Base | Representation |
---|---|
bin | 10001010001000… |
… | …00011101001000 |
3 | 101002112110020000 |
4 | 20220200131020 |
5 | 244034231144 |
6 | 22212203000 |
7 | 3406042425 |
oct | 1050403510 |
9 | 332473200 |
10 | 144836424 |
11 | 74835827 |
12 | 40609460 |
13 | 24011835 |
14 | 15342d4c |
15 | caae769 |
hex | 8a20748 |
144836424 has 80 divisors (see below), whose sum is σ = 409877820. Its totient is φ = 47779200.
The previous prime is 144836407. The next prime is 144836441. The reversal of 144836424 is 424638441.
144836424 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 3 + 642 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (144836407) and next prime (144836441).
It can be written as a sum of positive squares in 2 ways, for example, as 92736900 + 52099524 = 9630^2 + 7218^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64342 + ... + 66554.
Almost surely, 2144836424 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 144836424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204938910).
144836424 is an abundant number, since it is smaller than the sum of its proper divisors (265041396).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144836424 is a wasteful number, since it uses less digits than its factorization.
144836424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2332 (or 2319 counting only the distinct ones).
The product of its digits is 73728, while the sum is 36.
The square root of 144836424 is about 12034.8005384385. The cubic root of 144836424 is about 525.1611586875.
The spelling of 144836424 in words is "one hundred forty-four million, eight hundred thirty-six thousand, four hundred twenty-four".
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