Search a number
-
+
34874441009 is a prime number
BaseRepresentation
bin100000011110101011…
…011011110100110001
310100000110102011101022
4200132223123310301
51032410324103014
624004320145225
72343135600062
oct403653336461
9110013364338
1034874441009
1113876792781
126913468215
13339a201715
14198b984569
15d91a2ca8e
hex81eadbd31

34874441009 has 2 divisors, whose sum is σ = 34874441010. Its totient is φ = 34874441008.

The previous prime is 34874441003. The next prime is 34874441023. The reversal of 34874441009 is 90014447843.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26618901409 + 8255539600 = 163153^2 + 90860^2 .

It is an emirp because it is prime and its reverse (90014447843) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34874441009 - 28 = 34874440753 is a prime.

It is not a weakly prime, because it can be changed into another prime (34874441003) 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 as a sum of consecutive naturals, namely, 17437220504 + 17437220505.

It is an arithmetic number, because the mean of its divisors is an integer number (17437220505).

Almost surely, 234874441009 is an apocalyptic number.

It is an amenable number.

34874441009 is a deficient number, since it is larger than the sum of its proper divisors (1).

34874441009 is an equidigital number, since it uses as much as digits as its factorization.

34874441009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 34874441009 in words is "thirty-four billion, eight hundred seventy-four million, four hundred forty-one thousand, nine".