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244106146441 is a prime number
BaseRepresentation
bin1110001101010111011…
…1000011001010001001
3212100002011210001222201
43203111313003022021
512444412133141231
6304050225520201
723431115003143
oct3432567031211
9770064701881
10244106146441
11945856128a3
123b3867a3061
131a032ca9491
14bb59b53c93
15653a69c161
hex38d5dc3289

244106146441 has 2 divisors, whose sum is σ = 244106146442. Its totient is φ = 244106146440.

The previous prime is 244106146379. The next prime is 244106146477. The reversal of 244106146441 is 144641601442.

244106146441 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., 158244840000 + 85861306441 = 397800^2 + 293021^2 .

It is a cyclic number.

It is not a de Polignac number, because 244106146441 - 27 = 244106146313 is a prime.

It is a super-3 number, since 3×2441061464413 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 244106146441.

It is not a weakly prime, because it can be changed into another prime (244106143441) 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, 122053073220 + 122053073221.

It is an arithmetic number, because the mean of its divisors is an integer number (122053073221).

Almost surely, 2244106146441 is an apocalyptic number.

It is an amenable number.

244106146441 is a deficient number, since it is larger than the sum of its proper divisors (1).

244106146441 is an equidigital number, since it uses as much as digits as its factorization.

244106146441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 37.

Adding to 244106146441 its reverse (144641601442), we get a palindrome (388747747883).

The spelling of 244106146441 in words is "two hundred forty-four billion, one hundred six million, one hundred forty-six thousand, four hundred forty-one".