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104400667344 = 24373281106031
BaseRepresentation
bin110000100111011000…
…0111100001011010000
3100222110212021101222010
41201032300330023100
53202303032323334
6115543324342520
710354101013311
oct1411660741320
9328425241863
10104400667344
1140304500666
12182976a4a40
139aca44740c
1450a56b0608
152ab07560e9
hex184ec3c2d0

104400667344 has 80 divisors (see below), whose sum is σ = 274371796224. Its totient is φ = 34201036800.

The previous prime is 104400667321. The next prime is 104400667361. The reversal of 104400667344 is 443766004401.

It is a congruent number.

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, 931609 + ... + 1037639.

Almost surely, 2104400667344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104400667344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137185898112).

104400667344 is an abundant number, since it is smaller than the sum of its proper divisors (169971128880).

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

104400667344 is a wasteful number, since it uses less digits than its factorization.

104400667344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106396 (or 106390 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 104400667344 in words is "one hundred four billion, four hundred million, six hundred sixty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 281 292 438 562 584 843 876 1124 1168 1686 1752 2248 3372 3504 4496 6744 13488 20513 41026 61539 82052 106031 123078 164104 212062 246156 318093 328208 424124 492312 636186 848248 984624 1272372 1696496 2544744 5089488 7740263 15480526 23220789 29794711 30961052 46441578 59589422 61922104 89384133 92883156 119178844 123844208 178768266 185766312 238357688 357536532 371532624 476715376 715073064 1430146128 2175013903 4350027806 6525041709 8700055612 13050083418 17400111224 26100166836 34800222448 52200333672 104400667344