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242320202023242 = 23710356014840967
BaseRepresentation
bin110111000110001110010001…
…100100000100000101001010
31011202222120210112000001122010
4313012032101210010011022
5223230133233204220432
62215212210343240350
7102020025334231020
oct6706162144040512
91152876715001563
10242320202023242
1170235469849582
12232173414490b6
13a52990a4093c5
1443ba508b64710
151d03487cbc3cc
hexdc639190414a

242320202023242 has 32 divisors (see below), whose sum is σ = 559252172224512. Its totient is φ = 68562165342384.

The previous prime is 242320202023241. The next prime is 242320202023253.

It is a happy number.

242320202023242 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (242320202023241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28007416158 + ... + 28007424809.

It is an arithmetic number, because the mean of its divisors is an integer number (17476630382016).

Almost surely, 2242320202023242 is an apocalyptic number.

242320202023242 is an abundant number, since it is smaller than the sum of its proper divisors (316931970201270).

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

242320202023242 is a wasteful number, since it uses less digits than its factorization.

242320202023242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56014841082.

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 24232020 and 2023242, that added together give a palindrome (26255262).

The spelling of 242320202023242 in words is "two hundred forty-two trillion, three hundred twenty billion, two hundred two million, twenty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 103 206 309 618 721 1442 2163 4326 56014840967 112029681934 168044522901 336089045802 392103886769 784207773538 1176311660307 2352623320614 5769528619601 11539057239202 17308585858803 34617171717606 40386700337207 80773400674414 121160101011621 242320202023242