Base | Representation |
---|---|
bin | 10001001010111… |
… | …00111010000000 |
3 | 101001000202111112 |
4 | 20211130322000 |
5 | 243333113311 |
6 | 22143102452 |
7 | 3366165305 |
oct | 1045347200 |
9 | 331022445 |
10 | 144035456 |
11 | 74338a74 |
12 | 402a1a28 |
13 | 23ac10a6 |
14 | 151b50ac |
15 | c9a228b |
hex | 895ce80 |
144035456 has 32 divisors (see below), whose sum is σ = 288577380. Its totient is φ = 71608320.
The previous prime is 144035443. The next prime is 144035471. The reversal of 144035456 is 654530441.
It can be written as a sum of positive squares in 2 ways, for example, as 137358400 + 6677056 = 11720^2 + 2584^2 .
It is a tau number, because it is divible by the number of its divisors (32).
It is a Harshad number since it is a multiple of its sum of digits (32).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20060 + ... + 26276.
Almost surely, 2144035456 is an apocalyptic number.
144035456 is a gapful number since it is divisible by the number (16) 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 144035456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144288690).
144035456 is an abundant number, since it is smaller than the sum of its proper divisors (144541924).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144035456 is an equidigital number, since it uses as much as digits as its factorization.
144035456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6412 (or 6400 counting only the distinct ones).
The product of its (nonzero) digits is 28800, while the sum is 32.
The square root of 144035456 is about 12001.4772424065. The cubic root of 144035456 is about 524.1912942962.
Adding to 144035456 its reverse (654530441), we get a palindrome (798565897).
The spelling of 144035456 in words is "one hundred forty-four million, thirty-five thousand, four hundred fifty-six".
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