Base | Representation |
---|---|
bin | 1100111011110101101… |
… | …00100111010101011100 |
3 | 1120111011221111022021022 |
4 | 12131322310213111130 |
5 | 24240204203310234 |
6 | 540101323423312 |
7 | 44052456513542 |
oct | 6357264472534 |
9 | 1514157438238 |
10 | 444442244444 |
11 | 16153a073440 |
12 | 72176984b38 |
13 | 32babb24bc3 |
14 | 17722723d92 |
15 | b8633b0e2e |
hex | 677ad2755c |
444442244444 has 48 divisors (see below), whose sum is σ = 923935420800. Its totient is φ = 184787064000.
The previous prime is 444442244437. The next prime is 444442244453.
444442244444 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (44).
It is a nude number because it is divisible by every one of its digits.
It is a zygodrome in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 444442244395 and 444442244404.
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 15 ways as a sum of consecutive naturals, for example, 9141782 + ... + 9190269.
It is an arithmetic number, because the mean of its divisors is an integer number (19248654600).
Almost surely, 2444442244444 is an apocalyptic number.
444442244444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
444442244444 is an abundant number, since it is smaller than the sum of its proper divisors (479493176356).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
444442244444 is a wasteful number, since it uses less digits than its factorization.
444442244444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18332114 (or 18332112 counting only the distinct ones).
The product of its digits is 4194304, while the sum is 44.
It can be divided in two parts, 444442 and 244444, that added together give a palindrome (688886).
The spelling of 444442244444 in words is "four hundred forty-four billion, four hundred forty-two million, two hundred forty-four thousand, four hundred forty-four".
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