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414101789713 is a prime number
BaseRepresentation
bin1100000011010100110…
…00111101110000010001
31110120212110120111210201
412001222120331300101
523241040024232323
6514122530255201
741626554064363
oct6015230756021
91416773514721
10414101789713
1114a68a734767
1268309a27501
1330085069501
1416084db4d33
15ab899368ad
hex606a63dc11

414101789713 has 2 divisors, whose sum is σ = 414101789714. Its totient is φ = 414101789712.

The previous prime is 414101789707. The next prime is 414101789723. The reversal of 414101789713 is 317987101414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 356524827409 + 57576962304 = 597097^2 + 239952^2 .

It is a cyclic number.

It is not a de Polignac number, because 414101789713 - 25 = 414101789681 is a prime.

It is not a weakly prime, because it can be changed into another prime (414101789723) 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 as a sum of consecutive naturals, namely, 207050894856 + 207050894857.

It is an arithmetic number, because the mean of its divisors is an integer number (207050894857).

Almost surely, 2414101789713 is an apocalyptic number.

It is an amenable number.

414101789713 is a deficient number, since it is larger than the sum of its proper divisors (1).

414101789713 is an equidigital number, since it uses as much as digits as its factorization.

414101789713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 169344, while the sum is 46.

The spelling of 414101789713 in words is "four hundred fourteen billion, one hundred one million, seven hundred eighty-nine thousand, seven hundred thirteen".