Base | Representation |
---|---|
bin | 10100000111100111111110… |
… | …01011110001010000110100 |
3 | 12210122112111000120112220210 |
4 | 22003303333023301100310 |
5 | 21244332011233033434 |
6 | 234032410503425420 |
7 | 12214261005464013 |
oct | 1203637713612064 |
9 | 183575430515823 |
10 | 44242444424244 |
11 | 1310812a530000 |
12 | 4b66595155270 |
13 | 1b8c077005aa1 |
14 | acd4ba9aca7a |
15 | 51acaa531ee9 |
hex | 283cff2f1434 |
44242444424244 has 120 divisors (see below), whose sum is σ = 113964973121440. Its totient is φ = 13358386641600.
The previous prime is 44242444424239. The next prime is 44242444424249.
It is a happy number.
44242444424244 is nontrivially palindromic in base 10.
It is an interprime number because it is at equal distance from previous prime (44242444424239) and next prime (44242444424249).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 44242444424193 and 44242444424202.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (44242444424249) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48212139 + ... + 49121229.
Almost surely, 244242444424244 is an apocalyptic number.
44242444424244 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 44242444424244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56982486560720).
44242444424244 is an abundant number, since it is smaller than the sum of its proper divisors (69722528697196).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
44242444424244 is a wasteful number, since it uses less digits than its factorization.
44242444424244 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 909419 (or 909384 counting only the distinct ones).
The product of its digits is 16777216, while the sum is 48.
It can be divided in two parts, 4424244 and 4424244, that added together give a palindrome (8848488).
The spelling of 44242444424244 in words is "forty-four trillion, two hundred forty-two billion, four hundred forty-four million, four hundred twenty-four thousand, two hundred forty-four".
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