Search a number
-
+
40132641200571 = 3241731987749809
BaseRepresentation
bin10010010000000000110111…
…10100101001100110111011
312021002122100202202010222200
421020000123310221212323
520230013122121404241
6221204403021321243
711311326155460213
oct1110003364514673
9167078322663880
1040132641200571
111187318077a297
124601b84406223
13195165170936a
149ca60466d243
15498e1e89d4b6
hex24801bd299bb

40132641200571 has 48 divisors (see below), whose sum is σ = 60227102601120. Its totient is φ = 25731970928640.

The previous prime is 40132641200537. The next prime is 40132641200591. The reversal of 40132641200571 is 17500214623104.

40132641200571 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 2 + 64 + 1 + 20 + 0 + 571 = 666.

It is not a de Polignac number, because 40132641200571 - 231 = 40130493716923 is a prime.

It is a super-2 number, since 2×401326412005712 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40132641200501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53148915 + ... + 53898723.

It is an arithmetic number, because the mean of its divisors is an integer number (1254731304190).

Almost surely, 240132641200571 is an apocalyptic number.

40132641200571 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

40132641200571 is a deficient number, since it is larger than the sum of its proper divisors (20094461400549).

40132641200571 is a wasteful number, since it uses less digits than its factorization.

40132641200571 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751916 (or 751913 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 40132641200571 its reverse (17500214623104), we get a palindrome (57632855823675).

The spelling of 40132641200571 in words is "forty trillion, one hundred thirty-two billion, six hundred forty-one million, two hundred thousand, five hundred seventy-one".

Divisors: 1 3 9 41 73 123 219 369 657 1987 2993 5961 8979 17883 26937 81467 145051 244401 435153 733203 749809 1305459 2249427 5947091 6748281 17841273 30742169 53523819 54736057 92226507 164208171 276679521 492624513 1489870483 2244178337 4469611449 6732535011 13408834347 20197605033 61084689803 108760545259 183254069409 326281635777 549762208227 978844907331 4459182355619 13377547066857 40132641200571