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10402431104 = 271317367733
BaseRepresentation
bin10011011000000100…
…01000000010000000
3222211222000020211002
421230002020002000
5132301010243404
64440120111132
7515532130322
oct115402100200
928758006732
1010402431104
1144589a04aa
1220239054a8
13c9a1a04a0
1470979b612
1540d3a1c1e
hex26c088080

10402431104 has 64 divisors (see below), whose sum is σ = 23630586840. Its totient is φ = 4518690816.

The previous prime is 10402431089. The next prime is 10402431173. The reversal of 10402431104 is 40113420401.

It can be written as a sum of positive squares in 4 ways, for example, as 10110704704 + 291726400 = 100552^2 + 17080^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155579 + ... + 212154.

Almost surely, 210402431104 is an apocalyptic number.

It is an amenable number.

10402431104 is an abundant number, since it is smaller than the sum of its proper divisors (13228155736).

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

10402431104 is a wasteful number, since it uses less digits than its factorization.

10402431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367777 (or 367765 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10402431104 its reverse (40113420401), we get a palindrome (50515851505).

The spelling of 10402431104 in words is "ten billion, four hundred two million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 416 442 544 832 884 1088 1664 1768 2176 3536 7072 14144 28288 367733 735466 1470932 2941864 4780529 5883728 6251461 9561058 11767456 12502922 19122116 23534912 25005844 38244232 47069824 50011688 76488464 81268993 100023376 152976928 162537986 200046752 305953856 325075972 400093504 611907712 650151944 800187008 1300303888 2600607776 5201215552 10402431104