Base | Representation |
---|---|
bin | 1100110111111100101… |
… | …00001000001000011100 |
3 | 1120021210100212122020120 |
4 | 12123332110020020130 |
5 | 24221414424300434 |
6 | 535114143314540 |
7 | 43646633314665 |
oct | 6337624101034 |
9 | 1507710778216 |
10 | 442353353244 |
11 | 160667a32580 |
12 | 718932aba50 |
13 | 329381264ca |
14 | 175a512a36c |
15 | b78ece0349 |
hex | 66fe50821c |
442353353244 has 96 divisors (see below), whose sum is σ = 1139056369920. Its totient is φ = 132492096000.
The previous prime is 442353353243. The next prime is 442353353261.
442353353244 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×4423533532442 (a number of 24 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 442353353196 and 442353353205.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (442353353243) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44672694 + ... + 44682594.
It is an arithmetic number, because the mean of its divisors is an integer number (11865170520).
Almost surely, 2442353353244 is an apocalyptic number.
442353353244 is a gapful number since it is divisible by the number (44) 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 442353353244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569528184960).
442353353244 is an abundant number, since it is smaller than the sum of its proper divisors (696703016676).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
442353353244 is a wasteful number, since it uses less digits than its factorization.
442353353244 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13811 (or 13809 counting only the distinct ones).
The product of its digits is 2073600, while the sum is 42.
It can be divided in two parts, 442353 and 353244, that added together give a palindrome (795597).
The spelling of 442353353244 in words is "four hundred forty-two billion, three hundred fifty-three million, three hundred fifty-three thousand, two hundred forty-four".
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