Base | Representation |
---|---|
bin | 11111100111111100000010… |
… | …100100010101000000000000 |
3 | 200020110022000221100111111000 |
4 | 133213330002210111000000 |
5 | 121212222432032232000 |
6 | 1211450143204052000 |
7 | 41203325260333140 |
oct | 3747740244250000 |
9 | 606408027314430 |
10 | 139083969024000 |
11 | 403531a8669960 |
12 | 137234a3994000 |
13 | 5c7b73c9440a0 |
14 | 264b9b2bcc920 |
15 | 1112d5e8eb000 |
hex | 7e7f02915000 |
139083969024000 has 9984 divisors, whose sum is σ = 759759101337600. Its totient is φ = 24174526464000.
The previous prime is 139083969023971. The next prime is 139083969024001. The reversal of 139083969024000 is 420969380931.
139083969024000 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 8 + 396 + 9 + 0 + 240 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (9984).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (139083969024001) by changing a digit.
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 767 ways as a sum of consecutive naturals, for example, 6047129087989 + ... + 6047129088011.
It is an arithmetic number, because the mean of its divisors is an integer number (76097666400).
Almost surely, 2139083969024000 is an apocalyptic number.
139083969024000 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 139083969024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379879550668800).
139083969024000 is an abundant number, since it is smaller than the sum of its proper divisors (620675132313600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
139083969024000 is a wasteful number, since it uses less digits than its factorization.
139083969024000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 144 (or 83 counting only the distinct ones).
The product of its (nonzero) digits is 2519424, while the sum is 54.
The spelling of 139083969024000 in words is "one hundred thirty-nine trillion, eighty-three billion, nine hundred sixty-nine million, twenty-four thousand".
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