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300144004141 is a prime number
BaseRepresentation
bin1000101111000011111…
…10100000110000101101
31001200201112220012021211
410113201332200300231
514404143331113031
6345514555354421
730453563640442
oct4274176406055
91050645805254
10300144004141
11106321513793
124a205752a11
13223c390b667
14107543099c9
157c1a156bb1
hex45e1fa0c2d

300144004141 has 2 divisors, whose sum is σ = 300144004142. Its totient is φ = 300144004140.

The previous prime is 300144004129. The next prime is 300144004177. The reversal of 300144004141 is 141400441003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 234827468100 + 65316536041 = 484590^2 + 255571^2 .

It is a cyclic number.

It is not a de Polignac number, because 300144004141 - 215 = 300143971373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300144002141) 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, 150072002070 + 150072002071.

It is an arithmetic number, because the mean of its divisors is an integer number (150072002071).

Almost surely, 2300144004141 is an apocalyptic number.

It is an amenable number.

300144004141 is a deficient number, since it is larger than the sum of its proper divisors (1).

300144004141 is an equidigital number, since it uses as much as digits as its factorization.

300144004141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 300144004141 its reverse (141400441003), we get a palindrome (441544445144).

The spelling of 300144004141 in words is "three hundred billion, one hundred forty-four million, four thousand, one hundred forty-one".