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344144231130200 = 23525059634353623
BaseRepresentation
bin100111000111111110101001…
…0101001011110010001011000
31200010111212102011212212022212
41032033331102221132101120
5330101424341132131300
63215533402140134252
7132326412603113624
oct11617752251362130
91603455364785285
10344144231130200
119a722826719016
123272155a837388
1311a0487ab15217
1460da95379a184
1529bbeab935935
hex138ff52a5e458

344144231130200 has 96 divisors (see below), whose sum is σ = 800434594502400. Its totient is φ = 137606217759360.

The previous prime is 344144231130199. The next prime is 344144231130221. The reversal of 344144231130200 is 2031132441443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6417820589 + ... + 6417874211.

It is an arithmetic number, because the mean of its divisors is an integer number (8337860359400).

Almost surely, 2344144231130200 is an apocalyptic number.

It is an amenable number.

344144231130200 is an abundant number, since it is smaller than the sum of its proper divisors (456290363372200).

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

344144231130200 is a wasteful number, since it uses less digits than its factorization.

344144231130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65041 (or 65032 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 344144231130200 its reverse (2031132441443), we get a palindrome (346175363571643).

The spelling of 344144231130200 in words is "three hundred forty-four trillion, one hundred forty-four billion, two hundred thirty-one million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 5059 6343 10118 12686 20236 25295 25372 31715 40472 50590 50744 53623 63430 101180 107246 126475 126860 158575 202360 214492 252950 253720 268115 317150 428984 505900 536230 634300 1011800 1072460 1268600 1340575 2144920 2681150 5362300 10724600 32089237 64178474 128356948 160446185 256713896 271278757 320892370 340130689 542557514 641784740 680261378 802230925 1085115028 1283569480 1356393785 1360522756 1604461850 1700653445 2170230056 2712787570 2721045512 3208923700 3401306890 5425575140 6417847400 6781968925 6802613780 8503267225 10851150280 13563937850 13605227560 17006534450 27127875700 34013068900 54255751400 68026137800 1720721155651 3441442311302 6882884622604 8603605778255 13765769245208 17207211556510 34414423113020 43018028891275 68828846226040 86036057782550 172072115565100 344144231130200