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14045441252000 = 25533511360313
BaseRepresentation
bin1100110001100011010110…
…0010010101101010100000
31211201201201221122201202212
43030120311202111222200
53320110030430031000
645512215302501252
72646515061541604
oct314306542255240
954651657581685
1014045441252000
114525702471904
1216aa125a34828
137ab6303bb042
14367b3555d504
1519554a44cc35
hexcc635895aa0

14045441252000 has 48 divisors (see below), whose sum is σ = 34509649165992. Its totient is φ = 5618176499200.

The previous prime is 14045441251987. The next prime is 14045441252021. The reversal of 14045441252000 is 25214454041.

It can be written as a sum of positive squares in 4 ways, for example, as 1144155401104 + 12901285850896 = 1069652^2 + 3591836^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 1755676157 + ... + 1755684156.

Almost surely, 214045441252000 is an apocalyptic number.

14045441252000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14045441252000 is an abundant number, since it is smaller than the sum of its proper divisors (20464207913992).

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

14045441252000 is an equidigital number, since it uses as much as digits as its factorization.

14045441252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511360338 (or 3511360320 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

The spelling of 14045441252000 in words is "fourteen trillion, forty-five billion, four hundred forty-one million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 3511360313 7022720626 14045441252 17556801565 28090882504 35113603130 56181765008 70227206260 87784007825 112363530016 140454412520 175568015650 280908825040 351136031300 438920039125 561817650080 702272062600 877840078250 1404544125200 1755680156500 2809088250400 3511360313000 7022720626000 14045441252000