Base | Representation |
---|---|
bin | 100111101010111… |
… | …1001111100101100 |
3 | 10102202210001011000 |
4 | 1033111321330230 |
5 | 10211233024234 |
6 | 340031000300 |
7 | 44662344522 |
oct | 11725717454 |
9 | 3382701130 |
10 | 1331142444 |
11 | 623439025 |
12 | 311969090 |
13 | 182a1cc68 |
14 | c8b0a312 |
15 | 7bce2899 |
hex | 4f579f2c |
1331142444 has 96 divisors (see below), whose sum is σ = 3532760000. Its totient is φ = 433340928.
The previous prime is 1331142431. The next prime is 1331142467. The reversal of 1331142444 is 4442411331.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 858582 + ... + 860130.
Almost surely, 21331142444 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 1331142444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766380000).
1331142444 is an abundant number, since it is smaller than the sum of its proper divisors (2201617556).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1331142444 is a wasteful number, since it uses less digits than its factorization.
1331142444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1744 (or 1736 counting only the distinct ones).
The product of its digits is 4608, while the sum is 27.
The square root of 1331142444 is about 36484.8248454066. The cubic root of 1331142444 is about 1100.0392393716.
Adding to 1331142444 its reverse (4442411331), we get a palindrome (5773553775).
It can be divided in two parts, 13311 and 42444, that added together give a palindrome (55755).
The spelling of 1331142444 in words is "one billion, three hundred thirty-one million, one hundred forty-two thousand, four hundred forty-four".
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