Search a number
-
+
34435842457 is a prime number
BaseRepresentation
bin100000000100100010…
…010100000110011001
310021212220010001021111
4200010202110012121
51031011033424312
623453011340321
72326231555102
oct400442240631
9107786101244
1034435842457
1113671154135
1268105b16a1
13332a397453
1419496133a9
15d682928a7
hex804894199

34435842457 has 2 divisors, whose sum is σ = 34435842458. Its totient is φ = 34435842456.

The previous prime is 34435842451. The next prime is 34435842491. The reversal of 34435842457 is 75424853443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33996353161 + 439489296 = 184381^2 + 20964^2 .

It is a cyclic number.

It is not a de Polignac number, because 34435842457 - 211 = 34435840409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34435842457.

It is not a weakly prime, because it can be changed into another prime (34435842451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17217921228 + 17217921229.

It is an arithmetic number, because the mean of its divisors is an integer number (17217921229).

Almost surely, 234435842457 is an apocalyptic number.

It is an amenable number.

34435842457 is a deficient number, since it is larger than the sum of its proper divisors (1).

34435842457 is an equidigital number, since it uses as much as digits as its factorization.

34435842457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6451200, while the sum is 49.

The spelling of 34435842457 in words is "thirty-four billion, four hundred thirty-five million, eight hundred forty-two thousand, four hundred fifty-seven".