Base | Representation |
---|---|
bin | 10001001100111… |
… | …01110001000000 |
3 | 101001112020220221 |
4 | 20212131301000 |
5 | 243420113440 |
6 | 22152512424 |
7 | 3401352655 |
oct | 1046356100 |
9 | 331466827 |
10 | 144301120 |
11 | 744aa627 |
12 | 403ab714 |
13 | 23b84ca2 |
14 | 15243c2c |
15 | ca05d4a |
hex | 899dc40 |
144301120 has 56 divisors (see below), whose sum is σ = 351641664. Its totient is φ = 56372736.
The previous prime is 144301109. The next prime is 144301133. The reversal of 144301120 is 21103441.
144301120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 144301094 and 144301103.
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 7 ways as a sum of consecutive naturals, for example, 8517 + ... + 19003.
Almost surely, 2144301120 is an apocalyptic number.
144301120 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 144301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175820832).
144301120 is an abundant number, since it is smaller than the sum of its proper divisors (207340544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144301120 is a wasteful number, since it uses less digits than its factorization.
144301120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10547 (or 10537 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
The square root of 144301120 is about 12012.5401143971. The cubic root of 144301120 is about 524.5133752375.
Adding to 144301120 its reverse (21103441), we get a palindrome (165404561).
The spelling of 144301120 in words is "one hundred forty-four million, three hundred one thousand, one hundred twenty".
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