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11424440004 = 22319974331193
BaseRepresentation
bin10101010001111001…
…10001111011000100
31002111012002200110120
422220330301323010
5141344124040004
65125345221540
7553052065155
oct125074617304
932435080416
1011424440004
11493288695a
12226a0318b0
131100b45293
147a53d792c
1546ce7e3d9
hex2a8f31ec4

11424440004 has 96 divisors (see below), whose sum is σ = 28438596480. Its totient is φ = 3559292928.

The previous prime is 11424439997. The next prime is 11424440029. The reversal of 11424440004 is 40004442411.

It is a happy number.

11424440004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 9575632 + ... + 9576824.

It is an arithmetic number, because the mean of its divisors is an integer number (296235380).

Almost surely, 211424440004 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 11424440004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14219298240).

11424440004 is an abundant number, since it is smaller than the sum of its proper divisors (17014156476).

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

11424440004 is a wasteful number, since it uses less digits than its factorization.

11424440004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 11424440004 its reverse (40004442411), we get a palindrome (51428882415).

The spelling of 11424440004 in words is "eleven billion, four hundred twenty-four million, four hundred forty thousand, four".

Divisors: 1 2 3 4 6 12 19 38 57 76 97 114 194 228 291 388 433 582 866 1164 1193 1299 1732 1843 2386 2598 3579 3686 4772 5196 5529 7158 7372 8227 11058 14316 16454 22116 22667 24681 32908 42001 45334 49362 68001 84002 90668 98724 115721 126003 136002 168004 231442 252006 272004 347163 462884 504012 516569 694326 798019 1033138 1388652 1549707 1596038 2066276 2198699 2394057 3099414 3192076 4397398 4788114 6198828 6596097 8794796 9576228 9814811 13192194 19629622 26384388 29444433 39259244 50107193 58888866 100214386 117777732 150321579 200428772 300643158 601286316 952036667 1904073334 2856110001 3808146668 5712220002 11424440004