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41214312333 = 3273269233201
BaseRepresentation
bin100110011000100100…
…000111111110001101
310221101021222222212100
4212120210013332031
51133401330443313
630533353425313
72656220605665
oct463044077615
9127337888770
1041214312333
111652a44a957
127ba270b239
133b6a81837c
141dcd9851a5
1511133ed173
hex998907f8d

41214312333 has 24 divisors (see below), whose sum is σ = 60571887480. Its totient is φ = 26998963200.

The previous prime is 41214312317. The next prime is 41214312341. The reversal of 41214312333 is 33321341214.

It is a happy number.

41214312333 is a `hidden beast` number, since 4 + 1 + 2 + 14 + 312 + 333 = 666.

41214312333 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 4 ways, for example, as 709529769 + 40504782564 = 26637^2 + 201258^2 .

It is not a de Polignac number, because 41214312333 - 24 = 41214312317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41214312297 and 41214312306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41214312533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60133 + ... + 293333.

It is an arithmetic number, because the mean of its divisors is an integer number (2523828645).

Almost surely, 241214312333 is an apocalyptic number.

It is an amenable number.

41214312333 is a deficient number, since it is larger than the sum of its proper divisors (19357575147).

41214312333 is a wasteful number, since it uses less digits than its factorization.

41214312333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233549 (or 233546 counting only the distinct ones).

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

Adding to 41214312333 its reverse (33321341214), we get a palindrome (74535653547).

The spelling of 41214312333 in words is "forty-one billion, two hundred fourteen million, three hundred twelve thousand, three hundred thirty-three".

Divisors: 1 3 9 73 219 269 657 807 2421 19637 58911 176733 233201 699603 2098809 17023673 51071019 62731069 153213057 188193207 564579621 4579368037 13738104111 41214312333