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414313243361 is a prime number
BaseRepresentation
bin1100000011101101111…
…11100110001011100001
31110121102012110110200022
412001312333212023201
523242003142241421
6514155522403225
741635032314333
oct6016677461341
91417365413608
10414313243361
1114a78902aa46
1268368800515
13300b9b03c04
14160a50d9453
15ab9d2a47ab
hex6076fe62e1

414313243361 has 2 divisors, whose sum is σ = 414313243362. Its totient is φ = 414313243360.

The previous prime is 414313243339. The next prime is 414313243423. The reversal of 414313243361 is 163342313414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 217021812736 + 197291430625 = 465856^2 + 444175^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-414313243361 is a prime.

It is a super-2 number, since 2×4143132433612 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (414315243361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207156621680 + 207156621681.

It is an arithmetic number, because the mean of its divisors is an integer number (207156621681).

Almost surely, 2414313243361 is an apocalyptic number.

It is an amenable number.

414313243361 is a deficient number, since it is larger than the sum of its proper divisors (1).

414313243361 is an equidigital number, since it uses as much as digits as its factorization.

414313243361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 62208, while the sum is 35.

Adding to 414313243361 its reverse (163342313414), we get a palindrome (577655556775).

The spelling of 414313243361 in words is "four hundred fourteen billion, three hundred thirteen million, two hundred forty-three thousand, three hundred sixty-one".