12979583824896
12,979,583,824,896 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12979583824896 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1760 divisors.
12979583824896 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred sixty divisors.
Prime factorization of 12979583824896:
210 × 34 × 13 × 19 × 31 × 107 × 191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 19 × 31 × 107 × 191)See below for interesting mathematical facts about the number 12979583824896 from the Numbermatics database.
Names of 12979583824896
- Cardinal: 12979583824896 can be written as Twelve trillion, nine hundred seventy-nine billion, five hundred eighty-three million, eight hundred twenty-four thousand, eight hundred ninety-six.
Scientific notation
- Scientific notation: 1.2979583824896 × 1013
Factors of 12979583824896
Divisors of 12979583824896
- Number of divisors d(n): 1760
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 31 32 36 38 39 48 52 54 57 62 64 72 76 78 81 93 96 104 107 108 114 117 124 128 144 152 156 162 171 186 191 192 208 214 216 228 234 247 248 256 279 288 304 312 321 324 342 351 372 382 384 403 416 428 432 456 468 494 496 512 513 558 573 576 589 608 624 642 648 684 702 741 744 764 768 806 832 837 856 864 912 936 963 988 992 1024 1026 1053 1116 1146 1152 1178 1209 1216 1248 1284 1296 1368 1391 1404 1482 1488 1528 1536 1539 1612 1664 1674 1712 1719 1728 1767 1824 1872 1926 1976 1984 2033 2052 2106 2223 2232 2292 2304 2356 2418 2432 2483 2496 2511 2568 2592 2736 2782 2808 2889 2964 2976 3056 3072 3078 3224 3317 3328 3348 3424 3438 3456 3534 3627 3629 3648 3744 3852 3952 3968 4066 4104 4173 4212 4446 4464 4584 4608 4712 4836 4864 4966 4992 5022 5136 5157 5184 5301 5472 5564 5616 5778 5921 5928 5952 6099 6112 6156 6448 6634 6656 6669 6696 6848 6876 6912 7068 7254 7258 7296 7449 7488 7657 7704 7904 7936 8132 8208 8346 8424 8667 8892 8928 9168 9216 9424 9672 9728 9932 9951 9984 10044 10272 10314 10368 10602 10881 10887 10944 11128 11232 11556 11842 11856 11904 12198 12224 12312 12519 12896 13268 13312 13338 13392 13696 13752 13824 14136 14508 14516 14592 14898 14976 15314 15408 15471 15808 15872 15903 16264 16416 16692 16848 17334 17763 17784 17856 18297 18336 18848 19344 19456 19864 19902 19968 20007 20088 20437 20544 20628 20736 21204 21762 21774 21888 22256 22347 22464 22971 23112 23684 23712 23808 24396 24448 24624 25038 25792 26429 26536 26676 26784 27392 27504 27648 28272 29016 29032 29184 29796 29853 29952 30628 30816 30942 31616 31744 31806 32528 32643 32661 32832 33384 33696 34668 35526 35568 35712 36594 36672 37557 37696 38688 39728 39804 39936 40014 40176 40874 41088 41256 41472 42408 43121 43524 43548 43776 44512 44694 44928 45942 46224 47177 47368 47424 47616 47709 48792 48896 49248 50076 51584 52858 53072 53289 53352 53568 54784 54891 55008 56544 58032 58064 58368 59592 59706 59904 61256 61311 61632 61884 63023 63232 63612 65056 65286 65322 65664 66768 67041 67392 68913 69336 71052 71136 71424 73188 73344 75114 75392 76973 77376 79287 79456 79608 80028 80352 81748 82176 82512 82944 84816 86242 87048 87096 87552 89024 89388 89559 89856 91884 92448 94354 94736 94848 95232 95418 97584 97792 97983 98496 100152 103168 105716 106144 106578 106704 107136 109568 109782 110016 112499 112671 113088 116064 116128 119184 119412 119808 122512 122622 123264 123768 126046 126464 127224 129363 130112 130572 130644 131328 133536 134082 134784 137826 138672 141531 142104 142272 142848 146376 146688 150228 150784 153946 154752 158574 158912 159216 159867 160056 160704 163496 164352 164673 165024 169632 172484 174096 174192 175104 178048 178776 179118 179712 183768 183933 184896 188708 189069 189472 189696 190836 195168 195584 195966 196992 200304 201123 206336 206739 211432 212288 213156 213408 214272 219564 220032 224998 225342 226176 230919 232128 232256 237861 238368 238824 245024 245244 246528 247536 252092 252928 254448 258726 260224 261144 261288 262656 265681 267072 268164 268677 269568 275652 277344 283062 284208 284544 285696 292752 293376 293949 300456 301568 307892 309504 317148 317824 318432 319734 320112 321408 326992 328704 329346 330048 337497 339264 344968 348192 348384 356096 357552 358236 359424 367536 367866 369792 377416 378138 378944 379392 381672 388089 388303 390336 391932 393984 400608 402246 412672 413478 422864 424576 424593 426312 426816 428544 439128 440064 449996 450684 452352 461838 464256 464512 475722 476736 477648 479601 490048 490488 493056 495072 504184 508896 517452 520448 522288 522576 525312 531362 534144 536328 537354 539136 551304 551799 554688 566124 567207 568416 569088 585504 586752 587898 600912 603136 615784 619008 620217 633547 634296 635648 636864 639468 640224 642816 653984 658692 660096 674994 678528 689936 692757 696384 696768 712192 713583 715104 716472 735072 735732 739584 754832 756276 757888 758784 763344 776178 776606 780672 783864 787968 797043 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35099688 35283456 35315136 36112179 36231936 36301248 36449676 37256544 37277088 37625472 38258064 38458368 39326352 39410176 39487149 39693888 40383512 40547008 40594944 40760928 40838904 40925952 41936724 42156288 43040322 43199616 44155904 44242146 44336448 45431451 45615384 45669312 45854208 46799584 47086848 48149572 48309248 48401664 48599568 48854016 49416666 49675392 49702784 49878504 50167296 51010752 51317307 51487488 52435136 52649532 52925184 52972704 54347904 54451872 54567936 55884816 55915632 56208384 57387096 57599488 57687552 58989528 59115264 60575268 60820512 60892416 61141392 61388928 62782464 62905086 64535552 64799424 65888888 66233856 66363219 66504672 68014336 68423076 68503968 68649984 68781312 70199376 70566912 70630272 72224358 72463872 72602496 72899352 74124999 74513088 74554176 75250944 76516128 78652704 78820352 78974298 79387776 80767024 81094016 81189888 81521856 81677808 81851904 83873448 84312576 86080644 86399232 88484292 88672896 90862902 91230768 91338624 91708416 93599168 94173696 96299144 96803328 97199136 98833332 99350784 99405568 99757008 100334592 102021504 102634614 102974976 104870272 105299064 105850368 105945408 108336537 108695808 108903744 111769632 111831264 114774192 115198976 115375104 117979056 118230528 118461447 121150536 121641024 121784832 122282784 122777856 125810172 129598848 131777776 132467712 132726438 133009344 136028672 136294353 136846152 137007936 137562624 140398752 141260544 144448716 144927744 145204992 145798704 148249998 149026176 149108352 150501888 153032256 156486109 157305408 157948596 158775552 161534048 162188032 163043712 163355616 163703808 167746896 168625152 172161288 172798464 176968584 177345792 181725804 182461536 182677248 187198336 188347392 192598288 193606656 194398272 197666664 198701568 198811136 199514016 204043008 205269228 205949952 209740544 210598128 211700736 211890816 216673074 217391616 217807488 222374997 223539264 223662528 229548384 235958112 236461056 236922894 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726903216 729846144 730708992 748793344 770393152 777593088 790666656 798056064 816172032 817766118 821076912 838962176 842392512 847563264 866692296 871229952 889499988 894157056 894650112 918193536 938916654 943832448 947691576 969204288 973128192 975028833 978262272 1006481376 1036790784 1054222208 1061811504 1064074752 1090354824 1094769216 1096063488 1123190016 1155589728 1166389632 1185999984 1192209408 1192866816 1224258048 1251888872 1258443264 1263588768 1292272384 1300038444 1304349696 1306844928 1334249982 1341975168 1377290304 1408374981 1415748672 1453806432 1459692288 1497586688 1540786304 1555186176 1581333312 1596112128 1635532236 1642153824 1684785024 1695126528 1733384592 1742459904 1778999976 1788314112 1789300224 1836387072 1877833308 1887664896 1895383152 1938408576 1946256384 1950057666 1956524544 2012962752 2108444416 2123623008 2128149504 2180709648 2189538432 2192126976 2246380032 2311179456 2332779264 2371999968 2448516096 2503777744 2516886528 2527177536 2584544768 2600076888 2613689856 2668499964 2683950336 2754580608 2816749962 2831497344 2907612864 2919384576 3081572608 3110372352 3162666624 3192224256 3271064472 3284307648 3369570048 3466769184 3557999952 3576628224 3578600448 3672774144 3755666616 3775329792 3790766304 3876817152 3900115332 3913049088 4025925504 4216888832 4225124943 4247246016 4361419296 4379076864 4492760064 4622358912 4665558528 4743999936 5007555488 5054355072 5169089536 5200153776 5227379712 5336999928 5367900672 5509161216 5633499924 5662994688 5815225728 5838769152 6163145216 6325333248 6384448512 6542128944 6568615296 6739140096 6933538368 7115999904 7345548288 7511333232 7550659584 7581532608 7753634304 7800230664 8051851008 8433777664 8450249886 8494492032 8722838592 8758153728 9244717824 9331117056 9487999872 10015110976 10108710144 10400307552 10673999856 10735801344 11018322432 11266999848 11325989376 11630451456 12326290432 12650666496 12675374829 13084257888 13137230592 13478280192 13867076736 14231999808 15022666464 15163065216 15507268608 15600461328 16103702016 16900499772 16988984064 17445677184 17516307456 18489435648 18975999744 20030221952 20217420288 20800615104 21347999712 22036644864 22533999696 22651978752 23260902912 25301332992 25350749658 26168515776 26274461184 27734153472 28463999616 30045332928 30326130432 31200922656 32207404032 33800999544 33977968128 34891354368 36978871296 37951999488 40060443904 40434840576 41601230208 42695999424 45067999392 46521805824 50701499316 52337031552 52548922368 55468306944 56927999232 60090665856 60652260864 62401845312 67601999088 67955936256 69782708736 75903998976 80120887808 83202460416 85391998848 90135998784 101402998632 104674063104 110936613888 113855998464 120181331712 121304521728 124803690624 135203998176 139565417472 160241775616 166404920832 170783997696 180271997568 202805997264 209348126208 227711996928 240362663424 249607381248 270407996352 332809841664 341567995392 360543995136 405611994528 418696252416 480725326848 499214762496 540815992704 683135990784 721087990272 811223989056 998429524992 1081631985408 1442175980544 1622447978112 2163263970816 3244895956224 4326527941632 6489791912448 12979583824896
- Sum of all divisors σ(n): 46018897182720
- Sum of proper divisors (its aliquot sum) s(n): 33039313357824
- 12979583824896 is an abundant number, because the sum of its proper divisors (33039313357824) is greater than itself. Its abundance is 20059729532928
Bases of 12979583824896
- Binary: 101111001110000010110111101110110100000000002
- Hexadecimal: 0xBCE0B7BB400
- Base-36: 4LMQL3400
Squares and roots of 12979583824896
- 12979583824896 squared (129795838248962) is 168469596267501877189410816
- 12979583824896 cubed (129795838248963) is 2186665246700426900312992893405952475136
-
The
square root of 12979583824896 is 3602718.9489184417 -
The
cube root of 12979583824896 is 23501.0313866907
Scales and comparisons
How big is 12979583824896?- 12,979,583,824,896 seconds is equal to 412,710 years, 32 weeks, 15 hours, 21 minutes, 36 seconds.
-
To count from 1 to 12,979,583,824,896 would take you about one million, thirty-one thousand, seven hundred seventy-six 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 12979583824896 cubic inches would be around 1958.4 feet tall.
Recreational maths with 12979583824896
- 12979583824896 backwards is 69842838597921
- 12979583824896 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12979583824896's digits is 81
- More coming soon!
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MLA style:
"Number 12979583824896 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 12979583824896 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/12979583824896/
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The information we have on file for 12979583824896 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 12979583824896, math, Factors of 12979583824896, curriculum, school, college, exams, university, Prime factorization of 12979583824896, STEM, science, technology, engineering, physics, economics, calculator, twelve trillion, nine hundred seventy-nine billion, five hundred eighty-three million, eight hundred twenty-four thousand, eight hundred ninety-six.