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14235200253241 = 114679672865679
BaseRepresentation
bin1100111100100110010000…
…0011011110110100111001
31212101212112120200202222221
43033021210003132310321
53331212142231100431
650135321040444041
72666313350461432
oct317114403366471
955355476622887
1014235200253241
114599129483070
12171aa63919621
137c34b1b0c426
14372db74a6489
1519a4547ac111
hexcf2640ded39

14235200253241 has 16 divisors (see below), whose sum is σ = 15578661795840. Its totient is φ = 12900021457680.

The previous prime is 14235200253179. The next prime is 14235200253247.

14235200253241 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14235200253241 - 223 = 14235191864633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14235200253197 and 14235200253206.

It is not an unprimeable number, because it can be changed into a prime (14235200253247) 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 15 ways as a sum of consecutive naturals, for example, 3534640 + ... + 6400318.

It is an arithmetic number, because the mean of its divisors is an integer number (973666362240).

Almost surely, 214235200253241 is an apocalyptic number.

14235200253241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14235200253241 is a deficient number, since it is larger than the sum of its proper divisors (1343461542599).

14235200253241 is a wasteful number, since it uses less digits than its factorization.

14235200253241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867124.

The product of its (nonzero) digits is 57600, while the sum is 34.

It can be divided in two parts, 14235200 and 253241, that added together give a palindrome (14488441).

The spelling of 14235200253241 in words is "fourteen trillion, two hundred thirty-five billion, two hundred million, two hundred fifty-three thousand, two hundred forty-one".

Divisors: 1 11 467 967 5137 10637 451589 2865679 4967479 31522469 1338272093 2771111593 14720993023 30482227523 1294109113931 14235200253241