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20414204112041 = 293743331880513
BaseRepresentation
bin1001010010001000011010…
…11000100110110010101001
32200021120121222120112022022
410221010031120212302221
510133431242223041131
6111230053401434225
74204610002623155
oct451041530466251
980246558515268
1020414204112041
11656068502a003
1223584ab79b975
13b510885c7aac
145080a4a6a065
1525604878037b
hex12910d626ca9

20414204112041 has 8 divisors (see below), whose sum is σ = 21118209830280. Its totient is φ = 19710202903552.

The previous prime is 20414204111971. The next prime is 20414204112149. The reversal of 20414204112041 is 14021140241402.

It can be written as a sum of positive squares in 4 ways, for example, as 50609251225 + 20363594860816 = 224965^2 + 4512604^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 20414204112041 - 226 = 20414137003177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20414204112041.

It is not an unprimeable number, because it can be changed into a prime (20414204112541) 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 in 7 ways as a sum of consecutive naturals, for example, 9915401 + ... + 11795913.

It is an arithmetic number, because the mean of its divisors is an integer number (2639776228785).

Almost surely, 220414204112041 is an apocalyptic number.

It is an amenable number.

20414204112041 is a deficient number, since it is larger than the sum of its proper divisors (704005718239).

20414204112041 is a wasteful number, since it uses less digits than its factorization.

20414204112041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254875.

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 20414204112041 its reverse (14021140241402), we get a palindrome (34435344353443).

The spelling of 20414204112041 in words is "twenty trillion, four hundred fourteen billion, two hundred four million, one hundred twelve thousand, forty-one".

Divisors: 1 29 374333 1880513 10855657 54534877 703938072829 20414204112041