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2024141303041 = 112131775694301
BaseRepresentation
bin11101011101001000001…
…110010010110100000001
321011111122212222002222221
4131131020032102310001
5231130420133144131
64145513324531041
7266145052123534
oct35351016226401
97144585862887
102024141303041
11710484aa6100
122883609b0a81
13118b4cc05b80
146dd7cb8ca1b
15379bc5d1411
hex1d748392d01

2024141303041 has 24 divisors (see below), whose sum is σ = 2536970225832. Its totient is φ = 1598663616000.

The previous prime is 2024141303021. The next prime is 2024141303057. The reversal of 2024141303041 is 1403031414202.

It can be written as a sum of positive squares in 4 ways, for example, as 734626816 + 2023406676225 = 27104^2 + 1422465^2 .

It is not a de Polignac number, because 2024141303041 - 29 = 2024141302529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2024141302997 and 2024141303015.

It is not an unprimeable number, because it can be changed into a prime (2024141303021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37820410 + ... + 37873891.

It is an arithmetic number, because the mean of its divisors is an integer number (105707092743).

Almost surely, 22024141303041 is an apocalyptic number.

It is an amenable number.

2024141303041 is a deficient number, since it is larger than the sum of its proper divisors (512828922791).

2024141303041 is a wasteful number, since it uses less digits than its factorization.

2024141303041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75694353 (or 75694342 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 2024141303041 its reverse (1403031414202), we get a palindrome (3427172717243).

The spelling of 2024141303041 in words is "two trillion, twenty-four billion, one hundred forty-one million, three hundred three thousand, forty-one".

Divisors: 1 11 13 17 121 143 187 221 1573 2057 2431 26741 75694301 832637311 984025913 1286803117 9159010421 10824285043 14154834287 16728440521 119067135473 155703177157 184012845731 2024141303041