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2400241141 is a prime number
BaseRepresentation
bin1000111100010000…
…1100010111110101
320012021110212212001
42033010030113311
514403430204031
61034101255301
7113323466404
oct21704142765
96167425761
102400241141
111021967771
1256ba04531
132c337163c
1418aac363b
15e0ac2861
hex8f10c5f5

2400241141 has 2 divisors, whose sum is σ = 2400241142. Its totient is φ = 2400241140.

The previous prime is 2400241133. The next prime is 2400241159. The reversal of 2400241141 is 1411420042.

2400241141 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., 2245338225 + 154902916 = 47385^2 + 12446^2 .

It is a cyclic number.

It is not a de Polignac number, because 2400241141 - 23 = 2400241133 is a prime.

It is a super-2 number, since 2×24002411412 = 11522315069897963762, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2400248141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200120570 + 1200120571.

It is an arithmetic number, because the mean of its divisors is an integer number (1200120571).

Almost surely, 22400241141 is an apocalyptic number.

It is an amenable number.

2400241141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400241141 is an equidigital number, since it uses as much as digits as its factorization.

2400241141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2400241141 is about 48992.2559288710. The cubic root of 2400241141 is about 1338.9107396990.

Adding to 2400241141 its reverse (1411420042), we get a palindrome (3811661183).

It can be divided in two parts, 240024 and 1141, that added together give a triangular number (241165 = T694).

The spelling of 2400241141 in words is "two billion, four hundred million, two hundred forty-one thousand, one hundred forty-one".