Search a number
-
+
334076648981 is a prime number
BaseRepresentation
bin1001101110010001000…
…01010001111000010101
31011221022101011011012112
410313020201101320111
520433142110231411
6413250034000405
733064505443235
oct4671041217025
91157271134175
10334076648981
11119754617019
12548b5716105
132567097142a
1412252b73cc5
158a5414db8b
hex4dc8851e15

334076648981 has 2 divisors, whose sum is σ = 334076648982. Its totient is φ = 334076648980.

The previous prime is 334076648881. The next prime is 334076648993. The reversal of 334076648981 is 189846670433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 256370068900 + 77706580081 = 506330^2 + 278759^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-334076648981 is a prime.

It is a super-2 number, since 2×3340766489812 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 334076648981.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (334076648881) 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, 167038324490 + 167038324491.

It is an arithmetic number, because the mean of its divisors is an integer number (167038324491).

Almost surely, 2334076648981 is an apocalyptic number.

It is an amenable number.

334076648981 is a deficient number, since it is larger than the sum of its proper divisors (1).

334076648981 is an equidigital number, since it uses as much as digits as its factorization.

334076648981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20901888, while the sum is 59.

The spelling of 334076648981 in words is "three hundred thirty-four billion, seventy-six million, six hundred forty-eight thousand, nine hundred eighty-one".