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414518441 is a prime number
BaseRepresentation
bin11000101101010…
…000110010101001
31001212222201101212
4120231100302221
51322104042231
6105044322505
713162230401
oct3055206251
91055881355
10414518441
111a2a91927
12b69a3435
1367b559ac
143d0a3801
15265d042b
hex18b50ca9

414518441 has 2 divisors, whose sum is σ = 414518442. Its totient is φ = 414518440.

The previous prime is 414518411. The next prime is 414518471. The reversal of 414518441 is 144815414.

It is a balanced prime because it is at equal distance from previous prime (414518411) and next prime (414518471).

It can be written as a sum of positive squares in only one way, i.e., 302899216 + 111619225 = 17404^2 + 10565^2 .

It is a cyclic number.

It is not a de Polignac number, because 414518441 - 226 = 347409577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414518398 and 414518407.

It is not a weakly prime, because it can be changed into another prime (414518411) 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, 207259220 + 207259221.

It is an arithmetic number, because the mean of its divisors is an integer number (207259221).

Almost surely, 2414518441 is an apocalyptic number.

It is an amenable number.

414518441 is a deficient number, since it is larger than the sum of its proper divisors (1).

414518441 is an equidigital number, since it uses as much as digits as its factorization.

414518441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10240, while the sum is 32.

The square root of 414518441 is about 20359.7259559160. The cubic root of 414518441 is about 745.6149696068.

The spelling of 414518441 in words is "four hundred fourteen million, five hundred eighteen thousand, four hundred forty-one".