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31813003044 = 223103672
BaseRepresentation
bin11101101000001100…
…111110011100100100
310001010002210000000000
4131220030332130210
51010123112044134
622340435021300
72204233031004
oct355014763444
9101102700000
1031813003044
111254567a059
1261ba13a830
132cccb88874
14177b148004
15c62d9ee99
hex76833e724

31813003044 has 99 divisors (see below), whose sum is σ = 83736825627. Its totient is φ = 10575439704.

The previous prime is 31813003009. The next prime is 31813003051. The reversal of 31813003044 is 44030031813.

The square root of 31813003044 is 178362.

It is a perfect power (a square), and thus also a powerful number.

31813003044 is a `hidden beast` number, since 318 + 1 + 300 + 3 + 0 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31813002999 and 31813003017.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 86683749 + ... + 86684115.

Almost surely, 231813003044 is an apocalyptic number.

31813003044 is the 178362-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31813003044

31813003044 is an abundant number, since it is smaller than the sum of its proper divisors (51923822583).

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

31813003044 is an frugal number, since it uses more digits than its factorization.

31813003044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 31813003044 its reverse (44030031813), we get a palindrome (75843034857).

The spelling of 31813003044 in words is "thirty-one billion, eight hundred thirteen million, three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 367 486 729 734 972 1101 1458 1468 2187 2202 2916 3303 4374 4404 6561 6606 8748 9909 13122 13212 19683 19818 26244 29727 39366 39636 59049 59454 78732 89181 118098 118908 134689 178362 236196 267543 269378 356724 404067 535086 538756 802629 808134 1070172 1212201 1605258 1616268 2407887 2424402 3210516 3636603 4815774 4848804 7223661 7273206 9631548 10909809 14447322 14546412 21670983 21819618 28894644 32729427 43341966 43639236 65458854 86683932 98188281 130917708 196376562 294564843 392753124 589129686 883694529 1178259372 1767389058 2651083587 3534778116 5302167174 7953250761 10604334348 15906501522 31813003044