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4140515317 is a prime number
BaseRepresentation
bin1111011011001011…
…0011111111110101
3101200120002222020011
43312302303333311
531434432442232
61522505340221
7204414541141
oct36662637765
911616088204
104140515317
111835238494
12976797671
1350ca7c483
142b3c90221
1519377e547
hexf6cb3ff5

4140515317 has 2 divisors, whose sum is σ = 4140515318. Its totient is φ = 4140515316.

The previous prime is 4140515293. The next prime is 4140515329. The reversal of 4140515317 is 7135150414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2941001361 + 1199513956 = 54231^2 + 34634^2 .

It is a cyclic number.

It is not a de Polignac number, because 4140515317 - 219 = 4139991029 is a prime.

It is a super-3 number, since 3×41405153173 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4140515417) 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 as a sum of consecutive naturals, namely, 2070257658 + 2070257659.

It is an arithmetic number, because the mean of its divisors is an integer number (2070257659).

Almost surely, 24140515317 is an apocalyptic number.

It is an amenable number.

4140515317 is a deficient number, since it is larger than the sum of its proper divisors (1).

4140515317 is an equidigital number, since it uses as much as digits as its factorization.

4140515317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 4140515317 is about 64346.8361071467. The cubic root of 4140515317 is about 1605.7753931722.

The spelling of 4140515317 in words is "four billion, one hundred forty million, five hundred fifteen thousand, three hundred seventeen".