Milijun, milijarda, bilijun, bilijarda… kako dalje?

Foto: Pixabay

Radoznalost je jedna od najvažnijih i najkorisnijih osobina koje možete razvijati u današnjem svijetu, ma o koliko se na prvu temu nasumičnoj temi radilo. Zato ćemo se danas prisjetiti što dolazi poslije bilijuna i bilijarde, i malo zagnjuriti u fascinantan svijet monstruozno velikih brojeva.

Prije par dana sam, pišući jedan članak u čijem se naslovu spominjala riječ “bilijarda”, zastao, digao ruke s tipkovnice i zamislio se. Znao sam da sam kao klinac istraživao što dolazi poslije velikih brojeva za koje su svi čuli. Svi znamo da poslije milijuna ide milijarda, poslije milijarde bilijun, a zatim bilijarda. No, dalje od toga ne znamo baš mnogo dalje odmaknuti.

Ipak, postoji matematička i lingvistička logika iza nadijevanja imena velikih brojeva koji se nižu sve do u beskraj.

Foto: Pixabay

Pa, da vidimo, što se to krije iza bilijarde.

  • milijun – 1.000.000 (6 nula)
  • milijarda – 1.000.000.000 (9 nula)
  • bilijun – 1.000.000.000.000 (12 nula)
  • bilijarda – 1.000.000.000.000.000 (15 nula)
  • trilijun – 1.000.000.000.000.000.000 (18 nula)
  • trilijarda – 1.000.000.000.000.000.000.000 (21 nula)
  • kvadrilijun – 1.000.000.000.000.000.000.000.000 (24 nule)
  • kvadrilijarda – 1.000.000.000.000.000.000.000.000.000 (27 nula)
  • kvintilijun – 1.000.000.000.000.000.000.000.000.000.000 (30 nula)
  • kvintilijarda – 1.000.000.000.000.000.000.000.000.000.000.000 (33 nule)
  • sekstilijun – 1.000.000.000.000.000.000.000.000.000.000.000.000 (36 nula)
  • sekstilijarda – 1.000.000.000.000.000.000.000.000.000.000.000.000.000 (39 nula)
  • septilijun – 1.000.000.000.000.000.000.000.000.000.000.000.000.000.000 (42 nule)
  • septilijarda – 1.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000 (45 nula)
  • oktilijun – 1.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000 (48 nula)
  • oktilijarda – 1.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000 (51 nula)
  • nonilijun – 1.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000 (54 nule)
  • nonilijarda – 1.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000 (57 nula)
  • decilijun – 1.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000 (60 nula)
  • decilijarda – 1.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000 (63 nule)
Foto: PxHere

Kao što primjećujete, ovo se nazivlje, kao i umnažanje nula, događa po točno određenim pravilima. Svaki novi član u ovom nizu ima točno 3 nule više od prethodnog, što znači da je za 1000 puta veći. Tako je milijarda 1000 puta veća od milijuna, bilijun je 1000 puta veći od milijarde, bilijarda je 1000 puta veća od bilijuna, trilijun je 1000 puta veći od bilijarde… i tako dalje, shvatili ste.

Osim toga, uočite pravilnost u stvaranju naziva ovog niza velikih okruglih brojeva. Svi dijele zajedničke nastavke “-lijun” i “-lijarda”. Ono na što se ti nastavci dodaju zapravo su univerzalni korijeni naziva običnih brojevi od 1 do 10: “bi-” (2), “tri-” (3), “kvadri-” (4), “kvinti-” (5), “seksti-” (6), “septi-” (7), “okti-” (8), “noni-” (9), “deci-” (10).

Riječ milijun nastala je iz latinskog “mille” koja je u talijanskom postala “millione”, a doslovno znači “velika tisuća”, to jest 1000 x 1000 = 1.000.000! Sve ostale latinske i grčke korijene naziva ovih brojeva, kako smo pokazali gore, možete instinktivno prepoznati, jer se ti korijeni riječi zadržavaju i u današnjim brojevima (npr. seks -> six, septem -> seven, okto -> eight, itd.). To je zato jer svi nazivi osnovnih brojeva zapravo potječu od proto-indoeuropskog jezika, iz kojeg su se razvili svi današnji indoeuropski jezici.

Foto: Flickr

No, uvijek možemo postaviti pitanje – kako dalje?

Primjeri nazivlja nekih DOISTA velikih brojeva su:

  • gugol – 10.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000 (100 nula, to jest deset na stotu potenciju!)
  • gugolpleks – deset na desetu na stotu potenciju
  • gugoldupleks – deset na desetu na desetu na stotu potenciju
  • zugol (navodno?!) – deset na milijuntu potenciju
  • zugolpleks (deset na desetu na milijuntu potenciju)
  • zugoldupleks (deset na desetu na desetu na milijuntu potenciju)
Foto: PxHere

S davanjem nazivlja sve većim brojevima možemo, naravno, nastaviti koliko nam god drago, no nikad nećemo doći do kraja. Razlog zbog kojeg vjerojatno nikad niste ni čuli za sve ove nezamislivo velike brojeve jest taj da oni zapravo u našem svemiru teško da imaju ikakvu uporabnu vrijednost. Primjerice, samo jedan “gugol”, deset na stotu potenciju, mnogo je, mnogo veći od procijenjenog broja svih protona u svemiru, kojih ima oko 10 na osamdesetu potenciju.

Vjerojatno je razlog zašto ova tema toliko fascinira neke ljude upravo taj što joj nema kraja, i što pokazuje koliko smo kao jedinke mali pred licem beskraja.

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