Base | Representation |
---|---|
bin | 1100110111101111110… |
… | …00110111000101100100 |
3 | 1120021111212000021100120 |
4 | 12123313320313011210 |
5 | 24221204324322434 |
6 | 535055332441540 |
7 | 43644154041132 |
oct | 6336770670544 |
9 | 1507455007316 |
10 | 442245542244 |
11 | 160612096580 |
12 | 718631792b0 |
13 | 3291b9a960c |
14 | 17594aa4752 |
15 | b7855e6349 |
hex | 66f7e37164 |
442245542244 has 48 divisors (see below), whose sum is σ = 1125755400000. Its totient is φ = 134009101440.
The previous prime is 442245542243. The next prime is 442245542261.
442245542244 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×4422455422442 (a number of 24 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 442245542196 and 442245542205.
It is not an unprimeable number, because it can be changed into a prime (442245542243) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6398382 + ... + 6467130.
It is an arithmetic number, because the mean of its divisors is an integer number (23453237500).
Almost surely, 2442245542244 is an apocalyptic number.
442245542244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
442245542244 is an abundant number, since it is smaller than the sum of its proper divisors (683509857756).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
442245542244 is a wasteful number, since it uses less digits than its factorization.
442245542244 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 117500 (or 117498 counting only the distinct ones).
The product of its digits is 1638400, while the sum is 42.
It can be divided in two parts, 442245 and 542244, that added together give a palindrome (984489).
The spelling of 442245542244 in words is "four hundred forty-two billion, two hundred forty-five million, five hundred forty-two thousand, two hundred forty-four".
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