138010997921280
138,010,997,921,280 is an even composite number composed of seven prime numbers multiplied together.
138010997921280 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138010997921280:
29 × 3 × 5 × 112 × 29 × 312 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 29 × 31 × 31 × 73 × 73)See below for interesting mathematical facts about the number 138010997921280 from the Numbermatics database.
Names of 138010997921280
- Cardinal: 138010997921280 can be written as One hundred thirty-eight trillion, ten billion, nine hundred ninety-seven million, nine hundred twenty-one thousand, two hundred eighty.
Scientific notation
- Scientific notation: 1.3801099792128 × 1014
Factors of 138010997921280
Divisors of 138010997921280
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 31 32 33 40 44 48 55 58 60 62 64 66 73 80 87 88 93 96 110 116 120 121 124 128 132 145 146 155 160 165 174 176 186 192 219 220 232 240 242 248 256 264 290 292 310 319 320 330 341 348 352 363 365 372 384 435 438 440 464 465 480 484 496 512 528 580 584 605 620 638 640 660 682 696 704 726 730 744 768 803 870 876 880 899 928 930 957 960 961 968 992 1023 1056 1095 1160 1168 1210 1240 1276 1280 1320 1364 1392 1408 1452 1460 1488 1536 1595 1606 1705 1740 1752 1760 1798 1815 1856 1860 1914 1920 1922 1936 1984 2046 2112 2117 2190 2263 2320 2336 2409 2420 2480 2552 2560 2640 2697 2728 2784 2816 2883 2904 2920 2976 3190 3212 3410 3480 3504 3509 3520 3596 3630 3712 3720 3751 3828 3840 3844 3872 3968 4015 4092 4224 4234 4380 4495 4526 4640 4672 4785 4805 4818 4840 4960 5104 5115 5280 5329 5394 5456 5568 5632 5766 5808 5840 5952 6351 6380 6424 6789 6820 6960 7008 7018 7040 7192 7260 7424 7440 7502 7656 7680 7688 7744 7936 8030 8184 8448 8468 8760 8833 8990 9052 9280 9344 9570 9610 9636 9680 9889 9920 10208 10230 10527 10560 10571 10585 10658 10788 10912 11136 11253 11315 11532 11616 11680 11904 12045 12702 12760 12848 13485 13578 13640 13920 14016 14036 14080 14384 14415 14520 14848 14880 15004 15312 15376 15488 15872 15987 16060 16368 16896 16936 17520 17545 17666 17980 18104 18560 18688 18755 19140 19220 19272 19360 19778 19840 20416 20460 21054 21120 21142 21170 21316 21576 21824 22272 22506 22630 23064 23232 23287 23360 23808 24090 24893 25404 25520 25696 26499 26645 26970 27156 27280 27840 27869 28032 28072 28160 28768 28830 29040 29667 29760 30008 30624 30752 30976 31713 31755 31974 32120 32736 33872 33945 35040 35090 35332 35960 36208 37120 37376 37510 38280 38440 38544 38720 39556 39680 40832 40920 42108 42240 42284 42340 42632 43152 43648 44165 44544 45012 45260 46128 46464 46574 46720 47616 48180 49445 49786 50808 51040 51392 52635 52855 52998 53290 53940 54312 54560 55680 55738 56064 56144 56265 57536 57660 58080 58619 59334 59520 60016 61248 61504 61952 63426 63510 63948 64240 65472 65627 67744 67890 69861 70080 70153 70180 70664 71920 72416 74240 74679 75020 76560 76880 77088 77440 79112 79360 79935 81664 81840 83607 84216 84480 84568 84680 85264 86304 87296 88330 90024 90520 92256 92928 93148 93440 96360 98890 99572 101616 102080 102784 105270 105710 105996 106580 107880 108624 108779 109120 111360 111476 112128 112288 112530 115072 115320 116160 116281 116435 117238 118668 119040 120032 122496 123008 124465 126852 127020 127896 128480 130944 131254 132495 135488 135780 139345 139722 140160 140306 140360 141328 143840 144832 148335 149358 150040 153120 153760 154176 154541 154880 158224 158565 159870 163328 163680 165199 167214 168432 169136 169360 170528 172608 174592 175857 176660 180048 181040 184512 185856 186296 186880 192720 196881 197780 199144 203232 204160 205568 210459 210540 211420 211992 213160 215760 217248 217558 218240 222720 222952 224576 225060 230144 230640 232320 232562 232870 234476 237336 238080 240064 244992 246016 248930 253704 254040 255792 256157 256960 261888 262508 264990 270976 271560 273823 278690 279444 280320 280612 280720 282656 287680 289664 293095 296670 298716 300080 306240 306559 307520 308352 309082 309760 316448 317130 319740 326337 327360 328135 330398 334428 336864 338272 338720 341056 345216 348843 349305 350765 351714 353320 360096 362080 369024 372592 373395 385440 393762 395560 398288 406464 408320 411136 418035 420918 421080 422840 423984 426320 431520 434496 435116 436480 445904 449152 450120 460288 461280 463623 464640 465124 465740 468952 474672 480128 489984 492032 495597 497860 507408 508080 511584 512314 513920 523776 525016 529980 541952 543120 543895 547646 557380 558888 560640 561224 561440 565312 575360 579328 581405 586190 593340 597432 600160 612480 613118 615040 616704 618164 632896 634260 639480 644809 652674 654720 656270 660796 668856 673728 676544 677440 682112 690432 697686 698610 701530 703428 706640 720192 721897 724160 738048 745184 746790 768471 770880 771683 772705 787524 791120 796576 812928 816640 821469 825995 836070 841836 842160 845680 847968 852640 863040 868992 870232 872960 879285 891808 898304 900240 919677 922560 927246 929280 930248 931480 937904 949344 960256 984405 991194 995720 1014816 1016160 1023168 1024628 1027840 1050032 1052295 1059960 1083904 1086240 1087790 1095292 1114760 1117776 1122448 1122880 1130624 1150720 1158656 1162810 1172380 1186680 1194864 1200320 1224960 1226236 1230080 1233408 1236328 1265792 1268520 1278960 1280785 1289618 1305348 1309440 1312540 1321592 1337712 1347456 1353088 1354880 1364224 1369115 1380864 1395372 1397220 1403060 1406856 1413280 1440384 1443794 1448320 1476096 1490368 1493580 1532795 1536942 1541760 1543366 1545410 1575048 1582240 1593152 1625856 1631685 1642938 1651990 1672140 1683672 1684320 1691360 1695936 1699951 1705280 1726080 1737984 1740464 1744215 1758570 1783616 1796608 1800480 1817189 1839354 1845120 1854492 1860496 1862960 1875808 1898688 1920512 1934427 1968810 1982388 1991440 2029632 2032320 2034437 2046336 2049256 2055680 2100064 2104590 2119920 2165691 2172480 2175580 2190584 2229520 2235552 2244896 2245760 2261248 2301440 2315049 2318115 2325620 2344760 2373360 2389728 2400640 2449920 2452472 2460160 2472656 2477985 2531584 2537040 2557920 2561570 2579236 2610696 2618880 2625080 2643184 2675424 2694912 2706176 2709760 2728448 2738230 2790744 2794440 2806120 2813712 2826560 2880768 2887588 2896640 2980736 2987160 3065590 3073884 3083520 3086732 3090820 3150096 3164480 3186304 3224045 3251712 3263370 3285876 3303980 3344280 3367344 3368640 3372149 3382720 3391872 3399902 3410560 3452160 3475968 3480928 3488430 3517140 3567232 3600960 3609485 3634378 3678708 3690240 3708984 3720992 3725920 3751616 3797376 3842355 3858415 3868854 3937620 3964776 3982880 4059264 4064640 4068874 4092672 4098512 4107345 4200128 4209180 4239840 4331382 4344960 4351160 4381168 4459040 4471104 4489792 4491520 4522496 4598385 4630098 4636230 4651240 4689520 4746720 4779456 4790771 4801280 4904944 4945312 4955970 5063168 5074080 5099853 5115840 5121169 5123140 5158472 5221392 5250160 5286368 5350848 5389824 5412352 5419520 5451567 5476460 5581488 5588880 5612240 5627424 5653120 5761536 5775176 5793280 5961472 5974320 6103311 6131180 6147768 6167040 6173464 6181640 6300192 6328960 6372608 6448090 6526740 6571752 6607960 6688560 6734688 6737280 6744298 6765440 6783744 6799804 6821120 6904320 6961856 6976860 7034280 7134464 7201920 7218970 7268756 7357416 7380480 7417968 7441984 7451840 7503232 7594752 7684710 7716830 7737708 7875240 7929552 7940867 7965760 8118528 8129280 8137748 8185344 8197024 8214690 8400256 8418360 8479680 8488513 8499755 8662764 8689920 8702320 8762336 8918080 8942208 8979584 8983040 9085945 9196770 9260196 9272460 9302480 9379040 9493440 9558912 9581542 9602560 9672135 9809888 9890624 9911940 10116447 10148160 10172185 10199706 10231680 10242338 10246280 10316944 10442784 10500320 10572736 10701696 10828455 10903134 10952920 11162976 11177760 11224480 11254848 11306240 11550352 11575245 11922944 11948640 12206622 12262360 12295536 12346928 12363280 12600384 12657920 12745216 12896180 13053480 13143504 13215920 13377120 13469376 13474560 13488596 13530880 13567488 13599608 13642240 13923712 13953720 14068560 14268928 14372313 14403840 14437940 14537512 14714832 14835936 14883968 14903680 15006464 15189504 15363507 15369420 15433660 15475416 15750480 15859104 15881734 15931520 16237056 16258560 16275496 16394048 16429380 16800512 16836720 16860745 16959360 16977026 16999510 17325528 17379840 17404640 17524672 17836160 17884416 17959168 18171890 18393540 18520392 18544920 18604960 18699461 18758080 18986880 19117824 19163084 19344270 19619776 19781248 19823880 19989079 20232894 20296320 20344370 20399412 20463360 20484676 20492560 20633888 20885568 21000640 21145472 21403392 21656910 21806268 21905840 22325952 22355520 22378807 22448960 22509696 22612480 23100704 23150490 23822601 23897280 23953855 24413244 24524720 24591072 24693856 24726560 25200768 25315840 25465539 25499265 25605845 25792360 26106960 26287008 26431840 26754240 26938752 26949120 26977192 27061760 27199216 27257835 27847424 27907440 28137120 28744626 28807680 28875880 29075024 29429664 29671872 29767936 29807360 30012928 30516555 30727014 30738840 30867320 30950832 31500960 31718208 31763468 31863040 32550992 32788096 32858760 33601024 33673440 33721490 33918720 33954052 33999020 34651056 34809280 35049344 35672320 35768832 35918336 36343780 36787080 37040784 37089840 37209920 37398922 37516160 37973760 38235648 38326168 38688540 39239552 39562496 39647760 39704335 39978158 40465788 40592640 40688740 40798824 40926720 40969352 40985120 41267776 41771136 42001280 42290944 42442565 42806784 43313820 43612536 43811680 44651904 44711040 44757614 44897920 45019392 46201408 46300980 47645202 47794560 47907710 48826488 49049440 49182144 49387712 49453120 50401536 50582235 50931078 50998530 51211690 51584720 52213920 52574016 52698481 52863680 53508480 53877504 53954384 54398432 54515670 55694848 55814880 56098383 56274240 56332859 57489252 57751760 58150048 58859328 59343744 59535872 59614720 59967237 61033110 61454028 61477680 61734640 61901664 63001920 63436416 63526936 63726080 65101984 65576192 65717520 67136421 67346880 67442980 67837440 67908104 67998040 69302112 69618560 70098688 71344640 71861565 72687560 73574160 74081568 74179680 74419840 74797844 75032320 75947520 76652336 76817535 77377080 78479104 79124992 79295520 79408670 79956316 80931576 81185280 81377480 81597648 81938704 81970240 82535552 83542272 84002560 84581888 84885130 86627640 87225072 87623360 89303808 89422080 89515228 89795840 90038784 92402816 92601960 93497305 95290404 95589120 95815420 97652976 98098880 98364288 98775424 98906240 99945395 100803072 101164470 101862156 101997060 102423380 103169440 104427840 105148032 105396962 105727360 107016960 107755008 107908768 108796864 109031340 111629760 111894035 112196766 112548480 112665718 114978504 115503520 116300096 117718656 118687488 119113005 119934474 122066220 122908056 122955360 123469280 123803328 126003840 126872832 127053872 127327695 130203968 131152384 131435040 134272842 134693760 134885960 135816208 135996080 138604224 139237120 140197376 143723130 145375120 147148320 148163136 148359360 148513901 148839680 149595688 150064640 153304672 153635070 154754160 156958208 158095443 158591040 158817340 159912632 161863152 162754960 163195296 163877408 163940480 165071104 167084544 168005120 168998577 169770260 173255280 174450144 175246720 178607616 178844160 179030456 179591680 184805632 185203920 186994610 190580808 191178240 191630840 195305952 196197760 196728576 197550848 197812480 199890790 202328940 203724312 203994120 204846760 206338880 208855680 210296064 210793924 211454720 214033920 215817536 217593728 218062680 223259520 223788070 224393532 225096960 225331436 229957008 231007040 232600192 235437312 237374976 238226010 239868948 244132440 245816112 245910720 246166877 246938560 247606656 252007680 253745664 254107744 254655390 260407936 262870080 263492405 268545684 269387520 269771920 271632416 271992160 277208448 278474240 280491915 281664295 287446260 290750240 294296640 296326272 296718720 297027802 297679360 299191376 299836185 306609344 307270140 309508320 316190886 317182080 317634680 319825264 323726304 325509920 326390592 327754816 327880960 330142208 335682105 337997154 339540520 346510560 348900288 350493440 358060912 369611264 370407840 373989220 381161616 383261680 390611904 392395520 393457152 395101696 395624960 399781580 404657880 407448624 407988240 409693520 412677760 417711360 420592128 421587848 422909440 431635072 435187456 436125360 445541703 446519040 447576140 448787064 450193920 450662872 459914016 462014080 465200384 470874624 476452020 479737896 488264880 491632224 491821440 492333754 493877120 495213312 504015360 508215488 509310780 520815872 525740160 526984810 537091368 538775040 539543840 543264832 543984320 554416896 560983830 563328590 574892520 579683291 581500480 588593280 592652544 593437440 594055604 598382752 599672370 613218688 614540280 619016640 619661449 632381772 634364160 635269360 639650528 647452608 651019840 652781184 655509632 655761920 671364210 675994308 679081040 693021120 697800576 700986880 716121824 738500631 740815680 742569505 747978440 762323232 766523360 781223808 784791040 790477215 799563160 809315760 814897248 815976480 819387040 825355520 835422720 843175696 844992885 863270144 870374912 872250720 891083406 893038080 895152280 897574128 901325744 919828032 924028160 930400768 952904040 959475792 976529760 983264448 983642880 984667508 987754240 990426624 1016430976 1018621560 1041631744 1051480320 1053969620 1074182736 1079087680 1086529664 1087968640 1108833792 1121967660 1126657180 1149785040 1159366582 1163000960 1177186560 1185305088 1186874880 1188111208 1196765504 1199344740 1226437376 1229080560 1230834385 1238033280 1239322898 1264763544 1268728320 1270538720 1279301056 1294905216 1302039680 1305562368 1311019264 1342728420 1351988616 1358162080 1386042240 1395601152 1432243648 1477001262 1481631360 1485139010 1495956880 1524646464 1533046720 1562447616 1580954430 1599126320 1618631520 1629794496 1631952960 1633652911 1638774080 1650711040 1686351392 1689985770 1726540288 1739049873 1744501440 1782166812 1790304560 1795148256 1802651488 1839656064 1848056320 1858984347 1905808080 1918951584 1953059520 1966528896 1967285760 1969335016 1975508480 2032861952 2037243120 2102960640 2107939240 2148365472 2158175360 2173059328 2175937280 2227708515 2243935320 2253314360 2299570080 2318733164 2326001920 2354373120 2376222416 2393531008 2398689480 2452874752 2458161120 2461668770 2476066560 2478645796 2529527088 2541077440 2558602112 2589810432 2604079360 2611124736 2622038528 2685456840 2703977232 2716324160 2772084480 2791202304 2864487296 2898416455 2954002524 2963262720 2970278020 2991913760 3049292928 3066093440 3098307245 3124895232 3161908860 3198252640 3237263040 3259588992 3263905920 3267305822 3277548160 3372702784 3379971540 3478099746 3489002880 3564333624 3580609120 3590296512 3605302976 3679312128 3692503155 3717968694 3811616160 3837903168 3906119040 3933057792 3938670032 4065723904 4074486240 4215878480 4296730944 4316350720 4346118656 4351874560 4455417030 4487870640 4506628720 4599140160 4637466328 4652003840 4752444832 4787062016 4797378960 4900958733 4916322240 4923337540 4952133120 4957291592 5059054176 5082154880 5117204224 5179620864 5208158720 5370913680 5407954464 5432648320 5544168960 5728974592 5796832910 5908005048 5926525440 5940556040 5983827520 6098585856 6132186880 6196614490 6323817720 6396505280 6474526080 6519177984 6527811840 6534611644 6555096320 6745405568 6759943080 6956199492 6978005760 7128667248 7161218240 7180593024 7210605952 7358624256 7385006310 7435937388 7623232320 7675806336 7812238080 7866115584 7877340064 8148972480 8168264555 8431756960 8593461888 8632701440 8695249365 8910834060 8975741280 9013257440 9198280320 9274932656 9294921735 9504889664 9574124032 9594757920 9801917466 9832644480 9846675080 9914583184 10118108352 10164309760 10234408448 10741827360 10815908928 10865296640 11457949184 11593665820 11816010096 11881112080 11967655040 12197171712 12264373760 12393228980 12647635440 12793010560 12949052160 13038355968 13055623680 13069223288 13110192640 13490811136 13519886160 13912398984 13956011520 14257334496 14322436480 14361186048 14421211904 14770012620 14871874776 15246464640 15351612672 15624476160 15754680128 16297944960 16336529110 16863513920 17186923776 17390498730 17821668120 17951482560 17970182021 18026514880 18396560640 18549865312 18589843470 19009779328 19189515840 19603834932 19665288960 19693350160 19829166368 20236216704 20328619520 21483654720 21631817856 21730593280 23187331640 23632020192 23762224160 23935310080 24504793665 24786457960 25295270880 25586021120 25898104320 26138446576 26981622272 27039772320 27824797968 28514668992 28644872960 28722372096 28842423808 29540025240 29743749552 30492929280 30703225344 31509360256 32595889920 32673058220 33727027840 34373847552 34780997460 35643336240 35902965120 35940364042 36053029760 36793121280 37099730624 37179686940 38019558656 38379031680 39207669864 39330577920 39386700320 39658332736 40472433408 42967309440 43263635712 46374663280 47264040384 47524448320 47870620160 49009587330 49572915920 50590541760 51172042240 52276893152 53910546063 54079544640 55649595936 57029337984 57289745920 59080050480 59487499104 60985858560 63018720512 65191779840 65346116440 67454055680 69561994920 71286672480 71805930240 71880728084 72106059520 74199461248 74359373880 76039117312 76758063360 78415339728 78773400640 79316665472 80944866816 85934618880 86527271424 89850910105 92749326560 94528080768 95048896640 98019174660 99145831840 101181083520 104553786304 107821092126 108159089280 111299191872 114058675968 118160100960 118974998208 126037441024 130692232880 134908111360 139123989840 142573344960 143611860480 143761456168 144212119040 148398922496 148718747760 153516126720 156830679456 157546801280 158633330944 171869237760 179701820210 185498653120 189056161536 190097793280 196038349320 198291663680 202362167040 209107572608 215642184252 216318178560 222598383744 228117351936 236320201920 237949996416 261384465760 269552730315 278247979680 285146689920 287522912336 296797844992 297437495520 313661358912 315093602560 317266661888 359403640420 370997306240 378112323072 380195586560 392076698640 396583327360 404724334080 418215145216 431284368504 432636357120 445196767488 472640403840 475899992832 522768931520 539105460630 556495959360 570293379840 575045824672 594874991040 627322717824 630187205120 718807280840 741994612480 784153397280 793166654720 836430290432 862568737008 890393534976 945280807680 951799985664 1045537863040 1078210921260 1112991918720 1140586759680 1150091649344 1189749982080 1254645435648 1437614561680 1483989224960 1568306794560 1586333309440 1725137474016 1890561615360 2091075726080 2156421842520 2225983837440 2300183298688 2379499964160 2509290871296 2875229123360 3136613589120 3450274948032 4182151452160 4312843685040 4451967674880 4600366597376 4758999928320 5750458246720 6273227178240 6900549896064 8625687370080 9200733194752 11500916493440 12546454356480 13801099792128 17251374740160 23001832986880 27602199584256 34502749480320 46003665973760 69005498960640 138010997921280
- Sum of all divisors σ(n): 525586240483920
- Sum of proper divisors (its aliquot sum) s(n): 387575242562640
- 138010997921280 is an abundant number, because the sum of its proper divisors (387575242562640) is greater than itself. Its abundance is 249564244641360
Bases of 138010997921280
- Binary: 111110110000101001100001000000110010110000000002
- Hexadecimal: 0x7D8530819600
- Base-36: 1CX5DKTNUO
Squares and roots of 138010997921280
- 138010997921280 squared (1380109979212802) is 19047035547227552481076838400
- 138010997921280 cubed (1380109979212803) is 2628700383314968012733037650958354481152000
-
The
square root of 138010997921280 is 11747808.2177604517 -
The
cube root of 138010997921280 is 51677.8652746015
Scales and comparisons
How big is 138010997921280?- 138,010,997,921,280 seconds is equal to 4,388,322 years, 43 weeks, 3 days, 23 hours, 28 minutes.
-
To count from 1 to 138,010,997,921,280 would take you about ten million, nine hundred seventy thousand, eight hundred seven 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 138010997921280 cubic inches would be around 4306.5 feet tall.
Recreational maths with 138010997921280
- 138010997921280 backwards is 082129799010831
- 138010997921280 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138010997921280's digits is 60
- More coming soon!
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"Number 138010997921280 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 138010997921280 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138010997921280/
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Numbermatics. 2024. "Number 138010997921280 - Facts about the integer". https://numbermatics.com/n/138010997921280/
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