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241713822736 = 2419264692
BaseRepresentation
bin1110000100011101000…
…1000011110000010000
3212002220110012102211001
43201013101003300100
512430012214311421
6303013010031344
723314615410361
oct3410721036020
9762813172731
10241713822736
1193568173671
123aa19578554
1319a4147a819
14b9b0131b68
15644a640691
hex3847443c10

241713822736 has 45 divisors (see below), whose sum is σ = 494342684541. Its totient is φ = 114478322112.

The previous prime is 241713822733. The next prime is 241713822767. The reversal of 241713822736 is 637228317142.

The square root of 241713822736 is 491644.

It is a perfect power (a square), and thus also a powerful number.

241713822736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12464382736 + 229249440000 = 111644^2 + 478800^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (241713822733) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37361710 + ... + 37368178.

Almost surely, 2241713822736 is an apocalyptic number.

241713822736 is the 491644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241713822736

241713822736 is an abundant number, since it is smaller than the sum of its proper divisors (252628861805).

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

241713822736 is an frugal number, since it uses more digits than its factorization.

241713822736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12984 (or 6490 counting only the distinct ones).

The product of its digits is 677376, while the sum is 46.

The spelling of 241713822736 in words is "two hundred forty-one billion, seven hundred thirteen million, eight hundred twenty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 5776 6469 12938 25876 51752 103504 122911 245822 491644 983288 1966576 2335309 4670618 9341236 18682472 37364944 41847961 83695922 167391844 334783688 669567376 795111259 1590222518 3180445036 6360890072 12721780144 15107113921 30214227842 60428455684 120856911368 241713822736