Search a number
-
+
33445443144133 is a prime number
BaseRepresentation
bin1111001101011000111111…
…10000100000100111000101
311101102100112102211022110101
413212230133300200213011
513340432231421103013
6155044342515124101
710021232155036066
oct746543760404705
9141370472738411
1033445443144133
11a725150808999
123901b4b2a3631
131587b79257887
14838aa78aa56d
153ceed56db8dd
hex1e6b1fc209c5

33445443144133 has 2 divisors, whose sum is σ = 33445443144134. Its totient is φ = 33445443144132.

The previous prime is 33445443144107. The next prime is 33445443144271. The reversal of 33445443144133 is 33144134454433.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32470132838049 + 975310306084 = 5698257^2 + 987578^2 .

It is an emirp because it is prime and its reverse (33144134454433) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33445443144133 - 229 = 33444906273221 is a prime.

It is a super-2 number, since 2×334454431441332 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33445443174133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16722721572066 + 16722721572067.

It is an arithmetic number, because the mean of its divisors is an integer number (16722721572067).

Almost surely, 233445443144133 is an apocalyptic number.

It is an amenable number.

33445443144133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33445443144133 is an equidigital number, since it uses as much as digits as its factorization.

33445443144133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4976640, while the sum is 46.

Adding to 33445443144133 its reverse (33144134454433), we get a palindrome (66589577598566).

The spelling of 33445443144133 in words is "thirty-three trillion, four hundred forty-five billion, four hundred forty-three million, one hundred forty-four thousand, one hundred thirty-three".