3978638137320
3,978,638,137,320 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3978638137320 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
3978638137320 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 3978638137320:
23 × 3 × 5 × 72 × 113 × 232 × 312
(2 × 2 × 2 × 3 × 5 × 7 × 7 × 11 × 11 × 11 × 23 × 23 × 31 × 31)See below for interesting mathematical facts about the number 3978638137320 from the Numbermatics database.
Names of 3978638137320
- Cardinal: 3978638137320 can be written as Three trillion, nine hundred seventy-eight billion, six hundred thirty-eight million, one hundred thirty-seven thousand, three hundred twenty.
Scientific notation
- Scientific notation: 3.97863813732 × 1012
Factors of 3978638137320
Divisors of 3978638137320
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 23 24 28 30 31 33 35 40 42 44 46 49 55 56 60 62 66 69 70 77 84 88 92 93 98 105 110 115 120 121 124 132 138 140 147 154 155 161 165 168 184 186 196 210 217 220 230 231 242 245 248 253 264 276 280 294 308 310 322 330 341 345 363 372 385 392 420 434 440 460 462 465 483 484 490 506 529 539 552 588 605 616 620 644 651 660 682 690 713 726 735 744 759 770 805 840 847 868 920 924 930 961 966 968 980 1012 1023 1058 1078 1085 1127 1155 1176 1210 1240 1265 1288 1302 1320 1331 1364 1380 1426 1452 1470 1518 1519 1540 1587 1610 1617 1694 1705 1736 1771 1815 1848 1860 1922 1932 1960 2024 2046 2116 2139 2156 2170 2254 2310 2387 2415 2420 2530 2541 2604 2645 2662 2695 2728 2760 2783 2852 2883 2904 2940 3036 3038 3080 3174 3220 3234 3255 3381 3388 3410 3542 3565 3630 3703 3720 3751 3795 3844 3864 3993 4092 4232 4235 4278 4312 4340 4508 4557 4620 4774 4805 4830 4840 4991 5060 5082 5115 5208 5290 5313 5324 5390 5566 5635 5704 5766 5819 5880 5929 6072 6076 6348 6440 6468 6510 6655 6727 6762 6776 6820 7084 7130 7161 7260 7406 7502 7590 7595 7688 7843 7935 7986 8085 8184 8349 8470 8556 8680 8855 9016 9114 9240 9317 9548 9610 9660 9982 10120 10164 10230 10571 10580 10626 10648 10695 10780 11109 11132 11253 11270 11532 11638 11858 11935 12152 12397 12696 12705 12936 13020 13310 13454 13524 13640 13915 14168 14260 14322 14415 14520 14812 14973 15004 15180 15190 15686 15870 15972 16170 16399 16698 16709 16905 16940 17112 17457 17710 17787 18228 18515 18634 18755 19096 19220 19320 19481 19964 19965 20181 20328 20460 21142 21160 21252 21390 21560 22103 22218 22264 22506 22540 22785 23064 23276 23529 23716 23870 24794 24955 25410 25921 26040 26257 26565 26620 26908 27048 27830 27951 28520 28644 28830 29095 29624 29645 29946 30008 30360 30380 30613 31372 31713 31740 31944 32340 32798 33396 33418 33635 33810 33880 34914 34937 35420 35574 35805 36456 37030 37191 37268 37510 38440 38962 39215 39928 39930 40362 40733 40920 41261 41745 42284 42504 42780 44206 44436 45012 45080 45570 46552 46585 47058 47089 47432 47740 49197 49588 49910 50127 50820 51842 52514 52855 53130 53240 53816 54901 55545 55660 55902 56265 57288 57660 58190 58443 59290 59892 60760 61226 61985 62744 63426 63480 64009 64680 65219 65596 66309 66792 66836 67270 67620 69828 69874 70840 71148 71610 73997 74060 74382 74536 74865 75020 77763 77924 78430 78771 79860 80724 81466 81995 82522 83490 83545 84568 85560 86273 87285 88412 88872 88935 90024 91140 91839 93170 94116 94178 95480 97405 98394 99176 99820 100254 100905 101640 103684 104811 105028 105710 106260 109802 110515 111090 111320 111804 112530 114793 115320 116281 116380 116886 117645 118580 119784 122199 122452 123783 123970 126852 128018 129605 130438 131192 131285 132618 133672 134540 135240 136367 139656 139748 139755 141267 142296 143220 147994 148120 148764 149730 150040 153065 154721 155526 155848 156860 157542 158565 159720 161448 162932 163990 164703 165044 166980 167090 172546 174570 174685 176824 177870 180389 182280 183678 183799 185955 186340 188232 188356 192027 194810 195657 196788 199640 200508 201810 203665 206305 207368 209622 210056 211420 212520 214291 219604 221030 221991 222180 223608 225060 229586 232562 232760 233772 235290 235445 237160 243133 244398 244904 245985 247566 247940 250635 253704 256036 258819 259210 260876 262570 265236 269080 272734 274505 279496 279510 282534 285131 286440 288827 292215 295988 297528 299460 306130 309442 311052 313720 315084 317130 320045 325864 326095 327980 329406 330088 331545 333960 334180 344379 345092 348843 349140 349370 355740 360778 367356 367598 369985 371910 372680 376712 384054 384307 388815 389620 391314 393576 393855 401016 403620 407330 409101 412610 419244 422840 428582 431365 439208 442060 443982 444360 448063 450120 459172 459195 464163 465124 467544 470580 470890 486266 488796 491970 495132 495880 501270 508369 512072 517638 517979 518420 521752 524055 525140 530472 541167 545468 549010 551397 559020 565068 570262 573965 577654 581405 584430 591976 598920 603911 610995 612260 618884 618915 622104 630168 634260 640090 642873 652190 655960 658812 663090 668360 681835 688758 690184 697686 698280 698740 704099 706335 711480 721556 729399 734712 735196 739970 743820 768108 768614 773605 777630 779240 782628 787710 803551 807240 813967 814660 818202 823515 825220 838488 855393 857164 862730 866481 884120 887964 896126 901945 918344 918390 918995 928326 930248 941160 941780 949003 960135 972532 977592 978285 983940 990264 1002540 1016738 1035276 1035958 1036840 1048110 1050280 1071455 1082334 1083047 1090936 1098020 1102794 1109955 1118040 1130136 1140524 1147930 1152921 1155308 1162810 1168860 1207822 1215665 1221990 1224520 1237768 1237830 1262723 1268520 1279091 1280180 1285746 1294095 1304380 1317624 1326180 1344189 1363670 1377516 1395372 1397480 1408198 1412670 1425655 1443112 1444135 1458798 1470392 1479940 1487640 1500037 1525107 1536216 1537228 1547210 1553937 1555260 1565256 1575420 1607102 1627934 1629320 1636404 1647030 1650440 1701931 1710786 1714328 1721895 1725460 1732962 1744215 1775928 1792252 1803890 1811733 1836780 1837990 1856652 1883560 1898006 1920270 1921535 1945064 1956570 1967880 1984279 2005080 2021789 2033476 2045505 2070552 2071916 2096220 2112297 2142910 2164668 2166094 2196040 2205588 2219910 2240315 2281048 2295860 2305842 2310616 2320815 2325620 2337720 2410653 2415644 2431330 2441901 2443980 2475660 2525446 2541845 2558182 2560360 2571492 2588190 2589895 2608760 2652360 2674463 2688378 2705835 2727340 2755032 2756985 2790744 2816396 2825340 2847009 2851310 2888270 2917596 2959880 3000074 3019555 3050214 3074456 3094420 3107874 3110520 3136441 3150840 3214204 3214365 3249141 3255868 3272808 3294060 3403862 3421572 3443790 3450920 3465924 3488430 3520495 3558583 3584504 3607780 3623466 3646995 3673560 3675980 3713304 3788169 3796012 3837273 3840540 3843070 3913140 3968558 4017755 4043578 4066952 4069835 4091010 4143832 4192440 4224594 4227377 4276965 4285820 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11405240 11529210 11553080 11905674 11913517 12000296 12053265 12078220 12130734 12200856 12209505 12431496 12545764 12627230 12682131 12790910 12857460 12996564 13286042 13372315 13441890 13615448 13775160 13889953 13953720 14081980 14234332 14235045 14493864 14587980 14786079 15000370 15152676 15251070 15349092 15372280 15539370 15682205 15874232 16046778 16071020 16174312 16245705 16279340 16364040 16776177 16898376 16909508 17019310 17093307 17107860 17329620 17678122 17792915 17907274 17922520 18000444 18117330 18566520 18721241 18818646 18940845 18980060 19186365 19285224 19535208 19714772 19842790 19929063 20217890 20334760 20423172 20719160 21122970 21136885 21351498 21395704 21646680 21660940 21827069 22055880 22368236 22500555 22776072 22791076 23058420 23811348 23827034 24106530 24156440 24261468 24419010 24643465 24910081 25091528 25254460 25364262 25528965 25581820 25714920 25993128 26517183 26572084 26744630 26860911 26883780 27779906 27960295 28163960 28468664 28470090 28488845 29175960 29419093 29572158 29764185 30000740 30305352 30326835 30502140 30698184 31078740 31364410 32093556 32142040 32491410 32558680 33215105 33552354 33819016 34038620 34186614 34215720 34500851 34659240 35356244 35585830 35740551 35814548 36000888 36234660 37442482 37637292 37881690 37960120 38372730 39144413 39429544 39685580 39858126 40116945 40435780 40846344 41669859 42245940 42273770 42702996 43321880 43654138 44195305 44736472 44768185 45001110 45582152 46116840 46501147 47046615 47622696 47654068 48213060 48522936 48838020 49286930 49820162 50508920 50728524 51057930 51163640 53034366 53144168 53378745 53489260 53721822 53767560 55559812 55920590 56163723 56940180 56977690 58838186 59144316 59528370 59567585 60001480 60653670 61004280 61512649 62157480 62675459 62728820 63410655 64187112 64982820 65481207 66430210 67104708 68077240 68373228 69001702 69449765 70712488 71171660 71481102 71629096 72469320 73930395 74730243 74884964 75274584 75763380 76745460 78288826 79371160 79716252 80233890 80871560 83339718 83880885 84491880 84547540 85405992 85466535 87308276 88257279 88390610 89536370 90002220 93002294 93606205 94093230 95308136 96426120 97229671 97676040 98573860 99640324 99645315 101457048 102115860 103502553 106068732 106757490 106978520 107443644 109135345 111119624 111841180 112327446 113880360 113955380 117433239 117676372 118288632 119056740 119135170 121307340 123025298 124550405 125350918 125457640 126821310 129965640 130962414 131048687 132585915 132860420 134209416 134304555 136746456 138003404 138899530 139503441 142343320 142962204 147095465 147860790 149460486 149769928 151526760 152789483 153490920 156577652 159432504 160467780 166679436 167761770 169095080 170933070 172504255 174616552 176514558 176781220 178702755 179072740 180004440 184537947 186004588 187212410 188026377 188186460 194459342 195722065 197147720 199280648 199290630 204231720 205933651 207005106 208349295 212137464 213514980 214887288 218270690 223682360 224654892 227910760 232505735 234866478 235352744 238113480 238270340 242614680 246050596 249100810 250701836 253642620 261924828 262097374 265171830 265720840 268609110 274010891 276006808 277799060 279006882 280818615 285924408 291689013 294190930 295721580 298920972 305578966 307563245 313155304 313377295 320935560 327406035 333358872 335523540 341866140 345008510 353029116 353562440 357405510 358145480 369075894 372009176 373651215 374424820 376052754 376372920 388918684 391444130 393146061 398581260 411867302 414010212 416698590 427029960 430588543 436541380 441286395 449309784 458368449 465011470 469732956 476540680 486148355 492101192 498201620 501403672 507285240 517512765 523849656 524194748 530343660 537218220 548021782 555598120 558013764 561637230 583378026 587166195 588381860 591443160 597841944 611157932 615126490 617800953 626754590 654812070 655243435 671047080 676639139 683732280 690017020 697517205 706058232 714811020 738151788 747302430 748849640 752105508 763947415 777837368 782888260 786292122 797162520 822032673 823734604 828020424 833397180 861177086 873082760 882572790 916736898 922689735 930022940 939465912 940131885 972296710 996403240 1029668255 1035025530 1048389496 1060687320 1069526381 1074436440 1096043564 1116027528 1123274460 1166756052 1174332390 1176763720 1222315864 1230252980 1235601906 1253509180 1291765629 1309624140 1310486870 1353278278 1370054455 1380034040 1395034410 1429622040 1441535557 1458445065 1476303576 1494604860 1504211016 1527894830 1565776520 1572584244 1644065346 1647469208 1666794360 1722354172 1765145580 1833473796 1845379470 1860045880 1880263770 1944593420 1965730305 2029917417 2059336510 2070051060 2139052762 2152942715 2192087128 2246548920 2291842245 2333512104 2348664780 2460505960 2471203812 2507018360 2583531258 2619248280 2620973740 2706556556 2740108910 2790068820 2883071114 2916890130 2989209720 3014119801 3055789660 3089004765 3145168488 3208579143 3288130692 3383195695 3444708344 3530291160 3666947592 3690758940 3760527540 3889186840 3931460610 4059834834 4110163365 4118673020 4140102120 4278105524 4305885430 4324606671 4583684490 4697329560 4736473973 4942407624 5167062516 5241947480 5347631905 5413113112 5480217820 5580137640 5766142228 5833780260 6028239602 6111579320 6178009530 6417158286 6458828145 6576261384 6766391390 7207677785 7381517880 7521055080 7862921220 8119669668 8220326730 8237346040 8556211048 8611770860 8649213342 9042359403 9167368980 9472947946 10149587085 10334125032 10695263810 10960435640 11532284456 11667560520 12056479204 12356019060 12834316572 12917656290 13532782780 14209421919 14415355570 15070599005 15725842440 16042895715 16239339336 16440653460 17223541720 17298426684 18084718806 18334737960 18945895892 20299174170 21390527620 21623033355 23682369865 24112958408 24712038120 25668633144 25835312580 27065565560 28418843838 28830711140 30141198010 32085791430 32881306920 33155317811 34596853368 36169437612 37891791784 40598348340 42781055240 43246066710 45211797015 47364739730 51670625160 56837687676 57661422280 60282396020 64171582860 66310635622 71047109595 72338875224 81196696680 86492133420 90423594030 94729479460 99465953433 113675375352 120564792040 128343165720 132621271244 142094219190 165776589055 172984266840 180847188060 189458958920 198931906866 265242542488 284188438380 331553178110 361694376120 397863813732 497329767165 568376876760 663106356220 795727627464 994659534330 1326212712440 1989319068660 3978638137320
- Sum of all divisors σ(n): 16496538045120
- Sum of proper divisors (its aliquot sum) s(n): 12517899907800
- 3978638137320 is an abundant number, because the sum of its proper divisors (12517899907800) is greater than itself. Its abundance is 8539261770480
Bases of 3978638137320
- Binary: 1110011110010110010101000000010111111010002
- Hexadecimal: 0x39E595017E8
- Base-36: 1ERREF6CO
Squares and roots of 3978638137320
- 3978638137320 squared (39786381373202) is 15829561427737159176782400
- 3978638137320 cubed (39786381373203) is 62980096793444690769661872526959168000
-
The
square root of 3978638137320 is 1994652.3850836767 -
The
cube root of 3978638137320 is 15845.7018631713
Scales and comparisons
How big is 3978638137320?- 3,978,638,137,320 seconds is equal to 126,508 years, 20 weeks, 12 hours, 22 minutes.
-
To count from 1 to 3,978,638,137,320 would take you about three hundred sixteen thousand, two hundred seventy 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 3978638137320 cubic inches would be around 1320.5 feet tall.
Recreational maths with 3978638137320
- 3978638137320 backwards is 0237318368793
- 3978638137320 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3978638137320's digits is 60
- More coming soon!
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MLA style:
"Number 3978638137320 - Facts about the integer". Numbermatics.com. 2024. Web. 13 November 2024.
APA style:
Numbermatics. (2024). Number 3978638137320 - Facts about the integer. Retrieved 13 November 2024, from https://numbermatics.com/n/3978638137320/
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Numbermatics. 2024. "Number 3978638137320 - Facts about the integer". https://numbermatics.com/n/3978638137320/
The information we have on file for 3978638137320 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 3978638137320, math, Factors of 3978638137320, curriculum, school, college, exams, university, Prime factorization of 3978638137320, STEM, science, technology, engineering, physics, economics, calculator, three trillion, nine hundred seventy-eight billion, six hundred thirty-eight million, one hundred thirty-seven thousand, three hundred twenty.