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431442115105 = 5337256048733
BaseRepresentation
bin1100100011100111111…
…01000011101000100001
31112020121221110022101111
412101303331003220201
524032043140140410
6530111325503321
743112352320041
oct6216375035041
91466557408344
10431442115105
11156a7890a8a1
126b749111b41
13318b9709391
1416c4bd63721
15b351e35b8a
hex6473f43a21

431442115105 has 8 divisors (see below), whose sum is σ = 519266832552. Its totient is φ = 344129495808.

The previous prime is 431442115081. The next prime is 431442115109. The reversal of 431442115105 is 501511244134.

It can be written as a sum of positive squares in 4 ways, for example, as 5706744849 + 425735370256 = 75543^2 + 652484^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 431442115105 - 213 = 431442106913 is a prime.

It is a super-3 number, since 3×4314421151053 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (431442115109) 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 7 ways as a sum of consecutive naturals, for example, 128022682 + ... + 128026051.

It is an arithmetic number, because the mean of its divisors is an integer number (64908354069).

Almost surely, 2431442115105 is an apocalyptic number.

It is an amenable number.

431442115105 is a deficient number, since it is larger than the sum of its proper divisors (87824717447).

431442115105 is a wasteful number, since it uses less digits than its factorization.

431442115105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256049075.

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 431442115105 its reverse (501511244134), we get a palindrome (932953359239).

The spelling of 431442115105 in words is "four hundred thirty-one billion, four hundred forty-two million, one hundred fifteen thousand, one hundred five".

Divisors: 1 5 337 1685 256048733 1280243665 86288423021 431442115105