12973937378688
12,973,937,378,688 is an even composite number composed of six prime numbers multiplied together.
What does the number 12973937378688 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
12973937378688 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 12973937378688:
27 × 32 × 11 × 13 × 232 × 533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 23 × 23 × 53 × 53 × 53)See below for interesting mathematical facts about the number 12973937378688 from the Numbermatics database.
Names of 12973937378688
- Cardinal: 12973937378688 can be written as Twelve trillion, nine hundred seventy-three billion, nine hundred thirty-seven million, three hundred seventy-eight thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.2973937378688 × 1013
Factors of 12973937378688
Divisors of 12973937378688
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 23 24 26 32 33 36 39 44 46 48 52 53 64 66 69 72 78 88 92 96 99 104 106 117 128 132 138 143 144 156 159 176 184 192 198 207 208 212 234 253 264 276 286 288 299 312 318 352 368 384 396 414 416 424 429 468 477 506 528 529 552 572 576 583 598 624 636 689 704 736 759 792 828 832 848 858 897 936 954 1012 1056 1058 1104 1144 1152 1166 1196 1219 1248 1272 1287 1378 1408 1472 1518 1584 1587 1656 1664 1696 1716 1749 1794 1872 1908 2024 2067 2112 2116 2208 2277 2288 2332 2392 2438 2496 2544 2574 2691 2756 2809 2944 3036 3168 3174 3289 3312 3392 3432 3498 3588 3657 3744 3816 4048 4134 4224 4232 4416 4554 4576 4664 4761 4784 4876 4992 5088 5148 5247 5382 5512 5618 5819 6072 6201 6336 6348 6578 6624 6784 6864 6877 6996 7176 7314 7488 7579 7632 8096 8268 8427 8464 8832 9108 9152 9328 9522 9568 9752 9867 10176 10296 10494 10764 10971 11024 11236 11638 12144 12402 12672 12696 13156 13248 13409 13728 13754 13992 14352 14628 14976 15158 15264 15847 16192 16536 16854 16928 17457 18216 18304 18656 19044 19136 19504 19734 20352 20592 20631 20988 21528 21942 22048 22472 22737 23276 24288 24804 25281 25392 26312 26496 26818 27456 27508 27984 28037 28704 29256 29601 30316 30528 30899 31694 32384 33072 33708 33856 34914 36432 36517 37312 38088 38272 39008 39468 40227 41184 41262 41976 43056 43884 44096 44944 45474 46552 47541 48576 49608 50562 50784 52371 52624 53636 54912 55016 55968 56074 57408 58512 59202 60632 61056 61798 61893 63388 64607 66144 67416 67712 68211 69828 72864 73034 74624 75647 76176 78016 78936 80454 82368 82524 83952 84111 86112 87768 88192 89888 90948 92697 93104 95082 97152 99216 101124 101568 104742 105248 107272 109551 110032 111936 112148 114816 117024 118404 120681 121264 123596 123786 126776 129214 132288 134832 136422 139656 142623 145728 146068 148877 151294 152352 156032 157872 160908 164736 165048 167904 168222 172224 174317 175536 179776 181896 185394 186208 190164 193821 198432 202248 203136 209484 210496 214544 219102 220064 223872 224296 226941 234048 236808 241362 242528 247192 247572 252333 253552 258428 264576 269664 272844 278091 279312 285246 291456 292136 297754 302588 304704 308407 315744 321816 328653 330096 335808 336444 344448 348634 351072 359552 363792 364481 370788 372416 380328 387642 396864 401687 404496 418968 420992 429088 438204 440128 446631 448592 453882 468096 473616 482724 485056 494384 495144 504666 507104 516856 522951 539328 545688 556182 558624 570492 581463 584272 595508 605176 609408 616814 631488 643632 657306 660192 671616 672888 680823 697268 702144 710677 727584 728962 741576 744832 760656 775284 793728 803374 808992 837936 839891 858176 876408 880256 893262 897184 907764 925221 947232 965448 970112 988768 990288 1009332 1014208 1033712 1045902 1078656 1091376 1093443 1112364 1117248 1140984 1162926 1168544 1191016 1205061 1210352 1233628 1262976 1287264 1314612 1320384 1339893 1345776 1361646 1394536 1404288 1421354 1455168 1457924 1483152 1485961 1521312 1550568 1568853 1606748 1617984 1637647 1675872 1679782 1716352 1752816 1786524 1794368 1815528 1850442 1894464 1930896 1935401 1977536 1980576 2018664 2028416 2067424 2091804 2132031 2182752 2186886 2224728 2234496 2281968 2325852 2337088 2382032 2410122 2420704 2467256 2519673 2574528 2629224 2640768 2679786 2691552 2723292 2775663 2789072 2842708 2910336 2915848 2966304 2971922 3042624 3101136 3137706 3213496 3235968 3275294 3280329 3351744 3359564 3424171 3505632 3573048 3588736 3615183 3631056 3700884 3788928 3861792 3870802 3955072 3961152 4009291 4037328 4134848 4183608 4264062 4365504 4373772 4449456 4457883 4563936 4651704 4674176 4764064 4820244 4841408 4912941 4934512 5039346 5149056 5258448 5359572 5383104 5446584 5551326 5578144 5685416 5806203 5831696 5932608 5943844 6085248 6202272 6275412 6396093 6426992 6550588 6560658 6703488 6719128 6848342 7011264 7146096 7230366 7262112 7401768 7559019 7723584 7741604 7922304 8018582 8074656 8269696 8367216 8528124 8731008 8747544 8898912 8915766 9127872 9238801 9303408 9528128 9640488 9682816 9825882 9869024 10078692 10272513 10516896 10719144 10766208 10893168 11102652 11156288 11370832 11612406 11663392 11865216 11887688 12027873 12404544 12550824 12792186 12853984 13101176 13121316 13373649 13438256 13696684 14022528 14292192 14460732 14524224 14738823 14803536 15118038 15447168 15483208 16037164 16149312 16345571 16734432 17056248 17418609 17495088 17797824 17831532 18255744 18477602 18606816 19056256 19280976 19317493 19651764 19738048 20157384 20545026 21033792 21289411 21438288 21786336 22205304 22312576 22741664 23224812 23326784 23775376 24055746 24809088 25101648 25584372 25707968 26202352 26242632 26747298 26876512 27393368 27716403 28584384 28921464 29048448 29477646 29607072 30236076 30817539 30966416 32074328 32298624 32691142 33468864 34112496 34837218 34990176 35595648 35663064 36083619 36955204 37213632 37665881 38561952 38634986 39303528 39476096 40314768 41090052 42067584 42578822 42876576 43572672 44410608 44514223 45483328 46449624 46653568 47550752 48111492 49036713 50203296 51168744 51415936 52404704 52485264 53494596 53753024 54786736 55432806 57168768 57842928 57952479 58955292 59214144 60472152 61635078 61932832 63868233 64148656 65382284 66937728 68224992 69674436 69980352 71326128 72167238 73910408 74427264 75331762 77123904 77269972 78607056 78755933 80629536 82180104 83149209 85157644 85753152 87145344 88821216 89028446 90966656 92899248 95101504 96222984 98073426 100406592 102337488 104809408 104970528 106989192 107506048 109573472 110865612 112997643 115685856 115904958 117910584 118428288 120944304 123270156 123865664 127736466 128297312 130764568 133542669 136449984 139348872 139960704 142652256 144334476 147110139 147820816 150663524 154247808 154539944 157214112 157511866 161259072 164360208 166298418 170315288 171506304 173857437 177642432 178056892 185798496 190203008 191604699 192445968 196146852 200813184 204674976 209618816 209941056 212492423 213978384 219146944 221731224 225995286 231371712 231809916 235821168 236267799 241888608 246540312 247731328 255472932 256594624 261529136 267085338 272899968 278697744 285304512 288668952 294220278 295641632 301327048 309079888 314428224 315023732 322518144 328720416 332596836 338992929 340630576 347714874 355284864 356113784 371596992 383209398 384891936 392293704 400628007 409349952 419882112 424984846 427956768 438293888 443462448 451990572 462743424 463619832 471642336 472535598 483777216 489656453 493080624 510945864 513189248 523058272 534170676 557395488 570609024 577337904 588440556 591283264 602654096 618159776 628856448 630047464 637477269 657440832 665193672 677985858 681261152 695429748 708803397 712227568 743193984 766418796 769783872 784587408 801256014 818699904 849969692 855913536 866315263 886924896 903981144 927239664 943284672 945071196 967554432 979312906 986161248 1021891728 1023827129 1046116544 1068341352 1114790976 1154675808 1176881112 1182566528 1205308192 1236319552 1260094928 1274954538 1314881664 1330387344 1355971716 1362522304 1390859496 1417606794 1424455136 1468969359 1532837592 1539567744 1569174816 1602512028 1699939384 1711827072 1732630526 1773849792 1807962288 1854479328 1886569344 1890142392 1912431807 1958625812 1972322496 2043783456 2047654258 2092233088 2136682704 2229581952 2309351616 2353762224 2410616384 2472639104 2520189856 2549909076 2598945789 2660774688 2711943432 2725044608 2781718992 2835213588 2848910272 2937938718 3065675184 3071481387 3138349632 3205024056 3399878768 3465261052 3547699584 3615924576 3708958656 3780284784 3824863614 3917251624 3944644992 4087566912 4095308516 4273365408 4406908077 4618703232 4707524448 4821232768 5040379712 5099818152 5197891578 5321549376 5423886864 5563437984 5670427176 5697820544 5875877436 6131350368 6142962774 6276699264 6410048112 6799757536 6930522104 7231849152 7417917312 7560569568 7649727228 7796837367 7834503248 8175133824 8190617032 8546730816 8813816154 9214444161 9415048896 10080759424 10199636304 10395783156 10643098752 10847773728 11126875968 11262098419 11340854352 11751754872 12262700736 12285925548 12820096224 13599515072 13861044208 14463698304 15121139136 15299454456 15593674734 15669006496 16381234064 17093461632 17627632308 18428888322 18830097792 20399272608 20791566312 21695547456 22253751936 22524196838 22681708704 23503509744 24525401472 24571851096 25640192448 27199030144 27722088416 30242278272 30598908912 31187349468 31338012992 32762468128 33786295257 35255264616 36857776644 40798545216 41583132624 43391094912 45048393676 45363417408 47007019488 49143702192 51280384896 55444176832 61197817824 62374698936 62676025984 65524936256 67572590514 70510529232 73715553288 81597090432 83166265248 90096787352 90726834816 94014038976 98287404384 101358885771 110888353664 122395635648 124749397872 131049872512 135145181028 141021058464 147431106576 166332530496 180193574704 188028077952 196574808768 202717771542 244791271296 249498795744 270290362056 282042116928 294862213152 332665060992 360387149408 393149617536 405435543084 498997591488 540580724112 564084233856 589724426304 720774298816 810871086168 997995182976 1081161448224 1179448852608 1441548597632 1621742172336 2162322896448 3243484344672 4324645792896 6486968689344 12973937378688
- Sum of all divisors σ(n): 46732393562400
- Sum of proper divisors (its aliquot sum) s(n): 33758456183712
- 12973937378688 is an abundant number, because the sum of its proper divisors (33758456183712) is greater than itself. Its abundance is 20784518805024
Bases of 12973937378688
- Binary: 101111001100101110101110110111000101100000002
- Hexadecimal: 0xBCCBAEDC580
- Base-36: 4LK57C680
Squares and roots of 12973937378688
- 12973937378688 squared (129739373786882) is 168323051106117652716601344
- 12973937378688 cubed (129739373786883) is 2183812724440470318206546363115657756672
-
The
square root of 12973937378688 is 3601935.2268867913 -
The
cube root of 12973937378688 is 23497.6230453493
Scales and comparisons
How big is 12973937378688?- 12,973,937,378,688 seconds is equal to 412,531 years, 4 weeks, 6 hours, 4 minutes, 48 seconds.
-
To count from 1 to 12,973,937,378,688 would take you about one million, thirty-one thousand, three hundred twenty-seven 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 12973937378688 cubic inches would be around 1958.1 feet tall.
Recreational maths with 12973937378688
- 12973937378688 backwards is 88687373937921
- The number of decimal digits it has is: 14
- The sum of 12973937378688's digits is 81
- More coming soon!
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The information we have on file for 12973937378688 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!
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