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414114433 is a prime number
BaseRepresentation
bin11000101011101…
…110001010000001
31001212020012012121
4120223232022001
51322003130213
6105031524241
713155625465
oct3053561201
91055205177
10414114433
111a2836337
12b6829681
1367a43b35
143cdda4a5
152655088d
hex18aee281

414114433 has 2 divisors, whose sum is σ = 414114434. Its totient is φ = 414114432.

The previous prime is 414114413. The next prime is 414114439. The reversal of 414114433 is 334411414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 271359729 + 142754704 = 16473^2 + 11948^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-414114433 is a prime.

It is a super-2 number, since 2×4141144332 = 342981527237822978, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414114398 and 414114407.

It is not a weakly prime, because it can be changed into another prime (414114439) 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, 207057216 + 207057217.

It is an arithmetic number, because the mean of its divisors is an integer number (207057217).

Almost surely, 2414114433 is an apocalyptic number.

It is an amenable number.

414114433 is a deficient number, since it is larger than the sum of its proper divisors (1).

414114433 is an equidigital number, since it uses as much as digits as its factorization.

414114433 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 25.

The square root of 414114433 is about 20349.8017926465. The cubic root of 414114433 is about 745.3726544275.

Adding to 414114433 its reverse (334411414), we get a palindrome (748525847).

The spelling of 414114433 in words is "four hundred fourteen million, one hundred fourteen thousand, four hundred thirty-three".