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10400131144 = 2313367521523
BaseRepresentation
bin10011010111110010…
…10110100001001000
3222211210200101212101
421223321112201020
5132244413144034
64435554523144
7515503441024
oct115371264110
928753611771
1010400131144
11445766a507
122022b964b4
13c99876670
1470935d384
1540d09a514
hex26be56848

10400131144 has 64 divisors (see below), whose sum is σ = 21138243840. Its totient is φ = 4768657920.

The previous prime is 10400131139. The next prime is 10400131151. The reversal of 10400131144 is 44113100401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19885267 + ... + 19885789.

It is an arithmetic number, because the mean of its divisors is an integer number (330285060).

Almost surely, 210400131144 is an apocalyptic number.

It is an amenable number.

10400131144 is an abundant number, since it is smaller than the sum of its proper divisors (10738112696).

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

10400131144 is a wasteful number, since it uses less digits than its factorization.

10400131144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10400131144 its reverse (44113100401), we get a palindrome (54513231545).

The spelling of 10400131144 in words is "ten billion, four hundred million, one hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 367 521 523 734 1042 1046 1468 2084 2092 2936 4168 4184 4771 6773 6799 9542 13546 13598 19084 27092 27196 38168 54184 54392 191207 191941 272483 382414 383882 544966 764828 767764 1089932 1529656 1535528 2179864 2485691 2495233 3542279 4971382 4990466 7084558 9942764 9980932 14169116 19885528 19961864 28338232 100001261 200002522 400005044 800010088 1300016393 2600032786 5200065572 10400131144