java da problem

bir bakteri 4 dk da bir 2 ye bölünerek çoğalıyor. başta 1 adet bakteri var n saat sonra oluşacak bakteri sayısı bulan prgram

n=5 için 2^(5*60/4)=37778931862957161709568 adet gibi

bi tane değişken tanımla oku console da sonra hesaplamanın formülünü yap yazdır ekrana

Kod 
Yığını:
import java.math.BigInteger;

public class Bacteria {


    public static void main(String[] args) {
        BigInteger bacteria, multiply2;
        bacteria = BigInteger.valueOf(1);
        multiply2 = BigInteger.valueOf(2);
        int hours = 25; //24 saat sonra olusacak bakteri sayisi
        int hour = 1; //saat sayalim
//        alternatif olarak hours degiskenini konsoldan arguman olarak alalim:
//        hours = Integer.valueOf(args[0]);
        int division = hours * 15; // 1 saatteki bolunme miktari hesaplanir

        for (int i = 1; i < division; i++) {
            bacteria = bacteria.multiply(multiply2);
            if (i%15 == 0) {
                System.out.println("hour " + hour + ":   " + bacteria + " bacteria");
                hour++;
            }
        }
    }
}

programın çıktısı:

hour 1:  32768 bacteria

hour 2:  1073741824 bacteria

hour 3:  35184372088832 bacteria

hour 4:  1152921504606846976 bacteria

hour 5:  37778931862957161709568 bacteria

hour 6:  1237940039285380274899124224 bacteria

hour 7:  40564819207303340847894502572032 bacteria

hour 8:  1329227995784915872903807060280344576 bacteria

hour 9:  43556142965880123323311949751266331066368 bacteria

hour 10:  1427247692705959881058285969449495136382746624 bacteria

hour 11:  46768052394588893382517914646921056628989841375232 bacteria

hour 12:  1532495540865888858358347027150309183618739122183602176 bacteria

hour 13:  50216813883093446110686315385661331328818843555712276103168 bacteria

hour 14:  1645504557321206042154969182557350504982735865633579863348609024 bacteria

hour 15:  53919893334301279589334030174039261347274288845081144962207220498432 bacteria

hour 16:  1766847064778384329583297500742918515827483896875618958121606201292619776 bacteria

hour 17:  57896044618658097711785492504343953926634992332820282019728792003956564819968 bacteria

hour 18:  1897137590064188545819787018382342682267975428761855001222473056385648716020711424 bacteria

hour 19:  62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 bacteria

hour 20:  2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 bacteria

hour 21:  66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 bacteria

hour 22:  2187250724783011924372502227117621365353169430893212436425770606409952999199375923223513177023053824 bacteria

hour 23:  71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 bacteria

hour 24:  2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 bacteria