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233340413333 = 8910924053233
BaseRepresentation
bin1101100101010000101…
…1000010010110010101
3211022021220011011111212
43121110023002112111
512310340121211313
6255110050511205
722600251534146
oct3312413022625
9738256134455
10233340413333
118aa60642205
1239281295505
13190087762c1
14b418025acd
15610a4853a8
hex36542c2595

233340413333 has 8 divisors (see below), whose sum is σ = 238127016600. Its totient is φ = 228601916928.

The previous prime is 233340413261. The next prime is 233340413357. The reversal of 233340413333 is 333314043332.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34604556529 + 198735856804 = 186023^2 + 445798^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 233340413333 - 28 = 233340413077 is a prime.

It is a super-4 number, since 4×2333404133334 (a number of 47 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 233340413333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233340413393) 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 7 ways as a sum of consecutive naturals, for example, 12016916 + ... + 12036317.

It is an arithmetic number, because the mean of its divisors is an integer number (29765877075).

Almost surely, 2233340413333 is an apocalyptic number.

It is an amenable number.

233340413333 is a deficient number, since it is larger than the sum of its proper divisors (4786603267).

233340413333 is a wasteful number, since it uses less digits than its factorization.

233340413333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24053431.

The product of its (nonzero) digits is 69984, while the sum is 32.

Adding to 233340413333 its reverse (333314043332), we get a palindrome (566654456665).

The spelling of 233340413333 in words is "two hundred thirty-three billion, three hundred forty million, four hundred thirteen thousand, three hundred thirty-three".

Divisors: 1 89 109 9701 24053233 2140737737 2621802397 233340413333