Search a number
-
+
242313414441121 = 373963316743767
BaseRepresentation
bin110111000110000111111100…
…111111011111100010100001
31011202221221021110222011101201
4313012013330333133202201
5223230030333044103441
62215205125034001201
7102016365204565612
oct6706077477374241
91152857243864351
10242313414441121
11702325a6399681
1223215b68276201
13a529098117a1a
1443ba0634ddc09
151d031dbe61c31
hexdc61fcfdf8a1

242313414441121 has 8 divisors (see below), whose sum is σ = 242965606457024. Its totient is φ = 241661236106160.

The previous prime is 242313414441103. The next prime is 242313414441229. The reversal of 242313414441121 is 121144414313242.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 242313414441121 - 217 = 242313414310049 is a prime.

It is a super-2 number, since 2×2423134144411212 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242313414441821) 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 7 ways as a sum of consecutive naturals, for example, 32559580 + ... + 39303346.

It is an arithmetic number, because the mean of its divisors is an integer number (30370700807128).

Almost surely, 2242313414441121 is an apocalyptic number.

It is an amenable number.

242313414441121 is a deficient number, since it is larger than the sum of its proper divisors (652192015903).

242313414441121 is an equidigital number, since it uses as much as digits as its factorization.

242313414441121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6840471.

The product of its digits is 73728, while the sum is 37.

Adding to 242313414441121 its reverse (121144414313242), we get a palindrome (363457828754363).

The spelling of 242313414441121 in words is "two hundred forty-two trillion, three hundred thirteen billion, four hundred fourteen million, four hundred forty-one thousand, one hundred twenty-one".

Divisors: 1 373 96331 6743767 35931463 2515425091 649633818877 242313414441121