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400404224081 is a prime number
BaseRepresentation
bin1011101001110011111…
…00111001100001010001
31102021111212012002012002
411310321330321201101
523030011440132311
6503535420043345
740633250514611
oct5647174714121
91367455162162
10400404224081
111448a0822994
1265726693555
132b9b12cb4a4
1415545b46a41
15a63714393b
hex5d39f39851

400404224081 has 2 divisors, whose sum is σ = 400404224082. Its totient is φ = 400404224080.

The previous prime is 400404223993. The next prime is 400404224113. The reversal of 400404224081 is 180422404004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255388729600 + 145015494481 = 505360^2 + 380809^2 .

It is a cyclic number.

It is not a de Polignac number, because 400404224081 - 210 = 400404223057 is a prime.

It is a super-2 number, since 2×4004042240812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (400404224881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200202112040 + 200202112041.

It is an arithmetic number, because the mean of its divisors is an integer number (200202112041).

Almost surely, 2400404224081 is an apocalyptic number.

It is an amenable number.

400404224081 is a deficient number, since it is larger than the sum of its proper divisors (1).

400404224081 is an equidigital number, since it uses as much as digits as its factorization.

400404224081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 400404224081 its reverse (180422404004), we get a palindrome (580826628085).

The spelling of 400404224081 in words is "four hundred billion, four hundred four million, two hundred twenty-four thousand, eighty-one".