Base | Representation |
---|---|
bin | 10001001110010… |
… | …01010000000000 |
3 | 101001212022020200 |
4 | 20213021100000 |
5 | 243441313412 |
6 | 22200405200 |
7 | 3403024152 |
oct | 1047112000 |
9 | 331768220 |
10 | 144479232 |
11 | 74611427 |
12 | 40476800 |
13 | 23c18091 |
14 | 1528cad2 |
15 | ca3d9dc |
hex | 89c9400 |
144479232 has 132 divisors (see below), whose sum is σ = 425669556. Its totient is φ = 47185920.
The previous prime is 144479213. The next prime is 144479239. The reversal of 144479232 is 232974441.
It can be written as a sum of positive squares in 2 ways, for example, as 76317696 + 68161536 = 8736^2 + 8256^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144479239) 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, 562048 + ... + 562304.
Almost surely, 2144479232 is an apocalyptic number.
144479232 is a gapful number since it is divisible by the number (12) 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 144479232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212834778).
144479232 is an abundant number, since it is smaller than the sum of its proper divisors (281190324).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144479232 is a wasteful number, since it uses less digits than its factorization.
144479232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 344 (or 323 counting only the distinct ones).
The product of its digits is 48384, while the sum is 36.
The square root of 144479232 is about 12019.9514142113. The cubic root of 144479232 is about 524.7290901615.
The spelling of 144479232 in words is "one hundred forty-four million, four hundred seventy-nine thousand, two hundred thirty-two".
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