Base | Representation |
---|---|
bin | 100000110000000111011101… |
… | …111101010011101111010000 |
3 | 200220000110211221210210200221 |
4 | 200300013131331103233100 |
5 | 122340004144230323240 |
6 | 1230204530330522424 |
7 | 42224560433342020 |
oct | 4060073575235720 |
9 | 626013757723627 |
10 | 144044042042320 |
11 | 4199580a5700a2 |
12 | 141a484a296414 |
13 | 624b3aab103b4 |
14 | 277daa9973a80 |
15 | 119bdb1c5aa4a |
hex | 8301ddf53bd0 |
144044042042320 has 160 divisors (see below), whose sum is σ = 393116749417728. Its totient is φ = 48048496717824.
The previous prime is 144044042042287. The next prime is 144044042042359. The reversal of 144044042042320 is 23240240440441.
144044042042320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315275164 + ... + 315731716.
Almost surely, 2144044042042320 is an apocalyptic number.
144044042042320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 144044042042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196558374708864).
144044042042320 is an abundant number, since it is smaller than the sum of its proper divisors (249072707375408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144044042042320 is a wasteful number, since it uses less digits than its factorization.
144044042042320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 471837 (or 471831 counting only the distinct ones).
The product of its (nonzero) digits is 98304, while the sum is 34.
Adding to 144044042042320 its reverse (23240240440441), we get a palindrome (167284282482761).
The spelling of 144044042042320 in words is "one hundred forty-four trillion, forty-four billion, forty-two million, forty-two thousand, three hundred twenty".
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