Search a number
-
+
41504205313153 = 1119297831187443
BaseRepresentation
bin10010110111111011100110…
…11010100001010010000001
312102221202121102121012012001
421123331303122201102001
520420001103030010103
6224134434012304001
711512402620202342
oct1133756332412201
9172852542535161
1041504205313153
111225191a983480
1247a3962472001
131a20aa2cca23b
14a36b584620c9
154be94639501d
hex25bf736a1481

41504205313153 has 32 divisors (see below), whose sum is σ = 49304984601600. Its totient is φ = 34511818420800.

The previous prime is 41504205313141. The next prime is 41504205313183. The reversal of 41504205313153 is 35131350240514.

41504205313153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 41504205313153 - 245 = 6319833224321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41504205313183) 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 31 ways as a sum of consecutive naturals, for example, 474599250 + ... + 474686692.

It is an arithmetic number, because the mean of its divisors is an integer number (1540780768800).

Almost surely, 241504205313153 is an apocalyptic number.

It is an amenable number.

41504205313153 is a deficient number, since it is larger than the sum of its proper divisors (7800779288447).

41504205313153 is a wasteful number, since it uses less digits than its factorization.

41504205313153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165813.

The product of its (nonzero) digits is 108000, while the sum is 37.

Adding to 41504205313153 its reverse (35131350240514), we get a palindrome (76635555553667).

The spelling of 41504205313153 in words is "forty-one trillion, five hundred four billion, two hundred five million, three hundred thirteen thousand, one hundred fifty-three".

Divisors: 1 11 19 29 209 319 551 6061 78311 87443 861421 961873 1487909 1661417 2271019 2535847 16366999 18275587 24981209 27894317 43149361 48181093 474642971 529992023 6847748773 75325236503 130107226687 198584714417 1431179493557 2184431858587 3773109573923 41504205313153