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241220315434993 = 3159791978474359
BaseRepresentation
bin110110110110001101111011…
…001101101100111111110001
31011122002102210112100012120121
4312312031323031230333301
5223104123201222404433
62213011025540410241
7101544410200414666
oct6666157315547761
91148072715305517
10241220315434993
116a950a6350a504
122307a1436a6981
13a479c93c8c39b
14437d1a877da6d
151cd4a6226ec2d
hexdb637b36cff1

241220315434993 has 32 divisors (see below), whose sum is σ = 257729015808000. Its totient is φ = 225427414080960.

The previous prime is 241220315434991. The next prime is 241220315434997. The reversal of 241220315434993 is 399434513022142.

It is a cyclic number.

It is not a de Polignac number, because 241220315434993 - 21 = 241220315434991 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 241220315434993.

It is not an unprimeable number, because it can be changed into a prime (241220315434991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24227548 + ... + 32701906.

It is an arithmetic number, because the mean of its divisors is an integer number (8054031744000).

Almost surely, 2241220315434993 is an apocalyptic number.

It is an amenable number.

241220315434993 is a deficient number, since it is larger than the sum of its proper divisors (16508700373007).

241220315434993 is a wasteful number, since it uses less digits than its factorization.

241220315434993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8474725.

The product of its (nonzero) digits is 5598720, while the sum is 52.

The spelling of 241220315434993 in words is "two hundred forty-one trillion, two hundred twenty billion, three hundred fifteen million, four hundred thirty-four thousand, nine hundred ninety-three".

Divisors: 1 31 59 79 197 1829 2449 4661 6107 11623 15563 144491 360313 482453 918217 8474359 28464727 262705129 499987181 669474361 1669448723 15499602611 20753705191 39498987299 51752910413 98497474657 131886449117 1224468606269 3053421714367 4088479922627 7781300497903 241220315434993