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304261307413 = 72173106133829
BaseRepresentation
bin1000110110101110110…
…00110001110000010101
31002002100111022212120121
410123113120301300111
514441111343314123
6351435315431541
730660610304200
oct4332730616025
91062314285517
10304261307413
11108044637668
124ab745b55b1
13228cb92169b
1410a25076937
157dab84d75d
hex46d7631c15

304261307413 has 24 divisors (see below), whose sum is σ = 356328548280. Its totient is φ = 259035880320.

The previous prime is 304261307387. The next prime is 304261307419. The reversal of 304261307413 is 314703162403.

It can be written as a sum of positive squares in 4 ways, for example, as 165923431569 + 138337875844 = 407337^2 + 371938^2 .

It is not a de Polignac number, because 304261307413 - 29 = 304261306901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304261307419) 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 23 ways as a sum of consecutive naturals, for example, 8977183 + ... + 9011011.

It is an arithmetic number, because the mean of its divisors is an integer number (14847022845).

Almost surely, 2304261307413 is an apocalyptic number.

It is an amenable number.

304261307413 is a deficient number, since it is larger than the sum of its proper divisors (52067240867).

304261307413 is a wasteful number, since it uses less digits than its factorization.

304261307413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35077 (or 35070 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

Adding to 304261307413 its reverse (314703162403), we get a palindrome (618964469816).

The spelling of 304261307413 in words is "three hundred four billion, two hundred sixty-one million, three hundred seven thousand, four hundred thirteen".

Divisors: 1 7 49 173 1061 1211 7427 8477 33829 51989 183553 236803 1284871 1657621 5852417 8994097 35892569 40966919 251247983 286768433 1758735881 6209414437 43465901059 304261307413