Properties of the Number -4144

One Hundred Forty-Four

Basics

Value: -4145 → -4144 → -4143

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 7 × 37

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 37, 56

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1000000110000

Octal: -10060

Duodecimal: -2494

Hexadecimal: -1030

Square: 17172736

Square Root: 64.37390775772433

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 q^-1 * ψ(q) / ψ(q³)³ in powers of q where ψ() is a Ramanujan θ function. A258093

Expansion of f(x, x²) / ψ(x)³ in powers of·where ψ(), f(, ) are Ramanujan θ functions. A258092

a(n) = 2n(19-n). A182428

Coefficients in the expansion of ([s] + [2s]x + [3s]x² + ...)/([r] + [2r]x + [3r]x² + ...); [ ] = floor, r = sqrt(2), s = r/(1-r). A279631

A coefficients of characteristic polynomials of binomial modulo two matrices times their doubled transposes: t(n,m,d)=If[ m <= n, Mod[Binomial[n, m], 2], 0]; M(d)=*Transpose[t(n,m,d)].t(n,m,d).Transpose[t(n,m,d)]. A158200

Solution to the Dancing School Problem with 3 girls and n+3 boys: f(3,n). A79908

Multiples of 14 containing a 14 in their decimal representation. A121034

Twice second pentagonal numbers. A49451

Number of strict integer partitions of n that are empty or have smallest part not dividing all the others. A341450

Number of partitions of n such that the number of parts and the greatest part are coprime. A200750