| Base | Representation |
|---|---|
| bin | 110100100000101011110001… |
| … | …111110110101101010000000 |
| 3 | 1010021201001222220001021120000 |
| 4 | 310200223301332311222000 |
| 5 | 220232243214012201210 |
| 6 | 2135102225525320000 |
| 7 | 66434120536343334 |
| oct | 6440536176655200 |
| 9 | 1107631886037500 |
| 10 | 230944451287680 |
| 11 | 67649aa0051589 |
| 12 | 21a9a6b9566000 |
| 13 | 9bb2c784b9000 |
| 14 | 4105ab1bcd7c4 |
| 15 | 1ba75dda46ac0 |
| hex | d20af1fb5a80 |
230944451287680 has 2560 divisors, whose sum is σ = 930567052800000. Its totient is φ = 54520365219840.
The previous prime is 230944451287663. The next prime is 230944451287681. The reversal of 230944451287680 is 86782154449032.
230944451287680 is a `hidden beast` number, since 2 + 3 + 0 + 9 + 4 + 44 + 512 + 8 + 76 + 8 + 0 = 666.
It is not an unprimeable number, because it can be changed into a prime (230944451287681) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 526069364901 + ... + 526069365339.
It is an arithmetic number, because the mean of its divisors is an integer number (363502755000).
It is a 2-persistent number, because it is pandigital, and so is 2⋅230944451287680 = 461888902575360, but 3⋅230944451287680 = 692833353863040 is not.
Almost surely, 2230944451287680 is an apocalyptic number.
230944451287680 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 230944451287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465283526400000).
230944451287680 is an abundant number, since it is smaller than the sum of its proper divisors (699622601512320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230944451287680 is a wasteful number, since it uses less digits than its factorization.
230944451287680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 689 (or 642 counting only the distinct ones).
The product of its (nonzero) digits is 92897280, while the sum is 63.
The spelling of 230944451287680 in words is "two hundred thirty trillion, nine hundred forty-four billion, four hundred fifty-one million, two hundred eighty-seven thousand, six hundred eighty".
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