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11404034424 = 2332613178191
BaseRepresentation
bin10101001111011101…
…11100000101111000
31002102202200222021100
422213232330011320
5141323413100144
65123340011400
7552413456526
oct124756740570
932382628240
1011404034424
114922309942
122263230b60
1310c984c383
147a2805316
1546b29d269
hex2a7bbc178

11404034424 has 96 divisors (see below), whose sum is σ = 31495127040. Its totient is φ = 3726777600.

The previous prime is 11404034393. The next prime is 11404034437. The reversal of 11404034424 is 42443040411.

It is a super-2 number, since 2×114040344242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1388169 + ... + 1396359.

It is an arithmetic number, because the mean of its divisors is an integer number (328074240).

Almost surely, 211404034424 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 11404034424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15747563520).

11404034424 is an abundant number, since it is smaller than the sum of its proper divisors (20091092616).

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

11404034424 is a wasteful number, since it uses less digits than its factorization.

11404034424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8581 (or 8574 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 11404034424 its reverse (42443040411), we get a palindrome (53847074835).

The spelling of 11404034424 in words is "eleven billion, four hundred four million, thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 317 366 488 549 634 732 951 1098 1268 1464 1902 2196 2536 2853 3804 4392 5706 7608 8191 11412 16382 19337 22824 24573 32764 38674 49146 58011 65528 73719 77348 98292 116022 147438 154696 174033 196584 232044 294876 348066 464088 499651 589752 696132 999302 1392264 1498953 1998604 2596547 2997906 3997208 4496859 5193094 5995812 7789641 8993718 10386188 11991624 15579282 17987436 20772376 23368923 31158564 35974872 46737846 62317128 93475692 158389367 186951384 316778734 475168101 633557468 950336202 1267114936 1425504303 1900672404 2851008606 3801344808 5702017212 11404034424