Search a number
-
+
318000920041 = 7174165177479
BaseRepresentation
bin1001010000010100101…
…01001111010111101001
31010101211000211111211101
410220022111033113221
520202231213420131
6402030531201401
731655234135650
oct4501225172751
91111730744741
10318000920041
11112955257a22
1251769a46261
1323cab2c1b9c
1411569b2c197
158412b99c61
hex4a0a54f5e9

318000920041 has 16 divisors (see below), whose sum is σ = 394193399040. Its totient is φ = 250281515520.

The previous prime is 318000920033. The next prime is 318000920071. The reversal of 318000920041 is 140029000813.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 318000920041 - 23 = 318000920033 is a prime.

It is a super-3 number, since 3×3180009200413 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 318000919991 and 318000920009.

It is not an unprimeable number, because it can be changed into a prime (318000920071) 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 15 ways as a sum of consecutive naturals, for example, 32583861 + ... + 32593618.

It is an arithmetic number, because the mean of its divisors is an integer number (24637087440).

Almost surely, 2318000920041 is an apocalyptic number.

It is an amenable number.

318000920041 is a deficient number, since it is larger than the sum of its proper divisors (76192478999).

318000920041 is a wasteful number, since it uses less digits than its factorization.

318000920041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65177544.

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 318000920041 its reverse (140029000813), we get a palindrome (458029920854).

The spelling of 318000920041 in words is "three hundred eighteen billion, nine hundred twenty thousand, forty-one".

Divisors: 1 7 17 41 119 287 697 4879 65177479 456242353 1108017143 2672276639 7756120001 18705936473 45428702863 318000920041