Base | Representation |
---|---|
bin | 1000010001110010… |
… | …10111101110111100 |
3 | 102110201120222211100 |
4 | 10020321113232330 |
5 | 33100210140234 |
6 | 2012555053100 |
7 | 215063166402 |
oct | 41071275674 |
9 | 12421528740 |
10 | 4444224444 |
11 | 1980715670 |
12 | a40441190 |
13 | 55a97860a |
14 | 30234b472 |
15 | 1b0272399 |
hex | 108e57bbc |
4444224444 has 36 divisors (see below), whose sum is σ = 12255286680. Its totient is φ = 1346734560.
The previous prime is 4444224437. The next prime is 4444224457.
4444224444 is nontrivially palindromic in base 10.
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-3 number, since 3×44442244443 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
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 = 4444224399 and 4444224408.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5610999 + ... + 5611790.
It is an arithmetic number, because the mean of its divisors is an integer number (340424630).
Almost surely, 24444224444 is an apocalyptic number.
4444224444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
4444224444 is an abundant number, since it is smaller than the sum of its proper divisors (7811062236).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4444224444 is a wasteful number, since it uses less digits than its factorization.
4444224444 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11222810 (or 11222805 counting only the distinct ones).
The product of its digits is 262144, while the sum is 36.
The square root of 4444224444 is about 66665.0166429140. The cubic root of 4444224444 is about 1644.1142540517.
It can be divided in two parts, 44442 and 24444, that added together give a palindrome (68886).
The spelling of 4444224444 in words is "four billion, four hundred forty-four million, two hundred twenty-four thousand, four hundred forty-four".
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