| Base | Representation |
|---|---|
| bin | 1100111011101000010… |
| … | …00100100000100100100 |
| 3 | 1120110220010100101201100 |
| 4 | 12131310020210010210 |
| 5 | 24234441442032234 |
| 6 | 540042234400100 |
| 7 | 44046624653013 |
| oct | 6356410440444 |
| 9 | 1513803311640 |
| 10 | 444330033444 |
| 11 | 1614917a1680 |
| 12 | 72145290030 |
| 13 | 32b917c736b |
| 14 | 17711874a7a |
| 15 | b8585e8399 |
| hex | 6774224124 |
444330033444 has 144 divisors (see below), whose sum is σ = 1247090906880. Its totient is φ = 132251832000.
The previous prime is 444330033421. The next prime is 444330033457.
444330033444 is a `hidden beast` number, since 4 + 4 + 4 + 3 + 300 + 3 + 344 + 4 = 666.
444330033444 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×4443300334442 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 444330033399 and 444330033408.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30155559 + ... + 30170289.
It is an arithmetic number, because the mean of its divisors is an integer number (8660353520).
Almost surely, 2444330033444 is an apocalyptic number.
444330033444 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 444330033444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623545453440).
444330033444 is an abundant number, since it is smaller than the sum of its proper divisors (802760873436).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
444330033444 is a wasteful number, since it uses less digits than its factorization.
444330033444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16102 (or 16097 counting only the distinct ones).
The product of its (nonzero) digits is 331776, while the sum is 36.
It can be divided in two parts, 4443300 and 33444, that added together give a palindrome (4476744).
The spelling of 444330033444 in words is "four hundred forty-four billion, three hundred thirty million, thirty-three thousand, four hundred forty-four".
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