Base | Representation |
---|---|
bin | 110111010011011011111000… |
… | …100001000110111000000000 |
3 | 1011220012101102012001020221000 |
4 | 313103123320201012320000 |
5 | 223340022241323312320 |
6 | 2221145251052332000 |
7 | 102142440505502100 |
oct | 6723337041067000 |
9 | 1156171365036830 |
10 | 243228167400960 |
11 | 70555539609565 |
12 | 233432b9174000 |
13 | a5944191a5761 |
14 | 440c43dda1200 |
15 | 1d1bdc9755c90 |
hex | dd36f8846e00 |
243228167400960 has 7680 divisors, whose sum is σ = 1176248372428800. Its totient is φ = 47194790952960.
The previous prime is 243228167400949. The next prime is 243228167401027. The reversal of 243228167400960 is 69004761822342.
It is a happy number.
243228167400960 is a `hidden beast` number, since 2 + 4 + 3 + 228 + 1 + 6 + 7 + 400 + 9 + 6 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (7680).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 243228167400897 and 243228167400906.
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, 1915182420417 + ... + 1915182420543.
It is an arithmetic number, because the mean of its divisors is an integer number (153157340160).
Almost surely, 2243228167400960 is an apocalyptic number.
243228167400960 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 243228167400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588124186214400).
243228167400960 is an abundant number, since it is smaller than the sum of its proper divisors (933020205027840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
243228167400960 is a wasteful number, since it uses less digits than its factorization.
243228167400960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 287 (or 258 counting only the distinct ones).
The product of its (nonzero) digits is 6967296, while the sum is 54.
The spelling of 243228167400960 in words is "two hundred forty-three trillion, two hundred twenty-eight billion, one hundred sixty-seven million, four hundred thousand, nine hundred sixty".
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