Search a number
-
+
241642417646503 = 17128923011479221
BaseRepresentation
bin110110111100010111000010…
…011101110110101110100111
31011200120210022120010020212201
4312330113002131312232213
5223133032132404142003
62213532554423555331
7101620042242130306
oct6674270235665647
91150523276106781
10241642417646503
116aaa3a7917a505
1223127b048bbb47
13a4aaa22688993
1443957ac0cc43d
151ce0a19236b1d
hexdbc5c2776ba7

241642417646503 has 16 divisors (see below), whose sum is σ = 256066831738080. Its totient is φ = 227241370137600.

The previous prime is 241642417646477. The next prime is 241642417646569. The reversal of 241642417646503 is 305646714246142.

It is a cyclic number.

It is not a de Polignac number, because 241642417646503 - 217 = 241642417515431 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241642417626503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504000433 + ... + 504479653.

It is an arithmetic number, because the mean of its divisors is an integer number (16004176983630).

Almost surely, 2241642417646503 is an apocalyptic number.

241642417646503 is a deficient number, since it is larger than the sum of its proper divisors (14424414091577).

241642417646503 is a wasteful number, since it uses less digits than its factorization.

241642417646503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503538.

The product of its (nonzero) digits is 23224320, while the sum is 55.

The spelling of 241642417646503 in words is "two hundred forty-one trillion, six hundred forty-two billion, four hundred seventeen million, six hundred forty-six thousand, five hundred three".

Divisors: 1 17 1289 21913 23011 391187 479221 8146757 29661179 504240043 617715869 10501169773 11027354431 187465025327 14214259861559 241642417646503