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414041244050 = 252710211115853
BaseRepresentation
bin1100000011001101100…
…10000000000110010010
31110120201020122110202202
412001212302000012102
523240424024302200
6514112524443202
741625220335410
oct6014662000622
91416636573682
10414041244050
1114a659540925
12682b16a9502
133007565b085
141607ad342b0
15ab844771d5
hex6066c80192

414041244050 has 48 divisors (see below), whose sum is σ = 880227179712. Its totient is φ = 141941870400.

The previous prime is 414041244011. The next prime is 414041244103. The reversal of 414041244050 is 50442140414.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3515924 + ... + 3631776.

It is an arithmetic number, because the mean of its divisors is an integer number (18338066244).

Almost surely, 2414041244050 is an apocalyptic number.

414041244050 is an abundant number, since it is smaller than the sum of its proper divisors (466185935662).

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

414041244050 is a wasteful number, since it uses less digits than its factorization.

414041244050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126083 (or 126078 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 414041244050 its reverse (50442140414), we get a palindrome (464483384464).

The spelling of 414041244050 in words is "four hundred fourteen billion, forty-one million, two hundred forty-four thousand, fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 175 350 10211 20422 51055 71477 102110 115853 142954 231706 255275 357385 510550 579265 714770 810971 1158530 1621942 1786925 2896325 3573850 4054855 5792650 8109710 20274275 40548550 1182974983 2365949966 5914874915 8280824881 11829749830 16561649762 29574374575 41404124405 59148749150 82808248810 207020622025 414041244050