213743713128000
213,743,713,128,000 is an even composite number composed of seven prime numbers multiplied together.
213743713128000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 213743713128000:
26 × 3 × 53 × 112 × 192 × 31 × 6577
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 19 × 19 × 31 × 6577)See below for interesting mathematical facts about the number 213743713128000 from the Numbermatics database.
Names of 213743713128000
- Cardinal: 213743713128000 can be written as Two hundred thirteen trillion, seven hundred forty-three billion, seven hundred thirteen million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 2.13743713128 × 1014
Factors of 213743713128000
Divisors of 213743713128000
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 25 30 31 32 33 38 40 44 48 50 55 57 60 62 64 66 75 76 80 88 93 95 96 100 110 114 120 121 124 125 132 150 152 155 160 165 176 186 190 192 200 209 220 228 240 242 248 250 264 275 285 300 304 310 320 330 341 352 361 363 372 375 380 400 418 440 456 465 475 480 484 496 500 528 550 570 589 600 605 608 620 627 660 682 704 722 726 744 750 760 775 800 825 836 880 912 930 950 960 968 992 1000 1023 1045 1056 1083 1100 1140 1178 1200 1210 1216 1240 1254 1320 1364 1375 1425 1444 1452 1488 1500 1520 1550 1600 1650 1672 1705 1760 1767 1805 1815 1824 1860 1900 1936 1984 2000 2046 2090 2112 2166 2200 2280 2299 2325 2356 2375 2400 2420 2480 2508 2640 2728 2750 2850 2888 2904 2945 2976 3000 3025 3040 3100 3135 3300 3344 3410 3520 3534 3610 3630 3648 3720 3751 3800 3872 3875 3971 4000 4092 4125 4180 4332 4400 4560 4598 4650 4712 4750 4800 4840 4960 5016 5115 5225 5280 5415 5456 5500 5700 5776 5808 5890 5952 6000 6050 6080 6200 6270 6479 6577 6600 6688 6820 6897 7068 7125 7220 7260 7440 7502 7600 7744 7750 7942 8000 8184 8250 8360 8525 8664 8800 8835 9025 9075 9120 9196 9300 9424 9500 9680 9920 10032 10230 10450 10560 10830 10912 11000 11191 11253 11400 11495 11552 11616 11625 11780 11913 12000 12100 12400 12540 12958 13154 13200 13376 13640 13794 14136 14250 14440 14520 14725 14880 15004 15125 15200 15500 15675 15884 16368 16500 16720 17050 17328 17600 17670 18050 18150 18240 18392 18600 18755 18848 19000 19360 19437 19731 19855 20064 20460 20900 21660 21824 22000 22382 22506 22800 22990 23104 23232 23250 23560 23826 24000 24200 24800 25080 25575 25916 26125 26308 26400 27075 27280 27588 28272 28500 28880 29040 29450 29760 30008 30250 30400 31000 31350 31768 32395 32736 32885 33000 33440 33573 34100 34485 34656 35340 36100 36300 36784 37200 37510 37696 38000 38720 38874 39462 39710 40128 40920 41800 42625 43320 43681 44000 44175 44764 45012 45125 45375 45600 45980 46500 47120 47652 48400 49600 50160 51150 51832 52250 52616 52800 54150 54560 55176 55955 56265 56544 57000 57475 57760 58080 58900 59565 60016 60500 62000 62700 63536 64790 65472 65770 66000 66880 67146 68200 68970 69312 70680 71269 72200 72347 72600 73568 73625 74400 75020 76000 77748 78375 78924 79420 81840 83600 85250 86640 87362 88000 88350 89528 90024 90250 90750 91200 91960 93000 93775 94240 95304 96800 97185 98655 99275 100320 102300 103664 104500 105232 108300 109120 110352 111910 112530 113088 114000 114950 115520 116160 117800 119130 120032 121000 123101 124000 124963 125400 127072 127875 129580 131043 131540 132000 134292 135375 136400 137940 141360 142538 144400 144694 145200 147136 147250 148800 150040 152000 155496 156750 157848 158840 161975 163680 164425 167200 167865 170500 172425 173280 174724 176700 179056 180048 180500 181500 183920 186000 187550 188480 190608 193600 194370 197310 198550 200640 203887 204600 207328 209000 210464 213807 216600 217041 218405 220704 220875 223820 225060 228000 229900 235600 238260 240064 242000 246202 248000 249926 250800 254144 255750 259160 262086 263080 264000 268584 270750 272800 275880 279775 281325 282720 285076 287375 288800 289388 290400 294500 297825 300080 310992 313500 315696 317680 323950 327360 328850 334400 335730 341000 344850 346560 349448 353400 356345 358112 360096 361000 361735 363000 367840 369303 372000 374889 375100 381216 388740 394620 397100 407774 409200 414656 418000 420928 427614 433200 434082 436810 441408 441750 447640 450120 456000 459800 468875 471200 476520 484000 485925 492404 493275 496375 499852 501600 511500 518320 524172 526160 537168 541500 545600 551760 559550 562650 565440 570152 574750 577600 578776 580800 589000 595650 600160 611661 615505 621984 624815 627000 631392 635360 647900 655215 657700 671460 682000 689700 698896 706800 712690 716224 720192 722000 723470 726000 735680 738606 744000 749778 750200 762432 777480 789240 794200 795817 809875 815548 818400 822125 836000 839325 855228 862125 866400 868164 873620 883500 895280 900240 919600 937750 942400 953040 968000 971850 984808 986550 992750 999704 1003200 1019435 1023000 1036640 1048344 1052320 1069035 1074336 1083000 1085205 1092025 1103520 1119100 1125300 1140304 1149500 1157552 1178000 1191300 1200320 1223322 1231010 1243968 1249630 1254000 1262784 1270720 1295800 1310430 1315400 1342920 1354111 1364000 1374593 1379400 1397792 1398875 1406625 1413600 1425380 1444000 1446940 1452000 1477212 1489125 1499556 1500400 1554960 1578480 1588400 1591634 1619750 1631096 1636800 1644250 1672000 1678650 1710456 1724250 1732800 1736328 1747240 1767000 1781725 1790560 1800480 1808675 1839200 1846515 1874445 1875500 1906080 1943700 1969616 1973100 1985500 1999408 2038870 2046000 2073280 2096688 2104640 2138070 2148672 2166000 2170410 2184050 2207040 2238200 2242757 2250600 2280608 2299000 2315104 2356000 2374297 2382600 2387451 2429625 2446644 2462020 2466375 2499260 2508000 2591600 2620860 2630800 2685840 2708222 2728000 2749186 2758800 2795584 2797750 2813250 2827200 2850760 2888000 2893880 2904000 2954424 2978250 2999112 3000800 3058305 3077525 3109920 3124075 3156960 3176800 3183268 3239500 3262192 3276075 3288500 3357300 3420912 3448500 3472656 3494480 3534000 3563450 3581120 3600960 3617350 3678400 3693030 3748890 3751000 3812160 3873853 3887400 3939232 3946200 3971000 3979085 3998816 4062333 4077740 4092000 4123779 4193376 4196625 4276140 4332000 4340820 4368100 4476400 4485514 4501200 4561216 4598000 4630208 4712000 4748594 4765200 4774902 4859250 4893288 4924040 4932750 4998520 5016000 5097175 5183200 5241720 5261600 5345175 5371680 5416444 5426025 5460125 5498372 5517600 5595500 5626500 5701520 5787760 5908848 5956500 5998224 6001600 6116610 6155050 6219840 6248150 6313920 6353600 6366536 6479000 6524384 6552150 6577000 6714600 6728271 6770555 6841824 6872965 6897000 6945312 6988960 7068000 7122891 7126900 7234700 7386060 7497780 7502000 7747706 7774800 7878464 7892400 7942000 7958170 7997632 8124666 8155480 8184000 8247558 8386752 8393250 8552280 8664000 8681640 8736200 8908625 8952800 8971028 9002400 9043375 9196000 9232575 9372225 9497188 9530400 9549804 9718500 9786576 9848080 9865500 9997040 10194350 10366400 10483440 10523200 10690350 10743360 10832888 10852050 10920250 10996744 11035200 11191000 11213785 11253000 11403040 11575520 11621559 11817696 11871485 11913000 11937255 11996448 12233220 12310100 12496300 12733072 12958000 13048768 13104300 13154000 13429200 13456542 13541110 13683648 13745930 13794000 13890624 13977920 14136000 14245782 14253800 14469400 14772120 14995560 15004000 15120523 15291525 15387625 15495412 15549600 15620375 15784800 15884000 15916340 16249332 16310960 16380375 16495116 16786500 17104560 17363280 17472400 17817250 17905600 17942056 18004800 18086750 18392000 18465150 18744450 18994376 19060800 19099608 19369265 19437000 19573152 19696160 19731000 19895425 19994080 20311665 20388700 20618895 20966880 21380700 21665776 21704100 21840500 21993488 22382000 22427570 22506000 22806080 23151040 23243118 23635392 23742970 23826000 23874510 23992896 24466440 24620200 24670327 24992600 25466144 25485875 25916000 26117267 26208600 26308000 26725875 26858400 26913084 27082220 27130125 27491860 27588000 28491564 28507600 28938800 29544240 29991120 30008000 30241046 30583050 30775250 30990824 31099200 31240750 31569600 31768000 31832680 32498664 32621920 32760750 32990232 33573000 33641355 33852775 34209120 34364825 34726560 34944800 35614455 35634500 35884112 36173500 36930300 37488900 37988752 38199216 38738530 38874000 39146304 39392320 39462000 39790850 39988160 40623330 40777400 41237790 41933760 42612383 42761400 43331552 43408200 43681000 43986976 44764000 44855140 45012000 45361569 46162875 46486236 46861125 47485940 47652000 47749020 48932880 49240400 49340654 49985200 50932288 50971750 51832000 52234534 52417200 52616000 53451750 53716800 53826168 54164440 54260250 54983720 55176000 56068925 56983128 57015200 57877600 58107795 59088480 59357425 59686275 59982240 60482092 61166100 61550500 61981648 62481500 63665360 64997328 65243840 65521500 65980464 67146000 67282710 67705550 68418240 68729650 69453120 69889600 71228910 71269000 71768224 72347000 73603207 73860600 74010981 74977800 75602615 75977504 76398432 76457625 77477060 77748000 78351801 78924000 79581700 81246660 81554800 82475580 85224766 85522800 86663104 86816400 87362000 87973952 89528000 89710280 90024000 90723138 92325750 92972472 93722250 94971880 95304000 95498040 96846325 97865760 98480800 98681308 99477125 99970400 101558325 101943500 103094475 104469068 104834400 106903500 107652336 108328880 108520500 109967440 112137850 113966256 114030400 115755200 116215590 118176960 118714850 119372550 119964480 120964184 122332200 123101000 123351635 123963296 124963000 127330720 127837149 129994656 130586335 131043000 131960928 134292000 134565420 135411100 137459300 142457820 142538000 143536448 144694000 147206414 147721200 148021962 149955600 151205230 151955008 152796864 152915250 154954120 155496000 156703602 157848000 159163400 162493320 163109600 164951160 168206775 169263875 170449532 171045600 171824125 173632800 174724000 178072275 179420560 181446276 184651500 185944944 187444500 189943760 190996080 193692650 195731520 196961600 197362616 198954250 199940800 203116650 203887000 206188950 208938136 209668800 213061915 213807000 215304672 216657760 217041000 219934880 220809621 224275700 226807845 227932512 232431180 237429700 238745100 241928368 244664400 246202000 246703270 247926592 249926000 254661440 255674298 259989312 261172670 262086000 263921856 268584000 269130840 270822200 274918600 280344625 284915640 285076000 287289937 289388000 290538975 294412828 295442400 296043924 296787125 298431375 299911200 302410460 305830500 309908240 313407204 318326800 324986640 326219200 329902320 336413550 338527750 340899064 342091200 343648250 347265600 349448000 356144550 358841120 362892552 368016035 369303000 370054905 371889888 374889000 378013075 379887520 381992160 387385300 391759005 394725232 397908500 406233300 407774000 412377900 417876272 426123830 427614000 430609344 433315520 434082000 439869760 441619242 448551400 453615690 455865024 464862360 468736213 474859400 477490200 483856736 484231625 489328800 492404000 493406540 499852000 507791625 511348596 515472375 522345340 524172000 538261680 541644400 549837200 560689250 569831280 570152000 574579874 578776000 581077950 588825656 590884800 592087848 593574250 596862750 599822400 604820920 611661000 616758175 619816480 626814408 636653600 639185745 649973280 652931675 659804640 672827100 677055500 681798128 687296500 712289100 717682240 725785104 736032070 738606000 740109810 743779776 749778000 756026150 759775040 763984320 774770600 783518010 789450464 795817000 809635277 812466600 815548000 824755800 835752544 841033875 852247660 855228000 861869811 868164000 883238484 890361375 897102800 907231380 929724720 937472426 949718800 954980400 967713472 968463250 978657600 984808000 986813080 999704000 1015583250 1022697192 1030944750 1044690680 1048344000 1065309575 1076523360 1083288800 1099674400 1104048105 1121378500 1134039225 1139662560 1149159748 1162155900 1177651312 1184175696 1187148500 1193725500 1209641840 1223322000 1233516350 1239632960 1253628816 1273307200 1278371490 1299946560 1305863350 1319609280 1345654200 1354111000 1363596256 1374593000 1406208639 1424578200 1436449685 1451570208 1452694875 1472064140 1477212000 1480219620 1499556000 1512052300 1549541200 1567036020 1578900928 1591634000 1619270554 1624933200 1631096000 1649511600 1671505088 1682067750 1704495320 1710456000 1723739622 1736328000 1766476968 1780722750 1794205600 1814462760 1840080175 1850274525 1859449440 1874944852 1890065375 1899437600 1909960800 1936926500 1958795025 1973626160 2031166500 2045394384 2061889500 2089381360 2130619150 2153046720 2166577600 2199348800 2208096210 2242757000 2268078450 2279325120 2298319496 2324311800 2343681065 2355302624 2368351392 2374297000 2387451000 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6529316750 6598046400 6728271000 6817981280 6894958488 7031043195 7065907872 7122891000 7182248425 7257851040 7360320700 7401098100 7499779408 7560261500 7747706000 7835180100 7894504640 8096352770 8124666000 8181577536 8247558000 8357525440 8522476600 8618698110 8832384840 8905988047 8971028000 9072313800 9193277984 9200400875 9251372625 9297247200 9374724260 9497188000 9549804000 9715623324 9793975125 9868130800 10226971920 10446906800 10653095750 10765233600 10832888000 10996744000 11040481050 11249669112 11340392250 11396625600 11491597480 11621559000 11718405325 11776513120 11841756960 12096418400 12144529155 12335163500 12536288160 12783714900 12954164432 13058633500 13456542000 13635962560 13789916976 14062086390 14131815744 14245782000 14364496850 14515702080 14720641400 14802196200 14999558816 15120523000 15495412000 15670360200 15979643625 16192705540 16249332000 16495116000 17044953200 17237396220 17664769680 17811976094 17942056000 18144627600 18386555968 18400801750 18502745250 18594494400 18749448520 18994376000 19099608000 19431246648 19587950250 19736261600 20240881925 20453943840 20893813600 21306191500 21546745275 22080962100 22499338224 22680784500 22983194960 23243118000 23436810650 23553026240 23683513920 24192836800 24289058310 24670327000 25072576320 25567429800 25908328864 26117267000 26717964141 26913084000 27579833952 27601202625 28124172780 28491564000 28728993700 29441282800 29604392400 29999117632 30241046000 30990824000 31340720400 31959287250 32385411080 32498664000 32990232000 34089906400 34474792440 35155215975 35329539360 35623952188 35911242125 36289255200 36801603500 37005490500 37498897040 38862493296 39175900500 39472523200 40481763850 40907887680 41787627200 42612383000 43093490550 44161924200 44529940235 44998676448 45361569000 45966389920 46486236000 46873621300 48578116620 49340654000 51134859600 51816657728 52234534000 53435928282 53826168000 55159667904 55202405250 56248345560 56983128000 57457987400 58592026625 58882565600 59208784800 60482092000 60722645775 62681440800 63918574500 64770822160 68179812800 68949584880 70310431950 70659078720 71247904376 71822484250 72578510400 73603207000 74010981000 74997794080 77724986592 78351801000 80963527700 85224766000 86186981100 88323848400 89059880470 89997352896 90723138000 91932779840 92972472000 93747242600 97156233240 98681308000 101204409625 102269719200 104469068000 106871856564 107733726375 110404810500 112496691120 114915974800 117184053250 117765131200 118417569600 120964184000 121445291550 125362881600 127837149000 129541644320 133589820705 137899169760 140620863900 142495808752 143644968500 147206414000 148021962000 149995588160 155449973184 156703602000 161927055400 170449532000 172373962200 175776079875 176647696800 178119760940 181446276000 187494485200 194312466480 197362616000 202408819250 204539438400 208938136000 213743713128 215467452750 220809621000 222649701175 224993382240 229831949600 234368106500 242890583100 255674298000 259083288640 267179641410 275798339520 281241727800 284991617504 287289937000 294412828000 296043924000 303613228875 313407204000 323854110800 340899064000 344747924400 351552159750 353295393600 356239521880 362892552000 374988970400 388624932960 404817638500 427487426256 430934905500 441619242000 445299402350 449986764480 459663899200 468736213000 485781166200 511348596000 534359282820 562483455600 569983235008 574579874000 588825656000 592087848000 607226457750 626814408000 647708221600 667949103525 689495848800 703104319500 712479043760 749977940800 777249865920 809635277000 854974852512 861869811000 883238484000 890598804700 937472426000 971562332400 1022697192000 1068718565640 1113248505875 1124966911200 1149159748000 1214452915500 1295416443200 1335898207050 1378991697600 1406208639000 1424958087520 1619270554000 1709949705024 1723739622000 1766476968000 1781197609400 1874944852000 1943124664800 2137437131280 2226497011750 2249933822400 2298319496000 2428905831000 2671796414100 2812417278000 2849916175040 3238541108000 3339745517625 3447479244000 3562395218800 3749889704000 3886249329600 4274874262560 4452994023500 4857811662000 5343592828200 5624834556000 6477082216000 6679491035250 6894958488000 7124790437600 8549748525120 8905988047000 9715623324000 10687185656400 11249669112000 13358982070500 14249580875200 17811976094000 19431246648000 21374371312800 26717964141000 35623952188000 42748742625600 53435928282000 71247904376000 106871856564000 213743713128000
- Sum of all divisors σ(n): 845295923856384
- Sum of proper divisors (its aliquot sum) s(n): 631552210728384
- 213743713128000 is an abundant number, because the sum of its proper divisors (631552210728384) is greater than itself. Its abundance is 417808497600384
Bases of 213743713128000
- Binary: 1100001001100110000101100001100000001110010000002
- Hexadecimal: 0xC26616180E40
- Base-36: 23RKI83I2O
Squares and roots of 213743713128000
- 213743713128000 squared (2137437131280002) is 45686374901744759544384000000
- 213743713128000 cubed (2137437131280003) is 9765175410856791070732153679473152000000000
-
The
square root of 213743713128000 is 14619976.5091466545 -
The
cube root of 213743713128000 is 59790.3528700889
Scales and comparisons
How big is 213743713128000?- 213,743,713,128,000 seconds is equal to 6,796,388 years, 48 weeks, 14 hours, 40 minutes.
-
To count from 1 to 213,743,713,128,000 would take you about sixteen million, nine hundred ninety thousand, nine hundred seventy-two 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 213743713128000 cubic inches would be around 4982.5 feet tall.
Recreational maths with 213743713128000
- 213743713128000 backwards is 000821317347312
- The number of decimal digits it has is: 15
- The sum of 213743713128000's digits is 42
- More coming soon!
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"Number 213743713128000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
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Numbermatics. (2024). Number 213743713128000 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/213743713128000/
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The information we have on file for 213743713128000 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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