12984369922948495968
12,984,369,922,948,495,968 is an even composite number composed of five prime numbers multiplied together.
12984369922948495968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 12984369922948495968:
25 × 36 × 132 × 2531 × 360732
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 2531 × 36073 × 36073)See below for interesting mathematical facts about the number 12984369922948495968 from the Numbermatics database.
Names of 12984369922948495968
- Cardinal: 12984369922948495968 can be written as Twelve quintillion, nine hundred eighty-four quadrillion, three hundred sixty-nine trillion, nine hundred twenty-two billion, nine hundred forty-eight million, four hundred ninety-five thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.2984369922948495968 × 1019
Factors of 12984369922948495968
Divisors of 12984369922948495968
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 169 208 216 234 243 288 312 324 338 351 416 432 468 486 507 624 648 676 702 729 864 936 972 1014 1053 1248 1296 1352 1404 1458 1521 1872 1944 2028 2106 2531 2592 2704 2808 2916 3042 3159 3744 3888 4056 4212 4563 5062 5408 5616 5832 6084 6318 7593 7776 8112 8424 9126 9477 10124 11232 11664 12168 12636 13689 15186 16224 16848 18252 18954 20248 22779 23328 24336 25272 27378 30372 32903 33696 36073 36504 37908 40496 41067 45558 48672 50544 54756 60744 65806 68337 72146 73008 75816 80992 82134 91116 98709 101088 108219 109512 121488 123201 131612 136674 144292 146016 151632 164268 182232 197418 205011 216438 219024 242976 246402 263224 273348 288584 296127 303264 324657 328536 364464 394836 410022 427739 432876 438048 468949 492804 526448 546696 577168 592254 615033 649314 657072 728928 789672 820044 855478 865752 888381 937898 973971 985608 1052896 1093392 1154336 1184508 1230066 1283217 1298628 1314144 1406847 1579344 1640088 1710956 1731504 1776762 1845099 1875796 1947942 1971216 2186784 2369016 2460132 2566434 2597256 2665143 2813694 2921913 3158688 3280176 3421912 3463008 3553524 3690198 3751592 3849651 3895884 3942432 4220541 4738032 4920264 5132868 5194512 5330286 5627388 5843826 6096337 6560352 6843824 7107048 7380396 7503184 7699302 7791768 7995429 8441082 8765739 9476064 9840528 10265736 10389024 10660572 11254776 11548953 11687652 12192674 12661623 13687648 14214096 14760792 15006368 15398604 15583536 15990858 16882164 17531478 18289011 19681056 20531472 21321144 22509552 23097906 23375304 23986287 24385348 25323246 26297217 28428192 29521584 30797208 31167072 31981716 33764328 34646859 35062956 36578022 37984869 41062944 42642288 45019104 46195812 46750608 47972574 48770696 50646492 52594434 54867033 59043168 61594416 63963432 67528656 69293718 70125912 73156044 75969738 85284576 91300763 92391624 93501216 95945148 97541392 101292984 103940577 105188868 109734066 113954607 123188832 127926864 135057312 138587436 140251824 146312088 151939476 164601099 182601526 184783248 191890296 195082784 202585968 207881154 210377736 219468132 227909214 255853728 273902289 277174872 280503648 292624176 303878952 311821731 329202198 341863821 365203052 369566496 383780592 405171936 415762308 420755472 438936264 455818428 493803297 547804578 554349744 585248352 607757904 623643462 658404396 683727642 730406104 767561184 821706867 831524616 841510944 877872528 911636856 987606594 1095609156 1108699488 1186909919 1215515808 1247286924 1301261329 1316808792 1367455284 1460812208 1481409891 1643413734 1663049232 1755745056 1823273712 1975213188 2191218312 2373819838 2465120601 2494573848 2602522658 2633617584 2734910568 2921624416 2962819782 3286827468 3326098464 3560729757 3646547424 3903783987 3950426376 4382436624 4444229673 4747639676 4930241202 4989147696 5205045316 5267235168 5469821136 5925639564 6573654936 7121459514 7395361803 7807567974 7900852752 8764873248 8888459346 9495279352 9860482404 9978295392 10410090632 10682189271 10939642272 11711351961 11851279128 13147309872 14242919028 14790723606 15429828947 15615135948 15801705504 16916397277 17776918692 18990558704 19720964808 20820181264 21364378542 22186085409 23422703922 23702558256 26294619744 28485838056 29581447212 30859657894 31230271896 32046567813 33832794554 35134055883 35553837384 37981117408 39441929616 41640362528 42728757084 44372170818 46289486841 46845407844 47405116512 50749191831 56971676112 59162894424 61719315788 62460543792 64093135626 66558256227 67665589108 70268111766 71107674768 78883859232 85457514168 88744341636 92578973682 93690815688 96139703439 101498383662 105402167649 113943352224 118325788848 123438631576 124921087584 128186271252 133116512454 135331178216 138868460523 140536223532 142215349536 152247575493 170915028336 177488683272 185157947364 187381631376 192279406878 202996767324 210804335298 219913164601 236651577696 246877263152 256372542504 266233024908 270662356432 277736921046 281072447064 288419110317 304495150986 316206502947 341830056672 354977366544 370315894728 374763262752 384558813756 405993534648 416605381569 421608670596 439826329202 456742726479 493754526304 512745085008 532466049816 541324712864 555473842092 562144894128 576838220634 608990301972 632413005894 659739493803 709954733088 740631789456 769117627512 811987069296 833210763138 843217341192 865257330951 879652658404 913485452958 948619508841 1025490170016 1064932099632 1110947684184 1124289788256 1153676441268 1217980603944 1249816144707 1264826011788 1319478987606 1370228179437 1481263578912 1538235255024 1623974138592 1666421526276 1686434682384 1730514661902 1759305316808 1826970905916 1897239017682 1979218481409 2129864199264 2221895368368 2307352882536 2435961207888 2499632289414 2529652023576 2638957975212 2740456358874 3076470510048 3293492423699 3332843052552 3372869364768 3461029323804 3518610633616 3653941811832 3749448434121 3794478035364 3958436962818 4110684538311 4443790736736 4614705765072 4871922415776 4999264578828 5059304047152 5277915950424 5480912717748 5937655444227 6586984847398 6665686105104 6922058647608 7037221267232 7307883623664 7498896868242 7588956070728 7916873925636 8221369076622 9229411530144 9880477271097 9998529157656 10118608094304 10555831900848 10961825435496 11248345302363 11875310888454 12332053614933 13173969694796 13331372210208 13844117295216 14615767247328 14997793736484 15177912141456 15833747851272 16442738153244 17812966332681 19760954542194 19997058315312 21111663801696 21923650870992 22496690604726 23750621776908 24664107229866 26347939389592 27688234590432 29641431813291 29995587472968 30355824282912 31667495702544 32885476306488 35625932665362 39521909084388 39994116630624 42815401508087 43847301741984 44993381209452 47501243553816 49328214459732 52695878779184 53438898998043 59282863626582 59991174945936 63334991405088 65770952612976 71251865330724 79043818168776 85630803016174 88924295439873 89986762418904 95002487107632 98656428919464 105391757558368 106877797996086 118565727253164 119982349891872 128446204524261 131541905225952 142503730661448 158087636337552 160316696994129 171261606032348 177848590879746 179973524837808 190004974215264 197312857838928 213755595992172 237131454506328 256892409048522 266772886319619 285007461322896 316175272675104 320633393988258 342523212064696 355697181759492 359947049675616 385338613572783 394625715677856 427511191984344 474262909012656 513784818097044 533545772639238 556600219605131 570014922645792 641266787976516 685046424129392 711394363518984 770677227145566 800318658958857 855022383968688 948525818025312 1027569636194088 1067091545278476 1113200439210262 1156015840718349 1282533575953032 1370092848258784 1422788727037968 1541354454291132 1600637317917714 1669800658815393 1710044767937376 2055139272388176 2134183090556952 2226400878420524 2312031681436698 2400955976876571 2565067151906064 2845577454075936 3082708908582264 3201274635835428 3339601317630786 3468047522155047 4110278544776352 4268366181113904 4452801756841048 4624063362873396 4801911953753142 5009401976446179 5130134303812128 6165417817164528 6402549271670856 6679202635261572 6936095044310094 8536732362227808 8905603513682096 9248126725746792 9603823907506284 10018803952892358 10404142566465141 12330835634329056 12805098543341712 13358405270523144 13872190088620188 15028205929338537 17811207027364192 18496253451493584 19207647815012568 20037607905784716 20808285132930282 25610197086683424 26716810541046288 27744380177240376 30056411858677074 31212427699395423 36992506902987168 38415295630025136 40075215811569432 41616570265860564 45084617788015611 53433621082092576 55488760354480752 60112823717354148 62424855398790846 76830591260050272 80150431623138864 83233140531721128 90169235576031222 110977520708961504 120225647434708296 124849710797581692 135253853364046833 160300863246277728 166466281063442256 180338471152062444 240451294869416592 249699421595163384 270507706728093666 332932562126884512 360676942304124888 405761560092140499 480902589738833184 499398843190326768 541015413456187332 721353884608249776 811523120184280998 998797686380653536 1082030826912374664 1442707769216499552 1623046240368561996 2164061653824749328 3246092480737123992 4328123307649498656 6492184961474247984 12984369922948495968
- Sum of all divisors σ(n): 41519495284763802012
- Sum of proper divisors (its aliquot sum) s(n): 28535125361815306044
- 12984369922948495968 is an abundant number, because the sum of its proper divisors (28535125361815306044) is greater than itself. Its abundance is 15550755438866810076
Bases of 12984369922948495968
- Binary: 10110100001100011011111110100110100110011001110001111010011000002
- Hexadecimal: 0xB431BFA6999C7A60
- Base-36: 2QNDAZVP6TI00
Squares and roots of 12984369922948495968
- 12984369922948495968 squared (129843699229484959682) is 168593862295969531120974593593312257024
- 12984369922948495968 cubed (129843699229484959683) is 2189085074789507240332899779298272492710054139680243679232
-
The
square root of 12984369922948495968 is 3603383121.8659633345 -
The
cube root of 12984369922948495968 is 2350391.9625630897
Scales and comparisons
How big is 12984369922948495968?- 12,984,369,922,948,495,968 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 12,984,369,922,948,495,968 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 12984369922948495968 cubic inches would be around 195866 feet tall.
Recreational maths with 12984369922948495968
- 12984369922948495968 backwards is 86959484922996348921
- 12984369922948495968 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 12984369922948495968's digits is 117
- More coming soon!
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The information we have on file for 12984369922948495968 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 12984369922948495968, math, Factors of 12984369922948495968, curriculum, school, college, exams, university, Prime factorization of 12984369922948495968, STEM, science, technology, engineering, physics, economics, calculator, twelve quintillion, nine hundred eighty-four quadrillion, three hundred sixty-nine trillion, nine hundred twenty-two billion, nine hundred forty-eight million, four hundred ninety-five thousand, nine hundred sixty-eight.