2131020964800
2,131,020,964,800 is an even composite number composed of seven prime numbers multiplied together.
2131020964800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred fifty-two divisors.
Prime factorization of 2131020964800:
26 × 36 × 52 × 7 × 13 × 17 × 1181
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 17 × 1181)See below for interesting mathematical facts about the number 2131020964800 from the Numbermatics database.
Names of 2131020964800
- Cardinal: 2131020964800 can be written as Two trillion, one hundred thirty-one billion, twenty million, nine hundred sixty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 2.1310209648 × 1012
Factors of 2131020964800
Divisors of 2131020964800
- Number of divisors d(n): 2352
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 20 21 24 25 26 27 28 30 32 34 35 36 39 40 42 45 48 50 51 52 54 56 60 63 64 65 68 70 72 75 78 80 81 84 85 90 91 96 100 102 104 105 108 112 117 119 120 126 130 135 136 140 144 150 153 156 160 162 168 170 175 180 182 189 192 195 200 204 208 210 216 221 224 225 234 238 240 243 252 255 260 270 272 273 280 288 300 306 312 315 320 324 325 336 340 350 351 357 360 364 378 390 400 405 408 416 420 425 432 442 448 450 455 459 468 476 480 486 504 510 520 525 540 544 546 560 567 576 585 595 600 612 624 630 648 650 663 672 675 680 700 702 714 720 728 729 756 765 780 800 810 816 819 832 840 850 864 884 900 910 918 936 945 952 960 972 975 1008 1020 1040 1050 1053 1071 1080 1088 1092 1105 1120 1134 1170 1181 1190 1200 1215 1224 1248 1260 1275 1296 1300 1326 1344 1350 1360 1365 1377 1400 1404 1428 1440 1456 1458 1512 1530 1547 1560 1575 1600 1620 1632 1638 1680 1700 1701 1728 1755 1768 1785 1800 1820 1836 1872 1890 1904 1944 1950 1989 2016 2025 2040 2080 2100 2106 2142 2160 2184 2210 2240 2268 2275 2295 2340 2362 2380 2400 2430 2448 2457 2496 2520 2550 2592 2600 2652 2700 2720 2730 2754 2800 2808 2835 2856 2880 2912 2916 2925 2975 3024 3060 3094 3120 3150 3159 3213 3240 3264 3276 3315 3360 3400 3402 3510 3536 3543 3570 3600 3640 3645 3672 3744 3780 3808 3825 3888 3900 3978 4032 4050 4080 4095 4131 4160 4200 4212 4284 4320 4368 4420 4536 4550 4590 4641 4680 4724 4725 4760 4800 4860 4896 4914 5040 5100 5103 5184 5200 5265 5304 5355 5400 5440 5460 5508 5525 5600 5616 5670 5712 5824 5832 5850 5905 5950 5967 6048 6075 6120 6188 6240 6300 6318 6426 6480 6552 6630 6720 6800 6804 6825 6885 7020 7072 7086 7140 7200 7280 7290 7344 7371 7488 7560 7616 7650 7735 7776 7800 7956 8100 8160 8190 8262 8267 8400 8424 8505 8568 8640 8736 8775 8840 8925 9072 9100 9180 9282 9360 9448 9450 9477 9520 9639 9720 9792 9828 9945 10080 10200 10206 10400 10530 10608 10629 10710 10800 10920 11016 11050 11200 11232 11340 11424 11475 11664 11700 11810 11900 11934 12096 12150 12240 12285 12376 12393 12480 12600 12636 12852 12960 13104 13260 13600 13608 13650 13770 13923 14040 14144 14172 14175 14280 14400 14560 14580 14688 14742 15120 15300 15353 15470 15552 15600 15795 15912 16065 16200 16320 16380 16524 16534 16575 16800 16848 17010 17136 17472 17550 17680 17715 17850 17901 18144 18200 18225 18360 18564 18720 18896 18900 18954 19040 19278 19440 19656 19890 20077 20160 20400 20412 20475 20655 20800 21060 21216 21258 21420 21600 21840 22032 22100 22113 22464 22680 22848 22950 23205 23328 23400 23620 23800 23868 24300 24480 24570 24752 24786 24801 25200 25272 25515 25704 25920 26208 26325 26520 26775 27200 27216 27300 27540 27846 28080 28344 28350 28560 28917 29120 29160 29376 29484 29525 29835 30240 30600 30706 30940 31200 31590 31824 31887 32130 32400 32760 33048 33068 33150 33600 33696 34020 34272 34425 35100 35360 35430 35700 35802 36288 36400 36450 36720 36855 37128 37440 37792 37800 37908 38080 38556 38675 38880 39312 39780 40154 40800 40824 40950 41310 41335 41769 42120 42432 42516 42525 42840 43200 43680 44064 44200 44226 45360 45900 46059 46410 46656 46800 47240 47385 47600 47736 48195 48600 48960 49140 49504 49572 49602 49725 50400 50544 51030 51408 52416 52650 53040 53145 53550 53703 54432 54600 55080 55692 56160 56688 56700 57120 57834 58320 58968 59050 59670 60231 60480 61200 61412 61425 61880 61965 62400 63180 63648 63774 64260 64800 65520 66096 66136 66300 66339 67392 68040 68544 68850 69615 70200 70720 70860 71400 71604 72800 72900 73440 73710 74256 74403 75584 75600 75816 76765 77112 77350 77760 78624 78975 79560 80308 80325 81600 81648 81900 82620 82670 83538 84240 85032 85050 85680 86751 87360 88128 88400 88452 88575 89505 90720 91800 92118 92820 93600 94480 94770 95200 95472 95661 96390 97200 98280 99008 99144 99204 99450 100385 100800 101088 102060 102816 103275 105300 106080 106290 107100 107406 107471 108864 109200 110160 110565 111384 112320 113376 113400 114240 115668 116025 116640 117936 118100 119340 120462 122400 122824 122850 123760 123930 124005 125307 126360 127296 127548 127575 128520 129600 131040 132192 132272 132600 132678 136080 137700 138177 139230 140400 140539 141720 142800 143208 144585 145600 145800 146880 147420 148512 148806 149175 151200 151632 153530 154224 154700 157248 157950 159120 159435 160616 160650 161109 163296 163800 165240 165340 167076 168480 170064 170100 171360 173502 176800 176904 177150 179010 180693 181440 183600 184236 184275 185640 187200 188960 189540 190400 190944 191322 192780 194400 196560 198288 198408 198900 200770 202176 204120 205632 206550 206675 208845 210600 212160 212580 214200 214812 214942 218400 220320 221130 222768 223209 226752 226800 230295 231336 232050 233280 235872 236200 236925 238680 240924 240975 244800 245648 245700 247520 247860 248010 250614 252720 255096 255150 257040 261001 262080 264384 264544 265200 265356 265725 268515 272160 275400 276354 278460 280800 281078 283440 285600 286416 286983 289170 291600 294840 297024 297612 298350 301155 302400 303264 307060 308448 309400 309825 315900 318240 318870 321232 321300 322218 322413 326592 327600 330480 330680 331695 334152 336960 340128 340200 342720 347004 348075 353600 353808 354300 358020 361386 367200 368472 368550 371280 372015 375921 377920 379080 381888 382644 383825 385560 388800 393120 396576 396816 397800 401540 408240 413100 413350 414531 417690 421200 421617 425160 428400 429624 429884 433755 436800 440640 442260 445536 446418 447525 453600 460590 462672 464100 471744 472400 473850 477360 478305 481848 481950 491296 491400 495040 495720 496020 501228 501925 505440 510192 510300 514080 522002 529088 530400 530712 531450 537030 537355 542079 544320 550800 552708 552825 556920 561600 562156 566880 571200 572832 573966 578340 583200 589680 595224 596700 602310 606528 614120 616896 618800 619650 620025 626535 631800 636480 637740 642464 642600 644436 644826 655200 660960 661360 663390 668304 669627 680256 680400 690885 694008 696150 702695 707616 708600 716040 722772 722925 734400 736944 737100 742560 744030 751842 758160 765288 767650 771120 783003 786240 793152 793632 795600 797175 803080 805545 816480 826200 826700 829062 835380 842400 843234 850320 856800 859248 859768 860949 867510 884520 891072 892836 895050 903465 907200 921180 925344 928200 944800 947700 954720 956610 963696 963900 967239 982592 982800 991440 992040 1002456 1003850 1010880 1020384 1020600 1028160 1044004 1044225 1060800 1061424 1062900 1074060 1074710 1084158 1101600 1105416 1105650 1113840 1116045 1124312 1127763 1133760 1145664 1147932 1151475 1156680 1166400 1179360 1190448 1193400 1204620 1228240 1237600 1239300 1240050 1243593 1253070 1263600 1264851 1275480 1284928 1285200 1288872 1289652 1305005 1310400 1321920 1322720 1326780 1336608 1339254 1342575 1360800 1381770 1388016 1392300 1405390 1415232 1417200 1432080 1434915 1445544 1445850 1473888 1474200 1485120 1488060 1503684 1505775 1516320 1530576 1535300 1542240 1566006 1587264 1591200 1594350 1606160 1611090 1612065 1626237 1632960 1652400 1653400 1658124 1658475 1670760 1684800 1686468 1700640 1713600 1718496 1719536 1721898 1735020 1769040 1785672 1790100 1806930 1827007 1842360 1850688 1856400 1860075 1879605 1889600 1895400 1909440 1913220 1927392 1927800 1934478 1965600 1982880 1984080 2004912 2007700 2008881 2040768 2041200 2072655 2088008 2088450 2108085 2122848 2125800 2148120 2149420 2168316 2168775 2203200 2210832 2211300 2227680 2232090 2248624 2255526 2295864 2302950 2313360 2349009 2358720 2380896 2386800 2391525 2409240 2456480 2475200 2478600 2480100 2487186 2506140 2527200 2529702 2550960 2570400 2577744 2579304 2610010 2645440 2653560 2673216 2678508 2685150 2686775 2710395 2721600 2763540 2776032 2784600 2810780 2834400 2864160 2869830 2891088 2891700 2901717 2947776 2948400 2976120 3007368 3011550 3032640 3061152 3070600 3084480 3132012 3132675 3182400 3188700 3212320 3222180 3224130 3252474 3304800 3306800 3316248 3316950 3341520 3348135 3372936 3401280 3436992 3439072 3443796 3454425 3470040 3513475 3538080 3571344 3580200 3613860 3654014 3684720 3712800 3720150 3730779 3759210 3790800 3794553 3826440 3854784 3855600 3868956 3915015 3931200 3965760 3968160 4009824 4015400 4017762 4027725 4082400 4145310 4176016 4176900 4216170 4245696 4251600 4296240 4298840 4304745 4336632 4337550 4421664 4422600 4455360 4464180 4497248 4511052 4517325 4591728 4605900 4626720 4698018 4761792 4773600 4783050 4818480 4836195 4878711 4912960 4957200 4960200 4974372 5012280 5054400 5059404 5101920 5140800 5155488 5158608 5220020 5307120 5357016 5370300 5373550 5420790 5481021 5527080 5552064 5569200 5580225 5621560 5638815 5668800 5728320 5739660 5782176 5783400 5803434 5896800 5952240 6014736 6023100 6026643 6122304 6141200 6217965 6264024 6265350 6324255 6377400 6424640 6444360 6448260 6504948 6525025 6609600 6613600 6632496 6633900 6683040 6696270 6745872 6878144 6887592 6908850 6940080 7026950 7047027 7076160 7142688 7160400 7174575 7227720 7308028 7369440 7425600 7440300 7461558 7518420 7581600 7589106 7652880 7711200 7737912 7830030 7936320 8019648 8030800 8035524 8055450 8060325 8131185 8164800 8290620 8352032 8353800 8432340 8503200 8592480 8597680 8609490 8673264 8675100 8705151 8843328 8845200 8928360 8994496 9022104 9034650 9135035 9183456 9211800 9253440 9396036 9398025 9547200 9566100 9636960 9672390 9757422 9914400 9920400 9948744 10024560 10044405 10118808 10203840 10310976 10317216 10363275 10440040 10540425 10614240 10714032 10740600 10747100 10841580 10962042 11054160 11138400 11160450 11192337 11243120 11277630 11383659 11479320 11564352 11566800 11606868 11745045 11793600 11904480 12029472 12046200 12053286 12282400 12435930 12528048 12530700 12648510 12754800 12888720 12896520 13009896 13050050 13227200 13264992 13267800 13366080 13392540 13491744 13551975 13775184 13817700 13880160 14053900 14094054 14285376 14320800 14349150 14455440 14508585 14616056 14636133 14738880 14880600 14923116 15036840 15163200 15178212 15305760 15422400 15475824 15660060 16061600 16071048 16110900 16120650 16262370 16443063 16581240 16704064 16707600 16740675 16864680 17006400 17184960 17195360 17218980 17346528 17350200 17410302 17690400 17856720 18044208 18069300 18270070 18366912 18423600 18653895 18792072 18796050 18972765 19132200 19273920 19344780 19514844 19575075 19828800 19840800 19897488 20049120 20088810 20237616 20634432 20726550 20880080 21080850 21141081 21228480 21428064 21481200 21494200 21523725 21683160 21924084 22108320 22276800 22320900 22384674 22486240 22555260 22767318 22958640 23133600 23213736 23490090 23808960 24058944 24092400 24106572 24180975 24393555 24564800 24871860 25056096 25061400 25297020 25509600 25777440 25793040 26019792 26100100 26115453 26529984 26535600 26785080 26983488 27103950 27405105 27550368 27635400 27760320 28107800 28188108 28194075 28641600 28698300 28910880 29017170 29232112 29272266 29761200 29846232 30073680 30133215 30356424 30611520 30951648 31089825 31320120 31621275 32123200 32142096 32221800 32241300 32524740 32886126 33162480 33415200 33481350 33729360 34150977 34390720 34437960 34693056 34700400 34820604 35235135 35380800 35713440 36088416 36138600 36540140 36847200 37307790 37584144 37592100 37945530 38264400 38689560 39029688 39150150 39681600 39794976 40098240 40177620 40475232 40655925 41453100 41760160 42161700 42282162 42856128 42962400 42988400 43047450 43366320 43525755 43848168 44216640 44641800 44769348 44972480 45110520 45534636 45675175 45917280 46267200 46427472 46980180 48184800 48213144 48361950 48787110 49329189 49743720 50112192 50122800 50222025 50594040 51019200 51554880 51586080 52039584 52200200 52230906 53071200 53570160 54207900 54810210 55100736 55270800 55961685 56215600 56376216 56388150 56918295 57396600 57821760 58034340 58464224 58544532 58725225 59522400 59692464 60147360 60266430 60712848 61903296 62179650 62640240 63242550 63423243 64284192 64443600 64482600 65049480 65772252 66324960 66830400 66962700 67458720 68301954 68875920 69400800 69641208 70470270 71426880 72176832 72277200 72542925 73080280 73180665 73694400 74615580 75168288 75184200 75891060 76528800 77379120 78059376 78300300 78346359 79589952 80355240 80950464 81311850 82215315 82906200 83520320 84323400 84564324 85924800 85976800 86094900 86732640 87051510 87696336 89283600 89538696 90221040 91069272 91350350 91834560 92854944 93269475 93960360 94863825 96369600 96426288 96723900 97574220 98658378 99487440 100245600 100444050 101188080 102452931 103172160 104079168 104400400 104461812 105705405 106142400 107140320 108415800 109620420 110541600 111923370 112431200 112752432 112776300 113836590 114793200 116068680 116928448 117089064 117450450 119044800 119384928 120294720 120532860 121425696 121967775 124359300 125280480 126485100 126846486 128568384 128887200 128965200 130098960 130577265 131544504 132649920 133925400 134917440 136603908 137025525 137751840 138801600 139282416 140940540 144554400 145085850 146160560 146361330 147987567 149231160 150336576 150368400 150666075 151782120 153057600 154758240 156118752 156600600 156692718 160710480 162623700 164430630 165812400 168646800 169128648 170754885 171953600 172189800 173465280 174103020 175392672 176175675 178567200 179077392 180442080 182138544 182700700 185709888 186538950 187920720 189727650 190269729 192852576 193447800 195148440 197316756 198974880 200491200 200888100 202376160 204905862 208800800 208923624 211410810 214280640 216831600 217628775 219240840 221083200 223846740 224862400 225504864 225552600 227673180 229586400 232137360 234178128 234900900 238769856 241065720 242851392 243935550 246645945 248718600 250560960 252970200 253692972 257774400 257930400 260197920 261154530 263089008 267850800 273207816 274051050 275503680 278564832 279808425 281881080 284591475 289108800 290171700 292321120 292722660 295975134 298462320 300736800 301332150 303564240 309516480 312237504 313201200 313385436 317116215 321420960 325247400 328861260 331624800 337293600 338257296 341509770 344379600 348206040 350785344 352351350 357134400 358154784 360884160 364277088 365401400 365903325 373077900 375841440 379455300 380539458 385705152 386895600 390296880 391731795 394633512 397949760 401776200 404752320 409811724 411076575 417601600 417847248 422821620 433663200 435257550 438481680 443962701 447693480 451009728 451105200 455346360 459172800 464274720 468356256 469801800 482131440 487871100 493291890 497437200 505940400 507385944 512264655 515860800 520395840 522309060 526178016 528527025 535701600 546415632 548102100 557129664 559616850 563762160 569182950 580343400 584642240 585445320 591950268 596924640 601473600 602664300 607128480 626402400 626770872 634232430 642841920 650494800 652886325 657722520 663249600 674587200 676514592 683019540 688759200 696412080 704702700 716309568 728554176 730802800 731806650 739937835 746155800 751682880 758910600 761078916 773791200 780593760 783463590 789267024 803552400 819623448 822153150 835694496 845643240 853774425 867326400 870515100 876963360 887925402 895386960 902210400 910692720 928549440 936712512 939603600 951348645 964262880 975742200 986583780 994874400 1011880800 1014771888 1024529310 1044618120 1052356032 1057054050 1071403200 1092831264 1096204200 1119233700 1127524320 1138365900 1160686800 1170890640 1183900536 1193849280 1205328600 1214256960 1233229725 1252804800 1253541744 1268464860 1300989600 1305772650 1315445040 1331888103 1353029184 1366039080 1377518400 1392824160 1409405400 1461605600 1463613300 1479875670 1492311600 1517821200 1522157832 1547582400 1561187520 1566927180 1578534048 1585581075 1607104800 1639246896 1644306300 1671388992 1691286480 1707548850 1741030200 1753926720 1775850804 1790773920 1804420800 1821385440 1879207200 1902697290 1928525760 1951484400 1958658975 1973167560 1989748800 2023761600 2029543776 2049058620 2089236240 2114108100 2185662528 2192408400 2219813505 2238467400 2255048640 2276731800 2321373600 2341781280 2367801072 2410657200 2466459450 2507083488 2536929720 2561323275 2601979200 2611545300 2630890080 2663776206 2732078160 2785648320 2818810800 2923211200 2927226600 2959751340 2984623200 3035642400 3044315664 3133854360 3157068096 3171162150 3214209600 3278493792 3288612600 3382572960 3415097700 3482060400 3551701608 3581547840 3642770880 3699689175 3758414400 3805394580 3902968800 3917317950 3946335120 4059087552 4098117240 4178472480 4228216200 4384816800 4439627010 4476934800 4553463600 4642747200 4683562560 4735602144 4756743225 4821314400 4932918900 5014166976 5073859440 5122646550 5223090600 5261780160 5327552412 5464156320 5637621600 5854453200 5919502680 5969246400 6071284800 6088631328 6267708720 6342324300 6556987584 6577225200 6659440515 6765145920 6830195400 6964120800 7103403216 7399378350 7610789160 7805937600 7834635900 7892670240 8196234480 8356944960 8456432400 8769633600 8879254020 8953869600 9106927200 9471204288 9513486450 9642628800 9865837800 10147718880 10245293100 10446181200 10655104824 10928312640 11099067525 11275243200 11708906400 11839005360 12177262656 12535417440 12684648600 13154450400 13318881030 13660390800 13928241600 14206806432 14798756700 15221578320 15669271800 15785340480 16392468960 16912864800 17758508040 17907739200 18213854400 19026972900 19731675600 20295437760 20490586200 20892362400 21310209648 22198135050 23417812800 23678010720 25070834880 25369297200 26308900800 26637762060 27320781600 28413612864 29597513400 30443156640 31338543600 32784937920 33297202575 33825729600 35517016080 38053945800 39463351200 40981172400 41784724800 42620419296 44396270100 47356021440 50738594400 53275524120 54641563200 59195026800 60886313280 62677087200 66594405150 71034032160 76107891600 78926702400 81962344800 85240838592 88792540200 101477188800 106551048240 118390053600 125354174400 133188810300 142068064320 152215783200 163924689600 177585080400 213102096480 236780107200 266377620600 304431566400 355170160800 426204192960 532755241200 710340321600 1065510482400 2131020964800
- Sum of all divisors σ(n): 10254006326592
- Sum of proper divisors (its aliquot sum) s(n): 8122985361792
- 2131020964800 is an abundant number, because the sum of its proper divisors (8122985361792) is greater than itself. Its abundance is 5991964396992
Bases of 2131020964800
- Binary: 111110000001010101011111101100011110000002
- Hexadecimal: 0x1F02ABF63C0
- Base-36: R6Z6V000
Squares and roots of 2131020964800
- 2131020964800 squared (21310209648002) is 4541250352417122839040000
- 2131020964800 cubed (21310209648003) is 9677499707406277124491135905792000000
-
The
square root of 2131020964800 is 1459801.6868054373 -
The
cube root of 2131020964800 is 12868.5389314047
Scales and comparisons
How big is 2131020964800?- 2,131,020,964,800 seconds is equal to 67,759 years, 45 weeks, 3 days, 12 hours.
-
To count from 1 to 2,131,020,964,800 would take you about one hundred sixty-nine thousand, three hundred ninety-nine 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 2131020964800 cubic inches would be around 1072.4 feet tall.
Recreational maths with 2131020964800
- 2131020964800 backwards is 0084690201312
- 2131020964800 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2131020964800's digits is 36
- 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 2131020964800 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 2131020964800 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/2131020964800/
Chicago style:
Numbermatics. 2024. "Number 2131020964800 - Facts about the integer". https://numbermatics.com/n/2131020964800/
The information we have on file for 2131020964800 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 2131020964800, math, Factors of 2131020964800, curriculum, school, college, exams, university, Prime factorization of 2131020964800, STEM, science, technology, engineering, physics, economics, calculator, two trillion, one hundred thirty-one billion, twenty million, nine hundred sixty-four thousand, eight hundred.