213121380614400
213,121,380,614,400 is an even composite number composed of seven prime numbers multiplied together.
213121380614400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 213121380614400:
28 × 33 × 52 × 53 × 97 × 127 × 1889
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 53 × 97 × 127 × 1889)See below for interesting mathematical facts about the number 213121380614400 from the Numbermatics database.
Names of 213121380614400
- Cardinal: 213121380614400 can be written as Two hundred thirteen trillion, one hundred twenty-one billion, three hundred eighty million, six hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 2.131213806144 × 1014
Factors of 213121380614400
Divisors of 213121380614400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 53 54 60 64 72 75 80 90 96 97 100 106 108 120 127 128 135 144 150 159 160 180 192 194 200 212 216 225 240 254 256 265 270 288 291 300 318 320 360 381 384 388 400 424 432 450 477 480 485 508 530 540 576 582 600 635 636 640 675 720 762 768 776 795 800 848 864 873 900 954 960 970 1016 1060 1080 1143 1152 1164 1200 1270 1272 1280 1325 1350 1431 1440 1455 1524 1552 1590 1600 1696 1728 1746 1800 1889 1905 1908 1920 1940 2032 2120 2160 2286 2304 2328 2385 2400 2425 2540 2544 2619 2650 2700 2862 2880 2910 3048 3104 3175 3180 3200 3392 3429 3456 3492 3600 3778 3810 3816 3840 3880 3975 4064 4240 4320 4365 4572 4656 4770 4800 4850 5080 5088 5141 5238 5300 5400 5667 5715 5724 5760 5820 6096 6208 6350 6360 6400 6731 6784 6858 6912 6984 7155 7200 7275 7556 7620 7632 7760 7950 8128 8480 8640 8730 9144 9312 9445 9525 9540 9600 9700 10160 10176 10282 10476 10600 10800 11334 11430 11448 11520 11640 11925 12192 12319 12416 12700 12720 13095 13462 13568 13716 13968 14310 14400 14550 15112 15240 15264 15423 15520 15900 16256 16960 17001 17145 17280 17460 18288 18624 18890 19050 19080 19200 19400 20193 20320 20352 20564 20952 21200 21600 21825 22668 22860 22896 23280 23850 24384 24638 24832 25400 25440 25705 26190 26924 27432 27936 28335 28575 28620 28800 29100 30224 30480 30528 30846 31040 31800 32512 33655 33920 34002 34290 34560 34920 35775 36576 36957 37248 37780 38100 38160 38800 40386 40640 40704 41128 41904 42400 43200 43650 45336 45720 45792 46269 46560 47225 47700 48768 49276 50800 50880 51003 51410 52380 53848 54864 55872 56670 57150 57240 57600 58200 60448 60579 60960 61056 61595 61692 62080 63600 65475 67310 67840 68004 68580 69840 71550 73152 73914 74496 75560 76200 76320 77115 77600 80772 81280 82256 83808 84800 85005 85725 86400 87300 90672 91440 91584 92538 93120 94450 95400 97536 98552 100117 100965 101600 101760 102006 102820 104760 107696 109728 110871 111744 113340 114300 114480 116400 120896 121158 121920 122112 123190 123384 124160 127200 128525 130950 134620 136008 137160 138807 139680 141675 143100 146304 147828 151120 152400 152640 154230 155200 161544 162560 164512 167616 168275 169600 170010 171450 172800 174600 181344 181737 182880 183168 183233 184785 185076 186240 188900 190800 197104 200234 201930 203200 203520 204012 205640 209520 215392 219456 221742 223488 226680 228600 228960 231345 232800 239903 241792 242316 243840 246380 246768 254400 255015 257050 261900 269240 272016 274320 277614 279360 283350 286200 292608 295656 300351 302240 302895 304800 305280 307975 308460 310400 323088 329024 332613 335232 336550 339200 340020 342900 349200 362688 363474 365760 366336 366466 369570 370152 372480 377800 381600 385575 394208 400468 403860 406400 408024 411280 419040 425025 430784 438912 443484 453360 457200 457920 462690 465600 479806 483584 484632 487680 492760 493536 500585 504825 508800 510030 514100 523800 538480 544032 548640 549699 554355 555228 558720 566700 572400 591312 600702 604480 605790 609600 610560 615950 616920 620800 646176 652907 658048 665226 670464 673100 680040 685800 694035 698400 719709 725376 726948 731520 732932 739140 740304 755600 763200 771150 788416 800936 807720 812800 816048 822560 838080 850050 861568 877824 886968 901053 906720 908685 914400 915840 916165 923925 925380 931200 959612 969264 985520 987072 1001170 1009650 1017600 1020060 1028200 1047600 1076960 1088064 1097280 1099398 1108710 1110456 1117440 1133400 1144800 1156725 1182624 1199515 1201404 1208960 1211580 1219200 1231900 1233840 1275075 1292352 1305814 1316096 1330452 1346200 1360080 1371600 1388070 1396800 1439418 1450752 1453896 1463040 1465864 1478280 1480608 1501755 1511200 1514475 1526400 1542300 1576832 1601872 1615440 1632096 1645120 1649097 1663065 1676160 1700100 1723136 1773936 1802106 1813440 1817370 1828800 1831680 1832330 1847850 1850760 1862400 1919224 1938528 1958721 1971040 1974144 2002340 2019300 2040120 2056400 2095200 2153920 2159127 2176128 2194560 2198796 2217420 2220912 2266800 2289600 2313450 2365248 2399030 2402808 2417920 2423160 2438400 2463800 2467680 2502925 2550150 2584704 2611628 2660904 2692400 2703159 2720160 2743200 2748495 2771775 2776140 2793600 2878836 2907792 2931728 2956560 2961216 3003510 3022400 3028950 3052800 3084600 3153664 3203744 3230880 3264192 3264535 3290240 3298194 3326130 3352320 3400200 3470175 3547872 3598545 3604212 3626880 3634740 3657600 3664660 3695700 3701520 3838448 3877056 3917442 3942080 3948288 4004680 4038600 4080240 4112800 4190400 4307840 4318254 4352256 4389120 4397592 4434840 4441824 4505265 4533600 4543425 4579200 4580825 4626900 4730496 4798060 4805616 4846320 4927600 4935360 4947291 5005850 5100300 5169408 5223256 5321808 5384800 5406318 5440320 5486400 5496990 5543550 5552280 5587200 5757672 5815584 5863456 5876163 5913120 5922432 5997575 6007020 6044800 6057900 6169200 6407488 6461760 6477381 6528384 6529070 6580480 6596388 6652260 6800400 6940350 7095744 7197090 7208424 7253760 7269480 7315200 7329320 7391400 7403040 7508775 7676896 7754112 7834884 7884160 8009360 8077200 8160480 8225600 8245485 8315325 8380800 8615680 8636508 8795184 8869680 8883648 9010530 9067200 9086850 9158400 9161650 9253800 9460992 9596120 9611232 9692640 9711349 9793605 9855200 9870720 9894582 10011700 10200600 10446512 10643616 10769600 10795635 10812636 10880640 10972800 10993980 11087100 11104560 11515344 11631168 11726912 11752326 11826240 11844864 11995150 12014040 12089600 12115800 12338400 12714859 12814976 12923520 12954762 13056768 13058140 13192776 13304520 13515795 13600800 13742475 13880700 14191488 14394180 14416848 14538960 14658640 14782800 14806080 15017550 15353792 15508224 15669768 15768320 16018720 16154400 16320960 16322675 16451200 16490970 16630650 16761600 17273016 17590368 17628489 17739360 17767296 17992725 18021060 18134400 18173700 18323300 18507600 19192240 19222464 19385280 19422698 19587210 19710400 19741440 19789164 20023400 20401200 20893024 21287232 21539200 21591270 21625272 21761280 21945600 21987960 22174200 22209120 22526325 23030688 23262336 23270591 23453824 23504652 23652480 23990300 24028080 24231600 24676800 24736455 25429718 25629952 25847040 25909524 26116280 26385552 26609040 27031590 27201600 27484950 27761400 28382976 28788360 28833696 29077920 29134047 29317280 29380815 29565600 29612160 30035100 30707584 31339536 32037440 32308800 32386905 32641920 32645350 32902400 32981940 33261300 34546032 35180736 35256978 35478720 35534592 35985450 36042120 36268800 36347400 36646600 37015200 38144577 38384480 38444928 38770560 38845396 39174420 39420800 39578328 40046800 40802400 41227425 41786048 42574464 43078400 43182540 43250544 43975920 44348400 44418240 45052650 46061376 46524672 46541182 46907648 47009304 47304960 47980600 48056160 48463200 48556745 48968025 49353600 49472910 50859436 51819048 52232560 52771104 53218080 53978175 54063180 54403200 54969900 55522800 57576720 57667392 58155840 58268094 58634560 58761630 59131200 59224320 60070200 61415168 62679072 63574295 64074880 64617600 64773810 65283840 65290700 65963880 66522600 67578975 69092064 69811773 70361472 70513956 70957440 71970900 72084240 72694800 73293200 74030400 76289154 76768960 76889856 77541120 77690792 78348840 78841600 79156656 80093600 81604800 82454850 83572096 85148928 86365080 86501088 87402141 87951840 88142445 88696800 88836480 90105300 92122752 93082364 94018608 95961200 96112320 96926400 97113490 97936050 98707200 98945820 101718872 103638096 104465120 105542208 106436160 107956350 108126360 108806400 109939800 111045600 114433731 115153440 115334784 116311680 116352955 116536188 117269120 117523260 118262400 120140400 123682275 125358144 127148590 128149760 129235200 129547620 130581400 131927760 133045200 135157950 138184128 139623546 140722944 141027912 141914880 143941800 144168480 145389600 145670235 146586400 146904075 148060800 152578308 153537920 155381584 156697680 158313312 160187200 161934525 163209600 164909700 167144192 172730160 173002176 174804282 175903680 176284890 177393600 177672960 180210600 184245504 186164728 188037216 190722885 191922400 192224640 193852800 194226980 195872100 197891640 203437744 207276192 208930240 209435319 211084416 212872320 215912700 216252720 219879600 222091200 228867462 230306880 230669568 232623360 232705910 233072376 234538240 235046520 236524800 240280800 242783725 247364550 250716288 254297180 259095240 261162800 262206423 263855520 266090400 270315900 276368256 279247092 282055824 287883600 288336960 290779200 291340470 293172800 293808150 296121600 305156616 307075840 310763168 313395360 316626624 317871475 320374400 323869050 326419200 329819400 343301193 345460320 346004352 349058865 349608564 351807360 352569780 354787200 360421200 372329456 376074432 381445770 383844800 384449280 387705600 388453960 391744200 395783280 406875488 414552384 417860480 418870638 422168832 425744640 431825400 432505440 437010705 439759200 440712225 444182400 457734924 460613760 465411820 466144752 470093040 480561600 485567450 494729100 501432576 508594360 518190480 522325600 524412846 527711040 532180800 540631800 552736512 558494184 564111648 572168655 575767200 576673920 581558400 581764775 582680940 586345600 587616300 610313232 621526336 626790720 628305957 633253248 635742950 640748800 647738100 659638800 686602386 690920640 692008704 698117730 699217128 703614720 705139560 709574400 720842400 728351175 744658912 752148864 762891540 767689600 776907920 783488400 791566560 813750976 829104768 835720960 837741276 863650800 865010880 874021410 879518400 881424450 888364800 915469848 921227520 930823640 932289504 940186080 953614425 961123200 971134900 989458200 1017188720 1036380960 1044651200 1047176595 1048825692 1055422080 1064361600 1081263600 1116988368 1128223296 1144337310 1151534400 1153347840 1163116800 1163529550 1165361880 1172691200 1175232600 1220626464 1233341323 1243052672 1253581440 1256611914 1266506496 1271485900 1295476200 1311032115 1319277600 1373204772 1381841280 1396235460 1398434256 1410279120 1441684800 1456702350 1489317824 1504297728 1525783080 1535379200 1553815840 1566976800 1583133120 1627501952 1658209536 1675482552 1716505965 1727301600 1730021760 1745294325 1748042820 1759036800 1762848900 1830939696 1861647280 1864579008 1880372160 1907228850 1922246400 1942269800 1978916400 2034377440 2072761920 2089302400 2094353190 2097651384 2110844160 2128723200 2162527200 2185053525 2233976736 2256446592 2288674620 2303068800 2327059100 2330723760 2350465200 2441252928 2466682646 2486105344 2507162880 2513223828 2542971800 2590952400 2622064230 2638555200 2746409544 2763682560 2792470920 2796868512 2820558240 2860843275 2883369600 2913404700 2978635648 3051566160 3107631680 3133953600 3141529785 3166266240 3255003904 3350965104 3433011930 3454603200 3460043520 3490588650 3496085640 3518073600 3525697800 3661879392 3700023969 3723294560 3729158016 3760744320 3814457700 3884539600 3957832800 4068754880 4145523840 4178604800 4188706380 4195302768 4325054400 4370107050 4467953472 4512893184 4577349240 4606137600 4654118200 4661447520 4700930400 4882505856 4933365292 5026447656 5085943600 5181904800 5235882975 5244128460 5277110400 5492819088 5584941840 5593737024 5641116480 5721686550 5766739200 5826809400 5957271296 6103132320 6166706615 6215263360 6267907200 6283059570 6332532480 6555160575 6701930208 6866023860 6909206400 6981177300 6992171280 7051395600 7323758784 7400047938 7446589120 7458316032 7521488640 7628915400 7769079200 7915665600 8137509760 8291047680 8377412760 8390605536 8582529825 8650108800 8740214100 8935906944 9154698480 9308236400 9322895040 9401860800 9765011712 9866730584 10052895312 10171887200 10363809600 10471765950 10488256920 10554220800 10985638176 11100071907 11169883680 11187474048 11282232960 11443373100 11653618800 12206264640 12333413230 12430526720 12535814400 12566119140 13110321150 13403860416 13732047720 13818412800 13962354600 13984342560 14102791200 14647517568 14800095876 14893178240 15257830800 15538158400 15707648925 15831331200 16275019520 16754825520 16781211072 17165059650 17300217600 17480428200 17871813888 18309396960 18500119845 18616472800 18645790080 18803721600 19733461168 20105790624 20343774400 20727619200 20943531900 20976513840 21971276352 22200143814 22339767360 22374948096 22564465920 22886746200 23307237600 24412529280 24666826460 25132238280 26220642300 26807720832 27464095440 27924709200 27968685120 28205582400 29295035136 29600191752 29786356480 30515661600 30833533075 31076316800 31415297850 31662662400 33300215721 33509651040 33562422144 34330119300 34960856400 36618793920 37000239690 37232945600 37291580160 37607443200 39466922336 40211581248 40687548800 41455238400 41887063800 41953027680 43942552704 44400287628 44679534720 45773492400 46614475200 48825058560 49333652920 50264476560 52441284600 53615441664 54928190880 55500359535 55849418400 55937370240 56411164800 59200383504 61031323200 61667066150 62152633600 62830595700 66600431442 67019302080 67124844288 68660238600 69921712800 73237587840 74000479380 74465891200 78933844672 80423162496 81375097600 83774127600 83906055360 87885105408 88800575256 89359069440 91546984800 92500599225 93228950400 98667305840 100528953120 104882569200 109856381760 111000719070 111698836800 111874740480 112822329600 118400767008 122062646400 123334132300 125661191400 133200862884 134038604160 137320477200 139843425600 146475175680 148000958760 148931782400 157867689344 160846324992 166501078605 167548255200 167812110720 177601150512 183093969600 185001198450 186457900800 197334611680 201057906240 209765138400 219712763520 222001438140 223397673600 236801534016 244125292800 246668264600 251322382800 266401725768 268077208320 274640954400 277501797675 279686851200 296001917520 315735378688 333002157210 335096510400 335624221440 355202301024 366187939200 370002396900 394669223360 402115812480 419530276800 439425527040 444002876280 446795347200 473603068032 493336529200 502644765600 532803451536 549281908800 555003595350 559373702400 592003835040 666004314420 670193020800 710404602048 732375878400 740004793800 789338446720 804231624960 832505393025 839060553600 888005752560 947206136064 986673058400 1005289531200 1065606903072 1098563817600 1110007190700 1184007670080 1332008628840 1340386041600 1420809204096 1480009587600 1578676893440 1665010786050 1678121107200 1776011505120 1973346116800 2010579062400 2131213806144 2197127635200 2220014381400 2368015340160 2664017257680 2841618408192 2960019175200 3330021572100 3552023010240 3946692233600 4021158124800 4262427612288 4440028762800 4736030680320 5328034515360 5920038350400 6660043144200 7104046020480 7893384467200 8524855224576 8880057525600 10656069030720 11840076700800 13320086288400 14208092040960 17760115051200 21312138061440 23680153401600 26640172576800 35520230102400 42624276122880 53280345153600 71040460204800 106560690307200 213121380614400
- Sum of all divisors σ(n): 811211679129600
- Sum of proper divisors (its aliquot sum) s(n): 598090298515200
- 213121380614400 is an abundant number, because the sum of its proper divisors (598090298515200) is greater than itself. Its abundance is 384968917900800
Bases of 213121380614400
- Binary: 1100000111010101001100000010111110000001000000002
- Hexadecimal: 0xC1D5302F8100
- Base-36: 23JMLZDXC0
Squares and roots of 213121380614400
- 213121380614400 squared (2131213806144002) is 45420722874987952121487360000
- 213121380614400 cubed (2131213806144003) is 9680127167621491973897911599198633984000000
-
The
square root of 213121380614400 is 14598677.3583910677 -
The
cube root of 213121380614400 is 59732.2682736641
Scales and comparisons
How big is 213121380614400?- 213,121,380,614,400 seconds is equal to 6,776,600 years, 35 weeks, 1 day.
-
To count from 1 to 213,121,380,614,400 would take you about sixteen million, nine hundred forty-one thousand, five hundred one 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 213121380614400 cubic inches would be around 4977.7 feet tall.
Recreational maths with 213121380614400
- 213121380614400 backwards is 004416083121312
- 213121380614400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 213121380614400'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 213121380614400 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 213121380614400 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/213121380614400/
Chicago style:
Numbermatics. 2024. "Number 213121380614400 - Facts about the integer". https://numbermatics.com/n/213121380614400/
The information we have on file for 213121380614400 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 213121380614400, math, Factors of 213121380614400, curriculum, school, college, exams, university, Prime factorization of 213121380614400, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirteen trillion, one hundred twenty-one billion, three hundred eighty million, six hundred fourteen thousand, four hundred.