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12314423888928 = 253373165681131
BaseRepresentation
bin1011001100110010110011…
…0111001000110000100000
31121121020200101002121102000
42303030230313020300200
53103224420003421203
642105100201124000
72410454621662230
oct263145467106040
947536611077360
1012314423888928
113a18577281367
12146a74b789600
136b43258b41c5
14308042619cc0
151654d6a444a3
hexb332cdc8c20

12314423888928 has 192 divisors, whose sum is σ = 42372211875840. Its totient is φ = 3404909779200.

The previous prime is 12314423888863. The next prime is 12314423888933. The reversal of 12314423888928 is 82988832441321.

12314423888928 is a `hidden beast` number, since 1 + 2 + 31 + 4 + 423 + 88 + 89 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32653078 + ... + 33028053.

It is an arithmetic number, because the mean of its divisors is an integer number (220688603520).

Almost surely, 212314423888928 is an apocalyptic number.

12314423888928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12314423888928 is an abundant number, since it is smaller than the sum of its proper divisors (30057787986912).

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

12314423888928 is a wasteful number, since it uses less digits than its factorization.

12314423888928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65681188 (or 65681174 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 63.

The spelling of 12314423888928 in words is "twelve trillion, three hundred fourteen billion, four hundred twenty-three million, eight hundred eighty-eight thousand, nine hundred twenty-eight".