Base | Representation |
---|---|
bin | 10001001011110… |
… | …01011101101000 |
3 | 101001020200221200 |
4 | 20211321131220 |
5 | 243400334144 |
6 | 22145404200 |
7 | 3400163313 |
oct | 1045713550 |
9 | 331220850 |
10 | 144152424 |
11 | 74408939 |
12 | 40339660 |
13 | 23b323c0 |
14 | 1520597a |
15 | c9c6c69 |
hex | 8979768 |
144152424 has 96 divisors (see below), whose sum is σ = 422614920. Its totient is φ = 44126208.
The previous prime is 144152389. The next prime is 144152479. The reversal of 144152424 is 424251441.
144152424 is a `hidden beast` number, since 1 + 4 + 415 + 242 + 4 = 666.
144152424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 110628324 + 33524100 = 10518^2 + 5790^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315204 + ... + 315660.
Almost surely, 2144152424 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 144152424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211307460).
144152424 is an abundant number, since it is smaller than the sum of its proper divisors (278462496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144152424 is a wasteful number, since it uses less digits than its factorization.
144152424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 819 (or 812 counting only the distinct ones).
The product of its digits is 5120, while the sum is 27.
The square root of 144152424 is about 12006.3493202555. The cubic root of 144152424 is about 524.3331506126. Note that the first 3 decimals are identical.
The spelling of 144152424 in words is "one hundred forty-four million, one hundred fifty-two thousand, four hundred twenty-four".
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