| Base | Representation |
|---|---|
| bin | 1000010001011011… |
| … | …00010111000110000 |
| 3 | 102110111202111100220 |
| 4 | 10020231202320300 |
| 5 | 33043411440100 |
| 6 | 2012404413040 |
| 7 | 215024635356 |
| oct | 41055427060 |
| 9 | 12414674326 |
| 10 | 4441124400 |
| 11 | 1979998549 |
| 12 | a3b3a7180 |
| 13 | 55a13157b |
| 14 | 301b817d6 |
| 15 | 1aed5daa0 |
| hex | 108b62e30 |
4441124400 has 120 divisors (see below), whose sum is σ = 14495032080. Its totient is φ = 1161937920.
The previous prime is 4441124381. The next prime is 4441124407. The reversal of 4441124400 is 44211444.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (4441124407) 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 23 ways as a sum of consecutive naturals, for example, 28686 + ... + 98514.
It is an arithmetic number, because the mean of its divisors is an integer number (120791934).
Almost surely, 24441124400 is an apocalyptic number.
4441124400 is a gapful number since it is divisible by the number (40) 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 4441124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7247516040).
4441124400 is an abundant number, since it is smaller than the sum of its proper divisors (10053907680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4441124400 is a wasteful number, since it uses less digits than its factorization.
4441124400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 69903 (or 69892 counting only the distinct ones).
The product of its (nonzero) digits is 2048, while the sum is 24.
The square root of 4441124400 is about 66641.7616813961. The cubic root of 4441124400 is about 1643.7318842187.
Adding to 4441124400 its reverse (44211444), we get a palindrome (4485335844).
The spelling of 4441124400 in words is "four billion, four hundred forty-one million, one hundred twenty-four thousand, four hundred".
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