Search a number
-
+
14335130331 = 332947389531
BaseRepresentation
bin11010101100111000…
…01011101011011011
31101000001002001222000
431112130023223123
5213324243132311
610330243332043
71015144411614
oct152634135333
941001061860
1014335130331
116096897655
122940981023
131475b89b52
1499dbd2c0b
1558d781056
hex35670badb

14335130331 has 32 divisors (see below), whose sum is σ = 22437043200. Its totient is φ = 9030863520.

The previous prime is 14335130311. The next prime is 14335130347. The reversal of 14335130331 is 13303153341.

14335130331 is a `hidden beast` number, since 1 + 4 + 3 + 351 + 303 + 3 + 1 = 666.

It is not a de Polignac number, because 14335130331 - 29 = 14335129819 is a prime.

It is a super-2 number, since 2×143351303312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14335130295 and 14335130304.

It is not an unprimeable number, because it can be changed into a prime (14335130311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157965 + ... + 231566.

It is an arithmetic number, because the mean of its divisors is an integer number (701157600).

Almost surely, 214335130331 is an apocalyptic number.

14335130331 is a deficient number, since it is larger than the sum of its proper divisors (8101912869).

14335130331 is a wasteful number, since it uses less digits than its factorization.

14335130331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389616 (or 389610 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 14335130331 its reverse (13303153341), we get a palindrome (27638283672).

The spelling of 14335130331 in words is "fourteen billion, three hundred thirty-five million, one hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 9 27 29 47 87 141 261 423 783 1269 1363 4089 12267 36801 389531 1168593 3505779 10517337 11296399 18307957 33889197 54923871 101667591 164771613 305002773 494314839 530930753 1592792259 4778376777 14335130331