Search a number
-
+
30413311404 = 223729471032579
BaseRepresentation
bin11100010100110001…
…100100110110101100
32220111120000022000220
4130110301210312230
5444241301431104
621545514451340
72124445611240
oct342461446654
986446008026
1030413311404
1111997581003
125a89433b50
132b38bb7568
1416872b6420
15bd006b7d9
hex714c64dac

30413311404 has 192 divisors, whose sum is σ = 86549299200. Its totient is φ = 8128495872.

The previous prime is 30413311337. The next prime is 30413311417. The reversal of 30413311404 is 40411331403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11791387 + ... + 11793965.

It is an arithmetic number, because the mean of its divisors is an integer number (450777600).

Almost surely, 230413311404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30413311404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43274649600).

30413311404 is an abundant number, since it is smaller than the sum of its proper divisors (56135987796).

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

30413311404 is a wasteful number, since it uses less digits than its factorization.

30413311404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 30413311404 its reverse (40411331403), we get a palindrome (70824642807).

The spelling of 30413311404 in words is "thirty billion, four hundred thirteen million, three hundred eleven thousand, four hundred four".