Base | Representation |
---|---|
bin | 10001001011100… |
… | …10100110000000 |
3 | 101001012021100121 |
4 | 20211302212000 |
5 | 243343434123 |
6 | 22145030024 |
7 | 3400015300 |
oct | 1045624600 |
9 | 331167317 |
10 | 144124288 |
11 | 74399790 |
12 | 40325314 |
13 | 23b22659 |
14 | 151d9600 |
15 | c9bd75d |
hex | 8972980 |
144124288 has 96 divisors (see below), whose sum is σ = 364537800. Its totient is φ = 56125440.
The previous prime is 144124219. The next prime is 144124289. The reversal of 144124288 is 882421441.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144124289) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67948 + ... + 70036.
Almost surely, 2144124288 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 144124288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182268900).
144124288 is an abundant number, since it is smaller than the sum of its proper divisors (220413512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144124288 is a wasteful number, since it uses less digits than its factorization.
144124288 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2128 (or 2109 counting only the distinct ones).
The product of its digits is 16384, while the sum is 34.
The square root of 144124288 is about 12005.1775497075. The cubic root of 144124288 is about 524.2990348781.
The spelling of 144124288 in words is "one hundred forty-four million, one hundred twenty-four thousand, two hundred eighty-eight".
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