12064814578463918880
12,064,814,578,463,918,880 is an even composite number composed of six prime numbers multiplied together.
12064814578463918880 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 12064814578463918880:
25 × 3 × 5 × 72 × 167 × 3071615589857
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 167 × 3071615589857)See below for interesting mathematical facts about the number 12064814578463918880 from the Numbermatics database.
Names of 12064814578463918880
- Cardinal: 12064814578463918880 can be written as Twelve quintillion, sixty-four quadrillion, eight hundred fourteen trillion, five hundred seventy-eight billion, four hundred sixty-three million, nine hundred eighteen thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.206481457846391888 × 1019
Factors of 12064814578463918880
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 3071615590041
Divisors of 12064814578463918880
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 167 168 196 210 224 240 245 280 294 334 336 392 420 480 490 501 560 588 668 672 735 784 835 840 980 1002 1120 1169 1176 1336 1470 1568 1670 1680 1960 2004 2338 2352 2505 2672 2940 3340 3360 3507 3920 4008 4676 4704 5010 5344 5845 5880 6680 7014 7840 8016 8183 9352 10020 11690 11760 13360 14028 16032 16366 17535 18704 20040 23380 23520 24549 26720 28056 32732 35070 37408 40080 40915 46760 49098 56112 65464 70140 80160 81830 93520 98196 112224 122745 130928 140280 163660 187040 196392 245490 261856 280560 327320 392784 490980 561120 654640 785568 981960 1309280 1963920 3927840 3071615589857 6143231179714 9214846769571 12286462359428 15358077949285 18429693539142 21501309128999 24572924718856 30716155898570 36859387078284 43002618257998 46074233847855 49145849437712 61432311797140 64503927386997 73718774156568 86005236515996 92148467695710 98291698875424 107506545644995 122864623594280 129007854773994 147437548313136 150509163902993 172010473031992 184296935391420 215013091289990 245729247188560 258015709547988 294875096626272 301018327805986 322519636934985 344020946063984 368593870782840 430026182579980 451527491708979 491458494377120 512959803506119 516031419095976 602036655611972 645039273869970 688041892127968 737187741565680 752545819514965 860052365159960 903054983417958 1025919607012238 1032062838191952 1204073311223944 1290078547739940 1474375483131360 1505091639029930 1538879410518357 1720104730319920 1806109966835916 2051839214024476 2064125676383904 2257637458544895 2408146622447888 2564799017530595 2580157095479880 3010183278059860 3077758821036714 3440209460639840 3590718624542833 3612219933671832 4103678428048952 4515274917089790 4816293244895776 5129598035061190 5160314190959760 6020366556119720 6155517642073428 7181437249085666 7224439867343664 7694397052591785 8207356856097904 9030549834179580 10259196070122380 10320628381919520 10772155873628499 12040733112239440 12311035284146856 14362874498171332 14448879734687328 15388794105183570 16414713712195808 17953593122714165 18061099668359160 20518392140244760 21544311747256998 24081466224478880 24622070568293712 25135030371799831 28725748996342664 30777588210367140 35907186245428330 36122199336718320 41036784280489520 43088623494513996 49244141136587424 50270060743599662 53860779368142495 57451497992685328 61555176420734280 71814372490856660 72244398673436640 75405091115399493 82073568560979040 86177246989027992 100540121487199324 107721558736284990 114902995985370656 123110352841468560 125675151858999155 143628744981713320 150810182230798986 172354493978055984 201080242974398648 215443117472569980 246220705682937120 251350303717998310 287257489963426640 301620364461597972 344708987956111968 377025455576997465 402160485948797296 430886234945139960 502700607435996620 574514979926853280 603240728923195944 754050911153994930 804320971897594592 861772469890279920 1005401214871993240 1206481457846391888 1508101822307989860 1723544939780559840 2010802429743986480 2412962915692783776 3016203644615979720 4021604859487972960 6032407289231959440 12064814578463918880
- Sum of all divisors σ(n): 44473651823382074496
- Sum of proper divisors (its aliquot sum) s(n): 32408837244918155616
- 12064814578463918880 is an abundant number, because the sum of its proper divisors (32408837244918155616) is greater than itself. Its abundance is 20344022666454236736
Bases of 12064814578463918880
- Binary: 10100111011011101101010011101111110111100100101111001011001000002
- Hexadecimal: 0xA76ED4EFDE4BCB20
- Base-36: 2JNUZTY9K4BHC
Squares and roots of 12064814578463918880
- 12064814578463918880 squared (120648145784639188802) is 145559750812715508617082086007220454400
- 12064814578463918880 cubed (120648145784639188803) is 1756151403642825332700170639598830221713437628318339072000
-
The
square root of 12064814578463918880 is 3473444195.3864637957 -
The
cube root of 12064814578463918880 is 2293542.9846028025
Scales and comparisons
How big is 12064814578463918880?- 12,064,814,578,463,918,880 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 12,064,814,578,463,918,880 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 12064814578463918880 cubic inches would be around 191128.6 feet tall.
Recreational maths with 12064814578463918880
- 12064814578463918880 backwards is 08881936487541846021
- The number of decimal digits it has is: 20
- The sum of 12064814578463918880's digits is 93
- More coming soon!
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