42968608225920
42,968,608,225,920 is an even composite number composed of seven prime numbers multiplied together.
42968608225920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 42968608225920:
27 × 32 × 5 × 133 × 172 × 31 × 379
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 13 × 17 × 17 × 31 × 379)See below for interesting mathematical facts about the number 42968608225920 from the Numbermatics database.
Names of 42968608225920
- Cardinal: 42968608225920 can be written as Forty-two trillion, nine hundred sixty-eight billion, six hundred eight million, two hundred twenty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.296860822592 × 1013
Factors of 42968608225920
Divisors of 42968608225920
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 30 31 32 34 36 39 40 45 48 51 52 60 62 64 65 68 72 78 80 85 90 93 96 102 104 117 120 124 128 130 136 144 153 155 156 160 169 170 180 186 192 195 204 208 221 234 240 248 255 260 272 279 288 289 306 310 312 320 338 340 360 372 379 384 390 403 408 416 442 465 468 480 496 507 510 520 527 544 558 576 578 585 612 620 624 640 663 676 680 720 744 758 765 780 806 816 832 845 867 884 930 936 960 992 1014 1020 1040 1054 1088 1105 1116 1137 1152 1156 1170 1209 1224 1240 1248 1326 1352 1360 1395 1440 1445 1488 1516 1521 1530 1560 1581 1612 1632 1664 1690 1734 1768 1860 1872 1895 1920 1984 1989 2015 2028 2040 2080 2108 2176 2197 2210 2232 2274 2312 2340 2418 2448 2480 2496 2535 2601 2635 2652 2704 2720 2790 2873 2880 2890 2976 3032 3042 3060 3120 3162 3224 3264 3315 3380 3411 3468 3536 3627 3720 3744 3757 3790 3968 3978 4030 4056 4080 4160 4216 4335 4394 4420 4464 4548 4624 4680 4743 4836 4896 4927 4960 4992 5070 5202 5239 5270 5304 5408 5440 5580 5685 5746 5760 5780 5952 6045 6064 6084 6120 6240 6324 6443 6448 6528 6591 6630 6760 6822 6851 6936 7072 7254 7440 7488 7514 7580 7605 7905 7956 8060 8112 8160 8320 8432 8619 8670 8788 8840 8928 8959 9096 9248 9360 9486 9672 9792 9854 9920 9945 10140 10404 10478 10540 10608 10816 10880 10985 11160 11271 11370 11492 11560 11749 11904 12090 12128 12168 12240 12480 12648 12886 12896 13005 13182 13260 13520 13644 13702 13872 14144 14365 14508 14781 14880 14976 15028 15160 15210 15717 15810 15912 16120 16224 16320 16864 17055 17238 17340 17576 17680 17856 17918 18135 18192 18496 18720 18785 18972 19329 19344 19584 19708 19773 19840 19890 20280 20553 20808 20956 21080 21216 21632 21970 22320 22542 22740 22984 23120 23498 23715 24180 24256 24336 24480 24635 24960 25296 25772 25792 25857 26010 26195 26364 26520 26877 27040 27288 27404 27744 28288 28730 29016 29562 29760 30056 30320 30420 31434 31620 31824 32215 32240 32448 32640 32955 33728 33813 34110 34255 34476 34680 35152 35247 35360 35712 35836 36270 36384 36992 37349 37440 37570 37944 38658 38688 39416 39546 39780 40560 41106 41616 41912 42160 42432 43095 43940 44343 44640 44795 45084 45480 45968 46240 46996 47151 47430 48360 48512 48672 48841 48960 49270 50592 51544 51584 51714 52020 52390 52728 53040 53754 54080 54576 54808 55488 56355 57460 57987 58032 58745 59124 59520 60112 60640 60840 61659 62868 63240 63648 64051 64430 64480 64896 65910 67456 67626 68107 68220 68510 68952 69360 70304 70494 70720 71672 72540 72768 73905 74698 74880 75140 75888 77316 77376 78585 78832 79092 79560 80631 81120 82212 83232 83759 83824 84320 84864 86190 87880 88686 89063 89280 89590 90168 90960 91936 92480 93992 94302 94860 96645 96720 97344 97682 97920 98540 98865 101184 102765 103088 103428 104040 104780 105456 105741 106080 107508 108160 109152 109531 109616 110976 112047 112710 114920 115974 116064 116467 117490 118248 120224 121280 121680 123318 125736 126480 127296 128102 128860 128960 129285 131820 134385 135252 136214 136440 137020 137904 138720 140608 140988 141440 143344 145080 145536 146523 147810 149396 150280 151776 152737 154632 154752 157170 157664 158184 159120 161262 162240 164424 166464 167518 167648 168640 169065 172380 175760 176235 177372 178126 178560 179180 180336 181920 183872 184960 186745 187984 188604 189720 192153 193290 193440 194688 195364 197080 197730 199733 202368 204321 205530 206176 206856 208080 209560 210912 211482 212160 215016 218304 219062 219232 221715 224094 225420 229840 231948 232128 232934 234980 235755 236496 240448 242560 243360 244205 246636 251277 251472 252960 254592 256204 257720 257920 258570 263640 267189 268770 270504 272428 272880 274040 275808 277440 281216 281976 286688 289935 290160 293046 295620 298792 300560 303552 305474 308295 309264 314340 315328 316368 318240 320255 322524 324480 328593 328848 332928 335036 335296 336141 337280 338130 340535 344760 349401 351520 352470 354744 356252 358360 360672 363840 367744 373490 375968 377208 379440 384306 386580 386880 390728 394160 395460 399466 403155 408642 411060 412352 413712 416160 418795 419120 421824 422964 424320 430032 436608 438124 438464 439569 443430 445315 448188 450840 458211 459680 463896 464256 465868 469960 471510 472992 480896 486720 488410 493272 502554 502944 505920 512408 515440 517140 527280 528705 534378 537540 541008 544856 545760 547655 548080 551616 554880 560235 563952 573376 576459 579870 580320 582335 586092 591240 597584 599199 601120 607104 610948 612963 616590 618528 628680 630656 632736 634933 636480 640510 645048 657186 657696 670072 670592 672282 676260 681070 689520 698802 703040 704940 709488 712504 716720 721344 727680 732615 746980 751936 753831 754416 758880 763685 768612 773160 773760 781456 788320 790920 798932 801567 806310 817284 822120 824704 827424 832320 832663 837590 838240 843648 845928 860064 876248 876928 879138 886860 890630 896376 901680 916422 919360 927792 931736 939920 943020 945984 960765 973440 976820 985779 986544 998665 1005108 1005888 1011840 1021605 1024816 1030880 1034280 1048203 1054560 1057410 1068756 1075080 1082016 1088867 1089712 1091520 1095310 1096160 1103232 1120470 1127904 1146752 1152918 1157819 1159740 1160640 1164670 1172184 1182480 1195168 1198398 1202240 1221896 1225926 1233180 1237056 1256385 1257360 1265472 1269866 1272960 1281020 1290096 1314372 1315392 1335945 1340144 1344564 1352520 1362140 1374633 1379040 1397604 1406080 1409880 1418976 1423903 1425008 1433440 1442688 1465230 1493960 1503872 1507662 1508832 1514071 1517760 1527370 1537224 1546320 1562912 1576640 1581840 1597864 1603134 1612620 1634568 1642965 1644240 1654848 1664640 1665326 1675180 1676480 1680705 1691856 1720128 1747005 1752496 1758276 1773720 1781260 1792752 1797597 1803360 1832844 1838720 1855584 1863472 1879840 1886040 1891968 1904799 1921530 1953640 1971558 1973088 1985581 1997330 2010216 2011776 2043210 2049632 2061760 2068560 2096406 2109120 2114820 2137512 2150160 2164032 2177734 2179424 2183040 2190620 2192320 2197845 2240940 2255808 2291055 2305836 2315638 2319480 2321280 2329340 2344368 2364960 2390336 2396796 2404480 2443792 2451852 2466360 2474112 2497989 2512770 2514720 2530944 2539732 2562040 2580192 2596529 2628744 2630784 2671890 2680288 2689128 2705040 2724280 2749266 2758080 2795208 2819760 2837952 2847806 2850016 2866880 2882295 2930460 2987920 2995995 3015324 3017664 3028142 3035520 3054740 3064815 3074448 3092640 3125824 3153280 3163680 3174665 3195728 3206268 3225240 3266601 3269136 3285930 3288480 3309696 3330652 3350360 3352960 3361410 3383712 3395461 3440256 3473457 3494010 3504992 3516552 3547440 3562520 3585504 3595194 3606720 3665688 3711168 3726944 3759680 3769155 3772080 3809598 3843060 3907280 3943116 3946176 3971162 3994660 4007835 4020432 4086420 4099264 4123520 4137120 4163315 4192812 4218240 4229640 4271709 4275024 4300320 4328064 4355468 4358848 4381240 4384640 4395690 4481880 4511616 4542213 4582110 4611672 4631276 4638960 4658680 4688736 4729920 4780672 4793592 4887584 4903704 4928895 4932720 4995978 5025540 5029440 5079464 5124080 5160384 5193058 5241015 5257488 5343780 5360576 5378256 5410080 5444335 5448560 5498532 5516160 5590416 5639520 5675904 5695612 5700032 5714397 5733760 5764590 5789095 5860920 5956743 5975840 5991990 6030648 6035328 6056284 6109480 6129630 6148896 6185280 6251648 6327360 6349330 6391456 6412536 6450480 6533202 6538272 6571860 6576960 6661304 6700720 6722820 6767424 6790922 6873165 6946914 6988020 7009984 7033104 7094880 7119515 7125040 7171008 7190388 7213440 7331376 7422336 7453888 7493967 7519360 7538310 7544160 7570355 7619196 7686120 7789587 7814560 7886232 7892352 7942324 7989320 8015670 8040864 8172840 8198528 8274240 8326630 8385624 8459280 8543418 8550048 8600640 8710936 8717696 8762480 8791380 8963760 8987985 9084426 9164220 9223344 9262552 9277920 9317360 9377472 9459840 9523995 9587184 9775168 9799803 9807408 9857790 9865440 9927905 9991956 10051080 10058880 10158928 10186383 10248160 10320768 10386116 10420371 10482030 10514976 10687560 10721152 10756512 10820160 10888670 10897120 10997064 11180832 11279040 11391224 11400064 11428794 11529180 11578190 11721840 11913486 11951680 11983980 12061296 12112568 12218960 12259260 12297792 12370560 12489945 12654720 12698660 12782912 12815127 12825072 12900960 12982645 13066404 13076544 13143720 13153920 13322608 13401440 13445640 13534848 13581844 13626639 13746330 13893828 13976040 14019968 14066208 14155271 14189760 14239030 14250080 14342016 14380776 14662752 14907776 14987934 15076620 15088320 15140710 15238392 15372240 15579174 15629120 15772464 15884648 15978640 16031340 16081728 16333005 16345680 16548480 16653260 16771248 16918560 16977305 17086836 17100096 17201280 17367285 17421872 17524960 17582760 17870229 17927520 17975970 18168852 18328440 18446688 18510739 18525104 18555840 18634720 18754944 19047990 19174368 19550336 19599606 19614816 19682923 19715580 19730880 19855810 19983912 20102160 20317856 20372766 20496320 20772232 20840742 20964060 21029952 21358545 21375120 21513024 21640320 21777340 21794240 21994128 22361664 22558080 22711065 22782448 22857588 23058360 23156380 23368761 23443680 23826972 23903360 23967960 24122592 24225136 24437920 24518520 24595584 24979890 25397320 25565824 25630254 25650144 25801920 25812553 25965290 26132808 26153088 26287440 26645216 26802880 26891280 27163688 27253278 27492660 27787656 27952080 28132416 28310542 28379520 28478060 28500160 28571985 28761552 29325504 29783715 29975868 30153240 30176640 30281420 30476784 30559149 30744480 31158348 31258240 31544928 31769296 31957280 32062680 32163456 32666010 32691360 33306520 33542496 33754877 33837120 33954610 34173672 34200192 34734570 34843744 35049920 35165520 35740458 35855040 35951940 36337704 36656880 36893376 37021478 37050208 37111680 37269440 37469835 38095980 38348736 38947935 39199212 39229632 39365846 39431160 39461760 39711620 39967824 40204320 40635712 40745532 40992640 41544464 41681484 41928120 42059904 42465813 42717090 42750240 43026048 43554680 43588480 43988256 44140993 44723328 45422130 45564896 45715176 46116720 46312760 46737522 46887360 47653944 47935920 48245184 48450272 48875840 48999015 49037040 49959780 50794640 50931915 51260508 51300288 51603840 51625106 51930580 52101855 52265616 52574880 53290432 53605760 53782560 54327376 54506556 54985320 55532217 55575312 55904160 56264832 56621084 56956120 57000320 57143970 57523104 58651008 59048769 59567430 59951736 60306480 60562840 60953568 61118298 61488960 62316696 63089856 63538592 63914560 64075635 64125360 65332020 65382720 66613040 67084992 67509754 67674240 67909220 68133195 68347344 69469140 69687488 70099840 70331040 70776355 71480916 71710080 71903880 72675408 73313760 73786752 74042956 74100416 74538880 74939670 76191960 76697472 77437659 77895870 78398424 78459264 78731692 78862320 79423240 79935648 80408640 81271424 81491064 83088928 83362968 83856240 84931626 85434180 85500480 87109360 87976512 88281986 89351145 90844260 91129792 91430352 92233440 92553695 92625520 93475044 93774720 95307888 95871840 96490368 96900544 97751680 97998030 98074080 98414615 99919560 101264631 101589280 101863830 102521016 102600576 103250212 103861160 104203710 104531232 105149760 106580864 107565120 108654752 109013112 109970640 111064434 111150624 111808320 113242168 113912240 114287940 115046208 116843805 118097538 119134860 119903472 120612960 121125680 121907136 122236596 122977920 124633392 126179712 127077184 127397439 127829120 128151270 128250720 129062765 130664040 130765440 132422979 133226080 134169984 135019508 135818440 136266390 136694688 138938280 139374976 140662080 141552710 142961832 143807760 145350816 146627520 148085912 148200832 149879340 152383920 152795745 154875318 155791740 156796848 157463384 157724640 158846480 159871296 160817280 162982128 166177856 166596651 166725936 167712480 168774385 169863252 170868360 171000960 174218720 175953024 176563972 177146307 178702290 181688520 182259584 182860704 184466880 185107390 185251040 186950088 190615776 191743680 193801088 195996060 196148160 196829230 199839120 202529262 203178560 203727660 205042032 206500424 207722320 208407420 209062464 210299520 212329065 215130240 217309504 218026224 219941280 220704965 222128868 222301248 223616640 226484336 227824480 228575880 230092416 232312977 233687610 236195076 238269720 239806944 240639607 241225920 242251360 243814272 244473192 249266784 254154368 254794878 256302540 256501440 258125530 261328080 264845958 266452160 270039016 271636880 272532780 273389376 277661085 277876560 281324160 283105420 285923664 287615520 290701632 293255040 295243845 296171824 299758680 303793893 304767840 305591490 309750636 311583480 313593696 314926768 315449280 317692960 319742592 325964256 332355712 333193302 333451872 335424960 337548770 339726504 341736720 348437440 353127944 354292614 357404580 363377040 365721408 368933760 370214780 370502080 373900176 381231552 383487360 387188295 391992120 392296320 393658460 397268937 399678240 405058524 406357120 407455320 410084064 413000848 415444640 416814840 418124928 424658130 434619008 436052448 438813401 439882560 441409930 444257736 444602496 452968672 455648960 457151760 464625954 467375220 472390152 476539440 479613888 481279214 482451840 484502720 488946384 498533568 506323155 509589756 512605080 513002880 516251060 522656160 529691916 532904320 540078032 543273760 545065560 546778752 555322170 555753120 566210840 571847328 573832909 575231040 581403264 590487690 592343648 599517360 607587786 609535680 611182980 619501272 623166960 627187392 629853536 630898560 635385920 636987195 651928512 662114895 666386604 666903744 670849920 675097540 679453008 683473440 696874880 706255888 708585228 714809160 721918821 726754080 731442816 740429560 741004160 747800352 762463104 774376590 783984240 787316920 794537874 799356480 810117048 814910640 820168128 826001696 830889280 832983255 833629680 849316260 872104896 877626802 879765120 882819860 885731535 888515472 905937344 911297920 914303520 929251908 934750440 944780304 953078880 959227776 962558428 969005440 977892768 997067136 1012646310 1019179512 1025210160 1032502120 1045312320 1059383832 1080156064 1086547520 1090131120 1110644340 1111506240 1132421680 1143694656 1147665818 1150462080 1161564885 1180975380 1184687296 1199034720 1203198035 1215175572 1219071360 1222365960 1239002544 1246333920 1254374784 1259707072 1270771840 1273974390 1303857024 1316440203 1324229790 1332773208 1333807488 1350195080 1358906016 1366946880 1412511776 1417170456 1429618320 1443837642 1453508160 1480859120 1495600704 1518969465 1548753180 1567968480 1574633840 1589075748 1598712960 1620234096 1629821280 1640336256 1652003392 1661778560 1665966510 1667259360 1698632520 1721498727 1744209792 1755253604 1765639720 1771463070 1777030944 1811874688 1828607040 1858503816 1869500880 1889560608 1906157760 1925116856 1955785536 1986344685 2025292620 2038359024 2050420320 2065004240 2090624640 2118767664 2160312128 2165756463 2173095040 2180262240 2194067005 2221288680 2223012480 2264843360 2287389312 2295331636 2323129770 2361950760 2369374592 2398069440 2406396070 2430351144 2444731920 2478005088 2492667840 2519414144 2547948780 2632880406 2648459580 2665546416 2700390160 2717812032 2733893760 2825023552 2834340912 2859236640 2869164545 2887675284 2907016320 2961718240 2991201408 3037938930 3097506360 3135936960 3149267680 3178151496 3240468192 3259642560 3304006784 3331933020 3334518720 3397265040 3442997454 3510507208 3531279440 3542926140 3554061888 3609594105 3657214080 3717007632 3739001760 3779121216 3812315520 3850233712 3911571072 3949320609 3972689370 4050585240 4076718048 4100840640 4130008480 4237535328 4320624256 4331512926 4360524480 4388134010 4442577360 4529686720 4590663272 4646259540 4723901520 4796138880 4812792140 4860702288 4889463840 4956010176 4985335680 5095897560 5164496181 5265760812 5296919160 5331092832 5400780320 5435624064 5650047104 5668681824 5718473280 5738329090 5775350568 5923436480 6075877860 6195012720 6271873920 6298535360 6356302992 6480936384 6519285120 6582201015 6663866040 6669037440 6794530080 6885994908 7021014416 7062558880 7085852280 7108123776 7219188210 7434015264 7459827817 7478003520 7558242432 7700467424 7898641218 7945378740 8101170480 8153436096 8201681280 8260016960 8475070656 8607493635 8663025852 8721048960 8776268020 8885154720 9059373440 9181326544 9292519080 9447803040 9625584280 9721404576 9778927680 9912020352 10191795120 10328992362 10531521624 10593838320 10662185664 10801560640 10828782315 11337363648 11436946560 11476658180 11550701136 11846872960 12151755720 12390025440 12597070720 12712605984 12961872768 13164402030 13327732080 13589060160 13771989816 14042028832 14125117760 14171704560 14438376420 14868030528 14919655634 14956007040 15400934848 15797282436 15890757480 16202340960 16306872192 16520033920 16950141312 17214987270 17326051704 17552536040 17770309440 18362653088 18585038160 18895606080 19251168560 19442809152 19557855360 19746603045 20383590240 20657984724 21063043248 21187676640 21324371328 21603121280 21657564630 22379483451 22674727296 22953316360 23101402272 24303511440 24780050880 25425211968 25822480905 26328804060 26655464160 27178120320 27543979632 28084057664 28250235520 28343409120 28876752840 29736061056 29839311268 30801869696 31594564872 31781514960 32404681920 34429974540 34652103408 35105072080 35540618880 36725306176 37170076320 37299139085 37791212160 38502337120 38885618304 39493206090 40767180480 41315969448 42126086496 42375353280 43315129260 44758966902 45906632720 46202804544 48607022880 49560101760 50850423936 51644961810 52657608120 53310928320 55087959264 56168115328 56686818240 57753505680 59678622536 63189129744 63563029920 64809363840 67138450353 68859949080 69304206816 70210144160 73450612352 74340152640 74598278170 77004674240 78986412180 81534360960 82631938896 84252172992 84750706560 86630258520 89517933804 91813265440 92405609088 97214045760 103289923620 105315216240 106621856640 110175918528 111897417255 113373636480 115507011360 119357245072 126378259488 127126059840 134276900706 137719898160 138608413632 140420288320 148680305280 149196556340 154009348480 157972824360 165263877792 168504345984 173260517040 179035867608 183626530880 194428091520 206579847240 210630432480 220351837056 223794834510 231014022720 238714490144 252756518976 254252119680 268553801412 275439796320 277216827264 280840576640 298393112680 315945648720 330527755584 335692251765 346521034080 358071735216 367253061760 413159694480 421260864960 447589669020 462028045440 477428980288 505513037952 537107602824 550879592640 596786225360 631891297440 661055511168 671384503530 693042068160 716143470432 826319388960 842521729920 895179338040 954857960576 1074215205648 1101759185280 1193572450720 1263782594880 1342769007060 1386084136320 1432286940864 1652638777920 1790358676080 2148430411296 2387144901440 2527565189760 2685538014120 2864573881728 3305277555840 3580717352160 4296860822592 4774289802880 5371076028240 7161434704320 8593721645184 10742152056480 14322869408640 21484304112960 42968608225920
- Sum of all divisors σ(n): 176719181184000
- Sum of proper divisors (its aliquot sum) s(n): 133750572958080
- 42968608225920 is an abundant number, because the sum of its proper divisors (133750572958080) is greater than itself. Its abundance is 90781964732160
Bases of 42968608225920
- Binary: 10011100010100011010001010000100111010100000002
- Hexadecimal: 0x271468A13A80
- Base-36: F8BI7X5S0
Squares and roots of 42968608225920
- 42968608225920 squared (429686082259202) is 1846301292872599889759846400
- 42968608225920 cubed (429686082259203) is 79332996920452326689711821196355698688000
-
The
square root of 42968608225920 is 6555044.4869520147 -
The
cube root of 42968608225920 is 35025.4531113029
Scales and comparisons
How big is 42968608225920?- 42,968,608,225,920 seconds is equal to 1,366,268 years, 43 weeks, 1 day, 11 hours, 12 minutes.
-
To count from 1 to 42,968,608,225,920 would take you about three million, four hundred fifteen thousand, six hundred seventy-two 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 42968608225920 cubic inches would be around 2918.8 feet tall.
Recreational maths with 42968608225920
- 42968608225920 backwards is 02952280686924
- The number of decimal digits it has is: 14
- The sum of 42968608225920's digits is 63
- 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 42968608225920 - Facts about the integer". Numbermatics.com. 2024. Web. 21 September 2024.
APA style:
Numbermatics. (2024). Number 42968608225920 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/42968608225920/
Chicago style:
Numbermatics. 2024. "Number 42968608225920 - Facts about the integer". https://numbermatics.com/n/42968608225920/
The information we have on file for 42968608225920 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 42968608225920, math, Factors of 42968608225920, curriculum, school, college, exams, university, Prime factorization of 42968608225920, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, nine hundred sixty-eight billion, six hundred eight million, two hundred twenty-five thousand, nine hundred twenty.