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414165403432 = 231119247706581
BaseRepresentation
bin1100000011011100010…
…11101000011100101000
31110121000220021102102101
412001232023220130220
523241202320402212
6514133121543144
741631255562204
oct6015613503450
91417026242371
10414165403432
1114a712633690
12683271a4ab4
13300952b0271
141608d613b04
15ab90300157
hex606e2e8728

414165403432 has 32 divisors (see below), whose sum is σ = 891743695200. Its totient is φ = 178348737600.

The previous prime is 414165403423. The next prime is 414165403499. The reversal of 414165403432 is 234304561414.

It is a junction number, because it is equal to n+sod(n) for n = 414165403391 and 414165403400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123851619 + ... + 123854962.

It is an arithmetic number, because the mean of its divisors is an integer number (27866990475).

Almost surely, 2414165403432 is an apocalyptic number.

It is an amenable number.

414165403432 is an abundant number, since it is smaller than the sum of its proper divisors (477578291768).

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

414165403432 is a wasteful number, since it uses less digits than its factorization.

414165403432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247706617 (or 247706613 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 414165403432 its reverse (234304561414), we get a palindrome (648469964846).

The spelling of 414165403432 in words is "four hundred fourteen billion, one hundred sixty-five million, four hundred three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1672 247706581 495413162 990826324 1981652648 2724772391 4706425039 5449544782 9412850078 10899089564 18825700156 21798179128 37651400312 51770675429 103541350858 207082701716 414165403432