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1314186944 = 2672933453
BaseRepresentation
bin100111001010100…
…1110011011000000
310101120212121120112
41032111032123000
510142412440234
6334223330452
744365255550
oct11625163300
93346777515
101314186944
11614908114
12308150a28
1317c364515
14c6775160
157a593ace
hex4e54e6c0

1314186944 has 28 divisors (see below), whose sum is σ = 2980389264. Its totient is φ = 563222784.

The previous prime is 1314186931. The next prime is 1314186959. The reversal of 1314186944 is 4496814131.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-3 number, since 3×13141869443 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1466279 + ... + 1467174.

Almost surely, 21314186944 is an apocalyptic number.

1314186944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1314186944 is an abundant number, since it is smaller than the sum of its proper divisors (1666202320).

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

1314186944 is an equidigital number, since it uses as much as digits as its factorization.

1314186944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933472 (or 2933462 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 1314186944 is about 36251.7164283293. The cubic root of 1314186944 is about 1095.3486637371.

The spelling of 1314186944 in words is "one billion, three hundred fourteen million, one hundred eighty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 2933453 5866906 11733812 20534171 23467624 41068342 46935248 82136684 93870496 164273368 187740992 328546736 657093472 1314186944