Base | Representation |
---|---|
bin | 100000010100101000001… |
… | …1110110010011110111100 |
3 | 120201200110202112201121210 |
4 | 1000221100132302132330 |
5 | 1040240411141314234 |
6 | 13240441421124420 |
7 | 635643325434624 |
oct | 100512036623674 |
9 | 16650422481553 |
10 | 4442346432444 |
11 | 1462a96827478 |
12 | 5b8b589b9710 |
13 | 262bb066aa9b |
14 | 115021587884 |
15 | 7a85037ebe9 |
hex | 40a507b27bc |
4442346432444 has 24 divisors (see below), whose sum is σ = 10468103477328. Its totient is φ = 1466120934400.
The previous prime is 4442346432421. The next prime is 4442346432473.
It is a happy number.
4442346432444 is nontrivially palindromic in base 10.
It is a super-3 number, since 3×44423464324443 (a number of 39 digits) contains 333 as substring.
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 = 4442346432393 and 4442346432402.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1832649957 + ... + 1832652380.
It is an arithmetic number, because the mean of its divisors is an integer number (436170978222).
Almost surely, 24442346432444 is an apocalyptic number.
It is an amenable number.
4442346432444 is an abundant number, since it is smaller than the sum of its proper divisors (6025757044884).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4442346432444 is a wasteful number, since it uses less digits than its factorization.
4442346432444 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3665302445 (or 3665302443 counting only the distinct ones).
The product of its digits is 14155776, while the sum is 48.
The spelling of 4442346432444 in words is "four trillion, four hundred forty-two billion, three hundred forty-six million, four hundred thirty-two thousand, four hundred forty-four".
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