Base | Representation |
---|---|
bin | 1000011001101000110… |
… | …1011001010001110001 |
3 | 111210111222122200202010 |
4 | 2012122031121101301 |
5 | 4331032201422231 |
6 | 150144502313133 |
7 | 13266261210555 |
oct | 2063215312161 |
9 | 453458580663 |
10 | 144321123441 |
11 | 5622a56a140 |
12 | 23b78a287a9 |
13 | 107bcb99081 |
14 | 6db1493865 |
15 | 3b4a279546 |
hex | 219a359471 |
144321123441 has 64 divisors (see below), whose sum is σ = 222815158272. Its totient is φ = 82270080000.
The previous prime is 144321123403. The next prime is 144321123469.
It is a happy number.
144321123441 is nontrivially palindromic in base 10.
It is not a de Polignac number, because 144321123441 - 229 = 143784252529 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 144321123399 and 144321123408.
It is not an unprimeable number, because it can be changed into a prime (144321123491) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11360205 + ... + 11372901.
It is an arithmetic number, because the mean of its divisors is an integer number (3481486848).
Almost surely, 2144321123441 is an apocalyptic number.
144321123441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
144321123441 is a deficient number, since it is larger than the sum of its proper divisors (78494034831).
144321123441 is a wasteful number, since it uses less digits than its factorization.
144321123441 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13054.
The product of its digits is 9216, while the sum is 30.
It can be divided in two parts, 144321 and 123441, that added together give a palindrome (267762).
The spelling of 144321123441 in words is "one hundred forty-four billion, three hundred twenty-one million, one hundred twenty-three thousand, four hundred forty-one".
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