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22144112544141 = 3272912120477583
BaseRepresentation
bin1010000100011110100111…
…11101100100100110001101
32220101221211021111010100200
411002033103331210212031
510400302120302403031
6115032510451044113
74443600515651610
oct502172375444615
986357737433320
1022144112544141
1170682a1265275
1225978165a0639
13c48247444b63
14567ad05c8177
15286044b3b8e6
hex1423d3f6498d

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".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 1827 12120477583 36361432749 84843343081 109084298247 254530029243 351493849907 763590087729 1054481549721 2460456949349 3163444649163 7381370848047 22144112544141