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20004424343200 = 25521116931342723
BaseRepresentation
bin1001000110001101001001…
…00110110101111010100000
32121211101220201122102112201
410203012210212311322200
510110223030112440300
6110313523343102544
74133162166225433
oct443064446657240
977741821572481
1020004424343200
116412913033620
1222b0ba92a1a54
13b21541abacab
144d230dab181a
1524a5634cc66a
hex1231a49b5ea0

20004424343200 has 144 divisors (see below), whose sum is σ = 53306926950816. Its totient is φ = 7270033996800.

The previous prime is 20004424343177. The next prime is 20004424343203. The reversal of 20004424343200 is 234342440002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20004424343203) 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, 14227039 + ... + 15569761.

It is an arithmetic number, because the mean of its divisors is an integer number (370186992714).

Almost surely, 220004424343200 is an apocalyptic number.

20004424343200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20004424343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26653463475408).

20004424343200 is an abundant number, since it is smaller than the sum of its proper divisors (33302502607616).

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

20004424343200 is a wasteful number, since it uses less digits than its factorization.

20004424343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344447 (or 1344434 counting only the distinct ones).

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

Adding to 20004424343200 its reverse (234342440002), we get a palindrome (20238766783202).

The spelling of 20004424343200 in words is "twenty trillion, four billion, four hundred twenty-four million, three hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1693 1760 2200 3386 4400 6772 8465 8800 13544 16930 18623 27088 33860 37246 42325 54176 67720 74492 84650 93115 135440 148984 169300 186230 270880 297968 338600 372460 465575 595936 677200 744920 931150 1342723 1354400 1489840 1862300 2685446 2979680 3724600 5370892 6713615 7449200 10741784 13427230 14769953 14898400 21483568 26854460 29539906 33568075 42967136 53708920 59079812 67136150 73849765 107417840 118159624 134272300 147699530 214835680 236319248 268544600 295399060 369248825 472638496 537089200 590798120 738497650 1074178400 1181596240 1476995300 2273230039 2363192480 2953990600 4546460078 5907981200 9092920156 11366150195 11815962400 18185840312 22732300390 25005530429 36371680624 45464600780 50011060858 56830750975 72743361248 90929201560 100022121716 113661501950 125027652145 181858403120 200044243432 227323003900 250055304290 363716806240 400088486864 454646007800 500110608580 625138260725 800176973728 909292015600 1000221217160 1250276521450 1818584031200 2000442434320 2500553042900 4000884868640 5001106085800 10002212171600 20004424343200