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1314057132 = 2232109133457
BaseRepresentation
bin100111001010010…
…1110101110101100
310101120122000111200
41032110232232230
510142344312012
6334220445500
744364205233
oct11624565654
93346560450
101314057132
11614829633
123080a9890
1317c31a3cb
14c673db1a
157a56a3dc
hex4e52ebac

1314057132 has 36 divisors (see below), whose sum is σ = 3324788376. Its totient is φ = 437604480.

The previous prime is 1314057103. The next prime is 1314057179. The reversal of 1314057132 is 2317504131.

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

It is a super-2 number, since 2×13140571322 = 3453492292320130848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1314057096 and 1314057105.

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 11 ways as a sum of consecutive naturals, for example, 22548 + ... + 56004.

Almost surely, 21314057132 is an apocalyptic number.

1314057132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1314057132 is an abundant number, since it is smaller than the sum of its proper divisors (2010731244).

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

1314057132 is a wasteful number, since it uses less digits than its factorization.

1314057132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34558 (or 34553 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1314057132 is about 36249.9259585451. The cubic root of 1314057132 is about 1095.3125973100.

The spelling of 1314057132 in words is "one billion, three hundred fourteen million, fifty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1091 2182 3273 4364 6546 9819 13092 19638 33457 39276 66914 100371 133828 200742 301113 401484 602226 1204452 36501587 73003174 109504761 146006348 219009522 328514283 438019044 657028566 1314057132