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408803435041 is a prime number
BaseRepresentation
bin1011111001011101001…
…01010110001000100001
31110002012012210012120111
411330232211112020201
523144212134410131
6511445100211321
741351346602251
oct5745645261041
91402165705514
10408803435041
11148410977451
126728b539b41
132c71c4679c1
1415b0144b961
15a9796e8ab1
hex5f2e956221

408803435041 has 2 divisors, whose sum is σ = 408803435042. Its totient is φ = 408803435040.

The previous prime is 408803434999. The next prime is 408803435059. The reversal of 408803435041 is 140534308804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 405539712400 + 3263722641 = 636820^2 + 57129^2 .

It is a cyclic number.

It is not a de Polignac number, because 408803435041 - 27 = 408803434913 is a prime.

It is a super-2 number, since 2×4088034350412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 408803434985 and 408803435003.

It is not a weakly prime, because it can be changed into another prime (408803435141) 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, 204401717520 + 204401717521.

It is an arithmetic number, because the mean of its divisors is an integer number (204401717521).

Almost surely, 2408803435041 is an apocalyptic number.

It is an amenable number.

408803435041 is a deficient number, since it is larger than the sum of its proper divisors (1).

408803435041 is an equidigital number, since it uses as much as digits as its factorization.

408803435041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 408803435041 in words is "four hundred eight billion, eight hundred three million, four hundred thirty-five thousand, forty-one".