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14000333140000 = 25544117073577
BaseRepresentation
bin1100101110111011010011…
…1000100011000000100000
31211120102022021210012221001
43023232310320203000200
53313340140240440000
645435355251241344
72643330210114154
oct313566470430040
954512267705831
1014000333140000
1145085650846a9
1216a14372a9254
137a72c1c85ccc
143658967cb064
151942aa2a646a
hexcbbb4e23020

14000333140000 has 120 divisors (see below), whose sum is σ = 35282992850028. Its totient is φ = 5463544320000.

The previous prime is 14000333139997. The next prime is 14000333140039. The reversal of 14000333140000 is 4133300041.

It can be written as a sum of positive squares in 10 ways, for example, as 8035660156176 + 5964672983824 = 2834724^2 + 2442268^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14000333140000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7716789 + ... + 9356788.

Almost surely, 214000333140000 is an apocalyptic number.

14000333140000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14000333140000 is an abundant number, since it is smaller than the sum of its proper divisors (21282659710028).

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

14000333140000 is an equidigital number, since it uses as much as digits as its factorization.

14000333140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17073648 (or 17073625 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 14000333140000 its reverse (4133300041), we get a palindrome (14004466440041).

The spelling of 14000333140000 in words is "fourteen trillion, three hundred thirty-three million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 328 400 410 500 625 656 800 820 1000 1025 1250 1312 1640 2000 2050 2500 3280 4000 4100 5000 5125 6560 8200 10000 10250 16400 20000 20500 25625 32800 41000 51250 82000 102500 164000 205000 410000 820000 17073577 34147154 68294308 85367885 136588616 170735770 273177232 341471540 426839425 546354464 682943080 700016657 853678850 1365886160 1400033314 1707357700 2134197125 2731772320 2800066628 3414715400 3500083285 4268394250 5600133256 6829430800 7000166570 8536788500 10670985625 11200266512 13658861600 14000333140 17073577000 17500416425 21341971250 22400533024 28000666280 34147154000 35000832850 42683942500 56001332560 68294308000 70001665700 85367885000 87502082125 112002665120 140003331400 170735770000 175004164250 280006662800 341471540000 350008328500 437510410625 560013325600 700016657000 875020821250 1400033314000 1750041642500 2800066628000 3500083285000 7000166570000 14000333140000