| Base | Representation |
|---|---|
| bin | 110100100000101101111000… |
| … | …101111111000000000000000 |
| 3 | 1010021201021211110112001200000 |
| 4 | 310200231320233320000000 |
| 5 | 220232312331321224110 |
| 6 | 2135103242134400000 |
| 7 | 66434230552500621 |
| oct | 6440557057700000 |
| 9 | 1107637743461600 |
| 10 | 230946712289280 |
| 11 | 6764aa50356549 |
| 12 | 21a9b02a800000 |
| 13 | 9bb3248a58490 |
| 14 | 4105c481c9a48 |
| 15 | 1ba76c22b31c0 |
| hex | d20b78bf8000 |
230946712289280 has 1536 divisors, whose sum is σ = 898342791091200. Its totient is φ = 56580240310272.
The previous prime is 230946712289243. The next prime is 230946712289299. The reversal of 230946712289280 is 82982217649032.
230946712289280 is a `hidden beast` number, since 2 + 3 + 0 + 9 + 4 + 6 + 71 + 2 + 289 + 280 = 666.
It is a tau number, because it is divible by the number of its divisors (1536).
It is a super-4 number, since 4×2309467122892804 (a number of 59 digits) contains 4444 as substring.
It is a congruent number.
It is an unprimeable number.
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 95 ways as a sum of consecutive naturals, for example, 123699362907 + ... + 123699364773.
It is an arithmetic number, because the mean of its divisors is an integer number (584858587950).
Almost surely, 2230946712289280 is an apocalyptic number.
230946712289280 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 230946712289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449171395545600).
230946712289280 is an abundant number, since it is smaller than the sum of its proper divisors (667396078801920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230946712289280 is an equidigital number, since it uses as much as digits as its factorization.
230946712289280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2169 (or 2129 counting only the distinct ones).
The product of its (nonzero) digits is 41803776, while the sum is 63.
The spelling of 230946712289280 in words is "two hundred thirty trillion, nine hundred forty-six billion, seven hundred twelve million, two hundred eighty-nine thousand, two hundred eighty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.080 sec. • engine limits •