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13140351312 = 2431124887029
BaseRepresentation
bin11000011110011100…
…11101100101010000
31020220202220000021020
430033032131211100
5203402412220222
610011523155440
7643426100064
oct141716354520
936822800236
1013140351312
115633427480
122668815b80
1313154a2c0a
148c9261aa4
1551d92765c
hex30f39d950

13140351312 has 40 divisors (see below), whose sum is σ = 37031900640. Its totient is φ = 3981924480.

The previous prime is 13140351307. The next prime is 13140351313. The reversal of 13140351312 is 21315304131.

13140351312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140351313) 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 7 ways as a sum of consecutive naturals, for example, 12442987 + ... + 12444042.

It is an arithmetic number, because the mean of its divisors is an integer number (925797516).

Almost surely, 213140351312 is an apocalyptic number.

13140351312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13140351312 is an abundant number, since it is smaller than the sum of its proper divisors (23891549328).

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

13140351312 is a wasteful number, since it uses less digits than its factorization.

13140351312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24887051 (or 24887045 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 13140351312 its reverse (21315304131), we get a palindrome (34455655443).

The spelling of 13140351312 in words is "thirteen billion, one hundred forty million, three hundred fifty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 24887029 49774058 74661087 99548116 149322174 199096232 273757319 298644348 398192464 547514638 597288696 821271957 1095029276 1194577392 1642543914 2190058552 3285087828 4380117104 6570175656 13140351312