Properties of the Number -14400

Fourteen Thousand Four Hundred

Basics

Value: -14401 → -14400 → -14399

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ⁶ × 3 ² × 5 ²

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11100001000000

Octal: -34100

Duodecimal: -8400

Hexadecimal: -3840

Square: 207360000

Square Root: 120

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

Coefficient triangle of generalized Laguerre polynomials n!*L(n,4,x) (rising powers of x). A62140

Triangle read by rows: T(n, m) = S1(n, m)*4^n-m, where S1 are the signed Stirling numbers of first kind A008275 (n >= 1, 1 <= m <= n). A51142

Array read by upwards antidiagonals: T(n,k) = ∏_{0 < |n-k·i| <= n} (n-k·i), with n >= 0, k >= 1. A288580

Triangle of coefficients in expansion of xⁿ in terms of Laguerre polynomials L_n(x). A21012

Row 4 of array in A288580. A92398

Matrix log of triangle A111940, which shifts columns left and up under matrix inverse; these terms are the result of multiplying each element in row n and column k by (n-k)!. A111941

E.g.f. A(x) satisfies: (A(x)² - 4·x)⁵ = (2 - A(x)⁵)². A249788

Triangle read by rows: matrix inverse of the central factorial numbers T(2·n, 2·k) (A036969). A204579

Expansion of e.g.f. (1 + x)⁵*log(1 + x). A274270

Triangle T(n, k) = n! * StirlingS1(n, k)/binomial(n, k), read by rows. A142473