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442431242134244 = 22112914114136641
BaseRepresentation
bin110010010011000111000110…
…1000001100110001011100100
32011000112000100222012012122022
41210212032031001212023210
5430442243140441243434
64204550035015522312
7162122413424116556
oct14446161501461344
92130460328165568
10442431242134244
11118a77044031800
124175617b989398
1315cb411950757c
147b37b01b5b4d6
1536239ba40a22e
hex192638d0662e4

442431242134244 has 18 divisors (see below), whose sum is σ = 851040261213702. Its totient is φ = 201105110060800.

The previous prime is 442431242134199. The next prime is 442431242134331.

442431242134244 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 350035661377600 + 92395580756644 = 18709240^2 + 9612262^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 442431242134195 and 442431242134204.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 457057067837 + ... + 457057068804.

Almost surely, 2442431242134244 is an apocalyptic number.

442431242134244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442431242134244 is a deficient number, since it is larger than the sum of its proper divisors (408609019079458).

442431242134244 is a wasteful number, since it uses less digits than its factorization.

442431242134244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914114136667 (or 914114136654 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 44.

The spelling of 442431242134244 in words is "four hundred forty-two trillion, four hundred thirty-one billion, two hundred forty-two million, one hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 4 11 22 44 121 242 484 914114136641 1828228273282 3656456546564 10055255503051 20110511006102 40221022012204 110607810533561 221215621067122 442431242134244