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14350352313 = 3112418311617
BaseRepresentation
bin11010101110101100…
…01111111110111001
31101001002201102121010
431113112033332321
5213342142233223
610331545504133
71015420660563
oct152726177671
941032642533
1014350352313
1160a4444100
122945aa2049
13147908953b
149a1c36333
1558ec8b393
hex35758ffb9

14350352313 has 48 divisors (see below), whose sum is σ = 21805777728. Its totient is φ = 8382105600.

The previous prime is 14350352309. The next prime is 14350352329. The reversal of 14350352313 is 31325305341.

It is not a de Polignac number, because 14350352313 - 22 = 14350352309 is a prime.

It is a super-2 number, since 2×143503523132 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14350352353) 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 47 ways as a sum of consecutive naturals, for example, 1229481 + ... + 1241097.

It is an arithmetic number, because the mean of its divisors is an integer number (454287036).

Almost surely, 214350352313 is an apocalyptic number.

It is an amenable number.

14350352313 is a deficient number, since it is larger than the sum of its proper divisors (7455425415).

14350352313 is a wasteful number, since it uses less digits than its factorization.

14350352313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11766 (or 11755 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 14350352313 its reverse (31325305341), we get a palindrome (45675657654).

It can be divided in two parts, 14350 and 352313, that added together give a palindrome (366663).

The spelling of 14350352313 in words is "fourteen billion, three hundred fifty million, three hundred fifty-two thousand, three hundred thirteen".

Divisors: 1 3 11 33 41 83 121 123 249 363 451 913 1353 2739 3403 4961 10043 10209 11617 14883 30129 34851 37433 112299 127787 383361 411763 476297 964211 1235289 1405657 1428891 2892633 4216971 5239267 10606321 15717801 31818963 39532651 57631937 116669531 118597953 172895811 350008593 434859161 1304577483 4783450771 14350352313