x⁴ = 18 has no solution mod p. A40144