| Base | Representation |
|---|---|
| bin | 1101110111110110000… |
| … | …1011100100011000000 |
| 3 | 211210011120021202212000 |
| 4 | 3131331201130203000 |
| 5 | 12401044223332320 |
| 6 | 301253100104000 |
| 7 | 23135006050230 |
| oct | 3357541344300 |
| 9 | 753146252760 |
| 10 | 238329120960 |
| 11 | 92090637077 |
| 12 | 3a233b35000 |
| 13 | 1962217ccc8 |
| 14 | b76c7c7cc0 |
| 15 | 62ed40ac90 |
| hex | 377d85c8c0 |
238329120960 has 896 divisors, whose sum is σ = 997488967680. Its totient is φ = 52420608000.
The previous prime is 238329120943. The next prime is 238329120961. The reversal of 238329120960 is 69021923832.
It is a happy number.
238329120960 is a `hidden beast` number, since 2 + 383 + 2 + 9 + 1 + 209 + 60 = 666.
238329120960 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2383291209602 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (238329120961) 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 127 ways as a sum of consecutive naturals, for example, 594336760 + ... + 594337160.
Almost surely, 2238329120960 is an apocalyptic number.
238329120960 is a gapful number since it is divisible by the number (20) 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 238329120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498744483840).
238329120960 is an abundant number, since it is smaller than the sum of its proper divisors (759159846720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
238329120960 is a wasteful number, since it uses less digits than its factorization.
238329120960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 782 (or 766 counting only the distinct ones).
The product of its (nonzero) digits is 279936, while the sum is 45.
The spelling of 238329120960 in words is "two hundred thirty-eight billion, three hundred twenty-nine million, one hundred twenty thousand, nine hundred sixty".
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