2137744418040
2,137,744,418,040 is an even composite number composed of eight prime numbers multiplied together.
2137744418040 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 2137744418040:
23 × 32 × 5 × 7 × 112 × 232 × 29 × 457
(2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 11 × 23 × 23 × 29 × 457)See below for interesting mathematical facts about the number 2137744418040 from the Numbermatics database.
Names of 2137744418040
- Cardinal: 2137744418040 can be written as Two trillion, one hundred thirty-seven billion, seven hundred forty-four million, four hundred eighteen thousand and forty.
Scientific notation
- Scientific notation: 2.13774441804 × 1012
Factors of 2137744418040
Divisors of 2137744418040
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 18 20 21 22 23 24 28 29 30 33 35 36 40 42 44 45 46 55 56 58 60 63 66 69 70 72 77 84 87 88 90 92 99 105 110 115 116 120 121 126 132 138 140 145 154 161 165 168 174 180 184 198 203 207 210 220 230 231 232 242 252 253 261 264 276 280 290 308 315 319 322 330 345 348 360 363 385 396 406 414 420 435 440 457 460 462 483 484 495 504 506 522 529 552 580 605 609 616 630 638 644 660 667 690 693 696 726 759 770 792 805 812 828 840 847 870 914 920 924 957 966 968 990 1012 1015 1035 1044 1058 1089 1155 1160 1210 1218 1260 1265 1276 1288 1305 1320 1334 1371 1380 1386 1449 1452 1518 1540 1587 1595 1610 1624 1656 1694 1740 1771 1815 1827 1828 1848 1914 1932 1980 2001 2024 2030 2070 2088 2116 2178 2233 2277 2285 2310 2415 2420 2436 2520 2530 2541 2552 2610 2645 2668 2742 2760 2772 2783 2871 2898 2904 3036 3045 3080 3174 3190 3199 3220 3335 3388 3465 3480 3509 3542 3630 3654 3656 3703 3795 3828 3864 3960 4002 4060 4113 4140 4232 4235 4356 4466 4554 4570 4620 4669 4761 4785 4830 4840 4872 5027 5060 5082 5220 5290 5313 5336 5445 5484 5544 5566 5742 5796 5819 6003 6072 6090 6348 6380 6398 6440 6670 6699 6776 6855 6930 7018 7084 7245 7260 7308 7337 7406 7590 7623 7656 7935 8004 8120 8226 8280 8349 8470 8712 8855 8932 9108 9135 9140 9240 9338 9522 9570 9597 9660 10005 10054 10120 10164 10440 10511 10527 10580 10626 10890 10968 11109 11132 11165 11385 11484 11592 11638 12006 12180 12696 12705 12760 12796 13253 13340 13398 13710 13860 13915 14007 14036 14168 14355 14490 14520 14616 14674 14812 15081 15180 15246 15341 15870 15939 15995 16008 16452 16698 16940 17457 17545 17710 17864 18216 18270 18280 18515 18676 19044 19140 19194 19320 19481 20010 20097 20108 20328 20565 21022 21054 21160 21252 21780 22011 22218 22264 22330 22770 22968 23276 23345 23805 24012 24360 24563 25047 25135 25410 25592 26506 26565 26680 26796 27420 27720 27830 28014 28072 28710 28791 28980 29095 29348 29624 30015 30162 30360 30492 30682 31533 31581 31740 31878 31990 32904 33327 33396 33495 33880 34914 35090 35189 35420 36540 36685 37030 37352 38088 38115 38280 38388 38962 39759 40020 40194 40216 40733 41130 41745 42021 42044 42108 42504 43560 44022 44436 44660 45243 45540 46023 46552 46690 47610 47985 48024 49126 50094 50270 50820 51359 52371 52555 52635 53012 53130 53592 54840 55297 55545 55660 56028 57420 57582 57960 58190 58443 58696 60030 60324 60984 61364 63066 63162 63480 63756 63980 64009 66033 66265 66654 66792 66990 69828 70035 70180 70378 70840 73080 73370 73577 73689 74060 75405 76230 76705 76776 77924 79518 79695 80040 80388 80707 81466 82260 83490 84042 84088 84216 87285 88044 88872 89320 90486 91080 92046 92771 93380 94599 95220 95970 97405 98252 100188 100485 100540 101640 102718 104742 105110 105270 105567 106024 106260 107387 110055 110594 111090 111320 112056 114840 115164 115621 116380 116886 119277 120060 120648 122199 122728 122815 125235 126132 126324 127512 127960 128018 132066 132530 133308 133980 138069 139656 140070 140360 140756 143955 145783 146740 147154 147378 148120 150810 152460 153410 154077 155848 157665 157905 159036 159390 160776 161414 162932 164520 165891 166635 166980 168084 168751 174570 175329 175945 176088 180972 184092 185542 186760 189198 190440 191940 192027 194810 196504 198795 200376 200970 201080 203665 205436 209484 210105 210220 210540 211134 212520 214774 220110 220731 221067 221188 222180 226215 230115 230328 231242 232760 233772 238554 240120 241753 242121 244398 245630 250470 252264 252648 256036 256795 261855 264132 265060 266616 267960 276138 276485 278313 280140 281512 287910 291566 292215 293480 294308 294756 301620 304819 304920 306820 308154 315330 315810 316701 318072 318780 320045 322161 322828 325864 330165 331782 333270 333960 336168 337502 346863 349140 350658 351890 361944 366597 367885 368184 368445 371084 378396 383880 384054 387079 389620 397590 401940 403535 407330 410872 418968 420210 420440 421080 422268 429548 437349 440220 441462 442134 442376 444360 448063 452430 460230 462231 462484 463855 467544 472995 477108 483506 484242 488796 491260 497673 500940 506253 512072 513590 523710 527835 528264 530120 536935 552276 552970 556626 560280 564949 575820 576081 578105 583132 584430 588616 589512 596385 603240 609638 610995 613640 616308 630660 631620 633402 637560 640090 644322 645656 660330 662193 663564 666540 675004 690345 693726 698280 701316 703780 725259 726363 728915 733194 735770 736890 742168 756792 768108 770385 774158 779240 795180 803880 807070 809347 814660 829455 834939 840420 843755 844536 859096 874698 876645 880440 882924 884268 896126 904860 914457 920460 924462 924968 927710 945990 954216 960135 966483 967012 968484 977592 982520 995346 1001880 1012506 1020481 1027180 1040589 1047420 1055670 1073870 1103655 1104552 1105335 1105940 1113252 1129898 1151640 1152162 1156210 1161237 1166264 1168860 1181257 1192770 1208765 1210605 1219276 1221990 1232616 1261320 1263240 1266804 1271831 1280180 1288644 1312047 1320660 1324386 1327128 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25436620 25604796 25987654 26240940 26487720 26592830 26708451 26824072 26883780 27433710 27843915 27869688 28043348 28350168 28865034 29010360 29054520 29136492 29252113 30177081 30375180 30460878 30523944 30614430 31911396 32005995 32072260 32260536 32373880 33397560 33412698 33530090 33675873 33845420 33896940 34837110 35054185 35437710 35611268 36420615 36578280 36737316 36883099 37125220 37229962 38154930 38407194 38486712 38659320 38981481 39889245 40236108 40325670 40614504 40676328 40819240 41623560 42065022 42525252 42674660 43515540 44514085 44550264 44901164 45785916 45921645 46449480 46942126 47250280 47867094 48108390 48560820 49075859 50295135 50768130 50845410 50873240 51209592 51975308 52481880 53156565 53185660 53416902 53767560 54867420 55687830 55844943 56086696 56126455 57232395 57730068 58272984 58504226 60354162 60750360 60921756 61228860 63097533 63822792 64011990 64144520 64969135 66825396 67060180 67351746 67690840 67793880 69674220 70108370 70413189 70875420 71222536 72162585 72841230 73474632 73766198 74250440 74459924 76152195 76309860 76814388 77119207 77962962 79778490 80125353 80472216 80651340 83531745 84130044 85050504 85349320 87031080 87756339 89028170 89802328 91571832 91843290 93074905 93884252 95734188 96017985 96216780 97121640 98151718 100590270 101027619 101536260 101690820 103950616 105162555 106313130 106371320 106833804 109734840 110649297 111375660 111689886 112252910 114464790 115460136 116944443 117008452 117355315 119667735 120708324 121843512 122457720 126195066 128023980 129938270 133542255 133650792 134120360 134703492 139348440 140216740 140826378 141750840 144325170 145682460 146260565 147227577 147532396 148919848 150885405 152304390 152619720 153628776 154238414 155925924 159556980 160250706 161302680 167063490 167534829 168260088 168379365 175512678 178056340 183686580 184415495 186149810 187768504 191468376 192035970 192433560 194907405 196303436 201180540 202055238 203072520 203381640 204764791 210325110 211239567 212626260 213667608 221298594 222751320 223379772 224505820 228929580 231357621 233888886 234016904 234710630 239335470 241416648 245379295 252390132 256047960 258181693 259876540 263269017 267084510 269406984 279224715 280433480 281652756 288650340 291364920 292521130 294455154 295064792 301770810 304608780 308476828 311851848 315487665 319113960 320501412 331947891 334126980 335069658 336758730 351025356 352065945 356112680 367373160 368830990 372299620 384071940 385596035 389814810 392606872 400626765 402361080 404110476 409529582 420650220 422479134 425252520 438781695 441682731 442597188 446759544 449011640 457859160 462715242 467777772 469421260 478670940 490758590 504780264 505138095 516363386 519753080 526538034 534169020 539834449 553246485 558449430 563305512 577300680 584722215 585042260 588910308 603541620 609217560 614294373 616953656 630975330 641002824 663895782 668253960 670139316 673517460 694072863 702050712 704131890 736137885 737661980 744599240 768143880 771192070 774545079 779629620 801253530 808220952 819059164 837674145 841300440 844958268 848311277 877563390 883365462 885194376 925430484 935555544 938842520 957341880 981517180 1010276190 1023823955 1032726772 1053076068 1056197835 1068338040 1079668898 1106492970 1116898860 1156788105 1169444430 1170084520 1177820616 1207083240 1228588746 1261950660 1290908465 1316345085 1327791564 1340278632 1347034920 1388145726 1408263780 1472275770 1475323960 1542384140 1549090158 1559259240 1602507060 1619503347 1638118328 1659739455 1675348290 1689916536 1696622554 1755126780 1766730924 1842883119 1850860968 1963034360 2020552380 2047647910 2065453544 2106152136 2112395670 2159337796 2208413655 2212985940 2233797720 2313576210 2323635237 2338888860 2457177492 2523901320 2544933831 2581816930 2632690170 2655583128 2699172245 2776291452 2816527560 2944551540 3071471865 3084768280 3098180316 3205014120 3239006694 3319478910 3350696580 3393245108 3470364315 3510253560 3533461848 3685766238 3872725395 4041104760 4095295820 4224791340 4241556385 4318675592 4416827310 4425971880 4627152420 4647270474 4677777720 4858510041 4914354984 5089867662 5163633860 5265380340 5398344490 5552582904 5889103080 5938178939 6142943730 6196360632 6478013388 6638957820 6701393160 6786490216 6940728630 7371532476 7634801493 7745450790 8097516735 8190591640 8449582680 8483112770 8833654620 9214415595 9254304840 9294540948 9717020082 10179735324 10327267720 10530760680 10796688980 11618176185 11876357878 12285887460 12724669155 12956026776 13277915640 13881457260 14743064952 15269602986 15490901580 16195033470 16966225540 17667309240 17814536817 18428831190 18589081896 19434040164 20359470648 21593377960 23236352370 23752715756 24292550205 24571774920 25449338310 27762914520 29690894695 30539205972 30981803160 32390066940 33932451080 35629073634 36857662380 38174007465 38868080328 46472704740 47505431512 48585100410 50898676620 53443610451 59381789390 61078411944 64780133880 71258147268 73715324760 76348014930 89072684085 92945409480 97170200820 101797353240 106887220902 118763578780 142516294536 152696029860 178145368170 194340401640 213774441804 237527157560 267218052255 305392059720 356290736340 427548883608 534436104510 712581472680 1068872209020 2137744418040
- Sum of all divisors σ(n): 9458872113600
- Sum of proper divisors (its aliquot sum) s(n): 7321127695560
- 2137744418040 is an abundant number, because the sum of its proper divisors (7321127695560) is greater than itself. Its abundance is 5183383277520
Bases of 2137744418040
- Binary: 111110001101110110111111100100100111110002
- Hexadecimal: 0x1F1BB7F24F8
- Base-36: RA2DTXQ0
Squares and roots of 2137744418040
- 2137744418040 squared (21377444180402) is 4569951196861178277441600
- 2137744418040 cubed (21377444180403) is 9769387661805201031378082852086464000
-
The
square root of 2137744418040 is 1462102.7385378909 -
The
cube root of 2137744418040 is 12882.0583020057
Scales and comparisons
How big is 2137744418040?- 2,137,744,418,040 seconds is equal to 67,973 years, 34 weeks, 2 days, 5 hours, 54 minutes.
-
To count from 1 to 2,137,744,418,040 would take you about one hundred sixty-nine thousand, nine hundred thirty-four 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 2137744418040 cubic inches would be around 1073.5 feet tall.
Recreational maths with 2137744418040
- 2137744418040 backwards is 0408144477312
- 2137744418040 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2137744418040's digits is 45
- More coming soon!
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"Number 2137744418040 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 2137744418040 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/2137744418040/
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The information we have on file for 2137744418040 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 2137744418040, math, Factors of 2137744418040, curriculum, school, college, exams, university, Prime factorization of 2137744418040, STEM, science, technology, engineering, physics, economics, calculator, two trillion, one hundred thirty-seven billion, seven hundred forty-four million, four hundred eighteen thousand and forty.