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1314138852 = 2232137513739
BaseRepresentation
bin100111001010100…
…0010101011100100
310101120210011121100
41032111002223210
510142404420402
6334222320100
744364665415
oct11625025344
93346704540
101314138852
11614884a74
12308129030
1317c348670
14c676180c
157a58471c
hex4e542ae4

1314138852 has 72 divisors (see below), whose sum is σ = 3583099520. Its totient is φ = 403704000.

The previous prime is 1314138841. The next prime is 1314138853. The reversal of 1314138852 is 2588314131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1314138853) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349599 + ... + 353337.

Almost surely, 21314138852 is an apocalyptic number.

1314138852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314138852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791549760).

1314138852 is an abundant number, since it is smaller than the sum of its proper divisors (2268960668).

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

1314138852 is a wasteful number, since it uses less digits than its factorization.

1314138852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4513 (or 4508 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 1314138852 is about 36251.0531157372. The cubic root of 1314138852 is about 1095.3353023324.

The spelling of 1314138852 in words is "one billion, three hundred fourteen million, one hundred thirty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 751 1502 2253 3004 3739 4506 6759 7478 9012 9763 11217 13518 14956 19526 22434 27036 29289 33651 39052 44868 48607 58578 67302 87867 97214 117156 134604 145821 175734 194428 291642 351468 437463 583284 874926 1749852 2807989 5615978 8423967 11231956 16847934 25271901 33695868 36503857 50543802 73007714 101087604 109511571 146015428 219023142 328534713 438046284 657069426 1314138852