Search a number
-
+
40110114053313 = 326195217673597
BaseRepresentation
bin10010001111010110111010…
…00110011001110011000001
312021000111012210221111102100
421013223131012121303001
520224131003144201223
6221150155414341013
711306601006050103
oct1107533506316301
9167014183844370
1040110114053313
1111864670795117
1245b973805a769
13194c4a15b8925
149c94a88ab573
15498551d43043
hex247add199cc1

40110114053313 has 24 divisors (see below), whose sum is σ = 58892808125736. Its totient is φ = 26298948211200.

The previous prime is 40110114053299. The next prime is 40110114053341. The reversal of 40110114053313 is 31335041101104.

40110114053313 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 0 + 114 + 0 + 533 + 13 = 666.

40110114053313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 269186644224 + 39840927409089 = 518832^2 + 6311967^2 .

It is not a de Polignac number, because 40110114053313 - 25 = 40110114053281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40110114013313) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1390231 + ... + 9063827.

It is an arithmetic number, because the mean of its divisors is an integer number (2453867005239).

Almost surely, 240110114053313 is an apocalyptic number.

It is an amenable number.

40110114053313 is a deficient number, since it is larger than the sum of its proper divisors (18782694072423).

40110114053313 is a wasteful number, since it uses less digits than its factorization.

40110114053313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7683185 (or 7683182 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 40110114053313 its reverse (31335041101104), we get a palindrome (71445155154417).

The spelling of 40110114053313 in words is "forty trillion, one hundred ten billion, one hundred fourteen million, fifty-three thousand, three hundred thirteen".

Divisors: 1 3 9 61 183 549 9521 28563 85689 580781 1742343 5227029 7673597 23020791 69062373 468089417 1404268251 4212804753 73060317037 219180951111 657542853333 4456679339257 13370038017771 40110114053313