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241241510405241 = 32233136217598903
BaseRepresentation
bin110110110110100001101010…
…100010000110010001111001
31011122011110111122102020211200
4312312201222202012101321
5223110000103130431431
62213024453034244413
7101546060342611113
oct6666415242062171
91148143448366750
10241241510405241
116a959a4a51a345
1223082279886709
13a47bc910b9cb8
1443802196463b3
151cd53a2d80ee6
hexdb686a886479

241241510405241 has 48 divisors (see below), whose sum is σ = 364831369533696. Its totient is φ = 153318758681088.

The previous prime is 241241510405201. The next prime is 241241510405243. The reversal of 241241510405241 is 142504015142142.

It is a happy number.

241241510405241 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 4 + 1 + 5 + 1 + 0 + 405 + 241 = 666.

It is not a de Polignac number, because 241241510405241 - 245 = 206057138316409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 241241510405196 and 241241510405205.

It is not an unprimeable number, because it can be changed into a prime (241241510405243) 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, 402506196 + ... + 403105098.

It is an arithmetic number, because the mean of its divisors is an integer number (7600653531952).

Almost surely, 2241241510405241 is an apocalyptic number.

It is an amenable number.

241241510405241 is a deficient number, since it is larger than the sum of its proper divisors (123589859128455).

241241510405241 is a wasteful number, since it uses less digits than its factorization.

241241510405241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605462 (or 605459 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 241241510405241 its reverse (142504015142142), we get a palindrome (383745525547383).

The spelling of 241241510405241 in words is "two hundred forty-one trillion, two hundred forty-one billion, five hundred ten million, four hundred five thousand, two hundred forty-one".

Divisors: 1 3 9 23 69 207 313 939 2817 6217 7199 18651 21597 55953 64791 142991 428973 598903 1286919 1796709 1945921 5390127 5837763 13774769 17513289 41324307 44756183 123972921 134268549 187456639 402805647 562369917 1687109751 3723379951 4311502697 11170139853 12934508091 33510419559 38803524273 85637738873 256913216619 770739649857 1165417924663 3496253773989 10488761321967 26804612267249 80413836801747 241241510405241