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2414401001 is a prime number
BaseRepresentation
bin1000111111101000…
…1101010111101001
320020021010021112022
42033322031113221
514421041313001
61035324554225
7113555032655
oct21772152751
96207107468
102414401001
111029959231
125746b2975
132c628b75c
1418c92ba65
15e1e6d11b
hex8fe8d5e9

2414401001 has 2 divisors, whose sum is σ = 2414401002. Its totient is φ = 2414401000.

The previous prime is 2414400991. The next prime is 2414401037. The reversal of 2414401001 is 1001044142.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2227368025 + 187032976 = 47195^2 + 13676^2 .

It is a cyclic number.

It is not a de Polignac number, because 2414401001 - 222 = 2410206697 is a prime.

It is not a weakly prime, because it can be changed into another prime (2414401501) 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, 1207200500 + 1207200501.

It is an arithmetic number, because the mean of its divisors is an integer number (1207200501).

Almost surely, 22414401001 is an apocalyptic number.

It is an amenable number.

2414401001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2414401001 is an equidigital number, since it uses as much as digits as its factorization.

2414401001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2414401001 is about 49136.5546309466. The cubic root of 2414401001 is about 1341.5384796802.

Adding to 2414401001 its reverse (1001044142), we get a palindrome (3415445143).

The spelling of 2414401001 in words is "two billion, four hundred fourteen million, four hundred one thousand, one".