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12311142432 = 253128241067
BaseRepresentation
bin10110111011100110…
…10010000000100000
31011202222120211112020
423131303102000200
5200203123024212
65353342301440
7614036661351
oct133563220040
934688524466
1012311142432
115248356586
122476b87880
131212764184
1484b091d28
154c0c30d8c
hex2ddcd2020

12311142432 has 24 divisors (see below), whose sum is σ = 32316749136. Its totient is φ = 4103714112.

The previous prime is 12311142407. The next prime is 12311142461. The reversal of 12311142432 is 23424111321.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits.

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, 64120438 + ... + 64120629.

It is an arithmetic number, because the mean of its divisors is an integer number (1346531214).

Almost surely, 212311142432 is an apocalyptic number.

12311142432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12311142432 is an abundant number, since it is smaller than the sum of its proper divisors (20005606704).

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

12311142432 is a wasteful number, since it uses less digits than its factorization.

12311142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128241080 (or 128241072 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 12311142432 its reverse (23424111321), we get a palindrome (35735253753).

The spelling of 12311142432 in words is "twelve billion, three hundred eleven million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 128241067 256482134 384723201 512964268 769446402 1025928536 1538892804 2051857072 3077785608 4103714144 6155571216 12311142432