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14264322346241 = 1117228571157049
BaseRepresentation
bin1100111110010010101111…
…0111011100110100000001
31212111122201011001101100222
43033210223313130310001
53332201313010034431
650200534512152425
73001364130255602
oct317445367346401
955448634041328
1014264322346241
1145aa513104620
121724630838715
137c6173344b16
1437457b0a5da9
1519b0ab2c057b
hexcf92bddcd01

14264322346241 has 24 divisors (see below), whose sum is σ = 16530964898400. Its totient is φ = 12204262899200.

The previous prime is 14264322346229. The next prime is 14264322346273.

14264322346241 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-14264322346241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14264322346192 and 14264322346201.

It is not an unprimeable number, because it can be changed into a prime (14264322346441) 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, 90748685 + ... + 90905733.

It is an arithmetic number, because the mean of its divisors is an integer number (688790204100).

Almost surely, 214264322346241 is an apocalyptic number.

14264322346241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14264322346241 is a deficient number, since it is larger than the sum of its proper divisors (2266642552159).

14264322346241 is a wasteful number, since it uses less digits than its factorization.

14264322346241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185665 (or 185648 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 44.

The spelling of 14264322346241 in words is "fourteen trillion, two hundred sixty-four billion, three hundred twenty-two million, three hundred forty-six thousand, two hundred forty-one".

Divisors: 1 11 17 187 289 3179 28571 157049 314281 485707 1727539 2669833 5342777 8257019 29368163 45387161 90827209 499258771 4487046979 49357516769 76279798643 839077785073 1296756576931 14264322346241