Search a number
-
+
45949390441 is a prime number
BaseRepresentation
bin101010110010110011…
…000000111001101001
311101121021212212220121
4222302303000321221
51223101020443231
633035302523241
73214445242303
oct526263007151
9141537785817
1045949390441
111853a262149
128aa4436521
13444380b636
14231c7a4973
1512dde74311
hexab2cc0e69

45949390441 has 2 divisors, whose sum is σ = 45949390442. Its totient is φ = 45949390440.

The previous prime is 45949390427. The next prime is 45949390451. The reversal of 45949390441 is 14409394954.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34886768400 + 11062622041 = 186780^2 + 105179^2 .

It is a cyclic number.

It is not a de Polignac number, because 45949390441 - 215 = 45949357673 is a prime.

It is a super-2 number, since 2×459493904412 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (45949390451) 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, 22974695220 + 22974695221.

It is an arithmetic number, because the mean of its divisors is an integer number (22974695221).

Almost surely, 245949390441 is an apocalyptic number.

It is an amenable number.

45949390441 is a deficient number, since it is larger than the sum of its proper divisors (1).

45949390441 is an equidigital number, since it uses as much as digits as its factorization.

45949390441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 45949390441 in words is "forty-five billion, nine hundred forty-nine million, three hundred ninety thousand, four hundred forty-one".