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139616421120 = 2834511231359
BaseRepresentation
bin1000001000000111001…
…0011000010100000000
3111100101002221001110000
42002001302120110000
54241413300433440
6144050000240000
713041552666351
oct2020162302400
9440332831400
10139616421120
1154235914700
1223085310000
131022027cb47
146a866ddd28
153972203730
hex2081c98500

139616421120 has 1080 divisors, whose sum is σ = 568409909760. Its totient is φ = 32663347200.

The previous prime is 139616421047. The next prime is 139616421221. The reversal of 139616421120 is 21124616931.

It is a happy number.

139616421120 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 1 + 642 + 1 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 388903501 + ... + 388903859.

It is an arithmetic number, because the mean of its divisors is an integer number (526305472).

Almost surely, 2139616421120 is an apocalyptic number.

139616421120 is a gapful number since it is divisible by the number (10) 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 139616421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284204954880).

139616421120 is an abundant number, since it is smaller than the sum of its proper divisors (428793488640).

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

139616421120 is a wasteful number, since it uses less digits than its factorization.

139616421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 139616421120 in words is "one hundred thirty-nine billion, six hundred sixteen million, four hundred twenty-one thousand, one hundred twenty".