Search a number
-
+
241033140314010 = 23251110912717587793
BaseRepresentation
bin110110110011011111100110…
…101101010001111110011010
31011121102112122222022212201100
4312303133212231101332122
5223043041332410022020
62212345032424132230
7101525032625220552
oct6663374655217632
91147375588285640
10241033140314010
116a889642a93780
1223049a07007076
13a465434988a25
1443740cda80162
151ccec59ba9a90
hexdb37e6b51f9a

241033140314010 has 192 divisors, whose sum is σ = 695362279772160. Its totient is φ = 57440321648640.

The previous prime is 241033140314003. The next prime is 241033140314023. The reversal of 241033140314010 is 10413041330142.

241033140314010 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 331 + 4 + 0 + 314 + 0 + 10 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4910674 + ... + 22498466.

It is an arithmetic number, because the mean of its divisors is an integer number (3621678540480).

Almost surely, 2241033140314010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241033140314010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347681139886080).

241033140314010 is an abundant number, since it is smaller than the sum of its proper divisors (454329139458150).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

241033140314010 is a wasteful number, since it uses less digits than its factorization.

241033140314010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17588053 (or 17588050 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 241033140314010 its reverse (10413041330142), we get a palindrome (251446181644152).

The spelling of 241033140314010 in words is "two hundred forty-one trillion, thirty-three billion, one hundred forty million, three hundred fourteen thousand, ten".