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6414117313 is a prime number
BaseRepresentation
bin1011111100100111…
…11010100111000001
3121120000021220211111
411332103322213001
5101114003223223
62540244443321
7314643045322
oct57623724701
917500256744
106414117313
1127a16692aa
1212b00a9541
137b2b10cb6
1444bc0a449
1527818930d
hex17e4fa9c1

6414117313 has 2 divisors, whose sum is σ = 6414117314. Its totient is φ = 6414117312.

The previous prime is 6414117301. The next prime is 6414117343. The reversal of 6414117313 is 3137114146.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5605966129 + 808151184 = 74873^2 + 28428^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-6414117313 is a prime.

It is a super-2 number, since 2×64141173132 = 82281801809852679938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (6414117343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3207058656 + 3207058657.

It is an arithmetic number, because the mean of its divisors is an integer number (3207058657).

Almost surely, 26414117313 is an apocalyptic number.

It is an amenable number.

6414117313 is a deficient number, since it is larger than the sum of its proper divisors (1).

6414117313 is an equidigital number, since it uses as much as digits as its factorization.

6414117313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 31.

The square root of 6414117313 is about 80088.1846029737. The cubic root of 6414117313 is about 1857.9996718000. Note that the first 3 decimals are identical.

The spelling of 6414117313 in words is "six billion, four hundred fourteen million, one hundred seventeen thousand, three hundred thirteen".