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14233435132 = 2272293767679
BaseRepresentation
bin11010100000110000…
…01111101111111100
31100201221201102101011
431100120033233330
5213122224411012
610312211525004
71012501126300
oct152030175774
940657642334
1014233435132
116044448534
1229128b9764
13145aaa1887
149904bdd00
155848941a7
hex35060fbfc

14233435132 has 72 divisors (see below), whose sum is σ = 30784924800. Its totient is φ = 5730431616.

The previous prime is 14233435129. The next prime is 14233435141. The reversal of 14233435132 is 23153433241.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14233435094 and 14233435103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176469 + ... + 244147.

It is an arithmetic number, because the mean of its divisors is an integer number (427568400).

Almost surely, 214233435132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14233435132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15392462400).

14233435132 is an abundant number, since it is smaller than the sum of its proper divisors (16551489668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14233435132 is a wasteful number, since it uses less digits than its factorization.

14233435132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67763 (or 67754 counting only the distinct ones).

The product of its digits is 25920, while the sum is 31.

Adding to 14233435132 its reverse (23153433241), we get a palindrome (37386868373).

The spelling of 14233435132 in words is "fourteen billion, two hundred thirty-three million, four hundred thirty-five thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 37 49 58 74 98 116 148 196 203 259 406 518 812 1036 1073 1421 1813 2146 2842 3626 4292 5684 7252 7511 15022 30044 52577 67679 105154 135358 210308 270716 473753 947506 1895012 1962691 2504123 3316271 3925382 5008246 6632542 7850764 10016492 13265084 13738837 17528861 27477674 35057722 54955348 70115444 72619567 96171859 122702027 145239134 192343718 245404054 290478268 384687436 490808108 508336969 1016673938 2033347876 3558358783 7116717566 14233435132