12987978816384
12,987,978,816,384 is an even composite number composed of seven prime numbers multiplied together.
12987978816384 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 12987978816384:
27 × 32 × 112 × 13 × 29 × 592 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 13 × 29 × 59 × 59 × 71)See below for interesting mathematical facts about the number 12987978816384 from the Numbermatics database.
Names of 12987978816384
- Cardinal: 12987978816384 can be written as Twelve trillion, nine hundred eighty-seven billion, nine hundred seventy-eight million, eight hundred sixteen thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.2987978816384 × 1013
Factors of 12987978816384
Divisors of 12987978816384
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 29 32 33 36 39 44 48 52 58 59 64 66 71 72 78 87 88 96 99 104 116 117 118 121 128 132 142 143 144 156 174 176 177 192 198 208 213 232 234 236 242 261 264 284 286 288 312 319 348 352 354 363 377 384 396 416 426 429 464 468 472 484 522 528 531 568 572 576 624 638 639 649 696 704 708 726 754 767 781 792 832 852 858 923 928 936 944 957 968 1044 1056 1062 1089 1131 1136 1144 1152 1248 1276 1278 1287 1298 1392 1408 1416 1452 1508 1534 1562 1573 1584 1664 1704 1711 1716 1846 1856 1872 1888 1914 1936 1947 2059 2088 2112 2124 2178 2262 2272 2288 2301 2343 2496 2552 2556 2574 2596 2769 2784 2832 2871 2904 3016 3068 3124 3146 3168 3393 3408 3422 3432 3481 3509 3692 3712 3744 3776 3828 3872 3894 4118 4147 4176 4189 4224 4248 4356 4524 4544 4576 4602 4686 4719 4992 5104 5112 5133 5148 5192 5538 5568 5664 5742 5808 5841 6032 6136 6177 6248 6292 6336 6786 6816 6844 6864 6903 6962 7018 7029 7139 7384 7488 7552 7656 7744 7788 8236 8294 8307 8352 8378 8437 8496 8591 8712 9048 9088 9152 9204 9372 9438 10153 10208 10224 10266 10296 10384 10443 10527 11076 11136 11328 11484 11616 11682 12064 12272 12354 12441 12496 12567 12584 12672 13572 13632 13688 13728 13806 13924 14036 14058 14157 14278 14768 14976 15312 15399 15488 15576 16472 16588 16614 16704 16756 16874 16992 17182 17424 18096 18304 18408 18531 18744 18821 18876 20306 20416 20448 20532 20592 20768 20886 21054 21417 22152 22243 22649 22656 22968 23232 23364 24128 24544 24708 24882 24992 25134 25168 25311 25773 26767 27144 27264 27376 27456 27612 27848 28072 28116 28314 28556 29536 30459 30624 30798 31152 31329 31581 32944 33176 33228 33408 33512 33748 33984 34364 34848 36192 36816 37062 37323 37488 37642 37701 37752 38291 40612 40832 40896 41064 41184 41536 41772 42108 42834 44304 44486 45253 45298 45617 45936 46079 46464 46728 48256 49088 49416 49764 49984 50268 50336 50622 51546 53534 54288 54457 54752 54912 55224 55696 56144 56232 56463 56628 57112 59072 60918 61248 61596 62304 62658 63162 64251 65888 66352 66456 66729 67024 67496 67947 67968 68728 69696 72384 73632 74124 74646 74976 75284 75402 75504 75933 76582 77319 80301 81224 81792 82128 82368 83072 83544 84216 85668 88608 88972 90506 90596 91234 91377 91872 92158 92807 93456 98176 98832 99528 99968 100536 100672 100949 101244 103092 107068 108576 108914 109504 110448 111392 111683 112288 112464 112926 113256 114224 114873 118144 121481 121836 122496 123192 124608 125316 126324 128502 131776 132704 132912 133458 134048 134992 135759 135894 136851 137456 138237 139392 144768 147264 148248 149292 149952 150568 150804 151008 151866 153164 154638 160602 162448 163371 164256 164736 167088 168432 169389 171336 177216 177944 181012 181192 182468 182754 183744 184316 185614 186912 197664 199056 200187 201072 201344 201898 202488 203841 206184 207031 214136 217152 217828 219008 220896 222784 223366 224576 224928 225852 226512 228448 229746 240903 242962 243672 244673 246384 247151 249139 249216 250632 252648 257004 263552 265408 265824 266916 268096 269984 271518 271788 273702 274912 276474 278421 294437 294528 296496 298584 299904 301136 301608 302016 302847 303732 306328 309276 321204 324896 326742 328512 334176 335049 336864 338778 342672 344619 354432 355888 362024 362384 364443 364936 365508 367488 368632 371228 373824 395328 398112 400374 402144 403796 404976 407277 407682 410553 412368 414062 414711 421201 428272 434304 435656 441792 445568 446732 449152 449856 451704 453024 456896 459492 481806 485924 487344 489346 490113 492768 494302 497783 498278 501264 505296 506869 514008 530816 531648 533832 536192 539968 543036 543576 547404 549824 552948 556842 588874 592992 597168 599027 602272 603216 604032 605694 607464 612656 618552 621093 642408 649792 653484 657024 668352 670098 673728 677556 685344 689238 711776 724048 724768 728886 729872 731016 734019 737264 741453 742456 747417 747648 790656 796224 800748 804288 807592 809952 814554 815364 821106 824736 828124 829422 835263 842402 856544 871312 883311 883584 893464 899712 903408 906048 908541 913792 918984 963612 971848 974688 978692 980226 985536 988604 995566 996556 1002528 1005147 1010592 1013738 1028016 1063296 1067664 1079936 1086072 1087152 1093329 1094808 1099648 1105896 1110439 1113684 1177748 1185984 1194336 1198054 1204544 1206432 1211388 1214928 1225312 1237104 1242186 1263603 1284816 1299584 1306968 1312337 1336291 1336704 1340196 1347456 1355112 1370688 1378476 1423552 1448096 1449536 1457772 1459744 1462032 1468038 1474528 1482906 1484912 1493349 1494834 1520607 1579253 1592448 1601496 1608576 1615184 1619904 1629108 1630728 1642212 1649472 1656248 1658844 1670526 1684804 1713088 1742624 1766622 1786928 1797081 1806816 1812096 1817082 1837968 1863279 1927224 1943696 1949376 1957384 1960452 1971072 1977208 1991132 1993112 2005056 2010294 2021184 2027476 2056032 2135328 2172144 2174304 2186658 2189616 2202057 2211792 2220878 2224359 2227368 2242251 2355496 2371968 2388672 2396108 2409088 2412864 2422776 2429856 2450624 2474208 2484372 2527206 2569632 2613936 2624674 2649933 2672582 2680392 2691403 2710224 2718661 2741376 2756952 2847104 2896192 2899072 2915544 2919488 2924064 2936076 2949056 2965812 2969824 2986698 2989668 3041214 3158506 3202992 3212963 3230368 3238807 3239808 3258216 3261456 3284424 3298944 3312496 3317688 3331317 3341052 3369608 3426176 3485248 3533244 3573856 3594162 3613632 3634164 3675936 3726558 3790809 3854448 3887392 3898752 3914768 3920904 3937011 3954416 3982264 3986224 4008873 4010112 4020588 4042368 4054952 4112064 4270656 4344288 4348608 4373316 4379232 4404114 4423584 4441756 4448718 4454736 4480047 4484502 4561821 4710992 4737759 4777344 4792216 4825728 4845552 4859712 4901248 4948416 4968744 5054412 5139264 5227872 5249348 5299866 5345164 5360784 5382806 5391243 5420448 5437322 5475613 5513904 5792384 5831088 5838976 5848128 5872152 5898112 5931624 5939648 5973396 5979336 6082428 6317012 6405984 6425926 6460736 6477614 6516432 6522912 6568848 6589297 6624992 6635376 6662634 6682104 6739216 6970496 7066488 7147712 7167379 7188324 7227264 7268328 7351872 7453116 7581618 7708896 7774784 7829536 7841808 7874022 7908832 7964528 7972448 8017746 8041176 8074209 8109904 8155983 8224128 8541312 8688576 8697216 8746632 8758464 8808228 8847168 8883512 8897436 8909472 8960094 8969004 9123642 9421984 9475518 9584432 9638889 9691104 9716421 9719424 9896832 9937488 9993951 10108824 10278528 10455744 10498696 10599732 10690328 10721568 10765612 10782486 10840896 10874644 10951226 11027808 11662176 11696256 11744304 11811033 11863248 11879296 11946792 11958672 12026619 12164856 12214829 12634024 12811968 12851852 12921472 12955228 13032864 13045824 13137696 13178594 13249984 13270752 13325268 13364208 13478432 14132976 14213277 14295424 14334758 14376648 14435707 14536656 14699201 14703744 14906232 15163236 15417792 15549568 15659072 15683616 15748044 15817664 15929056 15944896 16035492 16082352 16148418 16219808 16311966 16426839 17371783 17377152 17493264 17516928 17616456 17694336 17767024 17794872 17818944 17920188 17938008 18247284 18843968 18951036 19168864 19277778 19382208 19432842 19767891 19874976 19987902 20217648 20911488 20997392 21199464 21380656 21443136 21502137 21531224 21564972 21681792 21749288 21902452 22055616 23324352 23488608 23622066 23726496 23893584 23917344 24053238 24222627 24329712 24429658 24467949 25268048 25623936 25703704 25910456 26065728 26091648 26275392 26357188 26499968 26541504 26650536 26728416 26956864 28265952 28426554 28669516 28753296 28871414 28916667 29073312 29149263 29398402 29812464 29905271 30326472 30835584 31318144 31367232 31496088 31635328 31858112 31889792 32070984 32164704 32296836 32439616 32623932 32853678 34743566 34986528 35232912 35342593 35534048 35589744 35637888 35840376 35876016 36494568 36644487 37687936 37902072 38337728 38555556 38764416 38865684 39535782 39749952 39975804 40435296 41994784 42398928 42761312 42886272 43004274 43062448 43129944 43307121 43498576 43804904 44097603 44111232 46648704 46977216 47244132 47452992 47787168 47834688 48106476 48445254 48659424 48859316 48935898 49280517 50536096 51407408 51820912 52115349 52131456 52550784 52714376 53083008 53301072 53456832 53913728 56531904 56853108 57339032 57506592 57742828 57833334 58146624 58298526 58796804 59303673 59624928 59810542 60652944 62734464 62992176 63716224 64141968 64329408 64506411 64593672 64879232 65247864 65707356 69487132 69973056 70465824 70685186 71068096 71179488 71680752 71752032 72989136 73288974 75804144 76675456 77111112 77731368 78841169 79071564 79499904 79951608 80870592 83989568 84797856 85522624 86008548 86124896 86259888 86614242 86997152 87609808 88195206 89715813 93175927 93954432 94488264 94905984 95574336 95669376 96212952 96890508 97318848 97718632 97871796 98561034 101072192 102814816 103641824 104230698 105428752 106027779 106602144 106913664 109933461 113063808 113706216 114678064 115013184 115485656 115666668 116293248 116597052 117593608 118607346 119249856 119621084 121305888 125984352 128283936 128658816 129012822 129187344 129921363 130495728 131414712 132292809 138974264 139946112 140931648 141370372 142136192 142358976 143361504 143504064 145978272 146577948 151608288 154222224 155462736 156346047 157682338 158143128 158792777 159903216 161741184 167979136 169595712 171045248 172017096 172249792 172519776 173228484 173994304 175219616 176390412 179431626 186351854 188976528 191089613 191148672 192425904 193781016 194637696 195437264 195743592 197122068 202144384 205629632 207283648 208461396 210857504 212055558 213204288 219866922 227412432 229356128 230026368 230971312 231333336 233194104 235187216 236523507 237214692 238499712 239242168 242611776 251968704 256567872 258025644 258374688 259842726 260991456 262829424 264585618 269147439 277948528 279527781 281863296 282740744 284717952 286723008 287008128 291956544 293155896 303216576 308444448 310925472 312692094 315364676 316286256 317585554 318083337 319806432 339191424 344034192 344499584 345039552 346456968 347988608 350439232 352780824 358863252 372703708 377953056 382179226 384851808 387562032 388768523 390874528 391487184 394244136 411259264 414567296 416922792 421715008 424111116 426408576 439733844 454824864 458712256 461942624 462666672 466388208 470374432 473047014 474429384 476378331 478484336 485223552 503937408 513135744 516051288 516749376 519685452 521982912 525658848 529171236 538294878 555897056 559055562 565481488 573268839 573446016 583913088 586311792 606433152 616888896 621850944 625384188 630729352 632572512 635171108 636166674 639612864 688068384 690079104 692913936 700878464 705561648 709570521 717726504 745407416 755906112 764358452 769703616 775124064 777537046 781749056 782974368 788488272 833845584 838583343 843430016 848222232 867252859 879467688 909649728 917424512 923885248 925333344 932776416 940748864 946094028 948858768 952756662 956968672 1024935197 1032102576 1033498752 1039370904 1043965824 1051317696 1058342472 1076589756 1111794112 1118111124 1130962976 1146537678 1166305569 1172623584 1233777792 1243701888 1250768376 1261458704 1265145024 1270342216 1272333348 1279225728 1376136768 1385827872 1411123296 1419141042 1429134993 1435453008 1490814832 1511812224 1528716904 1539407232 1550248128 1555074092 1563498112 1565948736 1576976544 1667691168 1677166686 1696444464 1719806517 1734505718 1758935376 1819299456 1847770496 1850666688 1865552832 1881497728 1892188056 1897717536 1905513324 1913937344 2049870394 2064205152 2078741808 2102635392 2116684944 2153179512 2223588224 2236222248 2261925952 2293075356 2332611138 2345247168 2501536752 2522917408 2530290048 2540684432 2544666696 2601758577 2752273536 2771655744 2822246592 2838282084 2858269986 2870906016 2981629664 3057433808 3074805591 3100496256 3110148184 3131897472 3153953088 3335382336 3354333372 3392888928 3439613034 3469011436 3498916707 3517870752 3701333376 3731105664 3784376112 3795435072 3811026648 3827874688 4099740788 4128410304 4157483616 4233369888 4306359024 4472444496 4523851904 4586150712 4665222276 4690494336 5003073504 5045834816 5081368864 5089333392 5203517154 5543311488 5644493184 5676564168 5716539972 5741812032 5963259328 6114867616 6149611182 6220296368 6307906176 6670764672 6708666744 6785777856 6879226068 6938022872 6997833414 7035741504 7568752224 7590870144 7622053296 7805275731 8199481576 8256820608 8314967232 8466739776 8612718048 8944888992 9172301424 9224416773 9330444552 10006147008 10091669632 10162737728 10178666784 10407034308 11274287167 11353128336 11433079944 11483624064 11926518656 12229735232 12299222364 12440592736 13417333488 13571555712 13758452136 13876045744 13995666828 14071483008 15137504448 15244106592 15610551462 16398963152 16629934464 16933479552 17225436096 17889777984 18344602848 18448833546 18660889104 20012294016 20325475456 20357333568 20814068616 22548574334 22706256672 22866159888 24459470464 24598444728 24881185472 26834666976 27516904272 27752091488 27991333656 30275008896 30488213184 31221102924 32797926304 33822861501 34450872192 35779555968 36689205696 36897667092 37321778208 40714667136 41628137232 45097148668 45412513344 45732319776 49196889456 49762370944 53669333952 55033808544 55504182976 55982667312 60976426368 62442205848 65595852608 67645723002 73378411392 73795334184 74643556416 83256274464 90194297336 90825026688 91464639552 98393778912 101468584503 107338667904 110067617088 111008365952 111965334624 124884411696 131191705216 135291446004 147590668368 149287112832 166512548928 180388594672 182929279104 196787557824 202937169006 220135234176 223930669248 249768823392 270582892008 295181336736 333025097856 360777189344 393575115648 405874338012 447861338496 499537646784 541165784016 590362673472 721554378688 811748676024 999075293568 1082331568032 1180725346944 1443108757376 1623497352048 2164663136064 3246994704096 4329326272128 6493989408192 12987978816384
- Sum of all divisors σ(n): 47210966056800
- Sum of proper divisors (its aliquot sum) s(n): 34222987240416
- 12987978816384 is an abundant number, because the sum of its proper divisors (34222987240416) is greater than itself. Its abundance is 21235008424032
Bases of 12987978816384
- Binary: 101111001111111111111101110100011011100000002
- Hexadecimal: 0xBCFFFDD1B80
- Base-36: 4LQLF8WW0
Squares and roots of 12987978816384
- 12987978816384 squared (129879788163842) is 168687593734839529586835456
- 12987978816384 cubed (129879788163843) is 2190910894014886167427402514367044911104
-
The
square root of 12987978816384 is 3603883.8516777979 -
The
cube root of 12987978816384 is 23506.0969943787
Scales and comparisons
How big is 12987978816384?- 12,987,978,816,384 seconds is equal to 412,977 years, 28 weeks, 4 days, 21 hours, 26 minutes, 24 seconds.
-
To count from 1 to 12,987,978,816,384 would take you about one million, thirty-two thousand, four hundred forty-three 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 12987978816384 cubic inches would be around 1958.8 feet tall.
Recreational maths with 12987978816384
- 12987978816384 backwards is 48361887978921
- The number of decimal digits it has is: 14
- The sum of 12987978816384's digits is 81
- More coming soon!
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"Number 12987978816384 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 12987978816384 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/12987978816384/
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The information we have on file for 12987978816384 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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