Base | Representation |
---|---|
bin | 10001001010111… |
… | …10010010100000 |
3 | 101001001001021022 |
4 | 20211132102200 |
5 | 243333303440 |
6 | 22143145012 |
7 | 3366220646 |
oct | 1045362240 |
9 | 331031238 |
10 | 144041120 |
11 | 74342253 |
12 | 402a5168 |
13 | 23ac3842 |
14 | 151b7196 |
15 | c9a3cb5 |
hex | 895e4a0 |
144041120 has 48 divisors (see below), whose sum is σ = 343842408. Its totient is φ = 57016320.
The previous prime is 144041101. The next prime is 144041123. The reversal of 144041120 is 21140441.
It can be written as a sum of positive squares in 4 ways, for example, as 134281744 + 9759376 = 11588^2 + 3124^2 .
It is not an unprimeable number, because it can be changed into a prime (144041123) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 10880 + ... + 20160.
Almost surely, 2144041120 is an apocalyptic number.
144041120 is a gapful number since it is divisible by the number (10) 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 144041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171921204).
144041120 is an abundant number, since it is smaller than the sum of its proper divisors (199801288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144041120 is an equidigital number, since it uses as much as digits as its factorization.
144041120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9393 (or 9385 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 17.
The square root of 144041120 is about 12001.7132110378. The cubic root of 144041120 is about 524.1981652446.
Adding to 144041120 its reverse (21140441), we get a palindrome (165181561).
The spelling of 144041120 in words is "one hundred forty-four million, forty-one thousand, one hundred twenty".
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