Properties of the Number 40194

Forty Thousand One Hundred Ninety-Four

Basics

Value: 40193 → 40194 → 40195

Parity: even

Prime: No

Previous Prime: 40193

Next Prime: 40213

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 7 × 11 × 29

Divisors: 1, 2, 3, 6, 7, 9, 11, 14, 18, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110100000010

Octal: 116402

Duodecimal: 1B316

Hexadecimal: 9d02

Square: 1615557636

Square Root: 200.48441335924346

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

Sum T(n,k) of the entries in the k-th cycles of all permutations of [n]; triangle T(n,k), n>=1, 1<=k<=n, read by rows. A285439

Triangle T(n, k) = k! - n! + (n-k)! read by rows. A155170

a(n) = L(n) * L(n+1) * L(n+2) * L(n+3), the product of four consecutive Lucas numbers, A000032. A228874

Sum of numbers under a triangle on a spiral staircase of width 10. A111080

Denominator of sum of first n ratios of Fibonacci to Lucas numbers. A125889

Sum of entries in the second cycles of all permutations of [n]. A285489

Those primitive elements of A337386 that have exactly one primitive nondeficient divisor (A006039). A341604

Number of lower triangles of a 4 X 4 0..n array with no element differing from any of its horizontal or vertical neighbors by more than one. A194933

Coefficient of xⁿ in the expansion of 1 / ( (1-x) * (1-x+x³) )^2·n. A372465

Number of lower triangles of an n X n 0..7 array with no element differing from any of its horizontal or vertical neighbors by more than one. A194930