Base | Representation |
---|---|
bin | 1100111000000101000… |
… | …11001111011100110100 |
3 | 1120021222022121102022211 |
4 | 12130002203033130310 |
5 | 24222041123033434 |
6 | 535125202503204 |
7 | 43651455362035 |
oct | 6340243173464 |
9 | 1507868542284 |
10 | 442424424244 |
11 | 1606a4065240 |
12 | 718b3064b04 |
13 | 32949a7b65a |
14 | 175b074aa8c |
15 | b79617d464 |
hex | 67028cf734 |
442424424244 has 96 divisors (see below), whose sum is σ = 907251674112. Its totient is φ = 186551040000.
The previous prime is 442424424229. The next prime is 442424424269.
442424424244 is nontrivially palindromic in base 10.
It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.
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 = 442424424197 and 442424424206.
It is a congruent number.
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, 16834074 + ... + 16860334.
It is an arithmetic number, because the mean of its divisors is an integer number (9450538272).
Almost surely, 2442424424244 is an apocalyptic number.
442424424244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
442424424244 is an abundant number, since it is smaller than the sum of its proper divisors (464827249868).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
442424424244 is a wasteful number, since it uses less digits than its factorization.
442424424244 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 26617 (or 26615 counting only the distinct ones).
The product of its digits is 1048576, while the sum is 40.
It can be divided in two parts, 442424 and 424244, that added together give a palindrome (866668).
The spelling of 442424424244 in words is "four hundred forty-two billion, four hundred twenty-four million, four hundred twenty-four thousand, two hundred forty-four".
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