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2020314432000 = 2935310522471
BaseRepresentation
bin11101011001100100000…
…111111100001000000000
321011010210012000220211110
4131121210013330020000
5231100100443311000
64144041501443320
7265651163220234
oct35314407741000
97133705026743
102020314432000
117098a0911267
12287673270540
13118690120a37
146dad88245c4
1537846658850
hex1d6641fc200

2020314432000 has 160 divisors (see below), whose sum is σ = 6717041046144. Its totient is φ = 538750464000.

The previous prime is 2020314431917. The next prime is 2020314432023. The reversal of 2020314432000 is 2344130202.

It is a tau number, because it is divible by the number of its divisors (160).

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, 5069236 + ... + 5453235.

Almost surely, 22020314432000 is an apocalyptic number.

2020314432000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2020314432000 is an abundant number, since it is smaller than the sum of its proper divisors (4696726614144).

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

2020314432000 is an equidigital number, since it uses as much as digits as its factorization.

2020314432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10522507 (or 10522481 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 2020314432000 its reverse (2344130202), we get a palindrome (2022658562202).

The spelling of 2020314432000 in words is "two trillion, twenty billion, three hundred fourteen million, four hundred thirty-two 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 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 512 600 640 750 768 800 960 1000 1200 1280 1500 1536 1600 1920 2000 2400 2560 3000 3200 3840 4000 4800 6000 6400 7680 8000 9600 12000 12800 16000 19200 24000 32000 38400 48000 64000 96000 192000 10522471 21044942 31567413 42089884 52612355 63134826 84179768 105224710 126269652 157837065 168359536 210449420 252539304 263061775 315674130 336719072 420898840 505078608 526123550 631348260 673438144 789185325 841797680 1010157216 1052247100 1262696520 1315308875 1346876288 1578370650 1683595360 2020314432 2104494200 2525393040 2630617750 2693752576 3156741300 3367190720 3945926625 4040628864 4208988400 5050786080 5261235500 5387505152 6313482600 6734381440 7891853250 8081257728 8417976800 10101572160 10522471000 12626965200 13468762880 15783706500 16162515456 16835953600 20203144320 21044942000 25253930400 26937525760 31567413000 33671907200 40406288640 42089884000 50507860800 63134826000 67343814400 80812577280 84179768000 101015721600 126269652000 134687628800 168359536000 202031443200 252539304000 336719072000 404062886400 505078608000 673438144000 1010157216000 2020314432000