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14460233206441 = 112117098787269
BaseRepresentation
bin1101001001101100100100…
…0100000100101010101001
31220012101101111220020121011
43102123021010010222221
53343404024200101231
650430534525543521
73021501026145331
oct322331104045251
956171344806534
1014460233206441
114675606738540
1217565a6a14ba1
1380b795432039
1437dc4406c0c1
151a12257629b1
hexd26c9104aa9

14460233206441 has 16 divisors (see below), whose sum is σ = 15871918564800. Its totient is φ = 13064910062400.

The previous prime is 14460233206411. The next prime is 14460233206537.

14460233206441 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14460233206441 - 223 = 14460224817833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14460233206394 and 14460233206403.

It is not an unprimeable number, because it can be changed into a prime (14460233206411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2748046 + ... + 6039223.

It is an arithmetic number, because the mean of its divisors is an integer number (991994910300).

Almost surely, 214460233206441 is an apocalyptic number.

14460233206441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14460233206441 is a deficient number, since it is larger than the sum of its proper divisors (1411685358359).

14460233206441 is a wasteful number, since it uses less digits than its factorization.

14460233206441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8788200.

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 14460233206441 in words is "fourteen trillion, four hundred sixty billion, two hundred thirty-three million, two hundred six thousand, four hundred forty-one".

Divisors: 1 11 211 709 2321 7799 149599 1645589 8787269 96659959 1854113759 6230173721 20395251349 68531910931 1314566655131 14460233206441