Base | Representation |
---|---|
bin | 1110000110110011011… |
… | …1111110110111000000 |
3 | 212011112102110112222200 |
4 | 3201230313332313000 |
5 | 12432310231031141 |
6 | 303155345433200 |
7 | 23336346445500 |
oct | 3415467766700 |
9 | 764472415880 |
10 | 242344783296 |
11 | 93861348680 |
12 | 3ab7493b800 |
13 | 19b120c6675 |
14 | ba2dc57a00 |
15 | 6485c26ab6 |
hex | 386cdfedc0 |
242344783296 has 1512 divisors, whose sum is σ = 974892808656. Its totient is φ = 56853135360.
The previous prime is 242344783283. The next prime is 242344783321. The reversal of 242344783296 is 692387443242.
242344783296 is a `hidden beast` number, since 2 + 4 + 2 + 344 + 7 + 8 + 3 + 296 = 666.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3319791516 + ... + 3319791588.
Almost surely, 2242344783296 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 242344783296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487446404328).
242344783296 is an abundant number, since it is smaller than the sum of its proper divisors (732548025360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242344783296 is a wasteful number, since it uses less digits than its factorization.
242344783296 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 187 (or 150 counting only the distinct ones).
The product of its digits is 13934592, while the sum is 54.
The spelling of 242344783296 in words is "two hundred forty-two billion, three hundred forty-four million, seven hundred eighty-three thousand, two hundred ninety-six".
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