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2400134041 is a prime number
BaseRepresentation
bin1000111100001111…
…0010001110011001
320012021021102221101
42033003302032121
514403413242131
61034055111401
7113322542224
oct21703621631
96167242841
102400134041
1110218a4258
1256b972561
132c3334976
1418aa965bb
15e0aa0c61
hex8f0f2399

2400134041 has 2 divisors, whose sum is σ = 2400134042. Its totient is φ = 2400134040.

The previous prime is 2400134039. The next prime is 2400134063. The reversal of 2400134041 is 1404310042.

2400134041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1618372441 + 781761600 = 40229^2 + 27960^2 .

It is a cyclic number.

It is not a de Polignac number, because 2400134041 - 21 = 2400134039 is a prime.

Together with 2400134039, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2400134071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200067020 + 1200067021.

It is an arithmetic number, because the mean of its divisors is an integer number (1200067021).

Almost surely, 22400134041 is an apocalyptic number.

It is an amenable number.

2400134041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400134041 is an equidigital number, since it uses as much as digits as its factorization.

2400134041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2400134041 is about 48991.1628867901. The cubic root of 2400134041 is about 1338.8908251065.

Adding to 2400134041 its reverse (1404310042), we get a palindrome (3804444083).

The spelling of 2400134041 in words is "two billion, four hundred million, one hundred thirty-four thousand, forty-one".