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14113200430 = 2572331282773
BaseRepresentation
bin11010010010011011…
…00101100100101110
31100102120110212101001
431021031211210232
5212400434403210
610252234510514
71006511136640
oct151115454456
940376425331
1014113200430
115a9259640a
12289a59543a
13143bbc4b94
1497c542890
1557904403a
hex34936592e

14113200430 has 64 divisors (see below), whose sum is σ = 31272542208. Its totient is φ = 4479108480.

The previous prime is 14113200377. The next prime is 14113200473. The reversal of 14113200430 is 3400231141.

14113200430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×141132004303 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14113200398 and 14113200407.

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 31 ways as a sum of consecutive naturals, for example, 91477 + ... + 191296.

It is an arithmetic number, because the mean of its divisors is an integer number (488633472).

Almost surely, 214113200430 is an apocalyptic number.

14113200430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14113200430 is an abundant number, since it is smaller than the sum of its proper divisors (17159341778).

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

14113200430 is a wasteful number, since it uses less digits than its factorization.

14113200430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282841.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 14113200430 its reverse (3400231141), we get a palindrome (17513431571).

The spelling of 14113200430 in words is "fourteen billion, one hundred thirteen million, two hundred thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 23 31 35 46 62 70 115 155 161 217 230 310 322 434 713 805 1085 1426 1610 2170 3565 4991 7130 9982 24955 49910 282773 565546 1413865 1979411 2827730 3958822 6503779 8765963 9897055 13007558 17531926 19794110 32518895 43829815 45526453 61361741 65037790 87659630 91052906 122723482 201617149 227632265 306808705 403234298 455264530 613617410 1008085745 1411320043 2016171490 2822640086 7056600215 14113200430