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2540114041 = 174123315641
BaseRepresentation
bin1001011101100111…
…0001000001111001
320120000200011101211
42113121301001321
520200232122131
61100015243121
7116642420203
oct22731610171
96500604354
102540114041
111093912303
125aa8194a1
13316335b7a
141a14d3773
15ed0015b1
hex97671079

2540114041 has 16 divisors (see below), whose sum is σ = 2767132368. Its totient is φ = 2322227200.

The previous prime is 2540114021. The next prime is 2540114051. The reversal of 2540114041 is 1404110452.

2540114041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 11532816 + 2528581225 = 3396^2 + 50285^2 .

It is not a de Polignac number, because 2540114041 - 227 = 2405896313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2540114021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154581 + ... + 170221.

It is an arithmetic number, because the mean of its divisors is an integer number (172945773).

Almost surely, 22540114041 is an apocalyptic number.

It is an amenable number.

2540114041 is a deficient number, since it is larger than the sum of its proper divisors (227018327).

2540114041 is a wasteful number, since it uses less digits than its factorization.

2540114041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15932.

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2540114041 is about 50399.5440554773. The cubic root of 2540114041 is about 1364.4294092163.

Adding to 2540114041 its reverse (1404110452), we get a palindrome (3944224493).

The spelling of 2540114041 in words is "two billion, five hundred forty million, one hundred fourteen thousand, forty-one".

Divisors: 1 17 41 233 697 3961 9553 15641 162401 265897 641281 3644353 10901777 61954001 149418473 2540114041