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4131303330141 = 321366153419493
BaseRepresentation
bin111100000111100100110…
…111100001000101011101
3112121221121122001222101200
4330013210313201011131
51020141402123031031
612441521120030113
7604322355620601
oct74074467410535
915557548058350
104131303330141
111353092032a49
12568811162339
1323c770a02c20
14103d55955501
15726e846a8e6
hex3c1e4de115d

4131303330141 has 24 divisors (see below), whose sum is σ = 6436194315096. Its totient is φ = 2538494259840.

The previous prime is 4131303330139. The next prime is 4131303330151. The reversal of 4131303330141 is 1410333031314.

4131303330141 is a `hidden beast` number, since 4 + 1 + 313 + 0 + 3 + 3 + 301 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75292616025 + 4056010714116 = 274395^2 + 2013954^2 .

It is not a de Polignac number, because 4131303330141 - 21 = 4131303330139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131303330101) 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, 26632410 + ... + 26787083.

It is an arithmetic number, because the mean of its divisors is an integer number (268174763129).

Almost surely, 24131303330141 is an apocalyptic number.

It is an amenable number.

4131303330141 is a deficient number, since it is larger than the sum of its proper divisors (2304890984955).

4131303330141 is a wasteful number, since it uses less digits than its factorization.

4131303330141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53420173 (or 53420170 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 4131303330141 its reverse (1410333031314), we get a palindrome (5541636361455).

The spelling of 4131303330141 in words is "four trillion, one hundred thirty-one billion, three hundred three million, three hundred thirty thousand, one hundred forty-one".

Divisors: 1 3 9 13 39 117 661 1983 5949 8593 25779 77337 53419493 160258479 480775437 694453409 2083360227 6250080681 35310284873 105930854619 317792563857 459033703349 1377101110047 4131303330141