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242144214020 = 22512107210701
BaseRepresentation
bin1110000110000011101…
…0110111110000000100
3212011000110001120122222
43201200322313300010
512431402404322040
6303123422511512
723331362600432
oct3414072676004
9764013046588
10242144214020
1193769106a45
123ab19735598
1319aac6a0217
14ba11367d52
156473308bb5
hex3860eb7c04

242144214020 has 12 divisors (see below), whose sum is σ = 508502849484. Its totient is φ = 96857685600.

The previous prime is 242144214017. The next prime is 242144214043. The reversal of 242144214020 is 20412441242.

It is a happy number.

242144214020 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 2 ways, for example, as 148274284096 + 93869929924 = 385064^2 + 306382^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6053605331 + ... + 6053605370.

It is an arithmetic number, because the mean of its divisors is an integer number (42375237457).

Almost surely, 2242144214020 is an apocalyptic number.

242144214020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242144214020 is an abundant number, since it is smaller than the sum of its proper divisors (266358635464).

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

242144214020 is a wasteful number, since it uses less digits than its factorization.

242144214020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12107210710 (or 12107210708 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 242144214020 its reverse (20412441242), we get a palindrome (262556655262).

The spelling of 242144214020 in words is "two hundred forty-two billion, one hundred forty-four million, two hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 12107210701 24214421402 48428842804 60536053505 121072107010 242144214020