Base | Representation |
---|---|
bin | 10001001010101… |
… | …00010000010100 |
3 | 101000221221220002 |
4 | 20211110100110 |
5 | 243331000040 |
6 | 22142230432 |
7 | 3365660063 |
oct | 1045242024 |
9 | 330857802 |
10 | 144000020 |
11 | 7431438a |
12 | 40285418 |
13 | 23aaac18 |
14 | 151a61da |
15 | c996a15 |
hex | 8954414 |
144000020 has 48 divisors (see below), whose sum is σ = 308206080. Its totient is φ = 56505216.
The previous prime is 144000001. The next prime is 144000023. The reversal of 144000020 is 20000441.
It is a junction number, because it is equal to n+sod(n) for n = 143999965 and 144000010.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144000023) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369986 + ... + 370374.
It is an arithmetic number, because the mean of its divisors is an integer number (6420960).
Almost surely, 2144000020 is an apocalyptic number.
144000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
144000020 is an abundant number, since it is smaller than the sum of its proper divisors (164206060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144000020 is a wasteful number, since it uses less digits than its factorization.
144000020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 704 (or 702 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 11.
The square root of 144000020 is about 12000.0008333333. Note that the first 3 decimals coincide. The cubic root of 144000020 is about 524.1483031079.
Adding to 144000020 its reverse (20000441), we get a palindrome (164000461).
The spelling of 144000020 in words is "one hundred forty-four million, twenty", and thus it is an aban number.
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