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413043411312 = 24327409765289
BaseRepresentation
bin1100000001010110100…
…11100100100101110000
31110111010201001022120200
412000223103210211300
523231403103130222
6513425521435200
741561413032150
oct6005323444560
91414121038520
10413043411312
1114a197268374
126807349bb00
132cc469cc4bc
1415dc45cc760
15ab26a72eac
hex602b4e4970

413043411312 has 60 divisors (see below), whose sum is σ = 1321083294960. Its totient is φ = 118012402944.

The previous prime is 413043411191. The next prime is 413043411329. The reversal of 413043411312 is 213114340314.

413043411312 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 4 + 341 + 1 + 312 = 666.

It is a super-2 number, since 2×4130434113122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204881637 + ... + 204883652.

It is an arithmetic number, because the mean of its divisors is an integer number (22018054916).

Almost surely, 2413043411312 is an apocalyptic number.

413043411312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

413043411312 is an abundant number, since it is smaller than the sum of its proper divisors (908039883648).

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

413043411312 is a wasteful number, since it uses less digits than its factorization.

413043411312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409765310 (or 409765301 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 413043411312 its reverse (213114340314), we get a palindrome (626157751626).

The spelling of 413043411312 in words is "four hundred thirteen billion, forty-three million, four hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 409765289 819530578 1229295867 1639061156 2458591734 2868357023 3278122312 3687887601 4917183468 5736714046 6556244624 7375775202 8605071069 9834366936 11473428092 14751550404 17210142138 19668733872 22946856184 25815213207 29503100808 34420284276 45893712368 51630426414 59006201616 68840568552 103260852828 137681137104 206521705656 413043411312