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144441224022200 = 23527208149578233
BaseRepresentation
bin100000110101111001010111…
…110110010100100010111000
3200221102110001020202220211012
4200311321113312110202320
5122413011111322202300
61231111214323053052
742265351116432650
oct4065712766244270
9627373036686735
10144441224022200
11420291a7427246
1214249815811188
1362799976822c1
142794dc7781360
1511a73ab05a435
hex835e57d948b8

144441224022200 has 96 divisors (see below), whose sum is σ = 383985405459360. Its totient is φ = 49498906828800.

The previous prime is 144441224022191. The next prime is 144441224022203. The reversal of 144441224022200 is 2220422144441.

144441224022200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144441224022203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21875717 + ... + 27702516.

It is an arithmetic number, because the mean of its divisors is an integer number (3999847973535).

Almost surely, 2144441224022200 is an apocalyptic number.

144441224022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144441224022200 is an abundant number, since it is smaller than the sum of its proper divisors (239544181437160).

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

144441224022200 is a wasteful number, since it uses less digits than its factorization.

144441224022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49580337 (or 49580328 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 144441224022200 its reverse (2220422144441), we get a palindrome (146661646166641).

The spelling of 144441224022200 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred twenty-four million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 2081 4162 8324 10405 14567 16648 20810 29134 41620 52025 58268 72835 83240 104050 116536 145670 208100 291340 364175 416200 582680 728350 1456700 2913400 49578233 99156466 198312932 247891165 347047631 396625864 495782330 694095262 991564660 1239455825 1388190524 1735238155 1983129320 2478911650 2776381048 3470476310 4957823300 6940952620 8676190775 9915646600 13881905240 17352381550 34704763100 69409526200 103172302873 206344605746 412689211492 515861514365 722206120111 825378422984 1031723028730 1444412240222 2063446057460 2579307571825 2888824480444 3611030600555 4126892114920 5158615143650 5777648960888 7222061201110 10317230287300 14444122402220 18055153002775 20634460574600 28888244804440 36110306005550 72220612011100 144441224022200