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6144516313 = 13974872733
BaseRepresentation
bin1011011100011110…
…11110000011011001
3120212012222202210021
411232033132003121
5100040444010223
62453414150441
7305160345505
oct55617360331
916765882707
106144516313
112673468061
121235952421
1376bcc7990
144240ab305
1525e68265d
hex16e3de0d9

6144516313 has 8 divisors (see below), whose sum is σ = 6685391048. Its totient is φ = 5613387264.

The previous prime is 6144516307. The next prime is 6144516331. The reversal of 6144516313 is 3136154416.

It can be written as a sum of positive squares in 4 ways, for example, as 18636489 + 6125879824 = 4317^2 + 78268^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6144516313 - 229 = 5607645401 is a prime.

It is a super-2 number, since 2×61445163132 = 75510161441446227938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6144516113) 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 in 7 ways as a sum of consecutive naturals, for example, 2435106 + ... + 2437627.

It is an arithmetic number, because the mean of its divisors is an integer number (835673881).

Almost surely, 26144516313 is an apocalyptic number.

It is an amenable number.

6144516313 is a deficient number, since it is larger than the sum of its proper divisors (540874735).

6144516313 is a wasteful number, since it uses less digits than its factorization.

6144516313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872843.

The product of its digits is 25920, while the sum is 34.

The square root of 6144516313 is about 78386.9651983032. The cubic root of 6144516313 is about 1831.5940914091.

The spelling of 6144516313 in words is "six billion, one hundred forty-four million, five hundred sixteen thousand, three hundred thirteen".

Divisors: 1 13 97 1261 4872733 63345529 472655101 6144516313