| Base | Representation |
|---|---|
| bin | 1111011100000010… |
| … | …0010000110000000 |
| 3 | 101200210212200221122 |
| 4 | 3313000202012000 |
| 5 | 31441343041000 |
| 6 | 1523114411412 |
| 7 | 204460241120 |
| oct | 36700420600 |
| 9 | 11623780848 |
| 10 | 4144112000 |
| 11 | 1837274756 |
| 12 | 977a30b68 |
| 13 | 51073b5a2 |
| 14 | 2b4548c80 |
| 15 | 193c40085 |
| hex | f7022180 |
4144112000 has 256 divisors, whose sum is σ = 11899630080. Its totient is φ = 1405900800.
The previous prime is 4144111997. The next prime is 4144112003. The reversal of 4144112000 is 2114414.
It is an interprime number because it is at equal distance from previous prime (4144111997) and next prime (4144112003).
It is a self number, because there is not a number n which added to its sum of digits gives 4144112000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4144112003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18255887 + ... + 18256113.
It is an arithmetic number, because the mean of its divisors is an integer number (46482930).
Almost surely, 24144112000 is an apocalyptic number.
4144112000 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 4144112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5949815040).
4144112000 is an abundant number, since it is smaller than the sum of its proper divisors (7755518080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4144112000 is a wasteful number, since it uses less digits than its factorization.
4144112000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 426 (or 404 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 17.
The square root of 4144112000 is about 64374.7776695190. Note that the first 3 decimals coincide. The cubic root of 4144112000 is about 1606.2402140239.
Adding to 4144112000 its reverse (2114414), we get a palindrome (4146226414).
The spelling of 4144112000 in words is "four billion, one hundred forty-four million, one hundred twelve thousand".
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