| Base | Representation |
|---|---|
| bin | 1000000101011101011… |
| … | …1101001100110010000 |
| 3 | 111021112111211110221200 |
| 4 | 2001113113221212100 |
| 5 | 4233434110132320 |
| 6 | 143451215151200 |
| 7 | 13015122033504 |
| oct | 2012727514620 |
| 9 | 437474743850 |
| 10 | 138904770960 |
| 11 | 53a0013837a |
| 12 | 22b06b15500 |
| 13 | 101389c1a87 |
| 14 | 6a19db2304 |
| 15 | 392e9ce290 |
| hex | 20575e9990 |
138904770960 has 240 divisors, whose sum is σ = 500184771840. Its totient is φ = 34420838400.
The previous prime is 138904770911. The next prime is 138904770971. The reversal of 138904770960 is 69077409831.
It is a happy number.
138904770960 is a `hidden beast` number, since 1 + 3 + 89 + 0 + 477 + 0 + 96 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 138904770897 and 138904770906.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 895135 + ... + 1038785.
It is an arithmetic number, because the mean of its divisors is an integer number (2084103216).
Almost surely, 2138904770960 is an apocalyptic number.
138904770960 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 138904770960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250092385920).
138904770960 is an abundant number, since it is smaller than the sum of its proper divisors (361280000880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138904770960 is a wasteful number, since it uses less digits than its factorization.
138904770960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 143766 (or 143757 counting only the distinct ones).
The product of its (nonzero) digits is 2286144, while the sum is 54.
The spelling of 138904770960 in words is "one hundred thirty-eight billion, nine hundred four million, seven hundred seventy thousand, nine hundred sixty".
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