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44800400844 = 223210391913147
BaseRepresentation
bin101001101110010011…
…111101110111001100
311021122012212011111100
4221232103331313030
51213222400311334
632325300023100
73144124060353
oct515623756714
9137565764440
1044800400844
1117aaa727271
128823691a90
1342bc767434
14224dd5299a
151273162c99
hexa6e4fddcc

44800400844 has 72 divisors (see below), whose sum is σ = 114478058240. Its totient is φ = 14771266272.

The previous prime is 44800400837. The next prime is 44800400923.

It is a happy number.

44800400844 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44800400799 and 44800400808.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3401079 + ... + 3414225.

Almost surely, 244800400844 is an apocalyptic number.

It is an amenable number.

44800400844 is an abundant number, since it is smaller than the sum of its proper divisors (69677657396).

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

44800400844 is a wasteful number, since it uses less digits than its factorization.

44800400844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14179 (or 14174 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 44800400844 in words is "forty-four billion, eight hundred million, four hundred thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 412 618 919 927 1236 1838 1854 2757 3676 3708 5514 8271 11028 13147 16542 26294 33084 39441 52588 78882 94657 118323 157764 189314 236646 283971 378628 473292 567942 851913 1135884 1354141 1703826 2708282 3407652 4062423 5416564 8124846 12082093 12187269 16249692 24164186 24374538 36246279 48328372 48749076 72492558 108738837 144985116 217477674 434955348 1244455579 2488911158 3733366737 4977822316 7466733474 11200100211 14933466948 22400200422 44800400844