Search a number
-
+
41300244432135 = 32513149803471277
BaseRepresentation
bin10010110001111111101100…
…11001100000010100000111
312102020021011001012220101200
421120333312121200110013
520403130400033312020
6223501023110553543
711461562362260303
oct1130776631402407
9172207131186350
1041300244432135
1112183376317797
1247703203688b3
131a0779a2051b0
14a2ad2a2d0d03
154b94aa326590
hex258ff6660507

41300244432135 has 48 divisors (see below), whose sum is σ = 77094467827104. Its totient is φ = 20332249157376.

The previous prime is 41300244432059. The next prime is 41300244432149. The reversal of 41300244432135 is 53123444200314.

41300244432135 is a `hidden beast` number, since 4 + 1 + 300 + 24 + 4 + 4 + 321 + 3 + 5 = 666.

41300244432135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41300244432135 - 29 = 41300244431623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 41300244432135.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 87399117 + ... + 87870393.

It is an arithmetic number, because the mean of its divisors is an integer number (1606134746398).

Almost surely, 241300244432135 is an apocalyptic number.

41300244432135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41300244432135 is a deficient number, since it is larger than the sum of its proper divisors (35794223394969).

41300244432135 is a wasteful number, since it uses less digits than its factorization.

41300244432135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621104 (or 621101 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 41300244432135 its reverse (53123444200314), we get a palindrome (94423688632449).

The spelling of 41300244432135 in words is "forty-one trillion, three hundred billion, two hundred forty-four million, four hundred thirty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 149803 449409 471277 749015 1348227 1413831 1947439 2247045 2356385 4241493 5842317 6126601 6741135 7069155 9737195 17526951 18379803 21207465 29211585 30633005 55139409 87634755 91899015 275697045 70598708431 211796125293 352993542155 635388375879 917783209603 1058980626465 2753349628809 3176941879395 4588916048015 8260048886427 13766748144045 41300244432135