Base | Representation |
---|---|
bin | 1000010001110010… |
… | …10111001001001000 |
3 | 102110201120212111201 |
4 | 10020321113021020 |
5 | 33100210101044 |
6 | 2012555033544 |
7 | 215063156344 |
oct | 41071271110 |
9 | 12421525451 |
10 | 4444222024 |
11 | 1980713870 |
12 | a4043b8b4 |
13 | 55a977498 |
14 | 30234a624 |
15 | 1b02717d4 |
hex | 108e57248 |
4444222024 has 64 divisors (see below), whose sum is σ = 9279878400. Its totient is φ = 1978363200.
The previous prime is 4444221983. The next prime is 4444222051. The reversal of 4444222024 is 4202224444.
It is a super-3 number, since 3×44442220243 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 4444221983 and 4444222001.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 1053279 + ... + 1057489.
It is an arithmetic number, because the mean of its divisors is an integer number (144998100).
Almost surely, 24444222024 is an apocalyptic number.
4444222024 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 4444222024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4639939200).
4444222024 is an abundant number, since it is smaller than the sum of its proper divisors (4835656376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4444222024 is a wasteful number, since it uses less digits than its factorization.
4444222024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4474 (or 4470 counting only the distinct ones).
The product of its (nonzero) digits is 16384, while the sum is 28.
The square root of 4444222024 is about 66664.9984924623. The cubic root of 4444222024 is about 1644.1139556302.
Adding to 4444222024 its reverse (4202224444), we get a palindrome (8646446468).
It can be divided in two parts, 44442 and 22024, that added together give a palindrome (66466).
The spelling of 4444222024 in words is "four billion, four hundred forty-four million, two hundred twenty-two thousand, twenty-four".
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