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414105613 is a prime number
BaseRepresentation
bin11000101011101…
…100000000001101
31001212012202002221
4120223230000031
51322002334423
6105031415341
713155560665
oct3053540015
91055182087
10414105613
111a282a749
12b6824551
1367a3cb0c
143cdd71a5
152654ce5d
hex18aec00d

414105613 has 2 divisors, whose sum is σ = 414105614. Its totient is φ = 414105612.

The previous prime is 414105569. The next prime is 414105619. The reversal of 414105613 is 316501414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 348867684 + 65237929 = 18678^2 + 8077^2 .

It is a cyclic number.

It is not a de Polignac number, because 414105613 - 29 = 414105101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414105619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207052806 + 207052807.

It is an arithmetic number, because the mean of its divisors is an integer number (207052807).

Almost surely, 2414105613 is an apocalyptic number.

It is an amenable number.

414105613 is a deficient number, since it is larger than the sum of its proper divisors (1).

414105613 is an equidigital number, since it uses as much as digits as its factorization.

414105613 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 414105613 is about 20349.5850817652. The cubic root of 414105613 is about 745.3673626265.

The spelling of 414105613 in words is "four hundred fourteen million, one hundred five thousand, six hundred thirteen".