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1314114304 = 2831165589
BaseRepresentation
bin100111001010011…
…1100101100000000
310101120201220221011
41032110330230000
510142403124204
6334222010304
744364534016
oct11624745400
93346656834
101314114304
11614868588
12308116994
1317c33a439
14c67568b6
157a57c304
hex4e53cb00

1314114304 has 36 divisors (see below), whose sum is σ = 2707727680. Its totient is φ = 635857920.

The previous prime is 1314114289. The next prime is 1314114341. The reversal of 1314114304 is 4034114131.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74859 + ... + 90730.

Almost surely, 21314114304 is an apocalyptic number.

It is an amenable number.

1314114304 is an abundant number, since it is smaller than the sum of its proper divisors (1393613376).

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

1314114304 is an equidigital number, since it uses as much as digits as its factorization.

1314114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165636 (or 165622 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1314114304 is about 36250.7145308889. The cubic root of 1314114304 is about 1095.3284820338.

Adding to 1314114304 its reverse (4034114131), we get a palindrome (5348228435).

The spelling of 1314114304 in words is "one billion, three hundred fourteen million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 992 1984 3968 7936 165589 331178 662356 1324712 2649424 5133259 5298848 10266518 10597696 20533036 21195392 41066072 42390784 82132144 164264288 328528576 657057152 1314114304