213940137510400
213,940,137,510,400 is an even composite number composed of eight prime numbers multiplied together.
213940137510400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 213940137510400:
29 × 52 × 7 × 17 × 31 × 41 × 59 × 1873
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 17 × 31 × 41 × 59 × 1873)See below for interesting mathematical facts about the number 213940137510400 from the Numbermatics database.
Names of 213940137510400
- Cardinal: 213940137510400 can be written as Two hundred thirteen trillion, nine hundred forty billion, one hundred thirty-seven million, five hundred ten thousand, four hundred.
Scientific notation
- Scientific notation: 2.139401375104 × 1014
Factors of 213940137510400
Divisors of 213940137510400
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 31 32 34 35 40 41 50 56 59 62 64 68 70 80 82 85 100 112 118 119 124 128 136 140 155 160 164 170 175 200 205 217 224 236 238 248 256 272 280 287 295 310 320 328 340 350 400 410 413 425 434 448 472 476 496 512 527 544 560 574 590 595 620 640 656 680 697 700 775 800 820 826 850 868 896 944 952 992 1003 1025 1054 1085 1088 1120 1148 1180 1190 1240 1271 1280 1312 1360 1394 1400 1435 1475 1550 1600 1640 1652 1700 1736 1792 1829 1873 1888 1904 1984 2006 2050 2065 2108 2170 2176 2240 2296 2360 2380 2419 2480 2542 2560 2624 2635 2720 2788 2800 2870 2950 2975 3100 3200 3280 3304 3400 3472 3485 3584 3658 3689 3746 3776 3808 3968 4012 4100 4130 4216 4340 4352 4480 4592 4720 4760 4838 4879 4960 5015 5084 5248 5270 5425 5440 5576 5600 5740 5900 5950 6200 6355 6400 6560 6608 6800 6944 6970 7021 7175 7316 7378 7492 7552 7616 7936 8024 8200 8260 8432 8680 8704 8897 8960 9145 9184 9365 9440 9520 9676 9758 9920 10030 10168 10325 10496 10540 10850 10880 11152 11200 11480 11800 11900 12095 12400 12710 12800 12803 13111 13120 13175 13216 13600 13888 13940 14042 14350 14632 14756 14984 15104 15232 15872 16048 16400 16520 16864 16933 17360 17425 17794 17920 18290 18368 18445 18730 18880 19040 19352 19516 19840 20060 20336 20650 20992 21080 21607 21700 21760 22304 22400 22960 23600 23800 24190 24395 24800 25075 25420 25606 26222 26240 26350 26432 27200 27776 27880 28084 28700 29264 29512 29968 30208 30464 31093 31775 31841 32096 32800 33040 33728 33866 34720 34850 35105 35588 36580 36736 36890 37460 37760 38080 38704 39032 39680 40120 40672 41123 41300 42160 43214 43400 43520 44485 44608 44800 45725 45920 46825 47200 47600 48380 48790 49600 50150 50840 51212 52444 52480 52700 52864 54400 55552 55760 56168 57400 58063 58528 59024 59936 60475 60928 62186 63550 63682 64015 64192 65555 65600 66080 67456 67732 69440 69700 70210 71176 73160 73472 73780 74920 74989 75520 76160 76793 77408 78064 79360 80240 81344 82246 82600 84320 84665 86428 86800 88970 89216 89600 91450 91840 92225 93650 94400 95200 96760 97580 99200 100300 101680 102424 104888 104960 105400 105728 108035 108800 110507 111104 111520 112336 114800 116126 117056 118048 119872 120950 121975 124372 127100 127364 128030 128384 131110 131200 132160 134912 135464 138880 139400 140420 142352 146320 146944 147560 149840 149978 151040 151249 152320 153586 154816 155465 156128 159205 160480 162688 164492 165200 168640 169330 172856 173600 175525 177940 178432 182900 183680 184450 187300 188800 190400 193520 195160 198400 200600 203360 204848 205615 209776 210800 211456 216070 217600 217651 221014 222425 222887 223040 224672 229600 232252 234112 236096 239744 241900 243950 248744 254200 254728 256060 256768 262220 262400 264320 269824 270928 277760 278800 280840 284704 287861 290315 292640 295120 299680 299956 302498 304640 307172 309632 310930 312256 318410 320075 320960 325376 327775 328984 330400 337280 338660 345712 347200 351050 355880 356864 365800 367360 368900 374600 374945 377600 380800 383965 387040 390320 396800 401200 406441 406720 409696 411230 419552 421600 423325 432140 435302 442028 444850 445774 446080 449344 459200 464504 468224 472192 479488 483800 487900 497488 508400 509456 512120 513536 524440 524800 524923 528640 537551 540175 541856 552535 555520 557600 561680 569408 575722 580630 585280 590240 599360 599912 604996 614344 619264 621860 624512 636820 640150 641920 650752 655550 657968 660800 674560 677320 691424 694400 702100 711760 731600 734720 737800 749200 749890 755200 756245 761600 767930 773549 774080 777325 780640 796025 802400 812882 813440 819392 822460 839104 843200 846650 864280 870604 884056 889700 891548 892160 898688 918400 929008 936448 944384 958976 967600 975800 987071 994976 1016800 1018912 1024240 1028075 1048880 1049846 1057280 1075102 1080350 1083712 1088255 1105070 1114435 1115200 1123360 1138816 1151444 1161260 1170560 1180480 1198720 1199824 1209992 1228688 1238528 1243720 1249024 1273640 1274813 1280300 1283840 1305481 1311100 1315936 1321600 1349120 1354640 1382848 1388800 1404200 1423520 1439305 1451575 1463200 1475600 1498400 1499780 1512490 1523200 1535860 1547098 1548160 1554650 1561280 1592050 1604800 1625764 1626880 1638784 1644920 1678208 1686400 1693300 1728560 1741208 1768112 1779400 1783096 1784320 1797376 1836800 1858016 1874725 1878619 1888768 1919825 1935200 1951600 1974142 1989952 2032205 2033600 2037824 2048480 2056150 2097760 2099692 2150204 2160700 2167424 2176510 2210140 2228870 2230400 2246720 2277632 2302888 2322520 2341120 2360960 2380583 2397440 2399648 2419984 2457376 2487440 2498048 2547280 2549626 2560600 2567680 2610962 2622200 2624615 2631872 2643200 2687755 2709280 2762675 2765696 2777600 2808400 2847040 2878610 2903150 2926400 2951200 2996800 2999560 3024980 3071720 3094196 3096320 3109300 3122560 3184100 3209600 3251528 3253760 3277568 3289840 3356416 3372800 3386600 3425717 3457120 3482416 3536224 3558800 3566192 3594752 3673600 3716032 3749450 3757238 3781225 3839650 3867745 3870400 3903200 3948284 3979904 4064410 4067200 4075648 4096960 4112300 4195520 4199384 4300408 4321400 4334848 4353020 4420280 4457740 4460800 4493440 4530787 4555264 4605776 4645040 4682240 4721920 4761166 4794880 4799296 4839968 4914752 4935355 4974880 5094560 5099252 5121200 5221924 5244400 5249230 5263744 5286400 5375510 5418560 5441275 5525350 5531392 5572175 5616800 5694080 5757220 5806300 5852800 5902400 5993600 5999120 6049960 6143440 6188392 6192640 6218600 6245120 6368200 6374065 6419200 6503056 6527405 6555136 6579680 6712832 6745600 6773200 6851434 6909497 6914240 6964832 7072448 7117600 7132384 7196525 7432064 7498900 7514476 7562450 7679300 7735490 7740800 7806400 7896568 7959808 8128820 8134400 8151296 8193920 8224600 8391040 8398768 8600816 8642800 8669696 8706040 8840560 8915480 8921600 8923691 8986880 9061574 9138367 9211552 9290080 9393095 9443840 9522332 9598592 9679936 9829504 9870710 9949760 10161025 10189120 10198504 10242400 10443848 10488800 10498460 10527488 10751020 10837120 10882550 11050700 11062784 11144350 11233600 11388160 11514440 11612600 11705600 11804800 11902915 11987200 11998240 12099920 12286880 12376784 12437200 12490240 12736400 12748130 12838400 13006112 13054810 13123075 13150333 13159360 13438775 13546400 13702868 13818994 13828480 13929664 14144896 14235200 14264768 14393050 14864128 14997800 15028952 15124900 15358600 15470980 15481600 15612800 15793136 15919616 16257640 16268800 16302592 16387840 16449200 16664081 16782080 16797536 17128585 17201632 17285600 17412080 17681120 17830960 17847382 17973760 18123148 18276734 18423104 18580160 18786190 19044664 19197184 19338725 19359872 19659008 19741420 19899520 20322050 20378240 20397008 20484800 20887696 20977600 20996920 21054976 21502040 21674240 21765100 22101400 22288700 22467200 22653935 22776320 23028880 23225200 23411200 23609600 23805830 23974400 23980019 23996480 24199840 24573760 24676775 24753568 24874400 25472800 25496260 26012224 26109620 26246150 26300666 26318720 26877550 27092800 27405736 27637988 27656960 27859328 28289792 28470400 28529536 28786100 29728256 29995600 30057904 30249800 30717200 30941960 30963200 31225600 31586272 31715509 31870325 32515280 32637025 32775680 32898400 33328162 33564160 33595072 34257170 34403264 34547485 34571200 34824160 35362240 35661920 35694764 36246296 36553468 36846208 37160320 37572380 38089328 38394368 38677450 38719744 39318016 39482840 39799040 40469911 40644100 40756480 40794016 40969600 41775392 41955200 41993840 43004080 43348480 43530200 44202800 44577400 44618455 44934400 45307870 45691835 46057760 46450400 46965475 47219200 47611660 47960038 47992960 48399680 49147520 49353550 49507136 49748800 50945600 50992520 52024448 52219240 52492300 52601332 52637440 53755100 54185600 54811472 55275976 55313920 55718656 56579584 56940800 57059072 57572200 58237189 59514575 59991200 60115808 60499600 61434400 61883920 62451200 63172544 63431018 63740650 65030560 65274050 65751665 65796800 66656324 67190144 68514340 68806528 69094970 69142400 69648320 70724480 71323840 71389528 72492592 73106936 73692416 74320640 75144760 76178656 77023379 77354900 77439488 78965680 79598080 80939822 81288200 81512960 81588032 81939200 83320405 83550784 83910400 83987680 85642925 86008160 87060400 88405600 89154800 89236910 89868800 90615740 91383670 92115520 92900800 93930950 95223320 95920076 95985920 96799360 98295040 98707100 99014272 99497600 101891200 101985040 104048896 104438480 104984600 105202664 105274880 107510200 108371200 109622944 110551952 111437312 113269675 113881600 114118144 115144400 116474378 119029150 119900095 119982400 120231616 120999200 122868800 123767840 126345088 126862036 127481300 130061120 130548100 131503330 131593600 133312648 134380288 137028680 137613056 138189940 138284800 139296640 140454397 141448960 142647680 142779056 144985184 146213872 147384832 148641280 150289520 152357312 154046758 154709800 157931360 158577545 161879644 162576400 163176064 163878400 166640810 167101568 167820800 167975360 171285850 172016320 172737425 174120800 176811200 178309600 178473820 181231480 182767340 184231040 185801600 187861900 190446640 191840152 191971840 193598720 196590080 197414200 198028544 198995200 202349555 203782400 203970080 208097792 208876960 209969200 210405328 215020400 216742400 219245888 221103904 223092275 226539350 228459175 230288800 232948756 238058300 239800190 239964800 240463232 241998400 245737600 247535680 252690176 253724072 254962600 260122240 261096200 263006660 263187200 266625296 268760576 274057360 275226112 276379880 276569600 278593280 280908794 282897920 283289377 285295360 285558112 289970368 291185945 292427744 300579040 304714624 308093516 309419600 315862720 317155090 323759288 325152800 326352128 328758325 333281620 334203136 335950720 342571700 344032640 345474850 348241600 353622400 356619200 356947640 362462960 365534680 368462080 371603200 375723800 380893280 383680304 385116895 387197440 394828400 396057088 397990400 404699110 407564800 407660323 407940160 416602025 417753920 419938400 420810656 430040800 438491776 442207808 446184550 453078700 456918350 460577600 465897512 476116600 479600380 479929600 480926464 483996800 491475200 495071360 505380352 507448144 509925200 520244480 522192400 526013320 526374400 533250592 539163653 548114720 552759760 557186560 561817588 566578754 570590720 571116224 579940736 582371890 584855488 599500475 601158080 609429248 616187032 618839200 631725440 634310180 647518576 650305600 652704256 657516650 666563240 668406272 671901440 685143400 688065280 690949700 696483200 702271985 707244800 713238400 713895280 724925920 731069360 736924160 743206400 751447600 761786560 767360608 770233790 789656800 792887725 809398220 815320646 815880320 833204050 835507840 839876800 841621312 860081600 876983552 884415616 892369100 906157400 913836700 921155200 931795024 952233200 959200760 959859200 961852928 967993600 982950400 983180779 990142720 1011747775 1014896288 1019850400 1040488960 1044384800 1052026640 1066501184 1078327306 1096229440 1105519520 1123635176 1133157508 1142232448 1159881472 1164743780 1169710976 1199000950 1202316160 1218858496 1232374064 1237678400 1263450880 1268620360 1295037152 1300611200 1315033300 1333126480 1343802880 1370286800 1376130560 1381899400 1392966400 1404543970 1414489600 1416446885 1426476800 1427790560 1449851840 1455929725 1462138720 1502895200 1523573120 1534721216 1540467580 1579313600 1585775450 1618796440 1630641292 1631760640 1666408100 1671015680 1679753600 1683242624 1720163200 1753967104 1768831232 1784738200 1812314800 1827673400 1842310400 1863590048 1904466400 1918401520 1925584475 1935987200 1966361558 1980285440 2023495550 2029792576 2038301615 2039700800 2088769600 2104053280 2133002368 2156654612 2192458880 2211039040 2247270352 2266315016 2284464896 2319762944 2329487560 2339421952 2387724749 2398001900 2404632320 2464748128 2475356800 2526901760 2537240720 2590074304 2601222400 2630066600 2666252960 2695818265 2740573600 2763798800 2785932800 2809087940 2832893770 2852953600 2855581120 2899703680 2911859450 2924277440 3005790400 3047146240 3069442432 3080935160 3158627200 3171550900 3237592880 3261282584 3263521280 3332816200 3342031360 3359507200 3366485248 3440326400 3511359925 3537662464 3569476400 3624629600 3655346800 3684620800 3727180096 3808932800 3836803040 3851168950 3932723116 4046991100 4059585152 4076603230 4079401600 4177539200 4208106560 4266004736 4313309224 4384917760 4422078080 4494540704 4532630032 4568929792 4658975120 4678843904 4775449498 4796003800 4809264640 4915903895 4929496256 4950713600 5074481440 5180148608 5202444800 5260133200 5332505920 5391636530 5481147200 5527597600 5618175880 5665787540 5711162240 5799407360 5823718900 5848554880 6011580800 6094292480 6138884864 6161870320 6317254400 6343101800 6475185760 6522565168 6665632400 6719014400 6732970496 6880652800 7022719850 7082234425 7138952800 7249259200 7310693600 7454360192 7617865600 7673606080 7702337900 7865446232 8093982200 8119170304 8153206460 8158803200 8355078400 8416213120 8532009472 8626618448 8769835520 8844156160 8989081408 9065260064 9317950240 9550898996 9592007600 9831807790 9858992512 9901427200 10148962880 10191508075 10360297216 10520266400 10665011840 10783273060 10962294400 11055195200 11236351760 11331575080 11422324480 11598814720 11647437800 11697109760 11938623745 12023161600 12277769728 12323740640 12634508800 12686203600 12950371520 13045130336 13331264800 13479091325 14045439700 14164468850 14277905600 14498518400 14621387200 14908720384 15235731200 15347212160 15404675800 15730892464 16187964400 16238340608 16306412920 16317606400 16710156800 16714073243 16832426240 17253236896 17688312320 17978162816 18130520128 18635900480 19101797992 19184015200 19663615580 19717985024 20297925760 20383016150 20720594432 21040532800 21330023680 21566546120 21924588800 22110390400 22472703520 22663150160 22844648960 23294875600 23394219520 23877247490 24046323200 24579519475 24647481280 25372407200 25900743040 26090260672 26662529600 26958182650 28090879400 28328937700 28555811200 28997036800 29242774400 29817440768 30471462400 30694424320 30809351600 31461784928 32375928800 32612825840 33428146486 33664852480 34506473792 35956325632 36261040256 37271800960 38203595984 38368030400 39327231160 39435970048 40595851520 40766032300 42081065600 42660047360 43133092240 43849177600 44220780800 44945407040 45326300320 46589751200 47754494980 49159038950 49294962560 50744814400 51801486080 52180521344 53325059200 53916365300 56181758800 56657875400 57111622400 57994073600 58485548800 59693118725 61388848640 61618703200 62923569856 64751857600 65225651680 66856292972 69012947584 71912651264 72522080512 74543601920 76407191968 76736060800 78654462320 81191703040 81532064600 83570366215 84162131200 86266184480 88441561600 89890814080 90652600640 93179502400 95508989960 98318077900 98589925120 101489628800 103602972160 104361042688 106650118400 107832730600 112363517600 113315750800 114223244800 116971097600 119386237450 123237406400 125847139712 129503715200 130451303360 133712585944 138025895168 145044161024 149087203840 152814383936 153472121600 157308924640 163064129200 167140732430 168324262400 172532368960 179781628160 181305201280 186359004800 191017979920 196636155800 197179850240 202979257600 208722085376 213300236800 215665461200 224727035200 226631501600 238772474900 246474812800 251694279424 259007430400 260902606720 267425171888 276051790336 305628767872 306944243200 314617849280 326128258400 334281464860 345064737920 359563256320 362610402560 372718009600 382035959840 393272311600 405958515200 417851831075 431330922400 449454070400 453263003200 477544949800 492949625600 503388558848 518014860800 521805213440 534850343776 611257535744 629235698560 652256516800 668562929720 690129475840 725220805120 745436019200 764071919680 786544623200 835703662150 862661844800 898908140800 906526006400 955089899600 985899251200 1043610426880 1069700687552 1222515071488 1258471397120 1304513033600 1337125859440 1380258951680 1528143839360 1573089246400 1671407324300 1725323689600 1797816281600 1813052012800 1910179799200 2139401375104 2516942794240 2609026067200 2674251718880 3056287678720 3146178492800 3342814648600 3450647379200 3626104025600 3820359598400 4278802750208 5218052134400 5348503437760 6112575357440 6292356985600 6685629297200 6901294758400 7640719196800 8557605500416 10697006875520 12584713971200 13371258594400 15281438393600 21394013751040 26742517188800 30562876787200 42788027502080 53485034377600 106970068755200 213940137510400
- Sum of all divisors σ(n): 690112549969920
- Sum of proper divisors (its aliquot sum) s(n): 476172412459520
- 213940137510400 is an abundant number, because the sum of its proper divisors (476172412459520) is greater than itself. Its abundance is 262232274949120
Bases of 213940137510400
- Binary: 1100001010010011110100011110011001000110000000002
- Hexadecimal: 0xC293D1E64600
- Base-36: 23U2QQ3PJ4
Squares and roots of 213940137510400
- 213940137510400 squared (2139401375104002) is 45770382437968861110108160000
- 213940137510400 cubed (2139401375104003) is 9792121912682655343969818545817124864000000
-
The
square root of 213940137510400 is 14626692.6374488365 -
The
cube root of 213940137510400 is 59808.6624728149
Scales and comparisons
How big is 213940137510400?- 213,940,137,510,400 seconds is equal to 6,802,634 years, 31 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 213,940,137,510,400 would take you about seventeen million, six thousand, five 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 213940137510400 cubic inches would be around 4984.1 feet tall.
Recreational maths with 213940137510400
- 213940137510400 backwards is 004015731049312
- 213940137510400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 213940137510400's digits is 40
- More coming soon!
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"Number 213940137510400 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 213940137510400 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/213940137510400/
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The information we have on file for 213940137510400 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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