Search a number
-
+
334241142337 is a prime number
BaseRepresentation
bin1001101110100100101…
…00110001011001000001
31011221201211200021200001
410313102110301121001
520434011213023322
6413314231400001
733101543555554
oct4672224613101
91157654607601
10334241142337
11119829458343
1254940823001
1325698a7618b
141226a95269b
158a637e2827
hex4dd2531641

334241142337 has 2 divisors, whose sum is σ = 334241142338. Its totient is φ = 334241142336.

The previous prime is 334241142289. The next prime is 334241142479. The reversal of 334241142337 is 733241142433.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 331443155521 + 2797986816 = 575711^2 + 52896^2 .

It is a cyclic number.

It is not a de Polignac number, because 334241142337 - 215 = 334241109569 is a prime.

It is a super-2 number, since 2×3342411423372 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334241142296 and 334241142305.

It is not a weakly prime, because it can be changed into another prime (334241142637) by changing a digit.

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 as a sum of consecutive naturals, namely, 167120571168 + 167120571169.

It is an arithmetic number, because the mean of its divisors is an integer number (167120571169).

Almost surely, 2334241142337 is an apocalyptic number.

It is an amenable number.

334241142337 is a deficient number, since it is larger than the sum of its proper divisors (1).

334241142337 is an equidigital number, since it uses as much as digits as its factorization.

334241142337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 145152, while the sum is 37.

The spelling of 334241142337 in words is "three hundred thirty-four billion, two hundred forty-one million, one hundred forty-two thousand, three hundred thirty-seven".