| Base | Representation |
|---|---|
| bin | 110100011010110011100010… |
| … | …001011011000000000000000 |
| 3 | 1010020021110012222200111100000 |
| 4 | 310122303202023120000000 |
| 5 | 220204133330024302200 |
| 6 | 2134152454101200000 |
| 7 | 66362666331354132 |
| oct | 6432634213300000 |
| 9 | 1106243188614300 |
| 10 | 230540459212800 |
| 11 | 67503729059250 |
| 12 | 21a34351400000 |
| 13 | 9b83b44aa25a9 |
| 14 | 40d030977b052 |
| 15 | 1b9bd46941300 |
| hex | d1ace22d8000 |
230540459212800 has 2304 divisors, whose sum is σ = 942769858867200. Its totient is φ = 55381642444800.
The previous prime is 230540459212781. The next prime is 230540459212807. The reversal of 230540459212800 is 8212954045032.
230540459212800 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 40 + 4 + 592 + 12 + 8 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (2304).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (230540459212807) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 278094642786 + ... + 278094643614.
It is an arithmetic number, because the mean of its divisors is an integer number (409188306800).
Almost surely, 2230540459212800 is an apocalyptic number.
230540459212800 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 230540459212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471384929433600).
230540459212800 is an abundant number, since it is smaller than the sum of its proper divisors (712229399654400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230540459212800 is an equidigital number, since it uses as much as digits as its factorization.
230540459212800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1022 (or 977 counting only the distinct ones).
The product of its (nonzero) digits is 691200, while the sum is 45.
The spelling of 230540459212800 in words is "two hundred thirty trillion, five hundred forty billion, four hundred fifty-nine million, two hundred twelve thousand, eight hundred".
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