Search a number
-
+
404022142897819 is a prime number
BaseRepresentation
bin101101111011101001011110…
…0010011110000111010011011
31221222112010202210201120111121
41123313102330103300322123
5410423444322040212234
63551141113220110111
7151046431224314035
oct13367227423607233
91858463683646447
10404022142897819
11107808912915116
1239392246235337
131445918097b794
1471aaac16c4c55
1531a98230424b4
hex16f74bc4f0e9b

404022142897819 has 2 divisors, whose sum is σ = 404022142897820. Its totient is φ = 404022142897818.

The previous prime is 404022142897741. The next prime is 404022142897873. The reversal of 404022142897819 is 918798241220404.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 404022142897819 - 227 = 404022008680091 is a prime.

It is a super-4 number, since 4×4040221428978194 (a number of 60 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (404022142997819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202011071448909 + 202011071448910.

It is an arithmetic number, because the mean of its divisors is an integer number (202011071448910).

Almost surely, 2404022142897819 is an apocalyptic number.

404022142897819 is a deficient number, since it is larger than the sum of its proper divisors (1).

404022142897819 is an equidigital number, since it uses as much as digits as its factorization.

404022142897819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18579456, while the sum is 61.

The spelling of 404022142897819 in words is "four hundred four trillion, twenty-two billion, one hundred forty-two million, eight hundred ninety-seven thousand, eight hundred nineteen".