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14083481376 = 253248900977
BaseRepresentation
bin11010001110111000…
…01101111100100000
31100100111112222111100
431013130031330200
5212320332401001
610245253514400
71006000421316
oct150734157440
940314488440
1014083481376
115a77838008
122890642a00
1314359baa43
149786080b6
15576623586
hex34770df20

14083481376 has 36 divisors (see below), whose sum is σ = 40049900982. Its totient is φ = 4694493696.

The previous prime is 14083481351. The next prime is 14083481413. The reversal of 14083481376 is 67318438041.

14083481376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7371939600 + 6711541776 = 85860^2 + 81924^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24450201 + ... + 24450776.

Almost surely, 214083481376 is an apocalyptic number.

14083481376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14083481376 is an abundant number, since it is smaller than the sum of its proper divisors (25966419606).

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

14083481376 is a wasteful number, since it uses less digits than its factorization.

14083481376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48900993 (or 48900982 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 14083481376 in words is "fourteen billion, eighty-three million, four hundred eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 48900977 97801954 146702931 195603908 293405862 391207816 440108793 586811724 782415632 880217586 1173623448 1564831264 1760435172 2347246896 3520870344 4694493792 7041740688 14083481376