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414195401 is a prime number
BaseRepresentation
bin11000101100000…
…001111011001001
31001212101022021102
4120230001323021
51322013223101
6105033351145
713156413524
oct3054017311
91055338242
10414195401
111a2891154
12b68684b5
1367a71949
143d01bbbb
152656986b
hex18b01ec9

414195401 has 2 divisors, whose sum is σ = 414195402. Its totient is φ = 414195400.

The previous prime is 414195391. The next prime is 414195413. The reversal of 414195401 is 104591414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 412090000 + 2105401 = 20300^2 + 1451^2 .

It is a cyclic number.

It is not a de Polignac number, because 414195401 - 218 = 413933257 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (414195451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207097700 + 207097701.

It is an arithmetic number, because the mean of its divisors is an integer number (207097701).

Almost surely, 2414195401 is an apocalyptic number.

It is an amenable number.

414195401 is a deficient number, since it is larger than the sum of its proper divisors (1).

414195401 is an equidigital number, since it uses as much as digits as its factorization.

414195401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 414195401 is about 20351.7911005395. The cubic root of 414195401 is about 745.4212298899.

The spelling of 414195401 in words is "four hundred fourteen million, one hundred ninety-five thousand, four hundred one".