Base | Representation |
---|---|
bin | 1100111000011100110… |
… | …01111111100000100100 |
3 | 1120022111011212200120120 |
4 | 12130032121333200210 |
5 | 24222443032414434 |
6 | 535201030001540 |
7 | 43656422124201 |
oct | 6341631774044 |
9 | 1508434780516 |
10 | 442623326244 |
11 | 160796368260 |
12 | 719497a62b0 |
13 | 3297c03cc48 |
14 | 175ccd24ca8 |
15 | b7a886c349 |
hex | 670e67f824 |
442623326244 has 48 divisors (see below), whose sum is σ = 1154157512256. Its totient is φ = 130856857600.
The previous prime is 442623326209. The next prime is 442623326287.
442623326244 is nontrivially palindromic in base 10.
442623326244 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
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 = 442623326196 and 442623326205.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40887357 + ... + 40898180.
It is an arithmetic number, because the mean of its divisors is an integer number (24044948172).
Almost surely, 2442623326244 is an apocalyptic number.
442623326244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
442623326244 is an abundant number, since it is smaller than the sum of its proper divisors (711534186012).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
442623326244 is a wasteful number, since it uses less digits than its factorization.
442623326244 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 81785596 (or 81785594 counting only the distinct ones).
The product of its digits is 1327104, while the sum is 42.
It can be divided in two parts, 442623 and 326244, that added together give a palindrome (768867).
The spelling of 442623326244 in words is "four hundred forty-two billion, six hundred twenty-three million, three hundred twenty-six thousand, two hundred forty-four".
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