Base | Representation |
---|---|
bin | 10001001010101… |
… | …01010000110000 |
3 | 101000222011112211 |
4 | 20211111100300 |
5 | 243331113034 |
6 | 22142301504 |
7 | 3366005104 |
oct | 1045252060 |
9 | 330864484 |
10 | 144004144 |
11 | 74317499 |
12 | 40287894 |
13 | 23aaca6b |
14 | 151a7904 |
15 | c997d64 |
hex | 8955430 |
144004144 has 40 divisors (see below), whose sum is σ = 296485488. Its totient is φ = 67522560.
The previous prime is 144004141. The next prime is 144004153. The reversal of 144004144 is 441400441.
It is a happy number.
144004144 is a modest number, since divided by 4144 gives 144 as remainder.
It is not an unprimeable number, because it can be changed into a prime (144004141) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90879 + ... + 92449.
Almost surely, 2144004144 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 144004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148242744).
144004144 is an abundant number, since it is smaller than the sum of its proper divisors (152481344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144004144 is a wasteful number, since it uses less digits than its factorization.
144004144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1933 (or 1927 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 22.
The square root of 144004144 is about 12000.1726654244. The cubic root of 144004144 is about 524.1533067344.
Adding to 144004144 its reverse (441400441), we get a palindrome (585404585).
The spelling of 144004144 in words is "one hundred forty-four million, four thousand, one hundred forty-four".
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