Base | Representation |
---|---|
bin | 1000011001101100000… |
… | …0001010110010100001 |
3 | 111210112220200220122002 |
4 | 2012123000022302201 |
5 | 4331044103332231 |
6 | 150150055453345 |
7 | 13266512304332 |
oct | 2063300126241 |
9 | 453486626562 |
10 | 144334433441 |
11 | 56237030140 |
12 | 23b81387255 |
13 | 107c2879403 |
14 | 6db315a289 |
15 | 3b4b5080cb |
hex | 219b00aca1 |
144334433441 has 32 divisors (see below), whose sum is σ = 167155228800. Its totient is φ = 123401940480.
The previous prime is 144334433431. The next prime is 144334433449.
144334433441 is nontrivially palindromic in base 10.
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-144334433441 is a prime.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 144334433395 and 144334433404.
It is not an unprimeable number, because it can be changed into a prime (144334433449) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2319365 + ... + 2380781.
It is an arithmetic number, because the mean of its divisors is an integer number (5223600900).
Almost surely, 2144334433441 is an apocalyptic number.
144334433441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
144334433441 is a deficient number, since it is larger than the sum of its proper divisors (22820795359).
144334433441 is a wasteful number, since it uses less digits than its factorization.
144334433441 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 61649.
The product of its digits is 331776, while the sum is 38.
It can be divided in two parts, 144334 and 433441, that added together give a palindrome (577775).
The spelling of 144334433441 in words is "one hundred forty-four billion, three hundred thirty-four million, four hundred thirty-three thousand, four hundred forty-one".
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