| Base | Representation |
|---|---|
| bin | 10000011111001… |
| … | …11100000100000 |
| 3 | 100122020222000000 |
| 4 | 20033213200200 |
| 5 | 240401433322 |
| 6 | 21420300000 |
| 7 | 3266426100 |
| oct | 1017474040 |
| 9 | 318228000 |
| 10 | 138311712 |
| 11 | 71089700 |
| 12 | 3a3a1600 |
| 13 | 22868a66 |
| 14 | 14525200 |
| 15 | c2213ac |
| hex | 83e7820 |
138311712 has 378 divisors, whose sum is σ = 522020079. Its totient is φ = 35925120.
The previous prime is 138311687. The next prime is 138311839. The reversal of 138311712 is 217113831.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in only one way, i.e., 69155856 + 69155856 = 8316^2 + 8316^2 .
It is a tau number, because it is divible by the number of its divisors (378).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=8316.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 12573787 + ... + 12573797.
Almost surely, 2138311712 is an apocalyptic number.
138311712 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 138311712
138311712 is an abundant number, since it is smaller than the sum of its proper divisors (383708367).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138311712 is an equidigital number, since it uses as much as digits as its factorization.
138311712 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 64 (or 23 counting only the distinct ones).
The product of its digits is 1008, while the sum is 27.
The square root of 138311712 is about 11760.5999846947. The cubic root of 138311712 is about 517.1537191914.
The spelling of 138311712 in words is "one hundred thirty-eight million, three hundred eleven thousand, seven hundred twelve".
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