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10400212344 = 2337114894099
BaseRepresentation
bin10011010111110011…
…01010010101111000
3222211210211112020210
421223321222111320
5132244423243334
64440000351120
7515504226534
oct115371522570
928753745223
1010400212344
114457715515
1220230154a0
13c998a4602
14709380bc4
1540d0b45e9
hex26be6a578

10400212344 has 64 divisors (see below), whose sum is σ = 26390880000. Its totient is φ = 3414781440.

The previous prime is 10400212321. The next prime is 10400212363. The reversal of 10400212344 is 44321200401.

It is a self number, because there is not a number n which added to its sum of digits gives 10400212344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2535207 + ... + 2539305.

It is an arithmetic number, because the mean of its divisors is an integer number (412357500).

Almost surely, 210400212344 is an apocalyptic number.

It is an amenable number.

10400212344 is an abundant number, since it is smaller than the sum of its proper divisors (15990667656).

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

10400212344 is a wasteful number, since it uses less digits than its factorization.

10400212344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5668 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10400212344 its reverse (44321200401), we get a palindrome (54721412745).

The spelling of 10400212344 in words is "ten billion, four hundred million, two hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1489 1704 2978 4099 4467 5956 8198 8934 11912 12297 16396 17868 24594 32792 35736 49188 98376 105719 211438 291029 317157 422876 582058 634314 845752 873087 1164116 1268628 1746174 2328232 2537256 3492348 6103411 6984696 12206822 18310233 24413644 36620466 48827288 73240932 146481864 433342181 866684362 1300026543 1733368724 2600053086 3466737448 5200106172 10400212344