| Base | Representation |
|---|---|
| bin | 110100101111100101001010… |
| … | …100111100111011100000000 |
| 3 | 1010102022221022120001220000000 |
| 4 | 310233211022213213130000 |
| 5 | 220401031222442320200 |
| 6 | 2141204405340000000 |
| 7 | 66601100525003250 |
| oct | 6457451247473400 |
| 9 | 1112287276056000 |
| 10 | 231968140588800 |
| 11 | 67a04154a68a90 |
| 12 | 22024b90b30000 |
| 13 | 9c5866a5a8395 |
| 14 | 413d4644b5960 |
| 15 | 1bc4054d7a300 |
| hex | d2f94a9e7700 |
231968140588800 has 6912 divisors, whose sum is σ = 1137746059591680. Its totient is φ = 45416816640000.
The previous prime is 231968140588763. The next prime is 231968140588817. The reversal of 231968140588800 is 8885041869132.
231968140588800 is a `hidden beast` number, since 2 + 3 + 1 + 9 + 6 + 8 + 1 + 40 + 588 + 8 + 0 + 0 = 666.
231968140588800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (6912).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1770749164735 + ... + 1770749164865.
It is an arithmetic number, because the mean of its divisors is an integer number (164604464640).
Almost surely, 2231968140588800 is an apocalyptic number.
231968140588800 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 231968140588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568873029795840).
231968140588800 is an abundant number, since it is smaller than the sum of its proper divisors (905777919002880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
231968140588800 is a wasteful number, since it uses less digits than its factorization.
231968140588800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 280 (or 243 counting only the distinct ones).
The product of its (nonzero) digits is 26542080, while the sum is 63.
The spelling of 231968140588800 in words is "two hundred thirty-one trillion, nine hundred sixty-eight billion, one hundred forty million, five hundred eighty-eight thousand, eight hundred".
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