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241642540245041 = 1343249207204299
BaseRepresentation
bin110110111100010111001001…
…110001100010000000110001
31011200120210122002210220110022
4312330113021301202000301
5223133032410300320131
62213533014523413225
7101620045261163405
oct6674271161420061
91150523562726408
10241642540245041
116aaa40313a6611
1223127b39984215
13a4aaa41bb25b0
1443957c04c3105
151ce0a24da237b
hexdbc5c9c62031

241642540245041 has 24 divisors (see below), whose sum is σ = 266429757988800. Its totient is φ = 217861841072736.

The previous prime is 241642540244971. The next prime is 241642540245059. The reversal of 241642540245041 is 140542045246142.

It is not a de Polignac number, because 241642540245041 - 218 = 241642539982897 is a prime.

It is a super-3 number, since 3×2416425402450413 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 241642540244983 and 241642540245001.

It is not an unprimeable number, because it can be changed into a prime (241642540245091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1182686510 + ... + 1182890808.

It is an arithmetic number, because the mean of its divisors is an integer number (11101239916200).

Almost surely, 2241642540245041 is an apocalyptic number.

It is an amenable number.

241642540245041 is a deficient number, since it is larger than the sum of its proper divisors (24787217743759).

241642540245041 is a wasteful number, since it uses less digits than its factorization.

241642540245041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253605 (or 253562 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 44.

The spelling of 241642540245041 in words is "two hundred forty-one trillion, six hundred forty-two billion, five hundred forty million, two hundred forty-five thousand, forty-one".

Divisors: 1 13 43 559 1849 24037 49207 204299 639691 2115901 2655887 8784857 27506713 90983743 114203141 377748851 1182788659 4910735063 10052940893 130688231609 432276458399 5619593959187 18587887711157 241642540245041