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14201143000 = 2353112356131
BaseRepresentation
bin11010011100111010…
…00011111011011000
31100122200221210220021
431032131003323120
5213040443034000
610305055440224
71011626503162
oct151635037330
940580853807
1014201143000
1160281a1a20
122903b26074
1314541a64c5
1498a0b5932
15581b1611a
hex34e743ed8

14201143000 has 128 divisors (see below), whose sum is σ = 37828477440. Its totient is φ = 4939440000.

The previous prime is 14201142961. The next prime is 14201143007. The reversal of 14201143000 is 34110241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14201143007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 224935 + ... + 281065.

It is an arithmetic number, because the mean of its divisors is an integer number (295534980).

Almost surely, 214201143000 is an apocalyptic number.

14201143000 is a gapful number since it is divisible by the number (10) 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 14201143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18914238720).

14201143000 is an abundant number, since it is smaller than the sum of its proper divisors (23627334440).

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

14201143000 is a wasteful number, since it uses less digits than its factorization.

14201143000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56186 (or 56172 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14201143000 its reverse (34110241), we get a palindrome (14235253241).

The spelling of 14201143000 in words is "fourteen billion, two hundred one million, one hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 125 184 200 220 230 250 253 275 440 460 500 506 550 575 920 1000 1012 1100 1150 1265 1375 2024 2200 2300 2530 2750 2875 4600 5060 5500 5750 6325 10120 11000 11500 12650 23000 25300 31625 50600 56131 63250 112262 126500 224524 253000 280655 449048 561310 617441 1122620 1234882 1291013 1403275 2245240 2469764 2582026 2806550 3087205 4939528 5164052 5613100 6174410 6455065 7016375 10328104 11226200 12348820 12910130 14032750 14201143 15436025 24697640 25820260 28065500 28402286 30872050 32275325 51640520 56131000 56804572 61744100 64550650 71005715 77180125 113609144 123488200 129101300 142011430 154360250 161376625 258202600 284022860 308720500 322753250 355028575 568045720 617441000 645506500 710057150 1291013000 1420114300 1775142875 2840228600 3550285750 7100571500 14201143000