Search a number
-
+
44106541484849 is a prime number
BaseRepresentation
bin10100000011101010110101…
…01111001100101100110001
312210011112200201012220201222
422001311122233030230301
521240120144110003344
6233450133200034425
712201410133531554
oct1201653257145461
9183145621186658
1044106541484849
111306552a8a4168
124b44187602a15
131b7c2c91ba10c
14ac6aa755c69b
155174a43595ee
hex281d5abccb31

44106541484849 has 2 divisors, whose sum is σ = 44106541484850. Its totient is φ = 44106541484848.

The previous prime is 44106541484783. The next prime is 44106541484857. The reversal of 44106541484849 is 94848414560144.

It is a happy number.

44106541484849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37550729458225 + 6555812026624 = 6127865^2 + 2560432^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-44106541484849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 44106541484791 and 44106541484800.

It is not a weakly prime, because it can be changed into another prime (44106541484249) 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, 22053270742424 + 22053270742425.

It is an arithmetic number, because the mean of its divisors is an integer number (22053270742425).

Almost surely, 244106541484849 is an apocalyptic number.

It is an amenable number.

44106541484849 is a deficient number, since it is larger than the sum of its proper divisors (1).

44106541484849 is an equidigital number, since it uses as much as digits as its factorization.

44106541484849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70778880, while the sum is 62.

The spelling of 44106541484849 in words is "forty-four trillion, one hundred six billion, five hundred forty-one million, four hundred eighty-four thousand, eight hundred forty-nine".