Base | Representation |
---|---|
bin | 10001001011000… |
… | …01000000000000 |
3 | 101001001121111120 |
4 | 20211201000000 |
5 | 243334132344 |
6 | 22143312240 |
7 | 3366265221 |
oct | 1045410000 |
9 | 331047446 |
10 | 144052224 |
11 | 7434a628 |
12 | 402ab680 |
13 | 23ac8904 |
14 | 151bb248 |
15 | c9a7219 |
hex | 8961000 |
144052224 has 104 divisors (see below), whose sum is σ = 404963040. Its totient is φ = 45416448.
The previous prime is 144052187. The next prime is 144052247. The reversal of 144052224 is 422250441.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 144052194 and 144052203.
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, 233164 + ... + 233780.
Almost surely, 2144052224 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 144052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202481520).
144052224 is an abundant number, since it is smaller than the sum of its proper divisors (260910816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144052224 is an equidigital number, since it uses as much as digits as its factorization.
144052224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 663 (or 641 counting only the distinct ones).
The product of its (nonzero) digits is 2560, while the sum is 24.
The square root of 144052224 is about 12002.1758027451. The cubic root of 144052224 is about 524.2116348864.
The spelling of 144052224 in words is "one hundred forty-four million, fifty-two thousand, two hundred twenty-four".
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