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414321330013 = 4129437343289
BaseRepresentation
bin1100000011101110111…
…10011100011101011101
31110121102202200022110221
412001313132130131131
523242012230030023
6514200412001341
741635161124513
oct6016736343535
91417382608427
10414321330013
1114a792653628
126836b460251
13300bb6a5906
14160a62024b3
15ab9dd5085d
hex607779c75d

414321330013 has 8 divisors (see below), whose sum is σ = 424442382840. Its totient is φ = 404201022720.

The previous prime is 414321330001. The next prime is 414321330043. The reversal of 414321330013 is 310033123414.

It can be written as a sum of positive squares in 4 ways, for example, as 160671102244 + 253650227769 = 400838^2 + 503637^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-414321330013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414321330013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414321330043) 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 7 ways as a sum of consecutive naturals, for example, 1035273 + ... + 1378561.

It is an arithmetic number, because the mean of its divisors is an integer number (53055297855).

Almost surely, 2414321330013 is an apocalyptic number.

It is an amenable number.

414321330013 is a deficient number, since it is larger than the sum of its proper divisors (10121052827).

414321330013 is a wasteful number, since it uses less digits than its factorization.

414321330013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372767.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 414321330013 its reverse (310033123414), we get a palindrome (724354453427).

The spelling of 414321330013 in words is "four hundred fourteen billion, three hundred twenty-one million, three hundred thirty thousand, thirteen".

Divisors: 1 41 29437 343289 1206917 14074849 10105398293 414321330013