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414231144111 = 321971477115817
BaseRepresentation
bin1100000011100100001…
…10011010011010101111
31110121012110222101200100
412001302012122122233
523241321133102421
6514143431002143
741633014426041
oct6016206323257
91417173871610
10414231144111
1114a746755624
1268345209353
13300a5aba185
1416098247a91
15ab95e88c26
hex607219a6af

414231144111 has 24 divisors (see below), whose sum is σ = 601449838704. Its totient is φ = 274716328320.

The previous prime is 414231144071. The next prime is 414231144127. The reversal of 414231144111 is 111441132414.

414231144111 is a `hidden beast` number, since 4 + 1 + 4 + 231 + 14 + 411 + 1 = 666.

It is not a de Polignac number, because 414231144111 - 234 = 397051274927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414231144611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26181075 + ... + 26196891.

It is an arithmetic number, because the mean of its divisors is an integer number (25060409946).

Almost surely, 2414231144111 is an apocalyptic number.

414231144111 is a deficient number, since it is larger than the sum of its proper divisors (187218694593).

414231144111 is a wasteful number, since it uses less digits than its factorization.

414231144111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30791 (or 30788 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 414231144111 its reverse (111441132414), we get a palindrome (525672276525).

The spelling of 414231144111 in words is "four hundred fourteen billion, two hundred thirty-one million, one hundred forty-four thousand, one hundred eleven".

Divisors: 1 3 9 197 591 1773 14771 15817 44313 47451 132939 142353 2909887 3115949 8729661 9347847 26188983 28043541 233632907 700898721 2102696163 46025682679 138077048037 414231144111