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414107693 is a prime number
BaseRepresentation
bin11000101011101…
…100100000101101
31001212012211221222
4120223230200231
51322002421233
6105031433125
713155600026
oct3053544055
91055184858
10414107693
111a283126a
12b68257a5
1367a40a4c
143cdd7c4d
152654d898
hex18aec82d

414107693 has 2 divisors, whose sum is σ = 414107694. Its totient is φ = 414107692.

The previous prime is 414107669. The next prime is 414107731. The reversal of 414107693 is 396701414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 377408329 + 36699364 = 19427^2 + 6058^2 .

It is a cyclic number.

It is not a de Polignac number, because 414107693 - 210 = 414106669 is a prime.

It is equal to p22047839 and since 414107693 and 22047839 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414107623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207053846 + 207053847.

It is an arithmetic number, because the mean of its divisors is an integer number (207053847).

Almost surely, 2414107693 is an apocalyptic number.

It is an amenable number.

414107693 is a deficient number, since it is larger than the sum of its proper divisors (1).

414107693 is an equidigital number, since it uses as much as digits as its factorization.

414107693 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 414107693 is about 20349.6361883941. The cubic root of 414107693 is about 745.3686105863.

The spelling of 414107693 in words is "four hundred fourteen million, one hundred seven thousand, six hundred ninety-three".