Base | Representation |
---|---|
bin | 100000010100101110001… |
… | …0010001011001101011100 |
3 | 120201200222120011011222212 |
4 | 1000221130102023031130 |
5 | 1040241312334434234 |
6 | 13240513213255552 |
7 | 635651251534460 |
oct | 100513422131534 |
9 | 16650876134885 |
10 | 4442544452444 |
11 | 146308858786a |
12 | 5b8bb31945b8 |
13 | 262c126b0a97 |
14 | 11503d9b24a0 |
15 | 7a8629475ce |
hex | 40a5c48b35c |
4442544452444 has 144 divisors (see below), whose sum is σ = 9786239796480. Its totient is φ = 1723694100480.
The previous prime is 4442544452429. The next prime is 4442544452447.
4442544452444 is nontrivially palindromic in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 4442544452392 and 4442544452401.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4442544452447) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324479639 + ... + 324493329.
Almost surely, 24442544452444 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4442544452444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893119898240).
4442544452444 is an abundant number, since it is smaller than the sum of its proper divisors (5343695344036).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4442544452444 is a wasteful number, since it uses less digits than its factorization.
4442544452444 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14920 (or 14895 counting only the distinct ones).
The product of its digits is 26214400, while the sum is 50.
The spelling of 4442544452444 in words is "four trillion, four hundred forty-two billion, five hundred forty-four million, four hundred fifty-two thousand, four hundred forty-four".
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