Base | Representation |
---|---|
bin | 1110001100101011001… |
… | …0011100000000000000 |
3 | 212022121020020120110000 |
4 | 3203022302130000000 |
5 | 12444022104404341 |
6 | 304015552240000 |
7 | 23423401042500 |
oct | 3431262340000 |
9 | 768536216400 |
10 | 243920388096 |
11 | 9449a777900 |
12 | 3b334540000 |
13 | 1a00366a5b8 |
14 | bb3d1dba00 |
15 | 65292078b6 |
hex | 38cac9c000 |
243920388096 has 1350 divisors, whose sum is σ = 961830459744. Its totient is φ = 61312204800.
The previous prime is 243920388031. The next prime is 243920388109. The reversal of 243920388096 is 690883029342.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 7868399601 + ... + 7868399631.
Almost surely, 2243920388096 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 243920388096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480915229872).
243920388096 is an abundant number, since it is smaller than the sum of its proper divisors (717910071648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
243920388096 is an equidigital number, since it uses as much as digits as its factorization.
243920388096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 107 (or 54 counting only the distinct ones).
The product of its (nonzero) digits is 4478976, while the sum is 54.
The spelling of 243920388096 in words is "two hundred forty-three billion, nine hundred twenty million, three hundred eighty-eight thousand, ninety-six".
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