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2444132401 is a prime number
BaseRepresentation
bin1001000110101110…
…1000000000110001
320022100001210100021
42101223220000301
520001144214101
61042310123441
7114365532304
oct22153500061
96270053307
102444132401
111044715937
12582650581
132cc49b3b9
1419286ab3b
15e48925a1
hex91ae8031

2444132401 has 2 divisors, whose sum is σ = 2444132402. Its totient is φ = 2444132400.

The previous prime is 2444132371. The next prime is 2444132417. The reversal of 2444132401 is 1042314442.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2415231025 + 28901376 = 49145^2 + 5376^2 .

It is a cyclic number.

It is not a de Polignac number, because 2444132401 - 29 = 2444131889 is a prime.

It is not a weakly prime, because it can be changed into another prime (2444112401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1222066200 + 1222066201.

It is an arithmetic number, because the mean of its divisors is an integer number (1222066201).

Almost surely, 22444132401 is an apocalyptic number.

It is an amenable number.

2444132401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2444132401 is an equidigital number, since it uses as much as digits as its factorization.

2444132401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2444132401 is about 49438.1674518787. The cubic root of 2444132401 is about 1347.0226843232.

Adding to 2444132401 its reverse (1042314442), we get a palindrome (3486446843).

The spelling of 2444132401 in words is "two billion, four hundred forty-four million, one hundred thirty-two thousand, four hundred one".