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34434242112114 = 23213211319606217
BaseRepresentation
bin1111101010001010110001…
…10001001110101001110010
311111220212210112112100121200
413311011120301032221302
514003132311440041424
6201122512240432030
710152535422426105
oct765053061165162
9144825715470550
1034434242112114
11aa76530a78729
123a41706018616
13162a19aa6cb00
148708aa47273c
153eaaa89038c9
hex1f5158c4ea72

34434242112114 has 36 divisors (see below), whose sum is σ = 80788029577866. Its totient is φ = 10595151418176.

The previous prime is 34434242112059. The next prime is 34434242112139. The reversal of 34434242112114 is 41121124243443.

34434242112114 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 424 + 2 + 11 + 211 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 12865973564889 + 21568268547225 = 3586917^2 + 4644165^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5659800067 + ... + 5659806150.

Almost surely, 234434242112114 is an apocalyptic number.

34434242112114 is an abundant number, since it is smaller than the sum of its proper divisors (46353787465752).

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

34434242112114 is a wasteful number, since it uses less digits than its factorization.

34434242112114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11319606251 (or 11319606235 counting only the distinct ones).

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

Adding to 34434242112114 its reverse (41121124243443), we get a palindrome (75555366355557).

The spelling of 34434242112114 in words is "thirty-four trillion, four hundred thirty-four billion, two hundred forty-two million, one hundred twelve thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 11319606217 22639212434 33958818651 67917637302 101876455953 147154880821 203752911906 294309761642 441464642463 882929284926 1324393927389 1913013450673 2648787854778 3826026901346 5739040352019 11478080704038 17217121056057 34434242112114