Search a number
-
+
11441300424 = 2331744216343
BaseRepresentation
bin10101010011111010…
…00110001111001000
31002112100211021121120
422221331012033020
5141412433103144
65131150435240
7553345310001
oct125175061710
932470737546
1011441300424
114941352394
122273802b20
131104499668
147a77461a8
1546e6aee19
hex2a9f463c8

11441300424 has 64 divisors (see below), whose sum is σ = 30297421440. Its totient is φ = 3588049920.

The previous prime is 11441300413. The next prime is 11441300443. The reversal of 11441300424 is 42400314411.

11441300424 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 11441300394 and 11441300403.

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 15 ways as a sum of consecutive naturals, for example, 1800597 + ... + 1806939.

It is an arithmetic number, because the mean of its divisors is an integer number (473397210).

Almost surely, 211441300424 is an apocalyptic number.

It is an amenable number.

11441300424 is an abundant number, since it is smaller than the sum of its proper divisors (18856121016).

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

11441300424 is a wasteful number, since it uses less digits than its factorization.

11441300424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10790 (or 10786 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11441300424 its reverse (42400314411), we get a palindrome (53841614835).

The spelling of 11441300424 in words is "eleven billion, four hundred forty-one million, three hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 4421 6343 8842 12686 13263 17684 19029 25372 26526 35368 38058 50744 53052 75157 76116 106104 107831 150314 152232 215662 225471 300628 323493 431324 450942 601256 646986 862648 901884 1293972 1803768 2587944 28042403 56084806 84127209 112169612 168254418 224339224 336508836 476720851 673017672 953441702 1430162553 1906883404 2860325106 3813766808 5720650212 11441300424