Base | Representation |
---|---|
bin | 111101100101000110… |
… | …0001111001010000000 |
3 | 110122100010012020101222 |
4 | 1323022030033022000 |
5 | 4131312223134240 |
6 | 140430100214212 |
7 | 12361026601022 |
oct | 1731214171200 |
9 | 418303166358 |
10 | 132241224320 |
11 | 510a07a6137 |
12 | 2176739a368 |
13 | c61630b07a |
14 | 6586dd8012 |
15 | 368e9c4eb5 |
hex | 1eca30f280 |
132241224320 has 128 divisors (see below), whose sum is σ = 322437108240. Its totient is φ = 51844808704.
The previous prime is 132241224277. The next prime is 132241224359. The reversal of 132241224320 is 23422142231.
It can be written as a sum of positive squares in 8 ways, for example, as 115159779904 + 17081444416 = 339352^2 + 130696^2 .
It is a tau number, because it is divible by the number of its divisors (128).
It is a self number, because there is not a number n which added to its sum of digits gives 132241224320.
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, 54711752 + ... + 54714168.
Almost surely, 2132241224320 is an apocalyptic number.
132241224320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132241224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161218554120).
132241224320 is an abundant number, since it is smaller than the sum of its proper divisors (190195883920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132241224320 is a wasteful number, since it uses less digits than its factorization.
132241224320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4102 (or 4090 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 26.
Adding to 132241224320 its reverse (23422142231), we get a palindrome (155663366551).
The spelling of 132241224320 in words is "one hundred thirty-two billion, two hundred forty-one million, two hundred twenty-four thousand, three hundred twenty".
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