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40331412409097 is a prime number
BaseRepresentation
bin10010010101110011000111…
…00000101000101100001001
312021210122102110211202110202
421022321203200220230021
520241242213034042342
6221435554534221545
711331563666042615
oct1112714340505411
9167718373752422
1040331412409097
111193a50195a247
1246345b84b48b5
13196730b293194
149d609d488345
1549e1a4eeb332
hex24ae63828b09

40331412409097 has 2 divisors, whose sum is σ = 40331412409098. Its totient is φ = 40331412409096.

The previous prime is 40331412409051. The next prime is 40331412409117. The reversal of 40331412409097 is 79090421413304.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23092839861001 + 17238572548096 = 4805501^2 + 4151936^2 .

It is a cyclic number.

It is not a de Polignac number, because 40331412409097 - 222 = 40331408214793 is a prime.

It is not a weakly prime, because it can be changed into another prime (40331412409997) by changing a digit.

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 as a sum of consecutive naturals, namely, 20165706204548 + 20165706204549.

It is an arithmetic number, because the mean of its divisors is an integer number (20165706204549).

Almost surely, 240331412409097 is an apocalyptic number.

It is an amenable number.

40331412409097 is a deficient number, since it is larger than the sum of its proper divisors (1).

40331412409097 is an equidigital number, since it uses as much as digits as its factorization.

40331412409097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 653184, while the sum is 47.

The spelling of 40331412409097 in words is "forty trillion, three hundred thirty-one billion, four hundred twelve million, four hundred nine thousand, ninety-seven".