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14133113332 = 22133766111113
BaseRepresentation
bin11010010100110011…
…00011000111110100
31100110221221112201221
431022121203013310
5212421034111312
610254225400124
71010142324022
oct151231430764
940427845657
1014133113332
115aa2857258
1228a5199044
131443077770
14981047712
1557ab79207
hex34a6631f4

14133113332 has 48 divisors (see below), whose sum is σ = 27399210832. Its totient is φ = 6336506880.

The previous prime is 14133113317. The next prime is 14133113341. The reversal of 14133113332 is 23331133141.

14133113332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 403367056 + 13729746276 = 20084^2 + 117174^2 .

It is a super-2 number, since 2×141331133322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14133113297 and 14133113306.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1266208 + ... + 1277320.

Almost surely, 214133113332 is an apocalyptic number.

It is an amenable number.

14133113332 is a deficient number, since it is larger than the sum of its proper divisors (13266097500).

14133113332 is a wasteful number, since it uses less digits than its factorization.

14133113332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11828 (or 11826 counting only the distinct ones).

The product of its digits is 1944, while the sum is 25.

Adding to 14133113332 its reverse (23331133141), we get a palindrome (37464246473).

The spelling of 14133113332 in words is "fourteen billion, one hundred thirty-three million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 13 26 37 52 74 148 481 661 962 1322 1924 2644 8593 11113 17186 22226 24457 34372 44452 48914 97828 144469 288938 317941 411181 577876 635882 822362 1271764 1644724 5345353 7345693 10690706 14691386 21381412 29382772 95494009 190988018 271790641 381976036 543581282 1087162564 3533278333 7066556666 14133113332