Base | Representation |
---|---|
bin | 1100111011110011010… |
… | …00111010111111010000 |
3 | 1120111010120011012112222 |
4 | 12131321220322333100 |
5 | 24240134113331000 |
6 | 540055334240212 |
7 | 44052126042053 |
oct | 6357150727720 |
9 | 1514116135488 |
10 | 444422402000 |
11 | 161529950525 |
12 | 721701b6068 |
13 | 32ba7998405 |
14 | 1771dc3aa9a |
15 | b861791a85 |
hex | 6779a3afd0 |
444422402000 has 40 divisors (see below), whose sum is σ = 1074613372872. Its totient is φ = 177768960000.
The previous prime is 444422401999. The next prime is 444422402023. The reversal of 444422402000 is 204224444.
It can be written as a sum of positive squares in 4 ways, for example, as 19704298384 + 424718103616 = 140372^2 + 651704^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a super-3 number, since 3×4444224020003 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 111103601 + ... + 111107600.
Almost surely, 2444422402000 is an apocalyptic number.
444422402000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
444422402000 is an abundant number, since it is smaller than the sum of its proper divisors (630190970872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
444422402000 is a wasteful number, since it uses less digits than its factorization.
444422402000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 222211224 (or 222211208 counting only the distinct ones).
The product of its (nonzero) digits is 8192, while the sum is 26.
Adding to 444422402000 its reverse (204224444), we get a palindrome (444626626444).
It can be divided in two parts, 44442 and 2402000, that added together give a palindrome (2446442).
The spelling of 444422402000 in words is "four hundred forty-four billion, four hundred twenty-two million, four hundred two thousand".
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