| Base | Representation |
|---|---|
| bin | 11111011100001101101100… |
| … | …011100000000000000000000 |
| 3 | 200010121021102212201021000000 |
| 4 | 133130031230130000000000 |
| 5 | 121111022420042432310 |
| 6 | 1210032100424000000 |
| 7 | 41061163652316654 |
| oct | 3734155434000000 |
| 9 | 603537385637000 |
| 10 | 138278291374080 |
| 11 | 40072548633800 |
| 12 | 13613314000000 |
| 13 | 5c20782623760 |
| 14 | 26209c27a8a64 |
| 15 | 10ebe07e474c0 |
| hex | 7dc36c700000 |
138278291374080 has 3528 divisors, whose sum is σ = 614599259337504. Its totient is φ = 29598028922880.
The previous prime is 138278291374039. The next prime is 138278291374081. The reversal of 138278291374080 is 80473192872831.
138278291374080 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 78 + 29 + 137 + 408 + 0 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 138278291373999 and 138278291374017.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (138278291374081) by changing a digit.
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 167 ways as a sum of consecutive naturals, for example, 6012099624949 + ... + 6012099624971.
It is an arithmetic number, because the mean of its divisors is an integer number (174206139268).
Almost surely, 2138278291374080 is an apocalyptic number.
138278291374080 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 138278291374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307299629668752).
138278291374080 is an abundant number, since it is smaller than the sum of its proper divisors (476320967963424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138278291374080 is an frugal number, since it uses more digits than its factorization.
138278291374080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 121 (or 57 counting only the distinct ones).
The product of its (nonzero) digits is 32514048, while the sum is 63.
The spelling of 138278291374080 in words is "one hundred thirty-eight trillion, two hundred seventy-eight billion, two hundred ninety-one million, three hundred seventy-four thousand, eighty".
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