Base | Representation |
---|---|
bin | 1010000100011110100111… |
… | …11101100100100110001101 |
3 | 2220101221211021111010100200 |
4 | 11002033103331210212031 |
5 | 10400302120302403031 |
6 | 115032510451044113 |
7 | 4443600515651610 |
oct | 502172375444615 |
9 | 86357737433320 |
10 | 22144112544141 |
11 | 70682a1265275 |
12 | 25978165a0639 |
13 | c48247444b63 |
14 | 567ad05c8177 |
15 | 286044b3b8e6 |
hex | 1423d3f6498d |
22144112544141 has 24 divisors (see below), whose sum is σ = 37815890062080. Its totient is φ = 12217441402656.
The previous prime is 22144112544107. The next prime is 22144112544143. The reversal of 22144112544141 is 14144521144122.
22144112544141 is a `hidden beast` number, since 2 + 2 + 14 + 41 + 125 + 441 + 41 = 666.
It is not a de Polignac number, because 22144112544141 - 29 = 22144112543629 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 22144112544096 and 22144112544105.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22144112544143) 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 23 ways as a sum of consecutive naturals, for example, 6060236965 + ... + 6060240618.
It is an arithmetic number, because the mean of its divisors is an integer number (1575662085920).
Almost surely, 222144112544141 is an apocalyptic number.
22144112544141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.
It is an amenable number.
22144112544141 is a deficient number, since it is larger than the sum of its proper divisors (15671777517939).
22144112544141 is a wasteful number, since it uses less digits than its factorization.
22144112544141 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12120477625 (or 12120477622 counting only the distinct ones).
The product of its digits is 40960, while the sum is 36.
Adding to 22144112544141 its reverse (14144521144122), we get a palindrome (36288633688263).
The spelling of 22144112544141 in words is "twenty-two trillion, one hundred forty-four billion, one hundred twelve million, five hundred forty-four thousand, one hundred forty-one".
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