Base | Representation |
---|---|
bin | 100111001110101000… |
… | …111001001101001000 |
3 | 11000201112002112121100 |
4 | 213032220321031020 |
5 | 1142231103012412 |
6 | 31203402341400 |
7 | 3020545054653 |
oct | 471650711510 |
9 | 130645075540 |
10 | 42121532232 |
11 | 1695556366a |
12 | 81b64ba860 |
13 | 3c8376c090 |
14 | 207826089a |
15 | 1167da3edc |
hex | 9cea39348 |
42121532232 has 96 divisors (see below), whose sum is σ = 123242890680. Its totient is φ = 12919495680.
The previous prime is 42121532221. The next prime is 42121532237. The reversal of 42121532232 is 23223512124.
42121532232 is a `hidden beast` number, since 4 + 2 + 121 + 532 + 2 + 3 + 2 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 13592295396 + 28529236836 = 116586^2 + 168906^2 .
It is a junction number, because it is equal to n+sod(n) for n = 42121532196 and 42121532205.
It is not an unprimeable number, because it can be changed into a prime (42121532237) 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 23 ways as a sum of consecutive naturals, for example, 225732 + ... + 367692.
Almost surely, 242121532232 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 42121532232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61621445340).
42121532232 is an abundant number, since it is smaller than the sum of its proper divisors (81121358448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42121532232 is a wasteful number, since it uses less digits than its factorization.
42121532232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 142303 (or 142296 counting only the distinct ones).
The product of its digits is 5760, while the sum is 27.
The spelling of 42121532232 in words is "forty-two billion, one hundred twenty-one million, five hundred thirty-two thousand, two hundred thirty-two".
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