Base | Representation |
---|---|
bin | 10001001011101… |
… | …01000000000000 |
3 | 101001012202212122 |
4 | 20211311000000 |
5 | 243344243034 |
6 | 22145143412 |
7 | 3400056110 |
oct | 1045650000 |
9 | 331182778 |
10 | 144134144 |
11 | 743a6130 |
12 | 4032ab68 |
13 | 23b26c9b |
14 | 151dd040 |
15 | c9c162e |
hex | 8975000 |
144134144 has 104 divisors (see below), whose sum is σ = 360141888. Its totient is φ = 56033280.
The previous prime is 144134117. The next prime is 144134167. The reversal of 144134144 is 441431441.
It is a super-2 number, since 2×1441341442 = 41549302933225472, which contains 22 as substring.
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, 315164 + ... + 315620.
Almost surely, 2144134144 is an apocalyptic number.
144134144 is a gapful number since it is divisible by the number (14) 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 144134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180070944).
144134144 is an abundant number, since it is smaller than the sum of its proper divisors (216007744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144134144 is an equidigital number, since it uses as much as digits as its factorization.
144134144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 499 (or 477 counting only the distinct ones).
The product of its digits is 3072, while the sum is 26.
The square root of 144134144 is about 12005.5880322457. The cubic root of 144134144 is about 524.3109860757.
Adding to 144134144 its reverse (441431441), we get a palindrome (585565585).
The spelling of 144134144 in words is "one hundred forty-four million, one hundred thirty-four thousand, one hundred forty-four".
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