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444375372545334 = 232192939442103843
BaseRepresentation
bin110010100001010000011010…
…0001110100011110100110110
32011021101212111202112212200200
41211002200310032203310312
5431221121230332422314
64213035121121421330
7162413026663006026
oct14502406416436466
92137355452485620
10444375372545334
1111965659aa6150a
1241a0ab1119a846
13160c5557c63a99
147ba3c50537a86
1536593535ba709
hex19428343a3d36

444375372545334 has 48 divisors (see below), whose sum is σ = 1013832535060800. Its totient is φ = 140281317481968.

The previous prime is 444375372545309. The next prime is 444375372545339. The reversal of 444375372545334 is 433545273573444.

It is a happy number.

444375372545334 is a `hidden beast` number, since 4 + 4 + 4 + 3 + 7 + 53 + 7 + 2 + 545 + 3 + 34 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444375372545339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220046784 + ... + 222057059.

It is an arithmetic number, because the mean of its divisors is an integer number (21121511147100).

Almost surely, 2444375372545334 is an apocalyptic number.

444375372545334 is an abundant number, since it is smaller than the sum of its proper divisors (569457162515466).

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

444375372545334 is a wasteful number, since it uses less digits than its factorization.

444375372545334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442106809 (or 442106806 counting only the distinct ones).

The product of its digits is 1016064000, while the sum is 63.

The spelling of 444375372545334 in words is "four hundred forty-four trillion, three hundred seventy-five billion, three hundred seventy-two million, five hundred forty-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 2939 5878 8817 17634 26451 52902 55841 111682 167523 335046 502569 1005138 442103843 884207686 1326311529 2652623058 3978934587 7957869174 8399973017 16799946034 25199919051 50399838102 75599757153 151199514306 1299343194577 2598686389154 3898029583731 7796059167462 11694088751193 23388177502386 24687520696963 49375041393926 74062562090889 148125124181778 222187686272667 444375372545334