Base | Representation |
---|---|
bin | 100000110100010011000001… |
… | …101001111100010010100100 |
3 | 200221000221101112210210120021 |
4 | 200310103001221330102210 |
5 | 122404211030440343244 |
6 | 1230544521521044524 |
7 | 42254410622653420 |
oct | 4064230151742244 |
9 | 627027345723507 |
10 | 144331330012324 |
11 | 41a9663409a084 |
12 | 14230466486744 |
13 | 626c503115560 |
14 | 278d9606abb80 |
15 | 11a45c83ec284 |
hex | 8344c1a7c4a4 |
144331330012324 has 96 divisors (see below), whose sum is σ = 318696325178112. Its totient is φ = 55662315264000.
The previous prime is 144331330012279. The next prime is 144331330012333. The reversal of 144331330012324 is 423210033133441.
144331330012324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 144331330012324.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15521304 + ... + 23012464.
It is an arithmetic number, because the mean of its divisors is an integer number (3319753387272).
Almost surely, 2144331330012324 is an apocalyptic number.
144331330012324 is a gapful number since it is divisible by the number (14) 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 144331330012324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159348162589056).
144331330012324 is an abundant number, since it is smaller than the sum of its proper divisors (174364995165788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144331330012324 is a wasteful number, since it uses less digits than its factorization.
144331330012324 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7492517 (or 7492515 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 34.
Adding to 144331330012324 its reverse (423210033133441), we get a palindrome (567541363145765).
The spelling of 144331330012324 in words is "one hundred forty-four trillion, three hundred thirty-one billion, three hundred thirty million, twelve thousand, three hundred twenty-four".
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