Search a number
-
+
241123014034144 = 251141151163678809
BaseRepresentation
bin110110110100110011010011…
…100110010100001011100000
31011121202010122102120220102121
4312310303103212110023200
5223101024413043043034
62212454214453554024
7101534364032226334
oct6664632346241340
91147663572526377
10241123014034144
116a9137723a3940
1223063309645914
13a470a58595898
1443785b7ca97c4
151cd2269de01b4
hexdb4cd39942e0

241123014034144 has 192 divisors, whose sum is σ = 537287520591360. Its totient is φ = 105568220160000.

The previous prime is 241123014034081. The next prime is 241123014034163. The reversal of 241123014034144 is 441430410321142.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 354875412 + ... + 355554220.

It is an arithmetic number, because the mean of its divisors is an integer number (2798372503080).

Almost surely, 2241123014034144 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 241123014034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268643760295680).

241123014034144 is an abundant number, since it is smaller than the sum of its proper divisors (296164506557216).

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

241123014034144 is a wasteful number, since it uses less digits than its factorization.

241123014034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679185 (or 679177 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 241123014034144 its reverse (441430410321142), we get a palindrome (682553424355286).

The spelling of 241123014034144 in words is "two hundred forty-one trillion, one hundred twenty-three billion, fourteen million, thirty-four thousand, one hundred forty-four".