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241414454401 is a prime number
BaseRepresentation
bin1110000011010101101…
…1000011110010000001
3212002010120212221122221
43200311123003302001
512423404100020101
6302523153331041
723304322001401
oct3406533036201
9762116787587
10241414454401
119342419081a
123a955266a81
13199c44413b3
14b982484801
15642e208aa1
hex38356c3c81

241414454401 has 2 divisors, whose sum is σ = 241414454402. Its totient is φ = 241414454400.

The previous prime is 241414454399. The next prime is 241414454429. The reversal of 241414454401 is 104454414142.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 164796214401 + 76618240000 = 405951^2 + 276800^2 .

It is a cyclic number.

It is not a de Polignac number, because 241414454401 - 21 = 241414454399 is a prime.

Together with 241414454399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (241414454201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120707227200 + 120707227201.

It is an arithmetic number, because the mean of its divisors is an integer number (120707227201).

Almost surely, 2241414454401 is an apocalyptic number.

It is an amenable number.

241414454401 is a deficient number, since it is larger than the sum of its proper divisors (1).

241414454401 is an equidigital number, since it uses as much as digits as its factorization.

241414454401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40960, while the sum is 34.

Adding to 241414454401 its reverse (104454414142), we get a palindrome (345868868543).

The spelling of 241414454401 in words is "two hundred forty-one billion, four hundred fourteen million, four hundred fifty-four thousand, four hundred one".