Base | Representation |
---|---|
bin | 1000010001010011… |
… | …01010010000111100 |
3 | 102110102211202110000 |
4 | 10020221222100330 |
5 | 33043131343134 |
6 | 2012330514300 |
7 | 215013164403 |
oct | 41051522074 |
9 | 12412752400 |
10 | 4440106044 |
11 | 1979362430 |
12 | a3ab95990 |
13 | 559b65baa |
14 | 30199863a |
15 | 1aec0be99 |
hex | 108a6a43c |
4440106044 has 120 divisors (see below), whose sum is σ = 12686623488. Its totient is φ = 1342928160.
The previous prime is 4440106043. The next prime is 4440106049. The reversal of 4440106044 is 4406010444.
4440106044 is a `hidden beast` number, since 4 + 4 + 40 + 10 + 604 + 4 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 4440105999 and 4440106017.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4440106043) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2804077 + ... + 2805659.
Almost surely, 24440106044 is an apocalyptic number.
4440106044 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 4440106044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343311744).
4440106044 is an abundant number, since it is smaller than the sum of its proper divisors (8246517444).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4440106044 is a wasteful number, since it uses less digits than its factorization.
4440106044 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2397 (or 2386 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 27.
The square root of 4440106044 is about 66634.1207190430. The cubic root of 4440106044 is about 1643.6062379457.
Adding to 4440106044 its reverse (4406010444), we get a palindrome (8846116488).
It can be divided in two parts, 444010 and 6044, that added together give a palindrome (450054).
The spelling of 4440106044 in words is "four billion, four hundred forty million, one hundred six thousand, forty-four".
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