Base | Representation |
---|---|
bin | 1111110011111000… |
… | …0100111000000100 |
3 | 101221210002012200100 |
4 | 3330332010320010 |
5 | 32142444200312 |
6 | 1541050244100 |
7 | 210113343510 |
oct | 37476047004 |
9 | 11853065610 |
10 | 4244131332 |
11 | 1888779761 |
12 | 9a5426630 |
13 | 52838ab1c |
14 | 2c3943140 |
15 | 19c8ea5dc |
hex | fcf84e04 |
4244131332 has 72 divisors (see below), whose sum is σ = 12286153152. Its totient is φ = 1210104000.
The previous prime is 4244131301. The next prime is 4244131343. The reversal of 4244131332 is 2331314424.
4244131332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 = 4244131296 and 4244131305.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106582 + ... + 140882.
It is an arithmetic number, because the mean of its divisors is an integer number (170641016).
Almost surely, 24244131332 is an apocalyptic number.
4244131332 is a gapful number since it is divisible by the number (42) 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 4244131332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143076576).
4244131332 is an abundant number, since it is smaller than the sum of its proper divisors (8042021820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4244131332 is a wasteful number, since it uses less digits than its factorization.
4244131332 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 34809 (or 34804 counting only the distinct ones).
The product of its digits is 6912, while the sum is 27.
The square root of 4244131332 is about 65146.9978740387. The cubic root of 4244131332 is about 1619.0599804852.
Adding to 4244131332 its reverse (2331314424), we get a palindrome (6575445756).
The spelling of 4244131332 in words is "four billion, two hundred forty-four million, one hundred thirty-one thousand, three hundred thirty-two".
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