Search a number
-
+
404424000217 is a prime number
BaseRepresentation
bin1011110001010011000…
…11001000001011011001
31102122220000002212101201
411320221203020023121
523111230021001332
6505442333514201
741135001165556
oct5705143101331
91378800085351
10404424000217
11146573894226
1266468942961
132c1a2055453
1415807967a2d
15a7beec35e7
hex5e298c82d9

404424000217 has 2 divisors, whose sum is σ = 404424000218. Its totient is φ = 404424000216.

The previous prime is 404424000193. The next prime is 404424000229. The reversal of 404424000217 is 712000424404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 404418411721 + 5588496 = 635939^2 + 2364^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-404424000217 is a prime.

It is not a weakly prime, because it can be changed into another prime (404424000257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202212000108 + 202212000109.

It is an arithmetic number, because the mean of its divisors is an integer number (202212000109).

Almost surely, 2404424000217 is an apocalyptic number.

It is an amenable number.

404424000217 is a deficient number, since it is larger than the sum of its proper divisors (1).

404424000217 is an equidigital number, since it uses as much as digits as its factorization.

404424000217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7168, while the sum is 28.

The spelling of 404424000217 in words is "four hundred four billion, four hundred twenty-four million, two hundred seventeen", and thus it is an aban number.