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2400144053 is a prime number
BaseRepresentation
bin1000111100001111…
…0100101010110101
320012021021221200012
42033003310222311
514403414102203
61034055230005
7113322613346
oct21703645265
96167257605
102400144053
11102190082a
1256b978305
132c33393a8
1418aa9a0cd
15e0aa3bd8
hex8f0f4ab5

2400144053 has 2 divisors, whose sum is σ = 2400144054. Its totient is φ = 2400144052.

The previous prime is 2400143989. The next prime is 2400144067. The reversal of 2400144053 is 3504410042.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2032386724 + 367757329 = 45082^2 + 19177^2 .

It is a cyclic number.

It is not a de Polignac number, because 2400144053 - 26 = 2400143989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2400144653) 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, 1200072026 + 1200072027.

It is an arithmetic number, because the mean of its divisors is an integer number (1200072027).

Almost surely, 22400144053 is an apocalyptic number.

It is an amenable number.

2400144053 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400144053 is an equidigital number, since it uses as much as digits as its factorization.

2400144053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2400144053 is about 48991.2650683772. The cubic root of 2400144053 is about 1338.8926868020.

Adding to 2400144053 its reverse (3504410042), we get a palindrome (5904554095).

The spelling of 2400144053 in words is "two billion, four hundred million, one hundred forty-four thousand, fifty-three".