Search a number
-
+
11324144034 = 2337233312841
BaseRepresentation
bin10101000101111100…
…01011100110100010
31002020012101010021000
422202332023212202
5141142440102114
65111403412430
7550423431120
oct124276134642
932205333230
1011324144034
114891203025
122240524116
1310b6129b58
14795d6a910
1546426be09
hex2a2f8b9a2

11324144034 has 64 divisors (see below), whose sum is σ = 28774298880. Its totient is φ = 3233831040.

The previous prime is 11324144011. The next prime is 11324144063. The reversal of 11324144034 is 43044142311.

11324144034 is a `hidden beast` number, since 1 + 13 + 241 + 4 + 403 + 4 = 666.

11324144034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11324143989 and 11324144007.

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 31 ways as a sum of consecutive naturals, for example, 875454 + ... + 888294.

It is an arithmetic number, because the mean of its divisors is an integer number (449598420).

Almost surely, 211324144034 is an apocalyptic number.

11324144034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11324144034 is an abundant number, since it is smaller than the sum of its proper divisors (17450154846).

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

11324144034 is a wasteful number, since it uses less digits than its factorization.

11324144034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15192 (or 15186 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11324144034 its reverse (43044142311), we get a palindrome (54368286345).

The spelling of 11324144034 in words is "eleven billion, three hundred twenty-four million, one hundred forty-four thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 2333 4666 6999 12841 13998 16331 20997 25682 32662 38523 41994 48993 62991 77046 89887 97986 115569 125982 146979 179774 231138 269661 293958 346707 440937 539322 693414 808983 881874 1617966 2426949 4853898 29958053 59916106 89874159 179748318 209706371 269622477 419412742 539244954 629119113 808867431 1258238226 1617734862 1887357339 3774714678 5662072017 11324144034