Base | Representation |
---|---|
bin | 100111011110001111… |
… | …001010100000000000 |
3 | 11001101202111210120000 |
4 | 213132033022200000 |
5 | 1143300101112114 |
6 | 31245351320000 |
7 | 3030203310120 |
oct | 473617124000 |
9 | 131352453500 |
10 | 42383222784 |
11 | 16a7a251651 |
12 | 826a080000 |
13 | 3cc5a45966 |
14 | 20a0d00c80 |
15 | 1180d46e09 |
hex | 9de3ca800 |
42383222784 has 960 divisors, whose sum is σ = 162680918400. Its totient is φ = 10701766656.
The previous prime is 42383222779. The next prime is 42383222809. The reversal of 42383222784 is 48722238324.
42383222784 is a `hidden beast` number, since 42 + 383 + 2 + 227 + 8 + 4 = 666.
It is a super-3 number, since 3×423832227843 (a number of 33 digits) contains 333 as substring.
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 79 ways as a sum of consecutive naturals, for example, 375072712 + ... + 375072824.
It is an arithmetic number, because the mean of its divisors is an integer number (169459290).
Almost surely, 242383222784 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 42383222784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81340459200).
42383222784 is an abundant number, since it is smaller than the sum of its proper divisors (120297695616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42383222784 is a wasteful number, since it uses less digits than its factorization.
42383222784 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 190 (or 161 counting only the distinct ones).
The product of its digits is 1032192, while the sum is 45.
The spelling of 42383222784 in words is "forty-two billion, three hundred eighty-three million, two hundred twenty-two thousand, seven hundred eighty-four".
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