Properties of the Number 144

One Hundred Forty-Four

Basics

Value: 143 → 144 → 145

Parity: even

Prime: No

Previous Prime: 139

Next Prime: 149

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ²

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010000

Octal: 220

Duodecimal: 100

Hexadecimal: 90

Square: 20736

Square Root: 12

Classification

Fibonacci: Yes

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

Coordination sequence for planar net 3.3.3.3.6 (also called the fsz net). A250120

Fibonacci numbers: F(n) = F(n-1) + F(n-2) with F(0) = 0 and F(1) = 1. A45

a(n) = σ(n), the sum of the divisors of n. Also called sigma₁(n). A203

The squares: a(n) = n². A290

Expansion of ∏_k>=0 (1 + x^2k+1); number of partitions of n into distinct odd parts; number of self-conjugate partitions; number of symmetric Ferrers graphs with n nodes. A700

Perfect powers: m^k where m > 0 and k >= 2. A1597

Least integer of each prime signature A124832; also products of primorial numbers A002110. A25487

Numbers that are not squarefree. Numbers that are divisible by a square greater than 1. The complement of A005117. A13929

Powerful numbers, definition (1): if a prime p divides n then p² must also divide n (also called squareful, square full, square-full or 2-powerful numbers). A1694

Quarter-squares: a(n) = floor(n/2)*ceiling(n/2). Equivalently, a(n) = floor(n²/4). A2620

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