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10400133044 = 22717123117749
BaseRepresentation
bin10011010111110010…
…10110111110110100
3222211210200111110202
421223321112332310
5132244413224134
64435554540032
7515503446410
oct115371267664
928753614422
1010400133044
114457670984
122022b97618
13c998774a2
1470935dd40
1540d09ad7e
hex26be56fb4

10400133044 has 48 divisors (see below), whose sum is σ = 22042944000. Its totient is φ = 4191367680.

The previous prime is 10400133041. The next prime is 10400133047. The reversal of 10400133044 is 44033100401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10400133041) and next prime (10400133047).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400133041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577082 + ... + 594830.

It is an arithmetic number, because the mean of its divisors is an integer number (459228000).

Almost surely, 210400133044 is an apocalyptic number.

10400133044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10400133044 is an abundant number, since it is smaller than the sum of its proper divisors (11642810956).

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

10400133044 is a wasteful number, since it uses less digits than its factorization.

10400133044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19008 (or 19006 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10400133044 its reverse (44033100401), we get a palindrome (54433233445).

The spelling of 10400133044 in words is "ten billion, four hundred million, one hundred thirty-three thousand, forty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 1231 2462 4924 8617 17234 17749 20927 34468 35498 41854 70996 83708 124243 146489 248486 292978 301733 496972 585956 603466 1206932 2112131 4224262 8448524 21849019 43698038 87396076 152943133 305886266 371433323 611772532 742866646 1485733292 2600033261 5200066522 10400133044