Base | Representation |
---|---|
bin | 100000101111101001001000… |
… | …001010010111000101101001 |
3 | 200212220100202112200101121100 |
4 | 200233221020022113011221 |
5 | 122333440434303013231 |
6 | 1230141541524432013 |
7 | 42222325221443544 |
oct | 4057511012270551 |
9 | 625810675611540 |
10 | 144011464110441 |
11 | 41982a12134754 |
12 | 1419a477b48609 |
13 | 62482b8630c25 |
14 | 277c298dcd85b |
15 | 119b106b601e6 |
hex | 82fa48297169 |
144011464110441 has 24 divisors (see below), whose sum is σ = 213126631361280. Its totient is φ = 93649950072000.
The previous prime is 144011464110373. The next prime is 144011464110497.
144011464110441 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 1 + 1 + 4 + 641 + 1 + 0 + 4 + 4 + 1 = 666.
144011464110441 is nontrivially palindromic in base 10.
It is not a de Polignac number, because 144011464110441 - 231 = 144009316626793 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 144011464110396 and 144011464110405.
It is not an unprimeable number, because it can be changed into a prime (144011464112441) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31265085 + ... + 35574266.
It is an arithmetic number, because the mean of its divisors is an integer number (8880276306720).
Almost surely, 2144011464110441 is an apocalyptic number.
It is an amenable number.
144011464110441 is a deficient number, since it is larger than the sum of its proper divisors (69115167250839).
144011464110441 is a wasteful number, since it uses less digits than its factorization.
144011464110441 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 66845237 (or 66845234 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 36.
The spelling of 144011464110441 in words is "one hundred forty-four trillion, eleven billion, four hundred sixty-four million, one hundred ten thousand, four hundred forty-one".
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