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34413323141 is a prime number
BaseRepresentation
bin100000000011001100…
…011010001110000101
310021211022201221120202
4200003030122032011
51030434302320031
623450444540245
72325536264111
oct400314321605
9107738657522
1034413323141
111365a47302a
126804b51685
133325811402
141946630741
15d662e52cb
hex80331a385

34413323141 has 2 divisors, whose sum is σ = 34413323142. Its totient is φ = 34413323140.

The previous prime is 34413323129. The next prime is 34413323167. The reversal of 34413323141 is 14132331443.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33397562500 + 1015760641 = 182750^2 + 31871^2 .

It is an emirp because it is prime and its reverse (14132331443) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34413323141 - 210 = 34413322117 is a prime.

It is a super-2 number, since 2×344133231412 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34413323171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17206661570 + 17206661571.

It is an arithmetic number, because the mean of its divisors is an integer number (17206661571).

Almost surely, 234413323141 is an apocalyptic number.

It is an amenable number.

34413323141 is a deficient number, since it is larger than the sum of its proper divisors (1).

34413323141 is an equidigital number, since it uses as much as digits as its factorization.

34413323141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368, while the sum is 29.

Adding to 34413323141 its reverse (14132331443), we get a palindrome (48545654584).

The spelling of 34413323141 in words is "thirty-four billion, four hundred thirteen million, three hundred twenty-three thousand, one hundred forty-one".