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242151242540321 = 617615216415901
BaseRepresentation
bin110111000011110000111010…
…110010110010010100100001
31011202101102200102221000121102
4313003300322302302110201
5223214401221042242241
62215002424535204145
7102001564346304242
oct6703607262622441
91152342612830542
10242151242540321
117017a8465a9284
12231aa649216655
13a5169c1c074ca
1443b227b384cc9
151cedd999a839b
hexdc3c3acb2521

242151242540321 has 8 divisors (see below), whose sum is σ = 246444352874088. Its totient is φ = 237868565040000.

The previous prime is 242151242540269. The next prime is 242151242540377. The reversal of 242151242540321 is 123045242151242.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25314985960000 + 216836256580321 = 5031400^2 + 14725361^2 .

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 242151242540321 - 26 = 242151242540257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242151242548321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2608161530 + ... + 2608254371.

It is an arithmetic number, because the mean of its divisors is an integer number (30805544109261).

Almost surely, 2242151242540321 is an apocalyptic number.

It is an amenable number.

242151242540321 is a deficient number, since it is larger than the sum of its proper divisors (4293110333767).

242151242540321 is an equidigital number, since it uses as much as digits as its factorization.

242151242540321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5216416723.

The product of its (nonzero) digits is 153600, while the sum is 38.

Adding to 242151242540321 its reverse (123045242151242), we get a palindrome (365196484691563).

The spelling of 242151242540321 in words is "two hundred forty-two trillion, one hundred fifty-one billion, two hundred forty-two million, five hundred forty thousand, three hundred twenty-one".

Divisors: 1 61 761 46421 5216415901 318201369961 3969692500661 242151242540321