Base | Representation |
---|---|
bin | 1000010000011101… |
… | …11111000100000000 |
3 | 102102221200111021010 |
4 | 10020032333010000 |
5 | 33034334111334 |
6 | 2011521000520 |
7 | 214566561462 |
oct | 41016770400 |
9 | 12387614233 |
10 | 4433113344 |
11 | 1975416740 |
12 | a38783140 |
13 | 5585880ba |
14 | 300a98132 |
15 | 1ae2ca0e9 |
hex | 1083bf100 |
4433113344 has 144 divisors (see below), whose sum is σ = 13115317824. Its totient is φ = 1317888000.
The previous prime is 4433113339. The next prime is 4433113369.
4433113344 is nontrivially palindromic in base 10.
It is a nude number because it is divisible by every one of its digits.
It is a zygodrome in base 10.
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, 442794 + ... + 452694.
It is an arithmetic number, because the mean of its divisors is an integer number (91078596).
Almost surely, 24433113344 is an apocalyptic number.
4433113344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4433113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6557658912).
4433113344 is an abundant number, since it is smaller than the sum of its proper divisors (8682204480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4433113344 is a wasteful number, since it uses less digits than its factorization.
4433113344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9984 (or 9970 counting only the distinct ones).
The product of its digits is 20736, while the sum is 30.
The square root of 4433113344 is about 66581.6291780248. The cubic root of 4433113344 is about 1642.7429489416.
It can be divided in two parts, 44331 and 13344, that added together give a palindrome (57675).
The spelling of 4433113344 in words is "four billion, four hundred thirty-three million, one hundred thirteen thousand, three hundred forty-four".
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