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4131414416655 = 34510201023251
BaseRepresentation
bin111100000111101011011…
…111010001110100001111
3112121221220101002202110000
4330013223133101310033
51020142114042313110
612441540125015343
7604325205056151
oct74075337216417
915557811082400
104131414416655
111353139806989
125688423b4553
1323c78aa289a6
14103d665d0ad1
15727030b01c0
hex3c1eb7d1d0f

4131414416655 has 20 divisors (see below), whose sum is σ = 7405942880952. Its totient is φ = 2203421022000.

The previous prime is 4131414416653. The next prime is 4131414416683. The reversal of 4131414416655 is 5566144141314.

4131414416655 is a `hidden beast` number, since 4 + 1 + 3 + 141 + 441 + 6 + 65 + 5 = 666.

4131414416655 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4131414416655 - 21 = 4131414416653 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4131414416655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131414416653) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5100511221 + ... + 5100512030.

Almost surely, 24131414416655 is an apocalyptic number.

4131414416655 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4131414416655 is a deficient number, since it is larger than the sum of its proper divisors (3274528464297).

4131414416655 is a wasteful number, since it uses less digits than its factorization.

4131414416655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10201023268 (or 10201023259 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

Adding to 4131414416655 its reverse (5566144141314), we get a palindrome (9697558557969).

The spelling of 4131414416655 in words is "four trillion, one hundred thirty-one billion, four hundred fourteen million, four hundred sixteen thousand, six hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 10201023251 30603069753 51005116255 91809209259 153015348765 275427627777 459046046295 826282883331 1377138138885 4131414416655