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4424320420300 = 22521159631108037
BaseRepresentation
bin100000001100001111000…
…0011000000100111001100
3120122221221111102102122101
41000120132003000213030
51034442002011422200
613224301005124444
7634434533033434
oct100303603004714
916587844372571
104424320420300
111456386598780
125b5567b59724
13261299c30701
141141d15092c4
157a147a8926a
hex4061e0c09cc

4424320420300 has 144 divisors (see below), whose sum is σ = 10668069699840. Its totient is φ = 1579054176000.

The previous prime is 4424320420297. The next prime is 4424320420309. The reversal of 4424320420300 is 30240234244.

It is a happy number.

It is a super-2 number, since 2×44243204203002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4424320420309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40897882 + ... + 41005918.

It is an arithmetic number, because the mean of its divisors is an integer number (74083817360).

Almost surely, 24424320420300 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 4424320420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334034849920).

4424320420300 is an abundant number, since it is smaller than the sum of its proper divisors (6243749279540).

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

4424320420300 is a wasteful number, since it uses less digits than its factorization.

4424320420300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108752 (or 108745 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 4424320420300 its reverse (30240234244), we get a palindrome (4454560654544).

The spelling of 4424320420300 in words is "four trillion, four hundred twenty-four billion, three hundred twenty million, four hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 220 236 275 295 550 590 631 649 1100 1180 1262 1298 1475 2524 2596 2950 3155 3245 5900 6310 6490 6941 12620 12980 13882 15775 16225 27764 31550 32450 34705 37229 63100 64900 69410 74458 108037 138820 148916 173525 186145 216074 347050 372290 409519 432148 540185 694100 744580 819038 930725 1080370 1188407 1638076 1861450 2047595 2160740 2376814 2700925 3722900 4095190 4753628 5401850 5942035 6374183 8190380 10237975 10803700 11884070 12748366 20475950 23768140 25496732 29710175 31870915 40951900 59420350 63741830 68171347 70116013 118840700 127483660 136342694 140232026 159354575 272685388 280464052 318709150 340856735 350580065 637418300 681713470 701160130 749884817 1363426940 1402320260 1499769634 1704283675 1752900325 2999539268 3408567350 3505800650 3749424085 4022109473 6817134700 7011601300 7498848170 8044218946 14997696340 16088437892 18747120425 20110547365 37494240850 40221094730 44243204203 74988481700 80442189460 88486408406 100552736825 176972816812 201105473650 221216021015 402210947300 442432042030 884864084060 1106080105075 2212160210150 4424320420300