Base | Representation |
---|---|
bin | 10001001111000… |
… | …11001011100001 |
3 | 101002001200221100 |
4 | 20213203023201 |
5 | 244003213231 |
6 | 22202545013 |
7 | 3403645620 |
oct | 1047431341 |
9 | 332050840 |
10 | 144585441 |
11 | 74684200 |
12 | 40508169 |
13 | 23c54520 |
14 | 152b96b7 |
15 | ca601e6 |
hex | 89e32e1 |
144585441 has 72 divisors (see below), whose sum is σ = 282726080. Its totient is φ = 69284160.
The previous prime is 144585409. The next prime is 144585443.
144585441 is nontrivially palindromic in base 10.
It is not a de Polignac number, because 144585441 - 25 = 144585409 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 144585396 and 144585405.
It is not an unprimeable number, because it can be changed into a prime (144585443) by changing a digit.
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 71 ways as a sum of consecutive naturals, for example, 98370 + ... + 99828.
Almost surely, 2144585441 is an apocalyptic number.
144585441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
144585441 is a deficient number, since it is larger than the sum of its proper divisors (138140639).
144585441 is a wasteful number, since it uses less digits than its factorization.
144585441 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1507 (or 1493 counting only the distinct ones).
The product of its digits is 51200, while the sum is 36.
The square root of 144585441 is about 12024.3686320738. The cubic root of 144585441 is about 524.8576375900.
It can be divided in two parts, 144 and 585441, that added together give a palindrome (585585).
The spelling of 144585441 in words is "one hundred forty-four million, five hundred eighty-five thousand, four hundred forty-one".
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