2138588379826800
2,138,588,379,826,800 is an even composite number composed of seven prime numbers multiplied together.
2138588379826800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 2138588379826800:
24 × 3 × 52 × 113 × 17 × 613 × 347
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 11 × 17 × 61 × 61 × 61 × 347)See below for interesting mathematical facts about the number 2138588379826800 from the Numbermatics database.
Names of 2138588379826800
- Cardinal: 2138588379826800 can be written as Two quadrillion, one hundred thirty-eight trillion, five hundred eighty-eight billion, three hundred seventy-nine million, eight hundred twenty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 2.1385883798268 × 1015
Factors of 2138588379826800
Divisors of 2138588379826800
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 25 30 33 34 40 44 48 50 51 55 60 61 66 68 75 80 85 88 100 102 110 120 121 122 132 136 150 165 170 176 183 187 200 204 220 240 242 244 255 264 272 275 300 305 330 340 347 363 366 374 400 408 425 440 484 488 510 528 550 561 600 605 610 660 671 680 694 726 732 748 816 825 850 880 915 935 968 976 1020 1037 1041 1100 1122 1200 1210 1220 1275 1320 1331 1342 1360 1388 1452 1464 1496 1525 1650 1700 1735 1815 1830 1870 1936 2013 2040 2057 2074 2082 2200 2244 2420 2440 2550 2640 2662 2684 2776 2805 2904 2928 2992 3025 3050 3111 3300 3355 3400 3470 3630 3660 3721 3740 3817 3993 4026 4080 4114 4148 4164 4400 4488 4575 4675 4840 4880 5100 5185 5205 5324 5368 5552 5610 5808 5899 6050 6100 6171 6222 6600 6655 6710 6800 6940 7260 7320 7381 7442 7480 7634 7986 8052 8228 8296 8328 8675 8976 9075 9150 9350 9680 10065 10200 10285 10370 10410 10648 10736 11163 11220 11407 11451 11798 12100 12200 12342 12444 13200 13310 13420 13880 14025 14520 14640 14762 14884 14960 15268 15555 15972 16104 16456 16592 16656 16775 17350 17697 18150 18300 18605 18700 19085 19965 20130 20400 20570 20740 20820 21167 21296 22143 22326 22440 22627 22814 22902 23596 24200 24400 24684 24888 25925 26025 26620 26840 27760 28050 29040 29495 29524 29768 30536 30855 31110 31944 32208 32912 33275 33550 34221 34700 35394 36300 36600 36905 37210 37400 38170 39930 40260 40931 41140 41480 41640 41987 42334 44286 44652 44880 45254 45628 45804 47192 48400 49368 49776 50325 51425 51850 52050 53240 53680 55815 56100 57035 57255 58990 59048 59536 61072 61710 62220 63257 63501 63888 64889 66550 67100 67881 68442 69400 70788 72600 73200 73810 74420 74800 76340 77775 79860 80520 81191 81862 82280 82960 83280 83974 84668 88485 88572 89304 90508 91256 91608 93025 94384 95425 98736 99825 100650 102850 103700 104100 105835 106480 110715 111630 112200 113135 114070 114510 117980 118096 122793 123420 124440 125477 125961 126514 127002 129778 133100 134200 135762 136884 138800 141576 145200 147475 147620 148840 152680 154275 155550 159720 161040 162382 163724 164560 167948 169336 171105 176970 177144 178608 181016 182512 183216 184525 186050 189771 190850 194667 199650 201300 204655 205700 207400 208200 209935 211670 221430 223260 224400 226270 226981 228140 229020 232837 235960 243573 245586 246840 248880 250954 251922 253028 254004 259556 266200 268400 271524 273768 279075 283152 285175 286275 294950 295240 297680 305360 308550 311100 316285 317505 319440 324445 324764 327448 335896 338672 339405 342210 353940 354288 359839 362032 369050 372100 376431 379542 381700 389334 399300 402600 405955 409310 411400 414800 416400 419870 423340 442425 442860 446520 450241 452540 453962 456280 458040 461857 465674 471920 487146 491172 493680 501908 503844 506056 508008 519112 529175 532400 543048 547536 553575 558150 565675 570350 572550 589900 590480 613965 617100 622200 627385 629805 632570 635010 648890 649528 654896 671792 678810 680943 684420 695827 698511 707880 713779 719678 738100 744200 752862 759084 763400 778668 798600 805200 811910 818620 822800 839740 846680 855525 884850 885720 893040 900482 905080 907924 912560 916080 923714 931348 948855 973335 974292 982344 1003816 1007688 1012112 1016016 1023275 1038224 1049675 1058350 1079517 1086096 1107150 1116300 1131350 1134905 1140700 1145100 1164185 1179800 1217865 1227930 1234200 1244400 1254770 1259610 1265140 1270020 1291187 1297780 1299056 1350723 1357620 1361886 1368840 1380247 1385571 1391654 1397022 1415760 1427558 1439356 1476200 1488400 1505724 1518168 1526800 1557336 1581425 1587525 1597200 1622225 1623820 1637240 1679480 1693360 1697025 1711050 1769700 1771440 1799195 1800964 1810160 1815848 1847428 1862696 1882155 1897710 1946670 1948584 1964688 2007632 2015376 2029775 2046550 2087481 2099350 2116700 2141337 2159034 2214300 2232600 2251205 2262700 2269810 2281400 2290200 2309285 2328370 2359600 2435730 2455860 2468400 2496791 2509540 2519220 2530280 2540040 2561207 2582374 2595560 2701446 2715240 2723772 2737680 2760494 2771142 2783308 2794044 2855116 2878712 2952400 3011448 3036336 3069825 3114672 3136925 3149025 3162850 3175050 3244450 3247640 3274480 3358960 3394050 3404715 3422100 3479135 3492555 3539400 3568895 3598390 3601928 3631696 3694856 3725392 3764310 3795420 3858677 3873561 3893340 3897168 3958229 4059550 4093100 4140741 4174962 4198700 4233400 4282674 4318068 4428600 4465200 4502410 4525400 4539620 4562800 4580400 4618570 4656740 4744275 4866675 4871460 4911720 4952651 4993582 5019080 5038440 5060560 5080080 5122414 5164748 5191120 5397585 5402892 5430480 5447544 5520988 5542284 5566616 5588088 5674525 5710232 5757424 5820925 6022896 6089325 6139650 6273850 6298050 6325700 6350100 6455935 6488900 6495280 6753615 6788100 6809430 6844200 6901235 6927855 6958270 6985110 7078800 7137790 7196780 7203856 7389712 7490373 7528620 7590840 7654097 7683621 7717354 7747122 7786680 7851569 7916458 8119100 8186200 8281482 8349924 8397400 8466800 8565348 8636136 8857200 8995975 9004820 9050800 9079240 9237140 9313480 9410775 9488550 9733350 9742920 9823440 9905302 9987164 10038160 10076880 10244828 10329496 10437405 10706685 10795170 10805784 10895088 11041976 11084568 11133232 11176176 11256025 11349050 11420464 11546425 11576031 11641850 11874687 12178650 12279300 12483955 12547700 12596100 12651400 12700200 12806035 12911870 12977800 13507230 13576200 13618860 13688400 13802470 13855710 13916540 13970220 14203057 14275580 14393560 14857953 14980746 15057240 15181680 15308194 15367242 15434708 15494244 15573360 15703138 15832916 16238200 16372400 16562964 16699848 16794800 17023575 17130696 17272272 17395675 17462775 17844475 17991950 18009640 18158480 18474280 18626960 18821550 18977100 19293385 19367805 19466700 19485840 19791145 19810604 19974328 20489656 20658992 20703705 20874810 21413370 21590340 21611568 21950179 22083952 22169136 22512050 22698100 22962291 23092850 23152062 23283700 23554707 23749374 24357300 24558600 24763255 24967910 25095400 25192200 25302800 25400400 25612070 25823740 25955600 26987925 27014460 27152400 27237720 27464701 27604940 27711420 27833080 27940440 28173277 28406114 28551160 28787120 29715906 29961492 30114480 30616388 30734484 30869416 30988488 31406276 31665832 32279675 32476400 33125928 33399696 33768075 34047150 34261392 34506175 34639275 34791350 34925550 35688950 35983900 36019280 36948560 37451865 37643100 37954200 38270485 38418105 38586770 38735610 38933400 39257845 39582290 39621208 39948656 40979312 41407410 41749620 42445447 42609171 42826740 43180680 43540519 43900358 45024100 45396200 45924582 46185700 46304124 46567400 47109414 47498748 48714600 49117200 49526510 49935820 50190800 50384400 51224140 51647480 52187025 53533425 53975850 54028920 54475440 54929402 55209880 55422840 55666160 55880880 56346554 56812228 57102320 57880155 59373435 59431812 59922984 61232776 61468968 61738832 61976976 62419775 62812552 63331664 64030175 64559350 65850537 66251856 67536150 68094300 69012350 69278550 69582700 69851100 71015285 71377900 71967800 74289765 74903730 75286200 75908400 76540970 76836210 77173540 77471220 77866800 78515690 78762407 79164580 79242416 82394103 82814820 83499240 84195067 84519831 84890894 85218342 85653480 86361360 87081038 87800716 90048200 90792400 91849164 92371400 92608248 93134800 94218828 94997496 96466925 96839025 97429200 98955725 99053020 99871640 102448280 103294960 103518525 104374050 107066850 107951700 108057840 109750895 109858804 110419760 110845680 112693108 113624456 114811455 115760310 117773535 118746870 118863624 119845968 122465552 122937936 123816275 124839550 125625104 127336341 128060350 129118700 130621557 131701074 135072300 136188600 137323505 138024700 138557100 139165400 139702200 140866385 142030570 142755800 143935600 148579530 149807460 150572400 153081940 153672420 154347080 154942440 156233627 157031380 157524814 158329160 164788206 165629640 166998480 168390134 169039662 169781788 170436684 171306960 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439435216 450772432 459245820 463041240 466899917 468700881 471094140 472574442 474987480 478945709 482903938 495265100 499358200 505170402 509345364 512241400 516474800 522486228 526804296 540289200 548754475 549294020 552098800 554228400 563465540 568122280 574057275 578801550 588867675 593734350 594318120 599229840 604223422 612327760 614689680 624934508 628125520 630099256 636681705 653107785 658505370 659152824 673560536 676158648 679127152 681746736 686617525 696648304 704331925 710152850 724355907 742897650 749037300 765409700 768362100 771735400 774712200 781168135 785156900 787624070 791645800 823941030 828148200 834992400 841950670 845198310 848908940 852183420 856534800 866386477 870810380 878007160 906335133 918491640 926082480 933799834 937401762 942188280 945148884 949974960 957891418 965807876 990530200 998716400 1010340804 1018690728 1024482800 1044972456 1053608592 1061136175 1065229275 1088512975 1097508950 1098588040 1126931080 1136244560 1148114550 1157603100 1177735350 1181436105 1187468700 1188636240 1207259845 1208446844 1249869016 1260198512 1262926005 1273363410 1306215570 1317010740 1318305648 1338960919 1347121072 1352317296 1373235050 1400699751 1408663850 1420305700 1436837127 1448711814 1485795300 1498074600 1510558555 1530819400 1536724200 1543470800 1549424400 1562336270 1570313800 1575248140 1583291600 1646263425 1647882060 1656296400 1683901340 1690396620 1697817880 1704366840 1718569897 1732772954 1741620760 1756014320 1812670266 1836983280 1867599668 1874803524 1884376560 1890297768 1915782836 1931615752 1969060175 1981060400 2020681608 2037381456 2059852575 2089944912 2104876675 2112995775 2122272350 2130458550 2177025950 2195017900 2197176080 2253862160 2296229100 2315206200 2334499585 2343504405 2355470700 2362872210 2374937400 2394728545 2414519690 2416893688 2499738032 2525852010 2546726820 2599159431 2612431140 2634021480 2655971659 2677921838 2746470100 2801399502 2817327700 2840611400 2873674254 2897423628 2971590600 2996149200 3021117110 3061638800 3073448400 3124672540 3140627600 3150496280 3183408525 3265538925 3292526850 3295764120 3367802680 3380793240 3395635760 3408733680 3437139794 3465545908 3483241520 3621779535 3625340532 3735199336 3749607048 3780595536 3831565672 3863231504 3905840675 3938120350 4016882757 4041363216 4119705150 4209753350 4225991550 4244544700 4260917100 4331932385 4354051900 4390035800 4531675665 4592458200 4630412400 4668999170 4687008810 4710941400 4725744420 4749874800 4789457090 4829039380 4833787376 5051704020 5093453640 5135899087 5155709691 5198318862 5224862280 5268042960 5311943318 5355843676 5492940200 5602799004 5634655400 5681222800 5747348508 5794847256 5907180525 5943181200 6036299225 6042234220 6249345080 6300992560 6314630025 6366817050 6531077850 6585053700 6591528240 6694804595 6735605360 6761586480 6874279588 6931091816 7003498755 7184185635 7243559070 7250681064 7470398672 7499214096 7552792775 7663131344 7811681350 7876240700 7967914977 8033765514 8239410300 8419506700 8451983100 8489089400 8521834200 8592849485 8663864770 8708103800 8780071600 9063351330 9184916400 9337998340 9374017620 9421882800 9451488840 9530251247 9578914180 9658078760 10103408040 10186907280 10271798174 10311419382 10396637724 10449724560 10623886636 10711687352 10985880400 11205598008 11269310800 11494697016 11589694512 11672497925 11717522025 11814361050 11973642725 12072598450 12084468440 12498690160 12629260050 12733634100 12995797155 13062155700 13170107400 13279858295 13389609190 13748559176 13862183632 14006997510 14368371270 14487118140 14501362128 14728570109 15105585550 15407697261 15623362700 15752481400 15935829954 16067531028 16478820600 16839013400 16903966200 16978178800 17043668400 17185698970 17327729540 17416207600 18108897675 18126702660 18675996680 18748035240 18902977680 19060502494 19157828360 19316157520 20084413785 20206816080 20543596348 20622838764 20793275448 21247773272 21423374704 21659661925 22411196016 22658378325 22989394032 23344995850 23435044050 23628722100 23947285450 24145196900 24168936880 25258520100 25467268200 25679495435 25778548455 25991594310 26124311400 26340214800 26559716590 26779218380 27497118352 28013995020 28590753741 28736742540 28974236280 29215688249 29457140218 30211171100 30815394522 31246725400 31504962800 31871659908 32135062056 32957641200 33474022975 33678026800 33807932400 34371397940 34655459080 35017493775 35920928175 36217795350 36253405320 37351993360 37496070480 38121004988 38315656720 39839574885 40168827570 41087192696 41245677528 41586550896 42495546544 42964247425 43319323850 44185710327 45316756650 46689991700 46870088100 47257444200 47651256235 47894570900 48290393800 50517040200 50934536400 51358990870 51557096910 51983188620 52248622800 53119433180 53558436760 56027990040 57181507482 57473485080 57948472560 58431376498 58914280436 60422342200 61630789044 62493450800 63743319816 64270124112 64978985775 66399291475 66948045950 68742795880 69310918160 70034987550 71841856350 72435590700 72506810640 73642850545 76242009976 77038486305 79679149770 80337655140 82174385392 82491355056 85928494850 86638647700 87647064747 88371420654 90633513300 93379983400 93740176200 94514888400 95302512470 95789141800 96580787600 100422068925 101034080400 102717981740 103114193820 103966377240 104832763717 106238866360 107116873520 112055980080 114363014964 114946970160 116862752996 117828560872 120844684400 123261578088 127486639632 128397477175 128892742275 129957971550 132798582950 133896091900 137485591760 140069975100 142953768705 143683712700 144871181400 146078441245 147285701090 152484019952 154076972610 159358299540 160675310280 162014271199 171856989700 173277295400 175294129494 176742841308 181267026600 186759966800 187480352400 190605024940 191578283600 199197874425 200844137850 205435963480 206228387640 207932754480 209665527434 212477732720 220928551635 228726029928 233725505992 235657121744 238256281175 246523156176 256794954350 257785484550 259915943100 265597165900 267792183800 280139950200 285907537410 287367425400 289742362800 292156882490 294571402180 308153945220 314498291151 318716599080 321350620560 324028542398 343713979400 346554590800 350588258988 353485682616 362534053200 368214252725 381210049880 385192431525 398395748850 401688275700 410871926960 412456775280 419331054868 438235323735 441857103270 457452059856 467451011984 476512562350 486042813597 513589908700 515570969100 519831886200 524163818585 531194331800 535584367600 560279900400 571815074820 574734850800 584313764980 589142804360 616307890440 628996582302 637433198160 648057084796 687427958800 701176517976 706971365232 714768843525 730392206225 736428505450 762420099760 770384863050 796791497700 803376551400 810071355995 838662109736 876470647470 883714206540 953025124700 972085627194 1027179817400 1031141938200 1039663772400 1048327637170 1062388663600 1104642758175 1143630149640 1168627529960 1178285608720 1232615780880 1257993164604 1296114169592 1402353035952 1429537687050 1460784412450 1472857010900 1540769726100 1572491455755 1593582995400 1606753102800 1620142711990 1677324219472 1752941294940 1767428413080 1782156983189 1906050249400 1944171254388 2054359634800 2062283876400 2096655274340 2191176618675 2209285516350 2287260299280 2337255059920 2430214067985 2515986329208 2592228339184 2620819092925 2859075374100 2921568824900 2945714021800 3081539452200 3144982911510 3187165990800 3240285423980 3505882589880 3534856826160 3564313966378 3812100498800 3888342508776 4050356779975 4193310548680 4382353237350 4418571032700 4860428135970 5031972658416 5241638185850 5346470949567 5718150748200 5843137649800 5891428043600 6163078904400 6289965823020 6480570847960 7011765179760 7128627932756 7776685017552 7862457278775 8100713559950 8386621097360 8764706474700 8837142065400 8910784915945 9720856271940 10483276371700 10692941899134 11436301496400 11686275299600 12151070339925 12579931646040 12961141695920 14257255865512 15724914557550 16201427119900 17529412949400 17674284130800 17821569831890 19441712543880 20966552743400 21385883798268 24302140679850 25159863292080 26732354747835 28514511731024 31449829115100 32402854239800 35058825898800 35643139663780 38883425087760 41933105486800 42771767596536 44553924579725 48604281359700 53464709495670 62899658230200 64805708479600 71286279327560 85543535193072 89107849159450 97208562719400 106929418991340 125799316460400 133661773739175 142572558655120 178215698318900 194417125438800 213858837982680 267323547478350 356431396637800 427717675965360 534647094956700 712862793275600 1069294189913400 2138588379826800
- Sum of all divisors σ(n): 8134750982900736
- Sum of proper divisors (its aliquot sum) s(n): 5996162603073936
- 2138588379826800 is an abundant number, because the sum of its proper divisors (5996162603073936) is greater than itself. Its abundance is 3857574223247136
Bases of 2138588379826800
- Binary: 1111001100100001000111010001011001101001010011100002
- Hexadecimal: 0x79908E8B34A70
- Base-36: L22DXSMSMO
Squares and roots of 2138588379826800
- 2138588379826800 squared (21385883798268002) is 4573560258330217385197998240000
- 2138588379826800 cubed (21385883798268003) is 9780962822902660466115629384208157904832000000
-
The
square root of 2138588379826800 is 46244874.0924526683 -
The
cube root of 2138588379826800 is 128837.5331824919
Scales and comparisons
How big is 2138588379826800?- 2,138,588,379,826,800 seconds is equal to 68,000,495 years, 20 weeks, 2 days, 1 hour, 40 minutes.
-
To count from 1 to 2,138,588,379,826,800 would take you about two hundred four million, one thousand, four hundred eighty-six 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 2138588379826800 cubic inches would be around 10736.5 feet tall.
Recreational maths with 2138588379826800
- 2138588379826800 backwards is 0086289738858312
- The number of decimal digits it has is: 16
- The sum of 2138588379826800's digits is 78
- More coming soon!
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MLA style:
"Number 2138588379826800 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 2138588379826800 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/2138588379826800/
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The information we have on file for 2138588379826800 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!
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