214308144000
214,308,144,000 is an even composite number composed of seven prime numbers multiplied together.
214308144000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 214308144000:
27 × 32 × 53 × 19 × 29 × 37 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 19 × 29 × 37 × 73)See below for interesting mathematical facts about the number 214308144000 from the Numbermatics database.
Names of 214308144000
- Cardinal: 214308144000 can be written as Two hundred fourteen billion, three hundred eight million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 2.14308144 × 1011
Factors of 214308144000
Divisors of 214308144000
- Number of divisors d(n): 1536
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 29 30 32 36 37 38 40 45 48 50 57 58 60 64 72 73 74 75 76 80 87 90 95 96 100 111 114 116 120 125 128 144 145 146 148 150 152 160 171 174 180 185 190 192 200 219 222 225 228 232 240 250 261 285 288 290 292 296 300 304 320 333 342 348 360 365 370 375 380 384 400 435 438 444 450 456 464 475 480 500 522 551 555 570 576 580 584 592 600 608 640 657 666 684 696 703 720 725 730 740 750 760 800 855 870 876 888 900 912 925 928 950 960 1000 1044 1073 1095 1102 1110 1125 1140 1152 1160 1168 1184 1200 1216 1305 1314 1332 1368 1387 1392 1406 1425 1440 1450 1460 1480 1500 1520 1600 1653 1665 1710 1740 1752 1776 1800 1824 1825 1850 1856 1900 1920 2000 2088 2109 2117 2146 2175 2190 2204 2220 2250 2280 2320 2336 2368 2375 2400 2432 2610 2628 2664 2701 2736 2755 2774 2775 2784 2812 2850 2880 2900 2920 2960 3000 3040 3200 3219 3285 3306 3330 3420 3480 3504 3515 3552 3600 3625 3648 3650 3700 3712 3800 4000 4161 4176 4218 4234 4275 4292 4350 4380 4408 4440 4500 4560 4625 4640 4672 4736 4750 4800 4959 5220 5256 5328 5365 5402 5472 5475 5510 5548 5550 5568 5624 5700 5760 5800 5840 5920 6000 6080 6327 6351 6438 6525 6570 6612 6660 6840 6935 6960 7008 7030 7104 7125 7200 7250 7296 7300 7400 7600 8000 8103 8265 8322 8325 8352 8436 8468 8550 8584 8700 8760 8816 8880 9000 9120 9125 9250 9280 9344 9500 9600 9657 9918 10440 10512 10545 10585 10656 10730 10804 10875 10944 10950 11020 11096 11100 11136 11248 11400 11600 11680 11840 12000 12160 12483 12654 12702 12876 13050 13140 13224 13320 13505 13680 13775 13870 13875 13920 14016 14060 14208 14250 14400 14500 14600 14800 15200 16000 16095 16206 16425 16530 16644 16650 16704 16872 16936 17100 17168 17400 17520 17575 17632 17760 18000 18240 18250 18500 18560 19000 19053 19314 19836 20387 20805 20880 21024 21090 21170 21312 21375 21460 21608 21750 21888 21900 22040 22192 22200 22496 22800 23200 23360 23680 24000 24309 24795 24966 25308 25404 25752 26100 26280 26448 26640 26825 27010 27360 27375 27550 27740 27750 27840 28032 28120 28500 28800 29000 29200 29600 30400 31635 31755 32190 32412 32625 32850 33060 33288 33300 33408 33744 33872 34200 34336 34675 34800 35040 35150 35264 35520 36000 36480 36500 37000 38000 38106 38628 39672 40223 40515 40774 41325 41610 41625 41760 42048 42180 42340 42624 42750 42920 43216 43500 43800 44080 44384 44400 44992 45600 46400 46720 48000 48285 48618 49590 49932 50616 50808 51319 51504 52200 52560 52725 52896 52925 53280 53650 54020 54720 54750 55100 55480 55500 55680 56240 57000 58000 58400 59200 60800 61161 62415 63270 63510 64380 64824 65250 65700 66120 66576 66600 67488 67525 67744 68400 68672 68875 69350 69600 70080 70300 70528 71040 72000 73000 74000 76000 76212 77256 78329 79344 80446 80475 81030 81548 82125 82650 83220 83250 83520 84096 84360 84680 85500 85840 86432 87000 87600 87875 88160 88768 88800 89984 91200 92800 95265 96570 97236 99180 99864 101232 101616 101935 102638 103008 104025 104400 105120 105450 105792 105850 106560 107300 108040 109440 109500 110200 110960 111000 112480 114000 116000 116800 118400 120669 121545 122322 123975 124830 126540 127020 128760 129648 130500 131400 132240 133152 133200 134125 134976 135050 135488 136800 137344 137750 138700 139200 140160 140600 144000 146000 148000 152000 152424 153957 154512 156658 158175 158688 158775 160892 160950 162060 163096 164250 165300 166440 166500 167040 168720 169360 171000 171680 172864 173375 174000 175200 175750 176320 177536 177600 182400 183483 190530 193140 194472 198360 199728 201115 202464 202575 203232 203870 205276 206016 206625 208050 208800 210240 210900 211584 211700 213120 214600 216080 219000 220400 221920 222000 224960 228000 232000 233600 234987 241338 241425 243090 244644 247950 249660 253080 254040 256595 257520 259296 261000 262800 263625 264480 264625 266304 266400 268250 269952 270100 270976 273600 275500 277400 278400 281200 292000 296000 304000 304848 305805 307914 309024 312075 313316 316350 317376 317550 321784 321900 324120 326192 328500 330600 332880 333000 337440 337625 338720 342000 343360 345728 346750 348000 350400 351500 352640 355200 362007 366966 381060 386280 388944 391645 396720 399456 402230 402375 404928 405150 406464 407740 410552 412032 413250 416100 417600 420480 421800 423400 429200 432160 438000 440800 443840 444000 449920 456000 461871 464000 469974 476325 482676 482850 486180 489288 495900 499320 506160 508080 509675 513190 515040 518592 520125 522000 525600 527250 528960 529250 532608 532800 536500 540200 547200 551000 554800 562400 584000 592000 603345 607725 609696 611610 615828 618048 619875 624150 626632 632700 634752 635100 643568 643800 648240 652384 657000 661200 665760 666000 674880 675250 677440 684000 686720 693500 696000 700800 703000 704961 724014 733932 762120 769785 772560 777888 783290 790875 793440 793875 798912 804460 804750 809856 810300 812928 815480 821104 826500 832200 835200 843600 846800 858400 864320 876000 881600 887680 888000 912000 917415 923742 939948 952650 965352 965700 972360 978576 991800 998640 1005575 1012320 1012875 1016160 1019350 1026380 1030080 1037184 1040250 1044000 1051200 1054500 1057920 1058500 1065600 1073000 1080400 1102000 1109600 1124800 1168000 1174935 1206690 1207125 1215450 1219392 1223220 1231656 1236096 1239750 1248300 1253264 1265400 1270200 1282975 1287136 1287600 1296480 1304768 1314000 1322400 1331520 1332000 1349760 1350500 1354880 1368000 1387000 1392000 1406000 1409922 1448028 1467864 1488251 1524240 1529025 1539570 1545120 1555776 1560375 1566580 1581750 1586880 1587750 1597824 1608920 1609500 1620600 1630960 1642208 1653000 1664400 1687200 1693600 1716800 1728640 1752000 1763200 1776000 1810035 1834830 1847484 1879896 1905300 1930704 1931400 1944720 1957152 1958225 1983600 1997280 2011150 2024640 2025750 2032320 2038700 2052760 2060160 2080500 2088000 2102400 2109000 2117000 2146000 2160800 2204000 2219200 2249600 2309355 2349870 2381625 2413380 2414250 2430900 2438784 2446440 2463312 2479500 2496600 2506528 2530800 2540400 2548375 2565950 2574272 2575200 2592960 2609536 2628000 2644800 2663040 2664000 2701000 2736000 2774000 2812000 2819844 2896056 2935728 2976502 3016725 3038625 3048480 3058050 3079140 3090240 3111552 3120750 3133160 3163500 3173760 3175500 3217840 3219000 3241200 3261920 3284416 3306000 3328800 3374400 3387200 3433600 3504000 3524805 3620070 3669660 3694968 3759792 3810600 3848925 3861408 3862800 3889440 3914304 3916450 3967200 3994560 4022300 4049280 4051500 4064640 4077400 4105520 4161000 4176000 4218000 4234000 4292000 4321600 4408000 4438400 4464753 4587075 4618710 4699740 4763250 4826760 4828500 4861800 4892880 4926624 4959000 4993200 5013056 5027875 5061600 5080800 5096750 5131900 5148544 5150400 5185920 5256000 5289600 5328000 5402000 5548000 5624000 5639688 5792112 5871456 5874675 5953004 6033450 6077250 6096960 6116100 6158280 6180480 6241500 6266320 6327000 6351000 6414875 6435680 6438000 6482400 6523840 6568832 6612000 6657600 6748800 6774400 7049610 7240140 7339320 7389936 7441255 7519584 7621200 7645125 7697850 7722816 7725600 7778880 7828608 7832900 7934400 7989120 8044600 8103000 8154800 8211040 8322000 8436000 8468000 8584000 8643200 8816000 8929506 9050175 9174150 9237420 9399480 9526500 9653520 9657000 9723600 9785760 9791125 9853248 9918000 9986400 10026112 10055750 10123200 10161600 10193500 10263800 10300800 10512000 10804000 11096000 11248000 11279376 11546775 11584224 11742912 11749350 11906008 12066900 12154500 12193920 12232200 12316560 12483000 12532640 12654000 12702000 12829750 12871360 12876000 12964800 13047680 13224000 13315200 13394259 14099220 14480280 14678640 14779872 14882510 15039168 15083625 15242400 15290250 15395700 15445632 15451200 15557760 15665800 15868800 16089200 16206000 16309600 16422080 16644000 16872000 16936000 17168000 17624025 17859012 18100350 18348300 18474840 18798960 19053000 19244625 19307040 19314000 19447200 19571520 19582250 19706496 19836000 19972800 20111500 20246400 20323200 20387000 20527600 21608000 22192000 22323765 22558752 22935375 23093550 23168448 23485824 23498700 23812016 24133800 24309000 24464400 24633120 24966000 25065280 25308000 25404000 25659500 25742720 25752000 25929600 26448000 26788518 28198440 28960560 29357280 29373375 29559744 29765020 30078336 30167250 30484800 30580500 30791400 30902400 31331600 32178400 32412000 32619200 32844160 33288000 33744000 33872000 35248050 35718024 36200700 36696600 36949680 37206275 37597920 38106000 38489250 38614080 38628000 38894400 39143040 39164500 39672000 39945600 40223000 40774000 41055200 43216000 44647530 45117504 45250875 45870750 46187100 46336896 46997400 47624032 48267600 48618000 48928800 49266240 49932000 50130560 50616000 50808000 51319000 51504000 53577036 56396880 57733875 57921120 58714560 58746750 59119488 59530040 60334500 60969600 61161000 61582800 62663200 64356800 64824000 65238400 66576000 66971295 70496100 71436048 72401400 73393200 73899360 74412550 75195840 76212000 76978500 77228160 77256000 77788800 78329000 79344000 80446000 81548000 82110400 88120125 89295060 90235008 90501750 91741500 92374200 93994800 95248064 96535200 97236000 97857600 98532480 99864000 101232000 101616000 102638000 107154072 111618825 112793760 115467750 115842240 117429120 117493500 119060080 120669000 122322000 123165600 125326400 128713600 129648000 133942590 140992200 142872096 144802800 146786400 147798720 148825100 150391680 152424000 153957000 154512000 156658000 160892000 163096000 164220800 176240250 178590120 181003500 183483000 184748400 186031375 187989600 190496128 193070400 194472000 195715200 199728000 205276000 214308144 223237650 225587520 230935500 231684480 234987000 238120160 241338000 244644000 246331200 250652800 267885180 281984400 285744192 289605600 293572800 295597440 297650200 304848000 307914000 313316000 321784000 326192000 334856475 352480500 357180240 362007000 366966000 369496800 372062750 375979200 386140800 388944000 410552000 428616288 446475300 451175040 461871000 469974000 476240320 482676000 489288000 492662400 535770360 558094125 563968800 571488384 579211200 587145600 595300400 615828000 626632000 643568000 669712950 704961000 714360480 724014000 733932000 738993600 744125500 751958400 821104000 857232576 892950600 923742000 939948000 952480640 965352000 978576000 1071540720 1116188250 1127937600 1158422400 1190600800 1231656000 1253264000 1339425900 1409922000 1428720960 1448028000 1467864000 1477987200 1488251000 1674282375 1714465152 1785901200 1847484000 1879896000 1930704000 2143081440 2232376500 2255875200 2381201600 2463312000 2678851800 2819844000 2857441920 2896056000 2935728000 2976502000 3348564750 3571802400 3694968000 3759792000 4286162880 4464753000 4762403200 5357703600 5639688000 5792112000 5953004000 6697129500 7143604800 7389936000 8572325760 8929506000 10715407200 11279376000 11906008000 13394259000 14287209600 17859012000 21430814400 23812016000 26788518000 35718024000 42861628800 53577036000 71436048000 107154072000 214308144000
- Sum of all divisors σ(n): 872518608000
- Sum of proper divisors (its aliquot sum) s(n): 658210464000
- 214308144000 is an abundant number, because the sum of its proper divisors (658210464000) is greater than itself. Its abundance is 443902320000
Bases of 214308144000
- Binary: 110001111001011100001011000011100000002
- Hexadecimal: 0x31E5C2C380
- Base-36: 2QG9JA80
Squares and roots of 214308144000
- 214308144000 squared (2143081440002) is 45927980584724736000000
- 214308144000 cubed (2143081440003) is 9842740276780392923049984000000000
-
The
square root of 214308144000 is 462934.2761127113 -
The
cube root of 214308144000 is 5984.2935873097
Scales and comparisons
How big is 214308144000?- 214,308,144,000 seconds is equal to 6,814 years, 17 weeks, 3 days, 8 hours.
-
To count from 1 to 214,308,144,000 would take you about thirteen thousand, six hundred twenty-eight 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 214308144000 cubic inches would be around 498.7 feet tall.
Recreational maths with 214308144000
- 214308144000 backwards is 000441803412
- The number of decimal digits it has is: 12
- The sum of 214308144000's digits is 27
- More coming soon!
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The information we have on file for 214308144000 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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