Base | Representation |
---|---|
bin | 10011001101000101100110… |
… | …00010000011001011001000 |
3 | 12112112020220111210201010010 |
4 | 21212202303002003023020 |
5 | 21013403314230110344 |
6 | 225452413142151520 |
7 | 11616045401100552 |
oct | 1146426302031310 |
9 | 175466814721103 |
10 | 42231122113224 |
11 | 12502133519390 |
12 | 48a08114225a0 |
13 | 1a744bab36cc5 |
14 | a5ddd650c4d2 |
15 | 4d37dd54a8b9 |
hex | 2668b30832c8 |
42231122113224 has 64 divisors (see below), whose sum is σ = 115226150307840. Its totient is φ = 12791713872960.
The previous prime is 42231122113217. The next prime is 42231122113361.
42231122113224 is nontrivially palindromic in base 10.
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 = 42231122113191 and 42231122113200.
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, 34369204 + ... + 35576739.
It is an arithmetic number, because the mean of its divisors is an integer number (1800408598560).
Almost surely, 242231122113224 is an apocalyptic number.
42231122113224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
42231122113224 is an abundant number, since it is smaller than the sum of its proper divisors (72995028194616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42231122113224 is a wasteful number, since it uses less digits than its factorization.
42231122113224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 69948250 (or 69948246 counting only the distinct ones).
The product of its digits is 9216, while the sum is 30.
It can be divided in two parts, 4223112 and 2113224, that added together give a palindrome (6336336).
The spelling of 42231122113224 in words is "forty-two trillion, two hundred thirty-one billion, one hundred twenty-two million, one hundred thirteen thousand, two hundred twenty-four".
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