Search a number
-
+
242064420029 is a prime number
BaseRepresentation
bin1110000101110000101…
…0011110110010111101
3212010210212220121212222
43201130022132302331
512431221442420104
6303111452335125
723326403423045
oct3413412366275
9763725817788
10242064420029
11937280665a3
123aab6a744a5
1319a98cb2843
14ba04916725
15646b2e61be
hex385c29ecbd

242064420029 has 2 divisors, whose sum is σ = 242064420030. Its totient is φ = 242064420028.

The previous prime is 242064420019. The next prime is 242064420083. The reversal of 242064420029 is 920024460242.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203196297529 + 38868122500 = 450773^2 + 197150^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-242064420029 is a prime.

It is a super-2 number, since 2×2420644200292 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (242064420019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121032210014 + 121032210015.

It is an arithmetic number, because the mean of its divisors is an integer number (121032210015).

Almost surely, 2242064420029 is an apocalyptic number.

It is an amenable number.

242064420029 is a deficient number, since it is larger than the sum of its proper divisors (1).

242064420029 is an equidigital number, since it uses as much as digits as its factorization.

242064420029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 242064420029 in words is "two hundred forty-two billion, sixty-four million, four hundred twenty thousand, twenty-nine".