Search a number
-
+
413033033437 is a prime number
BaseRepresentation
bin1100000001010101010…
…11111110111011011101
31110111002222112001210221
412000222223332323131
523231342424032222
6513424511201341
741561225600023
oct6005253767335
91414088461727
10413033033437
1114a19141a312
126806bb16251
132cc4480794b
1415dc308a713
15ab25bc30c7
hex602aafeedd

413033033437 has 2 divisors, whose sum is σ = 413033033438. Its totient is φ = 413033033436.

The previous prime is 413033033423. The next prime is 413033033443. The reversal of 413033033437 is 734330330314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 292217006041 + 120816027396 = 540571^2 + 347586^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-413033033437 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413033033477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206516516718 + 206516516719.

It is an arithmetic number, because the mean of its divisors is an integer number (206516516719).

Almost surely, 2413033033437 is an apocalyptic number.

It is an amenable number.

413033033437 is a deficient number, since it is larger than the sum of its proper divisors (1).

413033033437 is an equidigital number, since it uses as much as digits as its factorization.

413033033437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81648, while the sum is 34.

The spelling of 413033033437 in words is "four hundred thirteen billion, thirty-three million, thirty-three thousand, four hundred thirty-seven".