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13141343404305 = 325292029853429
BaseRepresentation
bin1011111100111011010100…
…0110110000000100010001
31201112022002211001102021200
42333032311012300010101
53210301432402414210
643541014432141413
72524300511615334
oct277166506600421
951468084042250
1013141343404305
114207237837426
121582a69397869
137442b99715ac
14336089c3261b
1517bc832be0c0
hexbf3b51b0111

13141343404305 has 12 divisors (see below), whose sum is σ = 22778328567540. Its totient is φ = 7008716482272.

The previous prime is 13141343404303. The next prime is 13141343404331. The reversal of 13141343404305 is 50340434314131.

13141343404305 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 3 + 4 + 340 + 4 + 305 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2270105715969 + 10871237688336 = 1506687^2 + 3297156^2 .

It is not a de Polignac number, because 13141343404305 - 21 = 13141343404303 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13141343404305.

It is not an unprimeable number, because it can be changed into a prime (13141343404303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146014926670 + ... + 146014926759.

It is an arithmetic number, because the mean of its divisors is an integer number (1898194047295).

Almost surely, 213141343404305 is an apocalyptic number.

13141343404305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13141343404305 is a deficient number, since it is larger than the sum of its proper divisors (9636985163235).

13141343404305 is a wasteful number, since it uses less digits than its factorization.

13141343404305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292029853440 (or 292029853437 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 13141343404305 its reverse (50340434314131), we get a palindrome (63481777718436).

The spelling of 13141343404305 in words is "thirteen trillion, one hundred forty-one billion, three hundred forty-three million, four hundred four thousand, three hundred five".

Divisors: 1 3 5 9 15 45 292029853429 876089560287 1460149267145 2628268680861 4380447801435 13141343404305