Base | Representation |
---|---|
bin | 1100100101011101110… |
… | …01110001110100000000 |
3 | 1112100011212102112021210 |
4 | 12102232321301310000 |
5 | 24041104331031144 |
6 | 530353415250120 |
7 | 43146021541164 |
oct | 6225671616400 |
9 | 1470155375253 |
10 | 432431111424 |
11 | 1574360a8424 |
12 | 6b984379940 |
13 | 31a16592bc0 |
14 | 16d03448ca4 |
15 | b3adb91ab9 |
hex | 64aee71d00 |
432431111424 has 144 divisors (see below), whose sum is σ = 1242530299584. Its totient is φ = 132722688000.
The previous prime is 432431111419. The next prime is 432431111443. The reversal of 432431111424 is 424111134234.
It is a happy number.
It is a super-2 number, since 2×4324311114242 (a number of 24 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 432431111391 and 432431111400.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3949579 + ... + 4057589.
It is an arithmetic number, because the mean of its divisors is an integer number (8628682636).
Almost surely, 2432431111424 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 432431111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621265149792).
432431111424 is an abundant number, since it is smaller than the sum of its proper divisors (810099188160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
432431111424 is a wasteful number, since it uses less digits than its factorization.
432431111424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 108444 (or 108430 counting only the distinct ones).
The product of its digits is 9216, while the sum is 30.
Adding to 432431111424 its reverse (424111134234), we get a palindrome (856542245658).
The spelling of 432431111424 in words is "four hundred thirty-two billion, four hundred thirty-one million, one hundred eleven thousand, four hundred twenty-four".
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