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5340130271141 = 314718139195167
BaseRepresentation
bin100110110110101100010…
…0100010101111110100101
3200220111210212020011001212
41031231120210111332211
51144443041322134031
615205115540401205
71060545256235531
oct115553044257645
920814725204055
105340130271141
1117798113594a6
12722b529a6205
132c9758c57433
1414666c4c6bc1
1593d9804b12b
hex4db58915fa5

5340130271141 has 32 divisors (see below), whose sum is σ = 5663320965120. Its totient is φ = 5027712379200.

The previous prime is 5340130271129. The next prime is 5340130271143. The reversal of 5340130271141 is 1411720310435.

5340130271141 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 5340130271141 - 214 = 5340130254757 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5340130271098 and 5340130271107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5340130271143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1033504340 + ... + 1033509506.

It is an arithmetic number, because the mean of its divisors is an integer number (176978780160).

Almost surely, 25340130271141 is an apocalyptic number.

It is an amenable number.

5340130271141 is a deficient number, since it is larger than the sum of its proper divisors (323190693979).

5340130271141 is a wasteful number, since it uses less digits than its factorization.

5340130271141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9345.

The product of its (nonzero) digits is 10080, while the sum is 32.

Adding to 5340130271141 its reverse (1411720310435), we get a palindrome (6751850581576).

The spelling of 5340130271141 in words is "five trillion, three hundred forty billion, one hundred thirty million, two hundred seventy-one thousand, one hundred forty-one".

Divisors: 1 31 47 181 1457 3919 5167 5611 8507 121489 160177 184193 242849 263717 709339 935227 5709983 7528319 20249473 21989509 28992037 33338933 43955669 627733663 951725231 1033506923 1362625739 3665154613 29503482161 113619793003 172262266811 5340130271141