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414051130143 = 32746491413689
BaseRepresentation
bin1100000011001110101…
…11101101101100011111
31110120201221020201221100
412001213113231230133
523240434042131033
6514113520404143
741625400352010
oct6014727555437
91416657221840
10414051130143
1114a664083452
12682b4a76653
133007770cb31
141607c389007
15ab8527b513
hex60675edb1f

414051130143 has 24 divisors (see below), whose sum is σ = 683660484000. Its totient is φ = 236549585664.

The previous prime is 414051130067. The next prime is 414051130153. The reversal of 414051130143 is 341031150414.

414051130143 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 511 + 3 + 0 + 143 = 666.

It is not a de Polignac number, because 414051130143 - 29 = 414051129631 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414051130153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413958 + ... + 999731.

It is an arithmetic number, because the mean of its divisors is an integer number (28485853500).

Almost surely, 2414051130143 is an apocalyptic number.

414051130143 is a deficient number, since it is larger than the sum of its proper divisors (269609353857).

414051130143 is a wasteful number, since it uses less digits than its factorization.

414051130143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418351 (or 1418348 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 414051130143 its reverse (341031150414), we get a palindrome (755082280557).

The spelling of 414051130143 in words is "four hundred fourteen billion, fifty-one million, one hundred thirty thousand, one hundred forty-three".

Divisors: 1 3 7 9 21 63 4649 13947 32543 41841 97629 292887 1413689 4241067 9895823 12723201 29687469 89062407 6572240161 19716720483 46005681127 59150161449 138017043381 414051130143