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44431055013444 = 22311230599900147
BaseRepresentation
bin10100001101000111010010…
…10000000100011001000100
312211022120022121200012222120
422012203221100010121010
521310424300040412234
6234255202255125540
712234015651155511
oct1206435120043104
9184276277605876
1044431055013444
1113180117270300
124b970525138b0
131ba3aa4825b18
14ad86901b4308
15520b48b46049
hex2868e9404644

44431055013444 has 36 divisors (see below), whose sum is σ = 113954028151152. Its totient is φ = 13463956064240.

The previous prime is 44431055013437. The next prime is 44431055013463.

44431055013444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444310550134442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44431055013396 and 44431055013405.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15299948622 + ... + 15299951525.

Almost surely, 244431055013444 is an apocalyptic number.

44431055013444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44431055013444 is an abundant number, since it is smaller than the sum of its proper divisors (69522973137708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44431055013444 is a wasteful number, since it uses less digits than its factorization.

44431055013444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30599900176 (or 30599900163 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

It can be divided in two parts, 4443105 and 5013444, that added together give a palindrome (9456549).

The spelling of 44431055013444 in words is "forty-four trillion, four hundred thirty-one billion, fifty-five million, thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 30599900147 61199800294 91799700441 122399600588 183599400882 336598901617 367198801764 673197803234 1009796704851 1346395606468 2019593409702 3702587917787 4039186819404 7405175835574 11107763753361 14810351671148 22215527506722 44431055013444