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244120311204 = 2237112399110129
BaseRepresentation
bin1110001101011010110…
…1000101010110100100
3212100010011102201101120
43203112231011112210
512444424244424304
6304051453253540
723431346256630
oct3432655052644
9770104381346
10244120311204
1194592608010
123b38b4942b0
131a035bc88b3
14bb5b99ddc0
15653ba490d9
hex38d6b455a4

244120311204 has 96 divisors (see below), whose sum is σ = 710470656000. Its totient is φ = 63380866560.

The previous prime is 244120311199. The next prime is 244120311217. The reversal of 244120311204 is 402113021442.

244120311204 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2161612 + ... + 2271740.

It is an arithmetic number, because the mean of its divisors is an integer number (7400736000).

Almost surely, 2244120311204 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 244120311204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355235328000).

244120311204 is an abundant number, since it is smaller than the sum of its proper divisors (466350344796).

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

244120311204 is a wasteful number, since it uses less digits than its factorization.

244120311204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112553 (or 112551 counting only the distinct ones).

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

Adding to 244120311204 its reverse (402113021442), we get a palindrome (646233332646).

The spelling of 244120311204 in words is "two hundred forty-four billion, one hundred twenty million, three hundred eleven thousand, two hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 2399 4798 7197 9596 14394 16793 26389 28788 33586 50379 52778 67172 79167 100758 105556 110129 158334 184723 201516 220258 316668 330387 369446 440516 554169 660774 738892 770903 1108338 1211419 1321548 1541806 2216676 2312709 2422838 3083612 3634257 4625418 4845676 7268514 8479933 9250836 14537028 16959866 25439799 33919732 50879598 101759196 264199471 528398942 792598413 1056797884 1585196826 1849396297 2906194181 3170393652 3698792594 5548188891 5812388362 7397585188 8718582543 11096377782 11624776724 17437165086 20343359267 22192755564 34874330172 40686718534 61030077801 81373437068 122060155602 244120311204