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403134014112 = 25317276789273
BaseRepresentation
bin1011101110111001010…
…10001110001010100000
31102112120002202210010120
411313130222032022200
523101104301422422
6505110333000240
741061015403254
oct5673452161240
91375502683116
10403134014112
11145a71706605
1266168923080
132c027a1546b
14157244d2264
15a746b1045c
hex5ddca8e2a0

403134014112 has 96 divisors (see below), whose sum is σ = 1120892919552. Its totient is φ = 126426292224.

The previous prime is 403134014093. The next prime is 403134014177. The reversal of 403134014112 is 211410431304.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4471108 + ... + 4560380.

It is an arithmetic number, because the mean of its divisors is an integer number (11675967912).

Almost surely, 2403134014112 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 403134014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560446459776).

403134014112 is an abundant number, since it is smaller than the sum of its proper divisors (717758905440).

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

403134014112 is a wasteful number, since it uses less digits than its factorization.

403134014112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92070 (or 92062 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 403134014112 its reverse (211410431304), we get a palindrome (614544445416).

The spelling of 403134014112 in words is "four hundred three billion, one hundred thirty-four million, fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 2767 5534 8301 11068 16602 22136 33204 44272 47039 66408 88544 89273 94078 132816 141117 178546 188156 265632 267819 282234 357092 376312 535638 564468 714184 752624 1071276 1128936 1428368 1505248 1517641 2142552 2257872 2856736 3035282 4285104 4515744 4552923 6070564 8570208 9105846 12141128 18211692 24282256 36423384 48564512 72846768 145693536 247018391 494036782 741055173 988073564 1482110346 1976147128 2964220692 3952294256 4199312647 5928441384 7904588512 8398625294 11856882768 12597937941 16797250588 23713765536 25195875882 33594501176 50391751764 67189002352 100783503528 134378004704 201567007056 403134014112