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412104040034130 = 23257253936312349
BaseRepresentation
bin101110110110011100111001…
…0111010101010111101010010
32000001010202120010000120010200
41131230321302322222331102
5413003403033222043010
64020245552112040030
7152542351166436453
oct13554716272527522
92001122503016120
10412104040034130
1110a344384083a84
123a278635233016
13148c43237479c2
1473a9d28a5d12a
153299b89cbacc0
hex176ce72eaaf52

412104040034130 has 48 divisors (see below), whose sum is σ = 1071472150920600. Its totient is φ = 109894241769984.

The previous prime is 412104040034111. The next prime is 412104040034131. The reversal of 412104040034130 is 31430040401214.

412104040034130 is a `hidden beast` number, since 4 + 1 + 210 + 4 + 0 + 400 + 3 + 41 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 366692358519369 + 45411681514761 = 19149213^2 + 6738819^2 .

It is a junction number, because it is equal to n+sod(n) for n = 412104040034094 and 412104040034103.

It is not an unprimeable number, because it can be changed into a prime (412104040034131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62129196 + ... + 68441544.

Almost surely, 2412104040034130 is an apocalyptic number.

412104040034130 is an abundant number, since it is smaller than the sum of its proper divisors (659368110886470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412104040034130 is a wasteful number, since it uses less digits than its factorization.

412104040034130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7037755 (or 7037752 counting only the distinct ones).

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

Adding to 412104040034130 its reverse (31430040401214), we get a palindrome (443534080435344).

The spelling of 412104040034130 in words is "four hundred twelve trillion, one hundred four billion, forty million, thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 725393 1450786 2176179 3626965 4352358 6312349 6528537 7253930 10880895 12624698 13057074 18937047 21761790 31561745 32642685 37874094 56811141 63123490 65285370 94685235 113622282 189370470 284055705 568111410 4578933778157 9157867556314 13736801334471 22894668890785 27473602668942 41210404003413 45789337781570 68684006672355 82420808006826 137368013344710 206052020017065 412104040034130