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13442120397 = 332931553789
BaseRepresentation
bin11001000010011011…
…00111101011001101
31021200210201110122000
430201031213223031
5210012140323042
610101503142513
7654052065246
oct144115475315
937623643560
1013442120397
1157787aa012
1227318a4a39
131362b6ccc4
14917375ccd
1553a18574c
hex321367acd

13442120397 has 32 divisors (see below), whose sum is σ = 21265536000. Its totient is φ = 8373274560.

The previous prime is 13442120359. The next prime is 13442120407. The reversal of 13442120397 is 79302124431.

It is a happy number.

13442120397 is a `hidden beast` number, since 1 + 3 + 442 + 1 + 203 + 9 + 7 = 666.

It is not a de Polignac number, because 13442120397 - 218 = 13441858253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13442120347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252622 + ... + 301167.

It is an arithmetic number, because the mean of its divisors is an integer number (664548000).

Almost surely, 213442120397 is an apocalyptic number.

It is an amenable number.

13442120397 is a deficient number, since it is larger than the sum of its proper divisors (7823415603).

13442120397 is a wasteful number, since it uses less digits than its factorization.

13442120397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553858 (or 553852 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13442120397 in words is "thirteen billion, four hundred forty-two million, one hundred twenty thousand, three hundred ninety-seven".

Divisors: 1 3 9 27 29 31 87 93 261 279 783 837 899 2697 8091 24273 553789 1661367 4984101 14952303 16059881 17167459 48179643 51502377 144538929 154507131 433616787 463521393 497856311 1493568933 4480706799 13442120397