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414041342301 = 3246004593589
BaseRepresentation
bin1100000011001101100…
…10011000000101011101
31110120201020211110112200
412001212302120011131
523240424040423201
6514112530522113
741625221225016
oct6014662300535
91416636743480
10414041342301
1114a6595a8724
12682b1736339
1330075693a02
141607ad5c00d
15ab84496386
hex6066c9815d

414041342301 has 6 divisors (see below), whose sum is σ = 598059716670. Its totient is φ = 276027561528.

The previous prime is 414041342269. The next prime is 414041342311. The reversal of 414041342301 is 103243140414.

414041342301 is a `hidden beast` number, since 4 + 14 + 0 + 4 + 1 + 342 + 301 = 666.

It can be written as a sum of positive squares in only one way, i.e., 344890751076 + 69150591225 = 587274^2 + 262965^2 .

It is not a de Polignac number, because 414041342301 - 25 = 414041342269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414041342311) 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 in 5 ways as a sum of consecutive naturals, for example, 23002296786 + ... + 23002296803.

It is an arithmetic number, because the mean of its divisors is an integer number (99676619445).

Almost surely, 2414041342301 is an apocalyptic number.

It is an amenable number.

414041342301 is a deficient number, since it is larger than the sum of its proper divisors (184018374369).

414041342301 is a wasteful number, since it uses less digits than its factorization.

414041342301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46004593595 (or 46004593592 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 414041342301 its reverse (103243140414), we get a palindrome (517284482715).

The spelling of 414041342301 in words is "four hundred fourteen billion, forty-one million, three hundred forty-two thousand, three hundred one".

Divisors: 1 3 9 46004593589 138013780767 414041342301