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2541311441 = 29372368417
BaseRepresentation
bin1001011101111001…
…0101010111010001
320120002220222220222
42113132111113101
520201033431231
61100101042425
7116655535154
oct22736252721
96502828828
102541311441
11109455a999
125ab0b6415
13316664ba6
141a1725c9b
15ed18b27b
hex977955d1

2541311441 has 8 divisors (see below), whose sum is σ = 2699996520. Its totient is φ = 2387363328.

The previous prime is 2541311413. The next prime is 2541311467. The reversal of 2541311441 is 1441131452.

It can be written as a sum of positive squares in 4 ways, for example, as 576960400 + 1964351041 = 24020^2 + 44321^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2541311441 - 210 = 2541310417 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2541311441.

It is not an unprimeable number, because it can be changed into a prime (2541311401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1183136 + ... + 1185281.

It is an arithmetic number, because the mean of its divisors is an integer number (337499565).

Almost surely, 22541311441 is an apocalyptic number.

It is an amenable number.

2541311441 is a deficient number, since it is larger than the sum of its proper divisors (158685079).

2541311441 is a wasteful number, since it uses less digits than its factorization.

2541311441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368483.

The product of its digits is 1920, while the sum is 26.

The square root of 2541311441 is about 50411.4217315878. The cubic root of 2541311441 is about 1364.6437711305.

Adding to 2541311441 its reverse (1441131452), we get a palindrome (3982442893).

The spelling of 2541311441 in words is "two billion, five hundred forty-one million, three hundred eleven thousand, four hundred forty-one".

Divisors: 1 29 37 1073 2368417 68684093 87631429 2541311441