Search a number
-
+
241024141103112 = 233323809310919289
BaseRepresentation
bin110110110011010111001110…
…010100000001000000001000
31011121101200102210201121011000
4312303113032110001000020
5223042414420110244422
62212340543431535000
7101524263622204233
oct6663271624010010
91147350383647130
10241024141103112
116a8858451913a4
122304811522a460
13a46462c423973
1443738b87d241a
151cce8cead6cac
hexdb35ce501008

241024141103112 has 256 divisors, whose sum is σ = 699745521600000. Its totient is φ = 76724619890688.

The previous prime is 241024141103063. The next prime is 241024141103201. The reversal of 241024141103112 is 211301141420142.

241024141103112 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 241 + 411 + 0 + 3 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12495409564 + ... + 12495428852.

It is an arithmetic number, because the mean of its divisors is an integer number (2733380943750).

Almost surely, 2241024141103112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241024141103112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349872760800000).

241024141103112 is an abundant number, since it is smaller than the sum of its proper divisors (458721380496888).

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

241024141103112 is a wasteful number, since it uses less digits than its factorization.

241024141103112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23245 (or 23235 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 241024141103112 its reverse (211301141420142), we get a palindrome (452325282523254).

The spelling of 241024141103112 in words is "two hundred forty-one trillion, twenty-four billion, one hundred forty-one million, one hundred three thousand, one hundred twelve".