Base | Representation |
---|---|
bin | 10001001010101… |
… | …00010011011000 |
3 | 101000221222011100 |
4 | 20211110103120 |
5 | 243331001331 |
6 | 22142231400 |
7 | 3365660463 |
oct | 1045242330 |
9 | 330858140 |
10 | 144000216 |
11 | 74314548 |
12 | 40285560 |
13 | 23aab039 |
14 | 151a62da |
15 | c996ae6 |
hex | 89544d8 |
144000216 has 24 divisors (see below), whose sum is σ = 390000780. Its totient is φ = 48000048.
The previous prime is 144000211. The next prime is 144000223. The reversal of 144000216 is 612000441.
It is a tau number, because it is divible by the number of its divisors (24).
It is a Harshad number since it is a multiple of its sum of digits (18).
144000216 is a modest number, since divided by 216 gives 144 as remainder.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144000211) 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 5 ways as a sum of consecutive naturals, for example, 999930 + ... + 1000073.
Almost surely, 2144000216 is an apocalyptic number.
It is an amenable number.
144000216 is an abundant number, since it is smaller than the sum of its proper divisors (246000564).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144000216 is a wasteful number, since it uses less digits than its factorization.
144000216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2000015 (or 2000008 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 144000216 is about 12000.0089999966. The cubic root of 144000216 is about 524.1485409158.
Adding to 144000216 its reverse (612000441), we get a palindrome (756000657).
The spelling of 144000216 in words is "one hundred forty-four million, two hundred sixteen", and thus it is an aban number.
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