Search a number
-
+
45242542335041 is a prime number
BaseRepresentation
bin10100100100101110110011…
…01010100010010001000001
312221012010220120020100202122
422102113121222202101001
521412223211314210131
6240120045332454025
712346444242454202
oct1222273152422101
9187163816210678
1045242542335041
111346328874a807
1250a8383a7a315
131c324796631bc
14b25a720215a9
15536ce0688d7b
hex2925d9aa2441

45242542335041 has 2 divisors, whose sum is σ = 45242542335042. Its totient is φ = 45242542335040.

The previous prime is 45242542334959. The next prime is 45242542335043. The reversal of 45242542335041 is 14053324524254.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35866575854641 + 9375966480400 = 5988871^2 + 3062020^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45242542335041 is a prime.

Together with 45242542335043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 45242542334983 and 45242542335001.

It is not a weakly prime, because it can be changed into another prime (45242542335043) 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, 22621271167520 + 22621271167521.

It is an arithmetic number, because the mean of its divisors is an integer number (22621271167521).

Almost surely, 245242542335041 is an apocalyptic number.

It is an amenable number.

45242542335041 is a deficient number, since it is larger than the sum of its proper divisors (1).

45242542335041 is an equidigital number, since it uses as much as digits as its factorization.

45242542335041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304000, while the sum is 44.

Adding to 45242542335041 its reverse (14053324524254), we get a palindrome (59295866859295).

The spelling of 45242542335041 in words is "forty-five trillion, two hundred forty-two billion, five hundred forty-two million, three hundred thirty-five thousand, forty-one".