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20302330416000 = 27353422965217
BaseRepresentation
bin1001001110111000000010…
…01100010100101110000000
32122212212212022110221011120
410213130001030110232000
510130113133041303000
6111102432320112240
74163536450116063
oct447340114245600
978785768427146
1020302330416000
11651819626a376
12233a889465680
13b43669b76c09
145028d0aa88da
1525319be236a0
hex127701314b80

20302330416000 has 128 divisors (see below), whose sum is σ = 67302225488160. Its totient is φ = 5413954764800.

The previous prime is 20302330415993. The next prime is 20302330416019. The reversal of 20302330416000 is 61403320302.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211434609 + ... + 211530608.

Almost surely, 220302330416000 is an apocalyptic number.

20302330416000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20302330416000 is an abundant number, since it is smaller than the sum of its proper divisors (46999895072160).

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

20302330416000 is an equidigital number, since it uses as much as digits as its factorization.

20302330416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422965249 (or 422965227 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 20302330416000 its reverse (61403320302), we get a palindrome (20363733736302).

The spelling of 20302330416000 in words is "twenty trillion, three hundred two billion, three hundred thirty million, four hundred sixteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 422965217 845930434 1268895651 1691860868 2114826085 2537791302 3383721736 4229652170 5075582604 6344478255 6767443472 8459304340 10151165208 10574130425 12688956510 13534886944 16918608680 20302330416 21148260850 25377913020 27069773888 31722391275 33837217360 40604660832 42296521700 50755826040 52870652125 54139547776 63444782550 67674434720 81209321664 84593043400 101511652080 105741304250 126889565100 135348869440 158611956375 162418643328 169186086800 203023304160 211482608500 253779130200 270697738880 317223912750 338372173600 406046608320 422965217000 507558260400 634447825500 676744347200 812093216640 845930434000 1015116520800 1268895651000 1353488694400 1691860868000 2030233041600 2537791302000 3383721736000 4060466083200 5075582604000 6767443472000 10151165208000 20302330416000