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414841007299 is a prime number
BaseRepresentation
bin1100000100101100111…
…00110110110011000011
31110122202222112122200211
412002112130312303003
523244043244213144
6514324134254551
741654101244605
oct6022634666303
91418688478624
10414841007299
1114aa29a2a894
12684954b7457
133017225a274
141611523b175
15abce7a4034
hex6096736cc3

414841007299 has 2 divisors, whose sum is σ = 414841007300. Its totient is φ = 414841007298.

The previous prime is 414841007297. The next prime is 414841007359. The reversal of 414841007299 is 992700148414.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 414841007299 - 21 = 414841007297 is a prime.

It is a super-2 number, since 2×4148410072992 (a number of 24 digits) contains 22 as substring.

Together with 414841007297, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (414841007291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207420503649 + 207420503650.

It is an arithmetic number, because the mean of its divisors is an integer number (207420503650).

Almost surely, 2414841007299 is an apocalyptic number.

414841007299 is a deficient number, since it is larger than the sum of its proper divisors (1).

414841007299 is an equidigital number, since it uses as much as digits as its factorization.

414841007299 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 414841007299 in words is "four hundred fourteen billion, eight hundred forty-one million, seven thousand, two hundred ninety-nine".