Search a number
-
+
11414232333 = 3272233121171
BaseRepresentation
bin10101010000101011…
…10101110100001101
31002110110220002011200
422220111311310031
5141334020413313
65124342340113
7552566242200
oct125025656415
932413802150
1011414232333
114928044769
12226672a639
1310cb9b003a
147a3cdb937
1546c114b73
hex2a8575d0d

11414232333 has 108 divisors (see below), whose sum is σ = 20696948064. Its totient is φ = 6032426400.

The previous prime is 11414232299. The next prime is 11414232341. The reversal of 11414232333 is 33323241411.

It is a happy number.

11414232333 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 423 + 233 + 3 = 666.

11414232333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11414232333 - 28 = 11414232077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11414232297 and 11414232306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11414232353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9746838 + ... + 9748008.

It is an arithmetic number, because the mean of its divisors is an integer number (191638408).

Almost surely, 211414232333 is an apocalyptic number.

It is an amenable number.

11414232333 is a deficient number, since it is larger than the sum of its proper divisors (9282715731).

11414232333 is a wasteful number, since it uses less digits than its factorization.

11414232333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1235 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 11414232333 its reverse (33323241411), we get a palindrome (44737473744).

The spelling of 11414232333 in words is "eleven billion, four hundred fourteen million, two hundred thirty-two thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 23 31 49 63 69 93 147 161 207 217 279 441 483 651 713 961 1127 1171 1449 1519 1953 2139 2883 3381 3513 4557 4991 6417 6727 8197 8649 10143 10539 13671 14973 20181 22103 24591 26933 34937 36301 44919 47089 57379 60543 66309 73773 80799 104811 108903 141267 154721 172137 188531 198927 242397 254107 314433 326709 423801 464163 516411 565593 762321 834923 1083047 1125331 1319717 1392489 1696779 1778749 2286963 2504769 3249141 3375993 3959151 5336247 5844461 7514307 7877317 9747423 10127979 11877453 16008741 17533383 23631951 25882613 40911227 52600149 55141219 70895853 77647839 122733681 165423657 181178291 232943517 368201043 496270971 543534873 1268248037 1630604619 3804744111 11414232333