Base | Representation |
---|---|
bin | 1100111011110011011… |
… | …00011100001100011100 |
3 | 1120111010121220001220120 |
4 | 12131321230130030130 |
5 | 24240134332340234 |
6 | 540055410114540 |
7 | 44052136633311 |
oct | 6357154341434 |
9 | 1514117801816 |
10 | 444423324444 |
11 | 16152a420580 |
12 | 7217057ba50 |
13 | 32ba7c2c238 |
14 | 1771dddad08 |
15 | b8618c5049 |
hex | 6779b1c31c |
444423324444 has 24 divisors (see below), whose sum is σ = 1131259371648. Its totient is φ = 134673734640.
The previous prime is 444423324431. The next prime is 444423324509.
444423324444 is nontrivially palindromic in base 10.
It is a super-3 number, since 3×4444233244443 (a number of 36 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 = 444423324396 and 444423324405.
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, 1683421552 + ... + 1683421815.
It is an arithmetic number, because the mean of its divisors is an integer number (47135807152).
Almost surely, 2444423324444 is an apocalyptic number.
444423324444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
444423324444 is an abundant number, since it is smaller than the sum of its proper divisors (686836047204).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
444423324444 is a wasteful number, since it uses less digits than its factorization.
444423324444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3366843385 (or 3366843383 counting only the distinct ones).
The product of its digits is 2359296, while the sum is 42.
It can be divided in two parts, 444423 and 324444, that added together give a palindrome (768867).
The spelling of 444423324444 in words is "four hundred forty-four billion, four hundred twenty-three million, three hundred twenty-four thousand, four hundred forty-four".
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