Base | Representation |
---|---|
bin | 10001001010101… |
… | …00010000100100 |
3 | 101000221221220200 |
4 | 20211110100210 |
5 | 243331000121 |
6 | 22142230500 |
7 | 3365660115 |
oct | 1045242044 |
9 | 330857820 |
10 | 144000036 |
11 | 743143a4 |
12 | 40285430 |
13 | 23aaac2b |
14 | 151a620c |
15 | c996a26 |
hex | 8954424 |
144000036 has 36 divisors (see below), whose sum is σ = 372881964. Its totient is φ = 46828800.
The previous prime is 144000023. The next prime is 144000037. The reversal of 144000036 is 630000441.
It can be written as a sum of positive squares in 2 ways, for example, as 6969600 + 137030436 = 2640^2 + 11706^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 143999982 and 144000018.
It is not an unprimeable number, because it can be changed into a prime (144000037) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47305 + ... + 50256.
Almost surely, 2144000036 is an apocalyptic number.
It is an amenable number.
144000036 is an abundant number, since it is smaller than the sum of its proper divisors (228881928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144000036 is a wasteful number, since it uses less digits than its factorization.
144000036 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 97612 (or 97607 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 144000036 is about 12000.0014999999. The cubic root of 144000036 is about 524.1483225208.
Adding to 144000036 its reverse (630000441), we get a palindrome (774000477).
It can be divided in two parts, 1440000 and 36, that multiplied together give a square (51840000 = 72002).
The spelling of 144000036 in words is "one hundred forty-four million, thirty-six", and thus it is an aban number.
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