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442440441132 = 2231791879109621
BaseRepresentation
bin1100111000000111000…
…00010101110100101100
31120022000102202011100220
412130003200111310230
524222104223104012
6535130534051340
743652041461354
oct6340340256454
91508012664326
10442440441132
11160702104a38
12718b84a9b50
1332950198ac1
14175b2919b64
15b79779408c
hex6703815d2c

442440441132 has 48 divisors (see below), whose sum is σ = 1038690374400. Its totient is φ = 146576848320.

The previous prime is 442440441109. The next prime is 442440441161. The reversal of 442440441132 is 231144044244.

It is a super-4 number, since 4×4424404411324 (a number of 48 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442440441093 and 442440441102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3981282 + ... + 4090902.

It is an arithmetic number, because the mean of its divisors is an integer number (21639382800).

Almost surely, 2442440441132 is an apocalyptic number.

It is an amenable number.

442440441132 is an abundant number, since it is smaller than the sum of its proper divisors (596249933268).

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

442440441132 is a wasteful number, since it uses less digits than its factorization.

442440441132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111686 (or 111684 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 442440441132 its reverse (231144044244), we get a palindrome (673584485376).

The spelling of 442440441132 in words is "four hundred forty-two billion, four hundred forty million, four hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 179 358 537 716 1074 1879 2148 3758 5637 7516 11274 22548 109621 219242 328863 336341 438484 657726 672682 1009023 1315452 1345364 2018046 4036092 19622159 39244318 58866477 78488636 117732954 205977859 235465908 411955718 617933577 823911436 1235867154 2471734308 36870036761 73740073522 110610110283 147480147044 221220220566 442440441132