Search a number
-
+
206340313104 = 24321432918841
BaseRepresentation
bin1100000000101011010…
…1110101000000010000
3201201121012200221222200
43000022311311000100
511340041110004404
6234442541003200
720623206502602
oct3001265650020
9651535627880
10206340313104
117a565800292
1233ba6b53500
13165c4a5bc33
149db6199172
155579dd0839
hex300ad75010

206340313104 has 30 divisors (see below), whose sum is σ = 577466293326. Its totient is φ = 68780104320.

The previous prime is 206340313099. The next prime is 206340313121. The reversal of 206340313104 is 401313043602.

206340313104 is a `hidden beast` number, since 2 + 0 + 6 + 340 + 3 + 1 + 310 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 166180153104 + 40160160000 = 407652^2 + 200400^2 .

It is a super-2 number, since 2×2063403131042 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 716459277 + ... + 716459564.

Almost surely, 2206340313104 is an apocalyptic number.

206340313104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

206340313104 is an abundant number, since it is smaller than the sum of its proper divisors (371125980222).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

206340313104 is a wasteful number, since it uses less digits than its factorization.

206340313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432918855 (or 1432918846 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 206340313104 its reverse (401313043602), we get a palindrome (607653356706).

The spelling of 206340313104 in words is "two hundred six billion, three hundred forty million, three hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1432918841 2865837682 4298756523 5731675364 8597513046 11463350728 12896269569 17195026092 22926701456 25792539138 34390052184 51585078276 68780104368 103170156552 206340313104