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34442314241 is a prime number
BaseRepresentation
bin100000000100111011…
…000000001000000001
310021220100021211220012
4200010323000020001
51031014213023431
623453402154305
72326340561216
oct400473001001
9107810254805
1034442314241
1113674874515
1268127b2995
13332b8220ca
14194a419b0d
15d68b2022b
hex804ec0201

34442314241 has 2 divisors, whose sum is σ = 34442314242. Its totient is φ = 34442314240.

The previous prime is 34442314237. The next prime is 34442314253. The reversal of 34442314241 is 14241324443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31192858225 + 3249456016 = 176615^2 + 57004^2 .

It is an emirp because it is prime and its reverse (14241324443) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34442314241 - 22 = 34442314237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34442314198 and 34442314207.

It is not a weakly prime, because it can be changed into another prime (34442314271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17221157120 + 17221157121.

It is an arithmetic number, because the mean of its divisors is an integer number (17221157121).

Almost surely, 234442314241 is an apocalyptic number.

It is an amenable number.

34442314241 is a deficient number, since it is larger than the sum of its proper divisors (1).

34442314241 is an equidigital number, since it uses as much as digits as its factorization.

34442314241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36864, while the sum is 32.

Adding to 34442314241 its reverse (14241324443), we get a palindrome (48683638684).

The spelling of 34442314241 in words is "thirty-four billion, four hundred forty-two million, three hundred fourteen thousand, two hundred forty-one".