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14300210000 = 24541678563
BaseRepresentation
bin11010101000101101…
…11110001101010000
31100220121100221021102
431110112332031100
5213241323210000
610322555043532
71014241531226
oct152426761520
940817327242
1014300210000
11607910647a
1229311405a8
13146b88142b
14999302b16
1558a6843d5
hex3545be350

14300210000 has 100 divisors (see below), whose sum is σ = 34833624672. Its totient is φ = 5685168000.

The previous prime is 14300209997. The next prime is 14300210017. The reversal of 14300210000 is 1200341.

It is a happy number.

14300210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 1665719 + ... + 1674281.

Almost surely, 214300210000 is an apocalyptic number.

14300210000 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 14300210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17416812336).

14300210000 is an abundant number, since it is smaller than the sum of its proper divisors (20533414672).

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

14300210000 is an equidigital number, since it uses as much as digits as its factorization.

14300210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8758 (or 8737 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 14300210000 its reverse (1200341), we get a palindrome (14301410341).

The spelling of 14300210000 in words is "fourteen billion, three hundred million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 167 200 250 334 400 500 625 668 835 1000 1250 1336 1670 2000 2500 2672 3340 4175 5000 6680 8350 8563 10000 13360 16700 17126 20875 33400 34252 41750 42815 66800 68504 83500 85630 104375 137008 167000 171260 208750 214075 334000 342520 417500 428150 685040 835000 856300 1070375 1430021 1670000 1712600 2140750 2860042 3425200 4281500 5351875 5720084 7150105 8563000 10703750 11440168 14300210 17126000 21407500 22880336 28600420 35750525 42815000 57200840 71501050 85630000 114401680 143002100 178752625 286004200 357505250 572008400 715010500 893763125 1430021000 1787526250 2860042000 3575052500 7150105000 14300210000