Search a number
-
+
3008303053249 = 13322617172993
BaseRepresentation
bin101011110001101100110…
…101011011100111000001
3101122120221210221002020211
4223301230311123213001
5343242001040200444
610221554554434121
7430225361021314
oct53615465334701
911576853832224
103008303053249
11a5a8a571355a
12407042732941
1318a8b2a9c770
14a586192a97b
15533bd652c34
hex2bc6cd5b9c1

3008303053249 has 8 divisors (see below), whose sum is σ = 3239811853992. Its totient is φ = 2776808663040.

The previous prime is 3008303053243. The next prime is 3008303053267. The reversal of 3008303053249 is 9423503038003.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 324580878400 + 2683722174849 = 569720^2 + 1638207^2 .

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 3008303053249 - 27 = 3008303053121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3008303053243) 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 7 ways as a sum of consecutive naturals, for example, 3167104 + ... + 4005889.

It is an arithmetic number, because the mean of its divisors is an integer number (404976481749).

Almost surely, 23008303053249 is an apocalyptic number.

It is an amenable number.

3008303053249 is a deficient number, since it is larger than the sum of its proper divisors (231508800743).

3008303053249 is a wasteful number, since it uses less digits than its factorization.

3008303053249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7205267.

The product of its (nonzero) digits is 233280, while the sum is 40.

The spelling of 3008303053249 in words is "three trillion, eight billion, three hundred three million, fifty-three thousand, two hundred forty-nine".

Divisors: 1 13 32261 419393 7172993 93248909 231407927173 3008303053249