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14242522524241 = 112891322548289
BaseRepresentation
bin1100111101000001100001…
…1111101110101001010001
31212102120102212211200111011
43033100120133232221101
53331322141231233431
650142531410250521
72666662661655334
oct317203037565121
955376385750434
1014242522524241
1145a1246732700
121720367b86a41
137c40aab1016b
143734adb5261b
1519a732533cb1
hexcf4187eea51

14242522524241 has 12 divisors (see below), whose sum is σ = 15830903031300. Its totient is φ = 12802267427840.

The previous prime is 14242522524239. The next prime is 14242522524259.

14242522524241 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 4264757786641 + 9977764737600 = 2065129^2 + 3158760^2 .

It is not a de Polignac number, because 14242522524241 - 21 = 14242522524239 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14242522524194 and 14242522524203.

It is not an unprimeable number, because it can be changed into a prime (14242522524211) 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 11 ways as a sum of consecutive naturals, for example, 661263376 + ... + 661284913.

It is an arithmetic number, because the mean of its divisors is an integer number (1319241919275).

Almost surely, 214242522524241 is an apocalyptic number.

14242522524241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14242522524241 is a deficient number, since it is larger than the sum of its proper divisors (1588380507059).

14242522524241 is a wasteful number, since it uses less digits than its factorization.

14242522524241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322548400 (or 1322548389 counting only the distinct ones).

The product of its digits is 409600, while the sum is 40.

It can be divided in two parts, 1424252 and 2524241, that added together give a palindrome (3948493).

The spelling of 14242522524241 in words is "fourteen trillion, two hundred forty-two billion, five hundred twenty-two million, five hundred twenty-four thousand, two hundred forty-one".

Divisors: 1 11 89 121 979 10769 1322548289 14548031179 117706797721 160028342969 1294774774931 14242522524241