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44131424340114 = 2333833213213827
BaseRepresentation
bin10100000100011001001011…
…10111110000100010010010
312210020220220211200221012000
422002030211313300202102
521241022124112340424
6233505410234014430
712203250556363236
oct1202144567604222
9183226824627160
1044131424340114
1113075039599661
124b48b70877416
131b81763389207
14ac7d881305c6
15517e5dadc3c9
hex282325df0892

44131424340114 has 32 divisors (see below), whose sum is σ = 98095417986240. Its totient is φ = 14706636862176.

The previous prime is 44131424340079. The next prime is 44131424340173. The reversal of 44131424340114 is 41104342413144.

44131424340114 is a `hidden beast` number, since 4 + 4 + 1 + 3 + 1 + 4 + 243 + 401 + 1 + 4 = 666.

It is a super-2 number, since 2×441314243401142 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 106399932 + ... + 106813895.

It is an arithmetic number, because the mean of its divisors is an integer number (3065481812070).

Almost surely, 244131424340114 is an apocalyptic number.

44131424340114 is an abundant number, since it is smaller than the sum of its proper divisors (53963993646126).

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

44131424340114 is a wasteful number, since it uses less digits than its factorization.

44131424340114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213217671 (or 213217665 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 44131424340114 its reverse (41104342413144), we get a palindrome (85235766753258).

The spelling of 44131424340114 in words is "forty-four trillion, one hundred thirty-one billion, four hundred twenty-four million, three hundred forty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 3833 7666 11499 22998 34497 68994 103491 206982 213213827 426427654 639641481 1279282962 1918924443 3837848886 5756773329 11513546658 817248598891 1634497197782 2451745796673 4903491593346 7355237390019 14710474780038 22065712170057 44131424340114