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13411320224 = 254360716057
BaseRepresentation
bin11000111110110000…
…01000000110100000
31021121122202122201212
430133120020012200
5204431244221344
610054443045252
7653226224651
oct143730100640
937548678655
1013411320224
115762382425
122723510828
131359677a53
14913239528
155375ee79e
hex31f6081a0

13411320224 has 48 divisors (see below), whose sum is σ = 27063767808. Its totient is φ = 6538516992.

The previous prime is 13411320191. The next prime is 13411320229. The reversal of 13411320224 is 42202311431.

It is a self number, because there is not a number n which added to its sum of digits gives 13411320224.

It is not an unprimeable number, because it can be changed into a prime (13411320229) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 827204 + ... + 843260.

It is an arithmetic number, because the mean of its divisors is an integer number (563828496).

Almost surely, 213411320224 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 13411320224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13531883904).

13411320224 is an abundant number, since it is smaller than the sum of its proper divisors (13652447584).

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

13411320224 is a wasteful number, since it uses less digits than its factorization.

13411320224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16717 (or 16709 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 13411320224 its reverse (42202311431), we get a palindrome (55613631655).

The spelling of 13411320224 in words is "thirteen billion, four hundred eleven million, three hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 43 86 172 344 607 688 1214 1376 2428 4856 9712 16057 19424 26101 32114 52202 64228 104404 128456 208808 256912 417616 513824 690451 835232 1380902 2761804 5523608 9746599 11047216 19493198 22094432 38986396 77972792 155945584 311891168 419103757 838207514 1676415028 3352830056 6705660112 13411320224