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444402102072 = 23347985345319
BaseRepresentation
bin1100111011110000110…
…11011110111100111000
31120111002010221212021210
412131320123132330320
524240113414231242
6540053331203120
744051461353435
oct6357033367470
91514063855253
10444402102072
11161519445925
12721654464a0
1332ba370b616
141771b274b8c
15b85ead1d9c
hex67786def38

444402102072 has 64 divisors (see below), whose sum is σ = 1114654464000. Its totient is φ = 147648219264.

The previous prime is 444402102071. The next prime is 444402102211. The reversal of 444402102072 is 270201204444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444402102071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9783429 + ... + 9828747.

It is an arithmetic number, because the mean of its divisors is an integer number (17416476000).

Almost surely, 2444402102072 is an apocalyptic number.

It is an amenable number.

444402102072 is an abundant number, since it is smaller than the sum of its proper divisors (670252361928).

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

444402102072 is a wasteful number, since it uses less digits than its factorization.

444402102072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46660 (or 46656 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 30.

The spelling of 444402102072 in words is "four hundred forty-four billion, four hundred two million, one hundred two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 479 853 958 1437 1706 1916 2559 2874 3412 3832 5118 5748 6824 10236 11496 20472 45319 90638 135957 181276 271914 362552 408587 543828 817174 1087656 1225761 1634348 2451522 3268696 4903044 9806088 21707801 38657107 43415602 65123403 77314214 86831204 115971321 130246806 154628428 173662408 231942642 260493612 309256856 463885284 520987224 927770568 18516754253 37033508506 55550262759 74067017012 111100525518 148134034024 222201051036 444402102072