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414419609 is a prime number
BaseRepresentation
bin11000101100111…
…000101010011001
31001212210200211102
4120230320222121
51322042411414
6105042241145
713161336302
oct3054705231
91055720742
10414419609
111a2a2464a
12b69561b5
1367b1ca06
143d0797a9
15265b0ede
hex18b38a99

414419609 has 2 divisors, whose sum is σ = 414419610. Its totient is φ = 414419608.

The previous prime is 414419549. The next prime is 414419617. The reversal of 414419609 is 906914414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 367565584 + 46854025 = 19172^2 + 6845^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-414419609 is a prime.

It is a super-2 number, since 2×4144196092 = 343487224647425762, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (414416609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207209804 + 207209805.

It is an arithmetic number, because the mean of its divisors is an integer number (207209805).

Almost surely, 2414419609 is an apocalyptic number.

It is an amenable number.

414419609 is a deficient number, since it is larger than the sum of its proper divisors (1).

414419609 is an equidigital number, since it uses as much as digits as its factorization.

414419609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 414419609 is about 20357.2986665717. The cubic root of 414419609 is about 745.5557068827. Note that the first 3 decimals are identical.

The spelling of 414419609 in words is "four hundred fourteen million, four hundred nineteen thousand, six hundred nine".