Search a number
-
+
14026513900 = 22527139914323
BaseRepresentation
bin11010001000000101…
…11001110111101100
31100012112100201210211
431010002321313230
5212211241421100
610235500512204
71004406254350
oct150402716754
940175321724
1014026513900
115a48668553
12287554b664
131426c63189
14970c19460
1557161e1ba
hex3440b9dec

14026513900 has 72 divisors (see below), whose sum is σ = 34813049600. Its totient is φ = 4805317440.

The previous prime is 14026513889. The next prime is 14026513903. The reversal of 14026513900 is 931562041.

14026513900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14026513903) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 972139 + ... + 986461.

Almost surely, 214026513900 is an apocalyptic number.

14026513900 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 14026513900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17406524800).

14026513900 is an abundant number, since it is smaller than the sum of its proper divisors (20786535700).

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

14026513900 is a wasteful number, since it uses less digits than its factorization.

14026513900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15743 (or 15736 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 14026513900 in words is "fourteen billion, twenty-six million, five hundred thirteen thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1399 2798 5596 6995 9793 13990 14323 19586 27980 28646 34975 39172 48965 57292 69950 71615 97930 100261 139900 143230 195860 200522 244825 286460 358075 401044 489650 501305 716150 979300 1002610 1432300 2005220 2506525 5013050 10026100 20037877 40075754 80151508 100189385 140265139 200378770 280530278 400757540 500946925 561060556 701325695 1001893850 1402651390 2003787700 2805302780 3506628475 7013256950 14026513900