Base | Representation |
---|---|
bin | 10001001011100… |
… | …10101001111100 |
3 | 101001012021200221 |
4 | 20211302221330 |
5 | 243343441130 |
6 | 22145031124 |
7 | 3400016110 |
oct | 1045625174 |
9 | 331167627 |
10 | 144124540 |
11 | 7439999a |
12 | 403254a4 |
13 | 23b227c1 |
14 | 151d9740 |
15 | c9bd87a |
hex | 8972a7c |
144124540 has 48 divisors (see below), whose sum is σ = 349497792. Its totient is φ = 48900096.
The previous prime is 144124529. The next prime is 144124567. The reversal of 144124540 is 45421441.
144124540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8274 + ... + 18886.
It is an arithmetic number, because the mean of its divisors is an integer number (7281204).
Almost surely, 2144124540 is an apocalyptic number.
144124540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 144124540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174748896).
144124540 is an abundant number, since it is smaller than the sum of its proper divisors (205373252).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144124540 is a wasteful number, since it uses less digits than its factorization.
144124540 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10726 (or 10724 counting only the distinct ones).
The product of its (nonzero) digits is 2560, while the sum is 25.
The square root of 144124540 is about 12005.1880451745. The cubic root of 144124540 is about 524.2993404553.
Adding to 144124540 its reverse (45421441), we get a palindrome (189545981).
The spelling of 144124540 in words is "one hundred forty-four million, one hundred twenty-four thousand, five hundred forty".
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