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139281721344 = 2113517101163
BaseRepresentation
bin1000000110110111010…
…1100110100000000000
3111022111210010112200000
42001231311212200000
54240222110040334
6143552442400000
713030350045303
oct2015565464000
9438453115600
10139281721344
115408399a817
1222bb1200000
1310198b22b3c
146a54096b3a
153952b3d299
hex206dd66800

139281721344 has 576 divisors, whose sum is σ = 448819600320. Its totient is φ = 42998169600.

The previous prime is 139281721301. The next prime is 139281721349. The reversal of 139281721344 is 443127182931.

139281721344 is a `hidden beast` number, since 1 + 3 + 9 + 281 + 7 + 21 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 139281721344.

It is not an unprimeable number, because it can be changed into a prime (139281721349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 854489007 + ... + 854489169.

It is an arithmetic number, because the mean of its divisors is an integer number (779200695).

Almost surely, 2139281721344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139281721344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224409800160).

139281721344 is an abundant number, since it is smaller than the sum of its proper divisors (309537878976).

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

139281721344 is a wasteful number, since it uses less digits than its factorization.

139281721344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 286 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 139281721344 in words is "one hundred thirty-nine billion, two hundred eighty-one million, seven hundred twenty-one thousand, three hundred forty-four".