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42312040013 = 3719734916633
BaseRepresentation
bin100111011001111111…
…100111111001001101
311001012210120100011002
4213121333213321031
51143123340240023
631234325510045
73025350256145
oct473177477115
9131183510132
1042312040013
1116a43052a11
12824a272325
133cb4081989
142095691925
151179985b28
hex9d9fe7e4d

42312040013 has 16 divisors (see below), whose sum is σ = 43803975600. Its totient is φ = 40839676416.

The previous prime is 42312040007. The next prime is 42312040073. The reversal of 42312040013 is 31004021324.

It can be written as a sum of positive squares in 8 ways, for example, as 8715716164 + 33596323849 = 93358^2 + 183293^2 .

It is a cyclic number.

It is not a de Polignac number, because 42312040013 - 216 = 42311974477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42312040073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2535545 + ... + 2552177.

It is an arithmetic number, because the mean of its divisors is an integer number (2737748475).

Almost surely, 242312040013 is an apocalyptic number.

It is an amenable number.

42312040013 is a deficient number, since it is larger than the sum of its proper divisors (1491935587).

42312040013 is a wasteful number, since it uses less digits than its factorization.

42312040013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17216.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 42312040013 its reverse (31004021324), we get a palindrome (73316061337).

The spelling of 42312040013 in words is "forty-two billion, three hundred twelve million, forty thousand, thirteen".

Divisors: 1 37 197 349 7289 12913 16633 68753 615421 2543861 3276701 5804917 121237937 214781929 1143568649 42312040013