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139723702272 = 215337211293
BaseRepresentation
bin1000001000100000101…
…1101000000000000000
3111100122120210111112000
42002020023220000000
54242123231433042
6144104351504000
713044324605400
oct2021013500000
9440576714460
10139723702272
1154290429610
12230b5228000
131023957280b
146a96a68800
15397b84574c
hex20882e8000

139723702272 has 768 divisors, whose sum is σ = 527153054400. Its totient is φ = 36168007680.

The previous prime is 139723702229. The next prime is 139723702289. The reversal of 139723702272 is 272207327931.

It is a happy number.

139723702272 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 2 + 370 + 2 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476872558 + ... + 476872850.

Almost surely, 2139723702272 is an apocalyptic number.

139723702272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139723702272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263576527200).

139723702272 is an abundant number, since it is smaller than the sum of its proper divisors (387429352128).

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

139723702272 is an equidigital number, since it uses as much as digits as its factorization.

139723702272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 139723702272 in words is "one hundred thirty-nine billion, seven hundred twenty-three million, seven hundred two thousand, two hundred seventy-two".