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10442013144 = 2331313321251
BaseRepresentation
bin10011011100110010…
…00111100111011000
3222221201111020011120
421232121013213120
5132341123410034
64444052325240
7516522435003
oct115631074730
928851436146
1010442013144
114479276032
122035013820
13ca544ba04
14710b4253a
15411abec49
hex26e6479d8

10442013144 has 32 divisors (see below), whose sum is σ = 26304315840. Its totient is φ = 3454100000.

The previous prime is 10442013137. The next prime is 10442013149. The reversal of 10442013144 is 44131024401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442013149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1657482 + ... + 1663769.

It is an arithmetic number, because the mean of its divisors is an integer number (822009870).

Almost surely, 210442013144 is an apocalyptic number.

It is an amenable number.

10442013144 is an abundant number, since it is smaller than the sum of its proper divisors (15862302696).

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

10442013144 is a wasteful number, since it uses less digits than its factorization.

10442013144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321391 (or 3321387 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10442013144 its reverse (44131024401), we get a palindrome (54573037545).

The spelling of 10442013144 in words is "ten billion, four hundred forty-two million, thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 131 262 393 524 786 1048 1572 3144 3321251 6642502 9963753 13285004 19927506 26570008 39855012 79710024 435083881 870167762 1305251643 1740335524 2610503286 3480671048 5221006572 10442013144