Search a number
-
+
41313214020105 = 32513117077410387
BaseRepresentation
bin10010110010010111110110…
…11100100011101000001001
312102021111121220210020101200
421121023323130203220021
520403333430242120410
6223511010054134413
711462531646042156
oct1131137334435011
9172244556706350
1041313214020105
1112188921310135
12477293b951409
131a08a861b94c1
14a2b7da9c122d
154b99b8c6c3c0
hex2592fb723a09

41313214020105 has 48 divisors (see below), whose sum is σ = 72160610094144. Its totient is φ = 21864184168320.

The previous prime is 41313214020103. The next prime is 41313214020107. The reversal of 41313214020105 is 50102041231314.

41313214020105 is a `hidden beast` number, since 4 + 1 + 313 + 2 + 140 + 201 + 0 + 5 = 666.

41313214020105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41313214020103) and next prime (41313214020107).

It is not a de Polignac number, because 41313214020105 - 21 = 41313214020103 is a prime.

It is a super-2 number, since 2×413132140201052 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41313214020103) 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 47 ways as a sum of consecutive naturals, for example, 100463722 + ... + 100874108.

It is an arithmetic number, because the mean of its divisors is an integer number (1503346043628).

Almost surely, 241313214020105 is an apocalyptic number.

41313214020105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41313214020105 is a deficient number, since it is larger than the sum of its proper divisors (30847396074039).

41313214020105 is a wasteful number, since it uses less digits than its factorization.

41313214020105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427606 (or 427603 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 41313214020105 its reverse (50102041231314), we get a palindrome (91415255251419).

The spelling of 41313214020105 in words is "forty-one trillion, three hundred thirteen billion, two hundred fourteen million, twenty thousand, one hundred five".

Divisors: 1 3 5 9 15 45 131 393 655 1179 1965 5895 17077 51231 85385 153693 256155 410387 768465 1231161 2051935 2237087 3693483 6155805 6711261 11185435 18467415 20133783 33556305 53760697 100668915 161282091 268803485 483846273 806410455 2419231365 7008178799 21024536397 35040893995 63073609191 105122681985 315368045955 918071422669 2754214268007 4590357113345 8262642804021 13771071340035 41313214020105