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14302130000 = 24541997187
BaseRepresentation
bin11010101000111100…
…10010111101010000
31100220201222111000112
431110132102331100
5213242321130000
610323104140452
71014264046004
oct152436227520
940821874015
1014302130000
11607a1a7a54
122931907728
13146c0a4322
14999682704
1558a913235
hex354792f50

14302130000 has 100 divisors (see below), whose sum is σ = 34805733600. Its totient is φ = 5691312000.

The previous prime is 14302129991. The next prime is 14302130113. The reversal of 14302130000 is 3120341.

14302130000 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, 1986407 + ... + 1993593.

It is an arithmetic number, because the mean of its divisors is an integer number (348057336).

Almost surely, 214302130000 is an apocalyptic number.

14302130000 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 14302130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17402866800).

14302130000 is an abundant number, since it is smaller than the sum of its proper divisors (20503603600).

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

14302130000 is an equidigital number, since it uses as much as digits as its factorization.

14302130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7414 (or 7393 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 14302130000 its reverse (3120341), we get a palindrome (14305250341).

The spelling of 14302130000 in words is "fourteen billion, three hundred two million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 199 200 250 398 400 500 625 796 995 1000 1250 1592 1990 2000 2500 3184 3980 4975 5000 7187 7960 9950 10000 14374 15920 19900 24875 28748 35935 39800 49750 57496 71870 79600 99500 114992 124375 143740 179675 199000 248750 287480 359350 398000 497500 574960 718700 898375 995000 1430213 1437400 1796750 1990000 2860426 2874800 3593500 4491875 5720852 7151065 7187000 8983750 11441704 14302130 14374000 17967500 22883408 28604260 35755325 35935000 57208520 71510650 71870000 114417040 143021300 178776625 286042600 357553250 572085200 715106500 893883125 1430213000 1787766250 2860426000 3575532500 7151065000 14302130000