42968006681600
42,968,006,681,600 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42968006681600 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2112 divisors.
42968006681600 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 42968006681600:
210 × 52 × 7 × 11 × 13 × 17 × 53 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 13 × 17 × 53 × 1861)See below for interesting mathematical facts about the number 42968006681600 from the Numbermatics database.
Names of 42968006681600
- Cardinal: 42968006681600 can be written as Forty-two trillion, nine hundred sixty-eight billion, six million, six hundred eighty-one thousand, six hundred.
Scientific notation
- Scientific notation: 4.29680066816 × 1013
Factors of 42968006681600
Divisors of 42968006681600
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 17 20 22 25 26 28 32 34 35 40 44 50 52 53 55 56 64 65 68 70 77 80 85 88 91 100 104 106 110 112 119 128 130 136 140 143 154 160 170 175 176 182 187 200 208 212 220 221 224 238 256 260 265 272 275 280 286 308 320 325 340 350 352 364 371 374 385 400 416 424 425 440 442 448 455 476 512 520 530 544 550 560 572 583 595 616 640 650 680 689 700 704 715 728 742 748 770 800 832 848 850 880 884 896 901 910 935 952 1001 1024 1040 1060 1088 1100 1105 1120 1144 1166 1190 1232 1280 1300 1309 1325 1360 1378 1400 1408 1430 1456 1484 1496 1540 1547 1600 1664 1696 1700 1760 1768 1792 1802 1820 1855 1861 1870 1904 1925 2002 2080 2120 2176 2200 2210 2240 2275 2288 2332 2380 2431 2464 2560 2600 2618 2650 2720 2756 2800 2816 2860 2912 2915 2968 2975 2992 3080 3094 3200 3328 3392 3400 3445 3520 3536 3575 3584 3604 3640 3710 3722 3740 3808 3850 4004 4081 4160 4240 4352 4400 4420 4480 4505 4550 4576 4664 4675 4760 4823 4862 4928 5005 5120 5200 5236 5300 5440 5512 5525 5600 5632 5720 5824 5830 5936 5950 5984 6160 6188 6307 6400 6545 6656 6784 6800 6890 7040 7072 7150 7168 7208 7280 7420 7444 7480 7579 7616 7700 7735 8008 8162 8320 8480 8704 8800 8840 8960 9010 9100 9152 9275 9305 9328 9350 9520 9646 9724 9856 9911 10010 10400 10472 10600 10880 11024 11050 11200 11264 11440 11648 11660 11713 11872 11900 11968 12155 12320 12376 12614 12800 13027 13090 13312 13568 13600 13780 14080 14144 14300 14416 14560 14575 14840 14888 14960 15158 15232 15400 15470 16016 16324 16640 16960 17017 17225 17408 17600 17680 17920 18020 18200 18304 18550 18610 18656 18700 19040 19292 19448 19712 19822 20020 20405 20471 20800 20944 21200 21760 22048 22100 22400 22525 22880 23296 23320 23426 23744 23800 23936 24115 24193 24310 24640 24752 25025 25228 25600 26054 26180 27136 27200 27560 28160 28288 28600 28832 29120 29150 29680 29776 29920 30316 30464 30800 30940 31535 31637 32032 32648 32725 33280 33920 34034 34450 35200 35360 35840 36040 36400 36608 37100 37220 37312 37400 37895 38080 38584 38675 38896 39424 39644 40040 40810 40942 41600 41888 42400 43520 44096 44200 44800 45050 45760 46525 46592 46640 46852 47488 47600 47872 48230 48386 48620 49280 49504 49555 50050 50456 52108 52360 53053 54272 54400 55120 56320 56576 57200 57664 58240 58300 58565 59360 59552 59840 60632 60775 60928 61600 61880 63070 63274 64064 65135 65296 65450 66560 67840 68068 68900 69377 70400 70720 72080 72800 73216 74200 74440 74624 74800 75790 76160 77168 77350 77792 78848 79288 80080 81620 81884 81991 83200 83776 84800 85085 87040 88192 88400 89600 90100 91520 93050 93184 93280 93704 94976 95200 95744 96460 96772 97240 98560 98633 99008 99110 100100 100912 102025 102355 104216 104720 106106 108800 110240 113152 114400 115328 116480 116600 117130 118720 119104 119680 120575 120965 121264 121550 121856 123200 123760 126140 126548 128128 128843 130270 130592 130900 135680 136136 137800 138754 140800 141440 143297 144160 145600 146432 148400 148880 149248 149600 151580 152320 154336 154700 155584 157675 158185 158576 160160 163240 163768 163982 166400 167552 169351 169600 170170 176384 176800 179200 180200 183040 186100 186560 187408 189475 189952 190400 191488 192920 193544 194480 197120 197266 198016 198220 200200 201824 204050 204710 208432 209440 212212 217600 220480 221459 226304 228800 230656 232960 233200 234260 237440 238208 239360 241150 241930 242528 243100 246400 247520 247775 252280 253096 256256 257686 260540 261184 261800 265265 266123 271360 272272 275600 277508 281600 282880 286594 288320 291200 292825 296800 297760 298496 299200 303160 304640 308672 309400 311168 315350 316370 317152 320320 325675 326480 327536 327964 332800 335104 338702 339200 340340 346885 348007 352768 353600 360400 366080 372200 373120 374816 378950 379904 380800 385840 387088 388960 394240 394532 396032 396440 400400 403648 408100 409420 409955 411281 416864 418880 424424 425425 435200 440960 442918 457600 461312 465920 466400 468520 474880 476416 478720 482300 483860 485056 486200 492800 493165 495040 495550 504560 506192 511775 512512 515372 521080 522368 523600 530530 532246 544544 551200 555016 565760 573188 576640 582400 585650 593600 595520 596992 598400 604825 606320 609280 617344 618800 622336 630700 632740 634304 640640 644215 651350 652960 655072 655928 670208 677404 678400 680680 690431 693770 696014 705536 707200 716485 720800 732160 744400 746240 749632 757900 761600 771680 774176 777920 789064 790925 792064 792880 800800 807296 816200 818840 819910 822562 833728 837760 846755 848848 850850 881920 885836 901901 915200 922624 932800 937040 949760 952832 957440 964600 967720 970112 972400 985600 986330 990080 991100 1009120 1012384 1023550 1025024 1030744 1042160 1044736 1047200 1061060 1064492 1084963 1089088 1102400 1107295 1110032 1131520 1146376 1153280 1164800 1171300 1187200 1191040 1196800 1209650 1212640 1234688 1237600 1244672 1261400 1265480 1268608 1281280 1282229 1288430 1302700 1305920 1310144 1311856 1326325 1330615 1340416 1354808 1356800 1361360 1380862 1387540 1392028 1414400 1432970 1441600 1488800 1492480 1499264 1515800 1523200 1543360 1548352 1555840 1578128 1581850 1584128 1585760 1601600 1614592 1632400 1637680 1639820 1645124 1667456 1675520 1676761 1693510 1697696 1701700 1734425 1740035 1763840 1771672 1803802 1830400 1862861 1865600 1874080 1899520 1905664 1929200 1935440 1940224 1944800 1971200 1972660 1980160 1982200 2018240 2024768 2047100 2049775 2056405 2061488 2084320 2089472 2094400 2122120 2128984 2169926 2178176 2204800 2214590 2220064 2292752 2306560 2329600 2342600 2374400 2382080 2393600 2419300 2425280 2436049 2465825 2469376 2475200 2489344 2522800 2530960 2537216 2562560 2564458 2576860 2605400 2611840 2620288 2623712 2652650 2661230 2709616 2722720 2761724 2775080 2784056 2828800 2865940 2878967 2883200 2977600 2984960 2998528 3031600 3046400 3086720 3096704 3111680 3156256 3163700 3171520 3203200 3221075 3229184 3264800 3275360 3279640 3290248 3334912 3351040 3353522 3387020 3395392 3403400 3452155 3468850 3480070 3527680 3543344 3582425 3607604 3660800 3725722 3731200 3748160 3858400 3870880 3880448 3889600 3945320 3960320 3964400 4036480 4049536 4094200 4099550 4112810 4122976 4168640 4178944 4188800 4233775 4244240 4257968 4339852 4356352 4409600 4429180 4440128 4509505 4524091 4585504 4613120 4685200 4748800 4764160 4787200 4838600 4850560 4872098 4931650 4938752 4950400 5045600 5061920 5074432 5125120 5128916 5153720 5210800 5223680 5240576 5247424 5305300 5322460 5419232 5424815 5445440 5523448 5536475 5550160 5568112 5657600 5731880 5757934 5766400 5955200 5997056 6063200 6173440 6193408 6223360 6312512 6327400 6343040 6406400 6411145 6442150 6458368 6529600 6550720 6559280 6580496 6653075 6669824 6702080 6707044 6774040 6790784 6806800 6904310 6937700 6960140 7086688 7164850 7215208 7451444 7462400 7496320 7594741 7716800 7741760 7760896 7779200 7890640 7920640 7928800 8072960 8099072 8188400 8199100 8225620 8245952 8337280 8377600 8383805 8467550 8488480 8515936 8679704 8700175 8712704 8819200 8858360 8880256 8975603 9019010 9048182 9171008 9314305 9370400 9497600 9528320 9677200 9701120 9744196 9863300 9900800 10091200 10123840 10148864 10257832 10282025 10307440 10421600 10447360 10481152 10494848 10610600 10644920 10838464 10849630 10890880 11046896 11072950 11100320 11136224 11463760 11515868 11532800 11737327 11910400 11994112 12126400 12180245 12346880 12386816 12446720 12625024 12654800 12686080 12812800 12822290 12884300 13059200 13101440 13118560 13160992 13306150 13339648 13414088 13548080 13581568 13613600 13808620 13875400 13920280 14104519 14173376 14329700 14394835 14430416 14902888 14924800 14992640 15189482 15433600 15483520 15558400 15781280 15857600 16145920 16198144 16376800 16398200 16451240 16491904 16674560 16755200 16767610 16935100 16976960 17031872 17260775 17359408 17400350 17425408 17638400 17716720 17760512 17951206 18038020 18096364 18342016 18444371 18628610 18740800 19354400 19402240 19488392 19726600 19801600 20182400 20247680 20515664 20564050 20614880 20843200 20894720 20962304 20989696 21221200 21289840 21676928 21699260 21781760 21797893 22093792 22145900 22200640 22272448 22547525 22620455 22927520 23031736 23065600 23474654 23820800 24252800 24360490 24693760 24773632 25250048 25309600 25372160 25625600 25644580 25768600 26118400 26202880 26237120 26321984 26612300 26828176 27096160 27124075 27163136 27227200 27617240 27750800 27840560 28209038 28346752 28659400 28789670 28860832 29805776 29985280 30378964 30867200 30967040 31116800 31562560 31668637 31715200 32055725 32291840 32396288 32753600 32796400 32902480 32983808 33349120 33510400 33535220 33870200 33953920 34063744 34521550 34718816 34800700 35433440 35521024 35902412 36076040 36192728 36684032 36888742 37257220 37481600 37973705 38708800 38804480 38976784 39453200 39603200 40364800 40495360 41031328 41128100 41229760 41686400 41919025 41979392 42442400 42579680 43353856 43398520 43563520 43595786 44187584 44291800 44401280 44544896 44878015 45095050 45240910 45855040 46063472 46571525 46949308 47641600 48505600 48720980 50500096 50619200 50744320 51289160 51537200 52236800 52405760 52474240 52643968 53224600 53656352 54192320 54248150 54326272 54454400 55234480 55501600 55681120 56418076 56693504 57318800 57579340 57721664 58686635 59611552 59970560 60757928 60901225 61734400 61934080 62233600 63125120 63337274 63430400 64111450 65507200 65592800 65804960 65967616 66698240 67070440 67740400 67907840 68127488 69043100 69437632 69601400 70522595 70866880 71042048 71804824 71974175 72152080 72385456 73368064 73777484 74514440 74963200 75947410 77417600 77953568 78906400 80729600 80990720 82062656 82256200 82459520 83372800 83838050 83958784 84884800 85159360 86707712 86797040 87127040 87191572 88375168 88583600 88802560 89089792 89756030 90190100 90481820 91710080 92126944 92221855 93143050 93898616 97011200 97441960 98731633 101000192 101238400 102578320 103074400 104473600 104811520 104948480 105287936 106449200 107312704 108384640 108496300 108908800 108989465 110468960 111003200 111362240 112836152 113102275 113387008 114637600 115158680 115443328 117373270 119223104 121515856 121802450 123468800 123868160 126250240 126674548 126860800 128222900 129110597 131014400 131185600 131609920 131935232 134140880 135480800 135815680 136254976 138086200 138875264 139202800 141045190 141733760 143609648 143948350 144304160 144770912 146736128 147554968 149028880 149926400 151894820 152585251 154835200 155907136 157812800 158343185 161459200 161981440 164125312 164512400 164919040 166745600 167676100 169769600 170318720 173415424 173594080 174383144 176750336 177167200 177605120 178179584 179512060 180380200 180963640 183420160 184253888 184443710 186286100 187797232 189868525 194022400 194883920 197463266 202476800 205156640 206148800 209896960 210575872 212898400 214625408 216769280 216992600 217817600 217978930 220937920 222006400 222724480 224390075 225672304 226204550 226774016 229275200 230317360 230886656 234746540 238446208 239776823 243031712 243604900 252500480 253349096 253721600 256445800 258221194 262028800 262371200 263219840 268281760 270961600 271631360 272509952 276172400 277750528 278405600 282090380 283467520 287219296 287896700 288608320 289541824 293433175 295109936 298057760 299852800 303789640 305170502 309670400 311814272 315625600 316686370 328250624 329024800 329838080 333491200 335352200 339539200 340637440 347188160 348766288 352612975 353500672 354334400 355210240 356359168 359024120 360760400 361927280 366840320 368507776 368887420 372572200 375594464 379737050 389767840 394926532 404953600 410313280 412297600 419793920 421151744 425796800 429250816 433538560 433985200 435635200 435957860 441875840 444012800 445448960 448780150 451344608 452409100 458550400 460634720 461109275 461773312 469493080 476892416 479553646 486063424 487209800 493658165 505000960 506698192 512891600 516442388 524057600 524742400 526439680 536563520 541923200 544947325 552344800 555501056 556811200 564180760 566935040 574438592 575793400 577216640 579083648 586866350 590219872 596115520 607579280 610341004 619340800 623628544 631251200 633372740 645552985 656501248 658049600 659676160 670704400 679078400 681274880 694376320 697532576 705225950 707001344 708668800 718048240 721520800 723854560 733680640 737015552 737774840 745144400 751188928 759474100 762926255 779535680 789853064 791715925 809907200 820626560 824595200 851593600 858501632 867077120 867970400 871915720 883751680 888025600 890897920 897560300 902689216 904818200 917100800 921269440 922218550 923546624 938986160 953784832 959107292 972126848 974419600 987316330 1013396384 1025783200 1032884776 1049484800 1052879360 1073127040 1083846400 1089894650 1104689600 1111002112 1113622400 1128361520 1133870080 1148877184 1151586800 1154433280 1158167296 1173732700 1180439744 1192231040 1198884115 1215158560 1220682008 1247257088 1262502400 1266745480 1291105970 1313002496 1316099200 1341408800 1358156800 1362549760 1388752640 1395065152 1410451900 1417337600 1436096480 1443041600 1447709120 1474031104 1475549680 1490288800 1502377856 1518948200 1525852510 1559071360 1579706128 1583431850 1641253120 1649190400 1678437761 1703187200 1717003264 1735940800 1743831440 1767503360 1776051200 1781795840 1795120600 1805378432 1809636400 1834201600 1842538880 1844437100 1877972320 1907569664 1918214584 1944253696 1948839200 1974632660 2026792768 2051566400 2065769552 2098969600 2105758720 2146254080 2167692800 2179789300 2209379200 2227244800 2256723040 2297754368 2303173600 2308866560 2316334592 2347465400 2360879488 2384462080 2397768230 2430317120 2441364016 2468290825 2494514176 2525004800 2533490960 2582211940 2632198400 2682817600 2777505280 2790130304 2820903800 2834675200 2872192960 2886083200 2895418240 2948062208 2951099360 2980577600 3004755712 3037896400 3051705020 3118142720 3159412256 3166863700 3227764925 3282506240 3298380800 3356875522 3406374400 3471881600 3487662880 3535006720 3590241200 3610756864 3619272800 3668403200 3685077760 3688874200 3755944640 3814631275 3836429168 3888507392 3897678400 3949265320 4053585536 4103132800 4131539104 4292508160 4335385600 4359578600 4418758400 4454489600 4513446080 4595508736 4606347200 4617733120 4632669184 4694930800 4721758976 4768924160 4795536460 4860634240 4882728032 4936581650 5066981920 5164423880 5264396800 5365635200 5555010560 5580260608 5641807600 5669350400 5744385920 5772166400 5790836480 5902198720 5961155200 5994420575 6009511424 6075792800 6103410040 6236285440 6318824512 6333727400 6455529850 6565012480 6713751044 6812748800 6943763200 6975325760 7180482400 7221513728 7238545600 7370155520 7377748400 7511889280 7629262550 7672858336 7777014784 7795356800 7898530640 8107171072 8206265600 8263078208 8392188805 8585016320 8719157200 8837516800 8908979200 9026892160 9191017472 9212694400 9389861600 9443517952 9537848320 9591072920 9721268480 9765456064 9873163300 10133963840 10328847760 10528793600 10731270400 11160521216 11283615200 11488771840 11544332800 11581672960 11804397440 11922310400 11988841150 12019022848 12151585600 12206820080 12472570880 12637649024 12667454800 12911059700 13427502088 13887526400 13950651520 14360964800 14443027456 14477091200 14740311040 14755496800 15023778560 15258525100 15345716672 15590713600 15797061280 16214342144 16412531200 16526156416 16784377610 17438314400 17675033600 18053784320 18425388800 18779723200 18887035904 19182145840 19442536960 19530912128 19746326600 20267927680 20657695520 21462540800 22321042432 22567230400 22977543680 23088665600 23163345920 23608794880 23844620800 23977682300 24303171200 24413640160 25275298048 25334909600 25822119400 26855004176 27775052800 27901303040 28721929600 28954182400 29510993600 30047557120 30517050200 30691433344 31181427200 31594122560 32428684288 32825062400 33052312832 33568755220 34876628800 36107568640 36850777600 37559446400 38364291680 38885073920 39061824256 39492653200 40535855360 41315391040 41960944025 42925081600 45134460800 45955087360 47217589760 47689241600 47955364600 48606342400 48827280320 50550596096 50669819200 51644238800 53710008352 55802606080 57443859200 57908364800 59021987200 60095114240 61034100400 61382866688 62362854400 63188245120 66104625664 67137510440 69753257600 72215137280 73701555200 75118892800 76728583360 78123648512 78985306400 81071710720 82630782080 83921888050 90268921600 94435179520 95910729200 97212684800 97654560640 101101192192 101339638400 103288477600 107420016704 111605212160 114887718400 115816729600 118043974400 122068200800 122765733376 126376490240 132209251328 134275020880 139506515200 150237785600 153457166720 156247297024 157970612800 162143421440 165261564160 167843776100 180537843200 191821458400 194425369600 195309121280 202679276800 206576955200 214840033408 229775436800 236087948800 244136401600 245531466752 252752980480 268550041760 279013030400 300475571200 306914333440 315941225600 330523128320 335687552200 361075686400 383642916800 390618242560 405358553600 413153910400 429680066816 472175897600 488272803200 505505960960 537100083520 558026060800 613828666880 631882451200 661046256640 671375104400 767285833600 781236485120 810717107200 826307820800 859360133632 976545606400 1074200167040 1227657333760 1263764902400 1342750208800 1534571667200 1652615641600 1718720267264 1953091212800 2148400334080 2527529804800 2685500417600 3069143334400 3305231283200 3906182425600 4296800668160 5371000835200 6138286668800 8593601336320 10742001670400 21484003340800 42968006681600
- Sum of all divisors σ(n): 154356437555712
- Sum of proper divisors (its aliquot sum) s(n): 111388430874112
- 42968006681600 is an abundant number, because the sum of its proper divisors (111388430874112) is greater than itself. Its abundance is 68420424192512
Bases of 42968006681600
- Binary: 10011100010100010001001100011001100100000000002
- Hexadecimal: 0x271444C66400
- Base-36: F8B89RZ7K
Squares and roots of 42968006681600
- 42968006681600 squared (429680066816002) is 1846249598190022243778560000
- 42968006681600 cubed (429680066816003) is 79329665070930191037129790110826496000000
-
The
square root of 42968006681600 is 6554998.6027153353 -
The
cube root of 42968006681600 is 35025.2896628261
Scales and comparisons
How big is 42968006681600?- 42,968,006,681,600 seconds is equal to 1,366,249 years, 36 weeks, 4 days, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 42,968,006,681,600 would take you about three million, four hundred fifteen thousand, six hundred twenty-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 42968006681600 cubic inches would be around 2918.8 feet tall.
Recreational maths with 42968006681600
- 42968006681600 backwards is 00618660086924
- 42968006681600 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42968006681600's digits is 56
- 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 42968006681600 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 42968006681600 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/42968006681600/
Chicago style:
Numbermatics. 2024. "Number 42968006681600 - Facts about the integer". https://numbermatics.com/n/42968006681600/
The information we have on file for 42968006681600 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 42968006681600, math, Factors of 42968006681600, curriculum, school, college, exams, university, Prime factorization of 42968006681600, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, nine hundred sixty-eight billion, six million, six hundred eighty-one thousand, six hundred.