Base | Representation |
---|---|
bin | 110100110100110000111001… |
… | …111101100110000100000000 |
3 | 1010110120222201221112201120120 |
4 | 310310300321331212010000 |
5 | 220422400223404020412 |
6 | 2142040155134540240 |
7 | 66635610544101024 |
oct | 6464607175460400 |
9 | 1113528657481516 |
10 | 232324343423232 |
11 | 680312231a7685 |
12 | 22082020667680 |
13 | 9c8312627cc28 |
14 | 41527b5a76384 |
15 | 1bcd451730b8c |
hex | d34c39f66100 |
232324343423232 has 144 divisors (see below), whose sum is σ = 635111343737472. Its totient is φ = 75339134484480.
The previous prime is 232324343423209. The next prime is 232324343423239.
232324343423232 is nontrivially palindromic in base 10.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (232324343423239) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231572932 + ... + 232574012.
Almost surely, 2232324343423232 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 232324343423232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317555671868736).
232324343423232 is an abundant number, since it is smaller than the sum of its proper divisors (402787000314240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232324343423232 is a wasteful number, since it uses less digits than its factorization.
232324343423232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1009304 (or 1009290 counting only the distinct ones).
The product of its digits is 2985984, while the sum is 42.
The spelling of 232324343423232 in words is "two hundred thirty-two trillion, three hundred twenty-four billion, three hundred forty-three million, four hundred twenty-three thousand, two hundred thirty-two".
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