Base | Representation |
---|---|
bin | 1101111000000100110… |
… | …0011111000011000100 |
3 | 211210022212020002111010 |
4 | 3132001030133003010 |
5 | 12401211012010134 |
6 | 301303140442220 |
7 | 23136354546150 |
oct | 3360114370304 |
9 | 753285202433 |
10 | 238390735044 |
11 | 9211239a700 |
12 | 3a2506a9370 |
13 | 19631b73847 |
14 | b776a66060 |
15 | 6303a2bce9 |
hex | 378131f0c4 |
238390735044 has 144 divisors (see below), whose sum is σ = 701284970624. Its totient is φ = 61695406080.
The previous prime is 238390734961. The next prime is 238390735049. The reversal of 238390735044 is 440537093832.
238390735044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2383907350443 (a number of 35 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 238390734984 and 238390735002.
It is not an unprimeable number, because it can be changed into a prime (238390735049) 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 47 ways as a sum of consecutive naturals, for example, 2773092 + ... + 2857764.
Almost surely, 2238390735044 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 238390735044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350642485312).
238390735044 is an abundant number, since it is smaller than the sum of its proper divisors (462894235580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
238390735044 is a wasteful number, since it uses less digits than its factorization.
238390735044 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 84986 (or 84973 counting only the distinct ones).
The product of its (nonzero) digits is 2177280, while the sum is 48.
The spelling of 238390735044 in words is "two hundred thirty-eight billion, three hundred ninety million, seven hundred thirty-five thousand, forty-four".
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