Base | Representation |
---|---|
bin | 100000110101110100110100… |
… | …111101000111101000001001 |
3 | 200221101222110010110112102000 |
4 | 200311310310331013220021 |
5 | 122412421112432300231 |
6 | 1231105050143301213 |
7 | 42265116146013135 |
oct | 4065646475075011 |
9 | 627358403415360 |
10 | 144436343634441 |
11 | 42027122596731 |
12 | 142488932aa809 |
13 | 627939a542cb1 |
14 | 2794a835383c5 |
15 | 11a71c287e6e6 |
hex | 835d34f47a09 |
144436343634441 has 32 divisors (see below), whose sum is σ = 220478846206080. Its totient is φ = 93383264847168.
The previous prime is 144436343634437. The next prime is 144436343634449.
144436343634441 is a `hidden beast` number, since 1 + 4 + 4 + 43 + 63 + 43 + 63 + 4 + 441 = 666.
144436343634441 is nontrivially palindromic in base 10.
It is not a de Polignac number, because 144436343634441 - 22 = 144436343634437 is a prime.
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (144436343634449) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235167126 + ... + 235780511.
It is an arithmetic number, because the mean of its divisors is an integer number (6889963943940).
Almost surely, 2144436343634441 is an apocalyptic number.
It is an amenable number.
144436343634441 is a deficient number, since it is larger than the sum of its proper divisors (76042502571639).
144436343634441 is a wasteful number, since it uses less digits than its factorization.
144436343634441 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 470947990 (or 470947984 counting only the distinct ones).
The product of its digits is 47775744, while the sum is 54.
The spelling of 144436343634441 in words is "one hundred forty-four trillion, four hundred thirty-six billion, three hundred forty-three million, six hundred thirty-four thousand, four hundred forty-one".
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