| Base | Representation |
|---|---|
| bin | 11111100101011100111111… |
| … | …011010100011000000100000 |
| 3 | 200012211222020010201001121200 |
| 4 | 133211130333122203000200 |
| 5 | 121201423203420201042 |
| 6 | 1211235501122121200 |
| 7 | 41155101242522160 |
| oct | 3745347732430040 |
| 9 | 605758203631550 |
| 10 | 138913191178272 |
| 11 | 40297831a62785 |
| 12 | 136b63827b0200 |
| 13 | 5c685c47c2c74 |
| 14 | 2643611b165a0 |
| 15 | 110d6b6b52c4c |
| hex | 7e573f6a3020 |
138913191178272 has 288 divisors, whose sum is σ = 465717802402944. Its totient is φ = 38456164454400.
The previous prime is 138913191178247. The next prime is 138913191178343. The reversal of 138913191178272 is 272871191319831.
138913191178272 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 1 + 3 + 191 + 178 + 272 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×1389131911782722 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a nude number because it is divisible by every one of its digits.
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, 190429 + ... + 16669212.
It is an arithmetic number, because the mean of its divisors is an integer number (1617075702788).
Almost surely, 2138913191178272 is an apocalyptic number.
138913191178272 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 138913191178272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232858901201472).
138913191178272 is an abundant number, since it is smaller than the sum of its proper divisors (326804611224672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138913191178272 is a wasteful number, since it uses less digits than its factorization.
138913191178272 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16859792 (or 16859781 counting only the distinct ones).
The product of its digits is 9144576, while the sum is 63.
The spelling of 138913191178272 in words is "one hundred thirty-eight trillion, nine hundred thirteen billion, one hundred ninety-one million, one hundred seventy-eight thousand, two hundred seventy-two".
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