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1314078168 = 2331319492161
BaseRepresentation
bin100111001010011…
…0011110111011000
310101120200002100210
41032110303313120
510142401000133
6334221131120
744364323454
oct11624636730
93346602323
101314078168
11614843417
123080b9aa0
1317c326b60
14c6747664
157a571763
hex4e533dd8

1314078168 has 64 divisors (see below), whose sum is σ = 3541356000. Its totient is φ = 403937280.

The previous prime is 1314078163. The next prime is 1314078173. The reversal of 1314078168 is 8618704131.

It is an interprime number because it is at equal distance from previous prime (1314078163) and next prime (1314078173).

It is a super-2 number, since 2×13140781682 = 3453602863228472448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314078163) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 607008 + ... + 609168.

Almost surely, 21314078168 is an apocalyptic number.

It is an amenable number.

1314078168 is an abundant number, since it is smaller than the sum of its proper divisors (2227277832).

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

1314078168 is a wasteful number, since it uses less digits than its factorization.

1314078168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 1314078168 is about 36250.2161097006. The cubic root of 1314078168 is about 1095.3184420262.

The spelling of 1314078168 in words is "one billion, three hundred fourteen million, seventy-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 1949 2161 3898 4322 5847 6483 7796 8644 11694 12966 15592 17288 23388 25337 25932 28093 46776 50674 51864 56186 76011 84279 101348 112372 152022 168558 202696 224744 304044 337116 608088 674232 4211789 8423578 12635367 16847156 25270734 33694312 50541468 54753257 101082936 109506514 164259771 219013028 328519542 438026056 657039084 1314078168