Properties of the Number 45139

Forty-Five Thousand One Hundred Thirty-Nine

Basics

Value: 45138 → 45139 → 45140

Parity: odd

Prime: Yes

Previous Prime: 45137

Next Prime: 45161

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 45139

Divisors: 1, 45139

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000001010011

Octal: 130123

Duodecimal: 22157

Hexadecimal: b053

Square: 2037529321

Square Root: 212.45940788771864

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 nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A241435

Class 7- primes. A81426

Numbers that are the sum of five fourth powers in exactly four ways. A344355

Primes for which the five closest primes are smaller. A75037

Numbers that are the sum of five fourth powers in four or more ways. A344354

Number of planar partitions of n with exactly 2 rows. A91356

a(n) is the position of the first occurrence of n³ in the concatenation of the positive integers in decimal representation. A290787

Number of nX6 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A241433

Number of 5Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A241439

Numbers whose base-4 representation contains exactly one 2 and one 3. A45139