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442328323268 = 221361210332213
BaseRepresentation
bin1100110111111001101…
…00101001010011000100
31120021201121202222120102
412123330310221103010
524221342022321033
6535111451023232
743646210466206
oct6337464512304
91507647688512
10442328323268
11160654897147
1271886a3ab18
1332932ba1780
14175a1a92776
15b78c9e8de8
hex66fcd294c4

442328323268 has 72 divisors (see below), whose sum is σ = 848712448584. Its totient is φ = 200519746560.

The previous prime is 442328323211. The next prime is 442328323301. The reversal of 442328323268 is 862323823244.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 117973014784 + 324355308484 = 343472^2 + 569522^2 .

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, 199876130 + ... + 199878342.

It is an arithmetic number, because the mean of its divisors is an integer number (11787672897).

Almost surely, 2442328323268 is an apocalyptic number.

It is an amenable number.

442328323268 is a deficient number, since it is larger than the sum of its proper divisors (406384125316).

442328323268 is a wasteful number, since it uses less digits than its factorization.

442328323268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3322 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 47.

The spelling of 442328323268 in words is "four hundred forty-two billion, three hundred twenty-eight million, three hundred twenty-three thousand, two hundred sixty-eight".

Divisors: 1 2 4 13 26 52 61 122 244 793 1033 1586 2066 2213 3172 3721 4132 4426 7442 8852 13429 14884 26858 28769 48373 53716 57538 63013 96746 115076 126026 134993 193492 252052 269986 539972 819169 1638338 1754909 2286029 3276676 3509818 3843793 4572058 7019636 7687586 8234573 9144116 15375172 16469146 29718377 32938292 49969309 59436754 99938618 107049449 118873508 139447769 199877236 214098898 278895538 428197796 557791076 1812820997 3625641994 7251283988 8506313909 17012627818 34025255636 110582080817 221164161634 442328323268