Base | Representation |
---|---|
bin | 10001001101001… |
… | …11100000110000 |
3 | 101001121021200110 |
4 | 20212213200300 |
5 | 243422403130 |
6 | 22153421320 |
7 | 3401610234 |
oct | 1046474060 |
9 | 331537613 |
10 | 144341040 |
11 | 74527618 |
12 | 4040a840 |
13 | 23b9a1cc |
14 | 152545c4 |
15 | ca12ab0 |
hex | 89a7830 |
144341040 has 80 divisors (see below), whose sum is σ = 450971136. Its totient is φ = 38188800.
The previous prime is 144341039. The next prime is 144341047. The reversal of 144341040 is 40143441.
It is a tau number, because it is divible by the number of its divisors (80).
It is a junction number, because it is equal to n+sod(n) for n = 144340998 and 144341016.
It is not an unprimeable number, because it can be changed into a prime (144341047) 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 15 ways as a sum of consecutive naturals, for example, 29145 + ... + 33735.
Almost surely, 2144341040 is an apocalyptic number.
144341040 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 144341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225485568).
144341040 is an abundant number, since it is smaller than the sum of its proper divisors (306630096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144341040 is a wasteful number, since it uses less digits than its factorization.
144341040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4738 (or 4732 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 21.
The square root of 144341040 is about 12014.2015964441. The cubic root of 144341040 is about 524.5617385567.
Adding to 144341040 its reverse (40143441), we get a palindrome (184484481).
The spelling of 144341040 in words is "one hundred forty-four million, three hundred forty-one thousand, forty".
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