Search a number
-
+
13345040241 = 32131925123917
BaseRepresentation
bin11000110110110110…
…10010011101110001
31021110001001021200200
430123123102131301
5204312312241431
610044114305413
7651462653601
oct143333223561
937401037620
1013345040241
115728a22285
122705288269
131348a0c520
14908504c01
155318aaee6
hex31b6d2771

13345040241 has 48 divisors (see below), whose sum is σ = 21939503040. Its totient is φ = 7748784000.

The previous prime is 13345040227. The next prime is 13345040249. The reversal of 13345040241 is 14204054331.

It is a happy number.

13345040241 is a `hidden beast` number, since 1 + 334 + 50 + 40 + 241 = 666.

It is not a de Polignac number, because 13345040241 - 219 = 13344515953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13345040249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 546015 + ... + 569931.

It is an arithmetic number, because the mean of its divisors is an integer number (457072980).

Almost surely, 213345040241 is an apocalyptic number.

It is an amenable number.

13345040241 is a deficient number, since it is larger than the sum of its proper divisors (8594462799).

13345040241 is a wasteful number, since it uses less digits than its factorization.

13345040241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24206 (or 24203 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13345040241 its reverse (14204054331), we get a palindrome (27549094572).

The spelling of 13345040241 in words is "thirteen billion, three hundred forty-five million, forty thousand, two hundred forty-one".

Divisors: 1 3 9 13 19 39 57 117 171 247 251 741 753 2223 2259 3263 4769 9789 14307 23917 29367 42921 61997 71751 185991 215253 310921 454423 557973 932763 1363269 2798289 4089807 5907499 6003167 17722497 18009501 53167491 54028503 78041171 114060173 234123513 342180519 702370539 1026541557 1482782249 4448346747 13345040241