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414244114429 is a prime number
BaseRepresentation
bin1100000011100101101…
…11111000111111111101
31110121020101101100121111
412001302313320333331
523241332443130204
6514145013002021
741633232606265
oct6016267707775
91417211340544
10414244114429
1114a7530043a2
1268349623311
13300a86aba12
1416099c627a5
15ab9719bd04
hex6072df8ffd

414244114429 has 2 divisors, whose sum is σ = 414244114430. Its totient is φ = 414244114428.

The previous prime is 414244114373. The next prime is 414244114469. The reversal of 414244114429 is 924411442414.

It is a happy number.

It is an a-pointer prime, because the next prime (414244114469) can be obtained adding 414244114429 to its sum of digits (40).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 357789404025 + 56454710404 = 598155^2 + 237602^2 .

It is a cyclic number.

It is not a de Polignac number, because 414244114429 - 29 = 414244113917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414244114391 and 414244114400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414244114469) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207122057214 + 207122057215.

It is an arithmetic number, because the mean of its divisors is an integer number (207122057215).

Almost surely, 2414244114429 is an apocalyptic number.

It is an amenable number.

414244114429 is a deficient number, since it is larger than the sum of its proper divisors (1).

414244114429 is an equidigital number, since it uses as much as digits as its factorization.

414244114429 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 147456, while the sum is 40.

The spelling of 414244114429 in words is "four hundred fourteen billion, two hundred forty-four million, one hundred fourteen thousand, four hundred twenty-nine".