Search a number
-
+
81408002141 is a prime number
BaseRepresentation
bin100101111010001001…
…0111000100001011101
321210010110111222211102
41023310102320201131
52313210422032031
6101222012002445
75611236413054
oct1136422704135
9253113458742
1081408002141
1131585770a14
121393b460425
1378a4a5598b
143d23b7139b
1521b6de47cb
hex12f44b885d

81408002141 has 2 divisors, whose sum is σ = 81408002142. Its totient is φ = 81408002140.

The previous prime is 81408002131. The next prime is 81408002147. The reversal of 81408002141 is 14120080418.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49649198041 + 31758804100 = 222821^2 + 178210^2 .

It is a cyclic number.

It is not a de Polignac number, because 81408002141 - 230 = 80334260317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (81408002147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40704001070 + 40704001071.

It is an arithmetic number, because the mean of its divisors is an integer number (40704001071).

Almost surely, 281408002141 is an apocalyptic number.

It is an amenable number.

81408002141 is a deficient number, since it is larger than the sum of its proper divisors (1).

81408002141 is an equidigital number, since it uses as much as digits as its factorization.

81408002141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2048, while the sum is 29.

Adding to 81408002141 its reverse (14120080418), we get a palindrome (95528082559).

The spelling of 81408002141 in words is "eighty-one billion, four hundred eight million, two thousand, one hundred forty-one".