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10442042032 = 244115917747
BaseRepresentation
bin10011011100110010…
…01110101010110000
3222221201112200210111
421232121032222300
5132341130321112
64444053111104
7516522615142
oct115631165260
928851480714
1010442042032
114479295804
122035028494
13ca545bbc6
14710b4cc92
15411ac85a7
hex26e64eab0

10442042032 has 20 divisors (see below), whose sum is σ = 20724907896. Its totient is φ = 5093678720.

The previous prime is 10442041999. The next prime is 10442042063. The reversal of 10442042032 is 23024024401.

It is a happy number.

10442042032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10442041994 and 10442042012.

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 3 ways as a sum of consecutive naturals, for example, 7958218 + ... + 7959529.

Almost surely, 210442042032 is an apocalyptic number.

It is an amenable number.

10442042032 is a deficient number, since it is larger than the sum of its proper divisors (10282865864).

10442042032 is a wasteful number, since it uses less digits than its factorization.

10442042032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15917796 (or 15917790 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 10442042032 its reverse (23024024401), we get a palindrome (33466066433).

The spelling of 10442042032 in words is "ten billion, four hundred forty-two million, forty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 41 82 164 328 656 15917747 31835494 63670988 127341976 254683952 652627627 1305255254 2610510508 5221021016 10442042032