Base | Representation |
---|---|
bin | 10001001010101… |
… | …00010110001100 |
3 | 101000221222102000 |
4 | 20211110112030 |
5 | 243331003041 |
6 | 22142232300 |
7 | 3365661141 |
oct | 1045242614 |
9 | 330858360 |
10 | 144000396 |
11 | 743146a1 |
12 | 40285690 |
13 | 23aab147 |
14 | 151a63c8 |
15 | c996bb6 |
hex | 895458c |
144000396 has 48 divisors (see below), whose sum is σ = 374112480. Its totient is φ = 47900160.
The previous prime is 144000391. The next prime is 144000397. The reversal of 144000396 is 693000441.
It is a super-2 number, since 2×1440003962 = 41472228096313632, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
144000396 is a modest number, since divided by 396 gives 144 as remainder.
It is not an unprimeable number, because it can be changed into a prime (144000391) 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, 65556 + ... + 67716.
It is an arithmetic number, because the mean of its divisors is an integer number (7794010).
Almost surely, 2144000396 is an apocalyptic number.
It is an amenable number.
144000396 is an abundant number, since it is smaller than the sum of its proper divisors (230112084).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144000396 is a wasteful number, since it uses less digits than its factorization.
144000396 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2791 (or 2783 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 27.
The square root of 144000396 is about 12000.0164999887. The cubic root of 144000396 is about 524.1487593106.
The spelling of 144000396 in words is "one hundred forty-four million, three hundred ninety-six", and thus it is an aban number.
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