2198313237120
2,198,313,237,120 is an even composite number composed of nine prime numbers multiplied together.
2198313237120 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 2198313237120:
27 × 3 × 5 × 7 × 11 × 13 × 17 × 61 × 1103
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 13 × 17 × 61 × 1103)See below for interesting mathematical facts about the number 2198313237120 from the Numbermatics database.
Names of 2198313237120
- Cardinal: 2198313237120 can be written as Two trillion, one hundred ninety-eight billion, three hundred thirteen million, two hundred thirty-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.19831323712 × 1012
Factors of 2198313237120
Divisors of 2198313237120
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 20 21 22 24 26 28 30 32 33 34 35 39 40 42 44 48 51 52 55 56 60 61 64 65 66 68 70 77 78 80 84 85 88 91 96 102 104 105 110 112 119 120 122 128 130 132 136 140 143 154 156 160 165 168 170 176 182 183 187 192 195 204 208 210 220 221 224 231 238 240 244 255 260 264 272 273 280 286 305 308 312 320 330 336 340 352 357 364 366 374 384 385 390 408 416 420 427 429 440 442 448 455 462 476 480 488 510 520 528 544 546 560 561 572 595 610 616 624 640 660 663 671 672 680 704 714 715 728 732 748 770 780 793 816 832 840 854 858 880 884 896 910 915 924 935 952 960 976 1001 1020 1037 1040 1056 1088 1092 1103 1105 1120 1122 1144 1155 1190 1220 1232 1248 1281 1309 1320 1326 1342 1344 1360 1365 1408 1428 1430 1456 1464 1496 1540 1547 1560 1586 1632 1664 1680 1708 1716 1760 1768 1785 1820 1830 1848 1870 1904 1920 1952 2002 2013 2040 2074 2080 2112 2135 2145 2176 2184 2206 2210 2240 2244 2288 2310 2379 2380 2431 2440 2464 2496 2562 2618 2640 2652 2684 2688 2720 2730 2805 2856 2860 2912 2928 2992 3003 3080 3094 3111 3120 3172 3264 3309 3315 3355 3360 3416 3432 3520 3536 3570 3640 3660 3696 3740 3808 3904 3927 3965 4004 4026 4080 4148 4160 4224 4270 4290 4368 4412 4420 4480 4488 4576 4620 4641 4697 4758 4760 4862 4880 4928 4992 5005 5124 5185 5236 5280 5304 5368 5440 5460 5515 5551 5610 5712 5720 5824 5856 5984 6006 6160 6188 6222 6240 6344 6405 6528 6545 6618 6630 6710 6720 6832 6864 7040 7072 7140 7259 7280 7293 7320 7392 7480 7616 7721 7735 7808 7854 7930 8008 8052 8160 8296 8320 8540 8580 8723 8736 8824 8840 8976 9152 9240 9282 9394 9516 9520 9724 9760 9856 10010 10065 10248 10370 10472 10560 10608 10736 10880 10920 11030 11102 11220 11407 11424 11440 11648 11712 11895 11968 12012 12133 12155 12320 12376 12444 12480 12688 12810 13090 13236 13260 13420 13440 13481 13664 13728 14091 14144 14280 14339 14518 14560 14586 14640 14784 14960 15015 15232 15442 15470 15555 15708 15860 16016 16104 16320 16545 16592 16653 17017 17080 17160 17446 17472 17648 17680 17952 18304 18480 18564 18751 18788 19032 19040 19448 19520 19635 20020 20130 20496 20740 20944 21120 21216 21472 21777 21840 22060 22204 22440 22814 22848 22880 23163 23205 23424 23485 23790 23936 24024 24266 24310 24640 24752 24888 24960 25376 25620 26169 26180 26472 26520 26840 26962 27328 27456 27755 28182 28288 28560 28678 29036 29120 29172 29280 29568 29920 30030 30884 30940 31110 31416 31720 32032 32208 32640 33090 33184 33306 34034 34160 34221 34320 34892 34944 35296 35360 35904 36295 36399 36465 36960 37128 37502 37576 38064 38080 38605 38896 39040 39270 40040 40260 40443 40992 41480 41888 42432 42944 43017 43554 43615 43680 44120 44408 44880 45628 45696 45760 46326 46410 46970 47580 48048 48532 48620 49280 49504 49776 50752 51051 51240 52338 52360 52944 53040 53680 53924 54656 54912 55510 56253 56364 57035 57120 57356 58072 58240 58344 58560 59840 60060 60665 61061 61768 61880 62220 62832 63440 64064 64416 66180 66368 66612 67283 67405 68068 68320 68442 68640 69784 70455 70592 70720 71695 71808 72590 72798 72930 73920 74256 75004 75152 76128 76160 77210 77792 78540 79849 80080 80520 80886 81984 82960 83265 83776 84864 84931 85085 85888 86034 87108 87230 87360 88240 88816 89760 91256 91520 92652 92820 93755 93940 94367 95160 96096 97064 97240 99008 99552 100373 101504 102102 102480 104676 104720 105888 106080 107360 107848 108885 111020 112506 112728 114070 114240 114712 115815 116144 116688 117120 119680 120120 121330 122122 123536 123760 124440 125664 126880 128128 128832 130845 131257 132360 132736 133224 134566 134810 136136 136640 136884 137280 139568 140910 141184 141440 143390 145180 145596 145860 147840 148291 148512 150008 150304 152256 154420 155584 157080 157729 159698 160160 161040 161772 163968 165920 166530 167552 169862 170170 171105 172068 174216 174460 174720 176480 177632 179520 181995 182512 183183 185304 185640 187510 187880 188734 190320 192192 194128 194480 198016 199104 200746 201849 202215 204204 204960 206261 209352 209440 211776 212160 214720 215085 215696 217770 222040 225012 225456 228140 228480 229424 231630 232288 233376 239547 240240 242660 243763 244244 247072 247520 248880 251328 253760 254793 255255 257664 261690 262514 264720 266448 269132 269620 272272 273280 273768 274560 279136 281265 281820 283101 286780 290360 291192 291720 296582 297024 300016 300608 301119 304512 305305 308840 311168 314160 315458 319396 320320 322080 323544 331840 333060 336415 339724 340340 342210 344136 348432 348920 352960 355264 359040 363990 365024 366366 370608 371280 375020 375760 377468 380640 384384 388256 388960 393771 398208 399245 401492 403698 404430 408408 409920 412522 418704 418880 423552 424320 424655 429440 430170 431392 435540 444080 444873 450024 450912 456280 458848 463260 464576 466752 470981 471835 473187 479094 480480 485320 487526 488488 494144 495040 497760 501865 502656 507520 509586 510510 523380 525028 529440 532896 538264 539240 544544 547536 558272 562530 563640 566202 573560 580720 582384 583440 593164 594048 600032 601216 602238 610610 617680 618783 628320 630916 638792 640640 644160 647088 656285 663680 666120 672830 679448 680680 684420 688272 696864 697840 705920 710528 727980 730048 731289 732732 740113 741216 741455 742560 750040 751520 754936 761280 776512 777920 787542 788645 798490 802984 807396 808860 816816 819840 825044 837408 837760 849310 860340 862784 871080 874679 888160 889746 900048 901824 912560 915915 917696 926520 929152 933504 941962 943670 946374 958188 960960 970640 975052 976976 988288 990080 995520 1003730 1009245 1019172 1021020 1031305 1038037 1046760 1050056 1058880 1065792 1076528 1078480 1089088 1095072 1104103 1116544 1125060 1127280 1132404 1143811 1147120 1161440 1164768 1166880 1186328 1197735 1200064 1204476 1218815 1221220 1235360 1237566 1256640 1261832 1273965 1277584 1288320 1294176 1312570 1332240 1345660 1358896 1361360 1368840 1376544 1393728 1395680 1412943 1415505 1443827 1455960 1460096 1462578 1465464 1480226 1482432 1482910 1485120 1500080 1503040 1505595 1509872 1522560 1553024 1555840 1575084 1577290 1596980 1605968 1614792 1617720 1633632 1650088 1674816 1698620 1706341 1720680 1725568 1742160 1749358 1776320 1779492 1800096 1803648 1825120 1831830 1835392 1853040 1883924 1887340 1892748 1916376 1921920 1941280 1950104 1953952 1968855 1991040 2007460 2018490 2038344 2042040 2062610 2076074 2093520 2100112 2117760 2131584 2153056 2156960 2178176 2190144 2208206 2220339 2224365 2250120 2254560 2264808 2287622 2294240 2322880 2329536 2333760 2354905 2365935 2372656 2395470 2400128 2408952 2437630 2442440 2470720 2475132 2513280 2523664 2547930 2555168 2588352 2624037 2625140 2664480 2681393 2691320 2717792 2722720 2737680 2753088 2787456 2791360 2825886 2831010 2887654 2911920 2925156 2930928 2960452 2964864 2965820 2970240 3000160 3006080 3011190 3019744 3093915 3114111 3150168 3154580 3193960 3211936 3229584 3235440 3267264 3300176 3312309 3349632 3397240 3412682 3431433 3441360 3484320 3498716 3552640 3558984 3600192 3650240 3656445 3663660 3700565 3706080 3767848 3774680 3785496 3832752 3882560 3900208 3907904 3937710 4014920 4036980 4076688 4084080 4125220 4152148 4187040 4200224 4306112 4313920 4331481 4373395 4380288 4416412 4440678 4448730 4500240 4509120 4529616 4575244 4588480 4645760 4659072 4667520 4709810 4731870 4745312 4790940 4817904 4875260 4884880 4941440 4950264 5047328 5095860 5110336 5119023 5176704 5180791 5190185 5248074 5250280 5328960 5362786 5382640 5435584 5445440 5475360 5506176 5520515 5582720 5651772 5662020 5719055 5775308 5823840 5850312 5861856 5920904 5931640 6000320 6022380 6039488 6122753 6187830 6228222 6300336 6309160 6387920 6423872 6459168 6470880 6534528 6600352 6624618 6794480 6825364 6862866 6882720 6968640 6997432 7064715 7117968 7200384 7219135 7300480 7312890 7327320 7401130 7412160 7535696 7549360 7570992 7665504 7765120 7800416 7815808 7875420 8006677 8029840 8044179 8073960 8153376 8168160 8250440 8304296 8374080 8400448 8531705 8612224 8627840 8662962 8746790 8832824 8881356 8897460 9000480 9018240 9059232 9150488 9176960 9419620 9463740 9490624 9581880 9621469 9635808 9750520 9769760 9900528 10094656 10191720 10220672 10238046 10361582 10380370 10496148 10500560 10657920 10725572 10765280 10871168 10890880 10950720 11041030 11101695 11303544 11324040 11438110 11550616 11647680 11700624 11723712 11841808 11863280 12000640 12044760 12078976 12245506 12375660 12456444 12581921 12600672 12618320 12775840 12847744 12918336 12941760 13120185 13200704 13249236 13406965 13588960 13650728 13725732 13765440 13937280 13994864 14129430 14235936 14438270 14625780 14654640 14802260 14824320 14869543 15071392 15098720 15141984 15331008 15542373 15570555 15600832 15750840 16013354 16059680 16088358 16147920 16306752 16336320 16500880 16561545 16608592 16748160 16800896 17063410 17157165 17325924 17493580 17665648 17762712 17794920 18000960 18118464 18300976 18368259 18769751 18839240 18927480 18981248 19163760 19242938 19271616 19501040 19539520 19801056 20189312 20383440 20476092 20723164 20760740 20992296 21001120 21451144 21530560 21657405 21901440 22082060 22203390 22607088 22648080 22876220 23101232 23295360 23401248 23447424 23683616 23726560 24020031 24089520 24491012 24751320 24912888 25163842 25201344 25236640 25551680 25595115 25836672 25883520 25903955 26240370 26401408 26498472 26813930 27177920 27301456 27451464 27530880 27989728 28258860 28471872 28864407 28876540 29251560 29309280 29604520 29739086 30142784 30197440 30283968 30613765 30662016 31084746 31141110 31201664 31501680 32026708 32119360 32176716 32295840 32613504 32672640 33001760 33123090 33217184 34126820 34314330 34651848 34987160 35331296 35525424 35589840 36001920 36236928 36601952 36736518 37539502 37678480 37745763 37854960 38327520 38485876 38543232 39002080 39079040 39602112 40033385 40220895 40766880 40952184 41446328 41521480 41984592 42002240 42902288 43061120 43314810 44164120 44406780 44608629 45214176 45296160 45752440 46202464 46802496 47367232 47453120 48040062 48107345 48179040 48982024 49502640 49825776 50327684 50402688 50473280 51103360 51190230 51807910 52480740 52996944 53627860 54355840 54602912 54902928 55979456 56309253 56517720 56943744 57728814 57753080 58503120 58618560 59209040 59478172 60285568 60394880 60567936 61227530 62169492 62282220 62909605 63003360 64053416 64238720 64353432 64591680 66003520 66246180 66434368 67350283 68253640 68628660 69303696 69974320 70662592 71050848 71179680 73203904 73473036 74347715 75079004 75356960 75491526 75709920 76655040 76971752 77711865 78004160 79204224 80066770 80441790 81533760 81904368 82892656 83042960 83969184 84004480 85804576 86629620 88073447 88328240 88813560 89217258 90428352 90592320 91504880 91841295 92404928 93604992 93848755 94734464 94906240 96080124 96214690 96358080 97964048 99005280 99651552 100655368 100946560 102380460 103615820 104086801 104961480 105993888 107255720 109205824 109805856 111958912 112618506 113035440 115457628 115506160 117006240 117237120 118418080 118956344 120100155 122455060 124338984 124564440 125819210 126006720 128106832 128706864 129183360 132007040 132492360 132868736 134700566 136507280 137257320 138607392 139948640 141325184 142101696 142359360 144322035 146407808 146946072 148695430 150158008 150713920 150983052 151419840 153310080 153943504 155423730 156008320 160133540 160883580 163067520 163564973 163808736 165785312 166085920 167938368 171609152 173259240 176146894 176656480 177627120 178434516 180856704 181184640 183009760 183682590 184809856 187697510 188728815 192160248 192429380 192716160 195928096 198010560 199303104 201310736 202050849 204760920 207231640 208173602 209922960 211987776 214511440 218411648 219611712 223043145 225237012 226070880 230915256 231012320 234012480 236836160 237912688 240200310 244910120 248677968 249128880 251638420 252013440 256213664 257413728 264220341 264984720 269401132 273014560 274514640 277214784 279897280 281546265 284203392 284718720 288644070 293892144 297390860 300316016 301427840 301966104 302839680 307887008 310847460 312260403 320267080 321767160 327129946 327617472 331570624 332171840 335876736 336751415 343218304 346518480 352293788 353312960 355254240 356869032 366019520 367365180 375395020 377457630 384320496 384858760 391856192 396021120 398606208 402621472 404101698 409521840 414463280 416347204 419845920 423975552 429022880 439223424 440367235 446086290 450474024 452141760 461830512 462024640 468024960 473672320 475825376 480400620 489820240 490694919 497355936 498257760 503276840 512427328 514827456 520434005 528440682 529969440 538802264 546029120 549029280 554429568 559794560 563092530 577288140 587784288 594781720 600632032 603932208 615774016 621694920 624520806 640534160 643534320 654259892 655234944 663141248 664343680 673502830 693036960 704587576 706625920 710508480 713738064 732039040 734730360 750790040 754915260 768640992 769717520 783712384 805242944 808203396 817824865 819043680 828926560 832694408 839691840 858045760 880734470 892172580 900948048 904283520 923661024 924049280 951650752 960801240 979640480 981389838 994711872 996515520 1006553680 1010254245 1024854656 1029654912 1040868010 1056881364 1059938880 1077604528 1092058240 1098058560 1126185060 1144954811 1154576280 1175568576 1189563440 1201264064 1207864416 1231548032 1243389840 1249041612 1281068320 1287068640 1308519784 1321101705 1347005660 1386073920 1409175152 1421016960 1427476128 1469460720 1501580080 1509830520 1537281984 1539435040 1561302015 1610485888 1616406792 1635649730 1638087360 1657853120 1665388816 1679383680 1716091520 1761468940 1784345160 1801896096 1847322048 1903301504 1921602480 1959280960 1962779676 1989423744 1993031040 2013107360 2020508490 2081736020 2113762728 2119877760 2155209056 2196117120 2252370120 2289909622 2309152560 2351137152 2379126880 2402528128 2415728832 2453474595 2486779680 2498083224 2562136640 2574137280 2617039568 2642203410 2694011320 2772147840 2818350304 2854952256 2938921440 3003160160 3019661040 3074563968 3078870080 3122604030 3232813584 3271299460 3276174720 3315706240 3330777632 3434864433 3522937880 3568690320 3603792192 3694644096 3843204960 3918561920 3925559352 4026214720 4041016980 4163472040 4227525456 4310418112 4504740240 4579819244 4618305120 4758253760 4831457664 4906949190 4973559360 4996166448 5124273280 5148274560 5234079136 5284406820 5388022640 5636700608 5709904512 5724774055 5877842880 6006320320 6039322080 6157740160 6245208060 6465627168 6542598920 6661555264 6869728866 7045875760 7137380640 7207584384 7686409920 7851118704 8052429440 8082033960 8326944080 8455050912 8620836224 9009480480 9159638488 9236610240 9516507520 9813898380 9947118720 9992332896 10468158272 10568813640 10776045280 11273401216 11449548110 11755685760 12012640640 12078644160 12490416120 12931254336 13085197840 13323110528 13739457732 14091751520 14274761280 15372819840 15702237408 16164067920 16653888160 16910101824 17174322165 18018960960 18319276976 18473220480 19627796760 19984665792 20936316544 21137627280 21552090560 22899096220 24157288320 24980832240 25862508672 26170395680 27478915464 28183503040 28549522560 31404474816 32328135840 33307776320 33820203648 34348644330 36037921920 36638553952 39255593520 39969331584 42275254560 43104181120 45798192440 49961664480 52340791360 54957830928 56367006080 62808949632 64656271680 66615552640 68697288660 73277107904 78511187040 84550509120 91596384880 99923328960 104681582720 109915661856 129312543360 137394577320 146554215808 157022374080 169101018240 183192769760 199846657920 219831323712 274789154640 314044748160 366385539520 439662647424 549578309280 732771079040 1099156618560 2198313237120
- Sum of all divisors σ(n): 10134071377920
- Sum of proper divisors (its aliquot sum) s(n): 7935758140800
- 2198313237120 is an abundant number, because the sum of its proper divisors (7935758140800) is greater than itself. Its abundance is 5737444903680
Bases of 2198313237120
- Binary: 111111111110101011010110111111010100000002
- Hexadecimal: 0x1FFD5ADFA80
- Base-36: S1W2XXMO
Squares and roots of 2198313237120
- 2198313237120 squared (21983132371202) is 4832581088497013345894400
- 2198313237120 cubed (21983132371203) is 10623526976298762603864960725680128000
-
The
square root of 2198313237120 is 1482670.9807371291 -
The
cube root of 2198313237120 is 13002.5896953615
Scales and comparisons
How big is 2198313237120?- 2,198,313,237,120 seconds is equal to 69,899 years, 29 weeks, 1 day, 5 hours, 52 minutes.
-
To count from 1 to 2,198,313,237,120 would take you about one hundred seventy-four thousand, seven hundred forty-eight 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 2198313237120 cubic inches would be around 1083.5 feet tall.
Recreational maths with 2198313237120
- 2198313237120 backwards is 0217323138912
- 2198313237120 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2198313237120's digits is 42
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 2198313237120 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
APA style:
Numbermatics. (2024). Number 2198313237120 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/2198313237120/
Chicago style:
Numbermatics. 2024. "Number 2198313237120 - Facts about the integer". https://numbermatics.com/n/2198313237120/
The information we have on file for 2198313237120 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 2198313237120, math, Factors of 2198313237120, curriculum, school, college, exams, university, Prime factorization of 2198313237120, STEM, science, technology, engineering, physics, economics, calculator, two trillion, one hundred ninety-eight billion, three hundred thirteen million, two hundred thirty-seven thousand, one hundred twenty.