Base | Representation |
---|---|
bin | 10001001011100… |
… | …10100101000000 |
3 | 101001012021021020 |
4 | 20211302211000 |
5 | 243343433344 |
6 | 22145025440 |
7 | 3400015146 |
oct | 1045624500 |
9 | 331167236 |
10 | 144124224 |
11 | 74399732 |
12 | 40325280 |
13 | 23b2260a |
14 | 151d9596 |
15 | c9bd719 |
hex | 8972940 |
144124224 has 56 divisors (see below), whose sum is σ = 383621280. Its totient is φ = 47752704.
The previous prime is 144124219. The next prime is 144124289. The reversal of 144124224 is 422421441.
It is a Harshad number since it is a multiple of its sum of digits (24).
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 = 144124194 and 144124203.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31047 + ... + 35385.
It is an arithmetic number, because the mean of its divisors is an integer number (6850380).
Almost surely, 2144124224 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 144124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191810640).
144124224 is an abundant number, since it is smaller than the sum of its proper divisors (239497056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144124224 is a wasteful number, since it uses less digits than its factorization.
144124224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4527 (or 4517 counting only the distinct ones).
The product of its digits is 2048, while the sum is 24.
The square root of 144124224 is about 12005.1748841906. The cubic root of 144124224 is about 524.2989572712.
Adding to 144124224 its reverse (422421441), we get a palindrome (566545665).
The spelling of 144124224 in words is "one hundred forty-four million, one hundred twenty-four thousand, two hundred twenty-four".
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