Properties of the Number 40124

Forty Thousand One Hundred Twenty-Four

Basics

Value: 40123 → 40124 → 40125

Parity: even

Prime: No

Previous Prime: 40123

Next Prime: 40127

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 7 × 1433

Divisors: 1, 2, 4, 7, 14, 28, 1433, 2866, 5732, 10031

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001110010111100

Octal: 116274

Duodecimal: 1B278

Hexadecimal: 9cbc

Square: 1609935376

Square Root: 200.30976012166755

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)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250468

Numbers k such that prime(k) == 13 (mod k). A116658

Records in A353717. A353722

Number of (n+1)X(2+1) 0..1 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250462

Number of (n+1)X(6+1) 0..1 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250466

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, 1, -1), (0, 1, 1), (1, 0, -1)}. A148697

Primes p such that x⁴ = 12 has a solution mod p. A40124

Number of (n+2)X7 binary arrays avoiding patterns 001 and 100 in rows, columns and nw-to-se diagonals. A202588