213828818976000
213,828,818,976,000 is an even composite number composed of six prime numbers multiplied together.
213828818976000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 213828818976000:
28 × 33 × 53 × 43 × 127 × 45319
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 43 × 127 × 45319)See below for interesting mathematical facts about the number 213828818976000 from the Numbermatics database.
Names of 213828818976000
- Cardinal: 213828818976000 can be written as Two hundred thirteen trillion, eight hundred twenty-eight billion, eight hundred eighteen million, nine hundred seventy-six thousand.
Scientific notation
- Scientific notation: 2.13828818976 × 1014
Factors of 213828818976000
Divisors of 213828818976000
- Number of divisors d(n): 1152
-
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 43 45 48 50 54 60 64 72 75 80 86 90 96 100 108 120 125 127 128 129 135 144 150 160 172 180 192 200 215 216 225 240 250 254 256 258 270 288 300 320 344 360 375 381 384 387 400 430 432 450 480 500 508 516 540 576 600 635 640 645 675 688 720 750 762 768 774 800 860 864 900 960 1000 1016 1032 1075 1080 1125 1143 1152 1161 1200 1270 1280 1290 1350 1376 1440 1500 1524 1548 1600 1720 1728 1800 1905 1920 1935 2000 2032 2064 2150 2160 2250 2286 2304 2322 2400 2540 2580 2700 2752 2880 3000 3048 3096 3175 3200 3225 3375 3429 3440 3456 3600 3810 3840 3870 4000 4064 4128 4300 4320 4500 4572 4644 4800 5080 5160 5375 5400 5461 5504 5715 5760 5805 6000 6096 6192 6350 6400 6450 6750 6858 6880 6912 7200 7620 7740 8000 8128 8256 8600 8640 9000 9144 9288 9525 9600 9675 10160 10320 10750 10800 10922 11008 11430 11520 11610 12000 12192 12384 12700 12900 13500 13716 13760 14400 15240 15480 15875 16000 16125 16256 16383 16512 17145 17200 17280 18000 18288 18576 19050 19200 19350 20320 20640 21500 21600 21844 22860 23220 24000 24384 24768 25400 25800 27000 27305 27432 27520 28575 28800 29025 30480 30960 31750 32000 32250 32512 32766 33024 34290 34400 34560 36000 36576 37152 38100 38700 40640 41280 43000 43200 43688 45319 45720 46440 47625 48000 48375 48768 49149 49536 50800 51600 54000 54610 54864 55040 57150 57600 58050 60960 61920 63500 64500 65532 68580 68800 72000 73152 74304 76200 77400 81280 81915 82560 85725 86000 86400 87376 90638 91440 92880 95250 96000 96750 97536 98298 99072 101600 103200 108000 109220 109728 114300 116100 121920 123840 127000 129000 131064 135957 136525 137160 137600 142875 144000 145125 146304 147447 148608 152400 154800 162560 163830 165120 171450 172000 172800 174752 181276 182880 185760 190500 193500 196596 203200 206400 216000 218440 219456 226595 228600 232200 243840 245745 247680 254000 258000 262128 271914 273050 274320 275200 285750 288000 290250 292608 294894 297216 304800 309600 327660 342900 344000 349504 362552 365760 371520 381000 387000 393192 406400 407871 409575 412800 428625 432000 436880 438912 453190 457200 464400 487680 491490 495360 508000 516000 524256 543828 546100 548640 571500 580500 589788 609600 619200 655320 679785 682625 685800 688000 699008 725104 731520 737235 743040 762000 774000 786384 812800 815742 819150 825600 857250 864000 873760 877824 906380 914400 928800 982980 1016000 1032000 1048512 1087656 1092200 1097280 1132975 1143000 1161000 1179576 1219200 1223613 1228725 1238400 1310640 1359570 1365250 1371600 1376000 1398016 1450208 1463040 1474470 1486080 1524000 1548000 1572768 1631484 1638300 1714500 1747520 1812760 1828800 1857600 1948717 1965960 2032000 2039355 2047875 2064000 2097024 2175312 2184400 2194560 2265950 2286000 2322000 2359152 2438400 2447226 2457450 2476800 2621280 2719140 2730500 2743200 2900416 2948940 3048000 3096000 3145536 3262968 3276600 3398925 3429000 3495040 3625520 3657600 3686175 3715200 3897434 3931920 4064000 4078710 4095750 4128000 4194048 4350624 4368800 4389120 4531900 4572000 4644000 4718304 4894452 4914900 5242560 5438280 5461000 5486400 5664875 5755513 5800832 5846151 5897880 6096000 6118065 6143625 6192000 6291072 6525936 6553200 6797850 6858000 6990080 7251040 7315200 7372350 7430400 7794868 7863840 8157420 8191500 8701248 8737600 9063800 9144000 9288000 9436608 9743585 9788904 9829800 10196775 10485120 10876560 10922000 10972800 11329750 11511026 11601664 11692302 11795760 12192000 12236130 12287250 12384000 12582144 13051872 13106400 13595700 13716000 14502080 14744700 15589736 15727680 16314840 16383000 16994625 17266539 17402496 17475200 17538453 18127600 18288000 18430875 18576000 18873216 19487170 19577808 19659600 20393550 20970240 21753120 21844000 21945600 22659500 23022052 23384604 23591520 24472260 24574500 26103744 26212800 27191400 27432000 28777565 29004160 29230755 29489400 30590325 31179472 31455360 32629680 32766000 33989250 34533078 34804992 34950400 35076906 36255200 36576000 36861750 37152000 37746432 38974340 39155616 39319200 40787100 43506240 43688000 45319000 46044104 46769208 47183040 48717925 48944520 49149000 50983875 51799617 52207488 52425600 52615359 54382800 54864000 57555130 58008320 58461510 58978800 61180650 62358944 62910720 65259360 65532000 67978500 69066156 70153812 72510400 73723500 77948680 78311232 78638400 81574200 86332695 87012480 87376000 87692265 90638000 92088208 93538416 94366080 97435850 97889040 98298000 101967750 103599234 104414976 104851200 105230718 108765600 109728000 115110260 116923020 117957600 122361300 124717888 130518720 131064000 135957000 138132312 140307624 143887825 145020800 146153775 147447000 152951625 155398851 155897360 156622464 157276800 163148400 172665390 174024960 174752000 175384530 181276000 184176416 187076832 188732160 194871700 195778080 196596000 203935500 207198468 210461436 217531200 230220520 233846040 235915200 243589625 244722600 247487059 249435776 258998085 261037440 262128000 263076795 271914000 276264624 280615248 287775650 290041600 292307550 294894000 305903250 310797702 311794720 313244928 314553600 326296800 345330780 350769060 362552000 368352832 374153664 389743400 391556160 393192000 407871000 414396936 420922872 431663475 435062400 438461325 460441040 467692080 471830400 487179250 489445200 494974118 498871552 517996170 522074880 524256000 526153590 543828000 552529248 561230496 575551300 584615100 589788000 611806500 621595404 623589440 652593600 690661560 701538120 719439125 725104000 730768875 736705664 742461177 748307328 776994255 779486800 783112320 786384000 815742000 828793872 841845744 863326950 870124800 876922650 920882080 935384160 943660800 974358500 978890400 989948236 1035992340 1052307180 1087656000 1105058496 1122460992 1151102600 1169230200 1179576000 1223613000 1237435295 1243190808 1247178880 1294990425 1305187200 1315383975 1381323120 1403076240 1438878250 1450208000 1461537750 1473411328 1484922354 1496614656 1553988510 1558973600 1566224640 1572768000 1631484000 1657587744 1683691488 1726653900 1753845300 1841764160 1870768320 1948717000 1957780800 1979896472 2071984680 2104614360 2158317375 2175312000 2192306625 2210116992 2227383531 2244921984 2302205200 2338460400 2359152000 2447226000 2474870590 2486381616 2494357760 2589980850 2610374400 2630767950 2762646240 2806152480 2877756500 2923075500 2969844708 3107977020 3117947200 3262968000 3315175488 3367382976 3453307800 3507690600 3683528320 3712305885 3741536640 3884971275 3897434000 3915561600 3959792944 4143969360 4209228720 4316634750 4350624000 4384613250 4420233984 4454767062 4489843968 4604410400 4676920800 4718304000 4894452000 4949741180 4972763232 5179961700 5261535900 5525292480 5612304960 5755513000 5846151000 5939689416 6187176475 6215954040 6235894400 6474952125 6525936000 6576919875 6630350976 6682150593 6734765952 6906615600 7015381200 7367056640 7424611770 7483073280 7769942550 7794868000 7831123200 7919585888 8287938720 8418457440 8633269500 8769226500 8909534124 9208820800 9353841600 9788904000 9899482360 9945526464 10359923400 10523071800 11050584960 11136917655 11224609920 11511026000 11692302000 11879378832 12374352950 12431908080 12471788800 12949904250 13051872000 13153839750 13260701952 13364301186 13469531904 13813231200 14030762400 14849223540 15539885100 15589736000 15839171776 16575877440 16836914880 17266539000 17538453000 17819068248 18417641600 18561529425 18707683200 19424856375 19577808000 19798964720 19891052928 20719846800 21046143600 22101169920 22273835310 22449219840 23022052000 23384604000 23758757664 24748705900 24863816160 25899808500 26307679500 26728602372 27626462400 28061524800 29698447080 30935882375 31079770200 31179472000 31678343552 33151754880 33410752965 33673829760 34533078000 35076906000 35638136496 36835283200 37123058850 37415366400 38849712750 39155616000 39597929440 39782105856 41439693600 42092287200 44547670620 46044104000 46769208000 47517515328 49497411800 49727632320 51799617000 52615359000 53457204744 55252924800 55684588275 56123049600 59396894160 61871764750 62159540400 62358944000 63356687104 66303509760 66821505930 67347659520 69066156000 70153812000 71276272992 74246117700 77699425500 79195858880 82879387200 84184574400 89095341240 92088208000 92807647125 93538416000 95035030656 98994823600 99455264640 103599234000 105230718000 106914409488 110505849600 111369176550 112246099200 118793788320 123743529500 124319080800 133643011860 138132312000 140307624000 142552545984 148492235400 155398851000 158391717760 165758774400 167053764825 168369148800 178190682480 184176416000 185615294250 187076832000 190070061312 197989647200 198910529280 207198468000 210461436000 213828818976 222738353100 237587576640 247487059000 248638161600 267286023720 276264624000 278422941375 280615248000 285105091968 296984470800 310797702000 316783435520 331517548800 334107529650 336738297600 356381364960 371230588500 395979294400 414396936000 420922872000 427657637952 445476706200 475175153280 494974118000 497276323200 534572047440 552529248000 556845882750 561230496000 570210183936 593968941600 621595404000 668215059300 712762729920 742461177000 791958588800 828793872000 835268824125 841845744000 855315275904 890953412400 950350306560 989948236000 994552646400 1069144094880 1113691765500 1187937883200 1243190808000 1336430118600 1425525459840 1484922354000 1583917177600 1657587744000 1670537648250 1683691488000 1710630551808 1781906824800 1979896472000 2138288189760 2227383531000 2375875766400 2486381616000 2672860237200 2851050919680 2969844708000 3341075296500 3563813649600 3959792944000 4276576379520 4454767062000 4751751532800 4972763232000 5345720474400 5939689416000 6682150593000 7127627299200 7919585888000 8553152759040 8909534124000 10691440948800 11879378832000 13364301186000 14255254598400 17819068248000 21382881897600 23758757664000 26728602372000 35638136496000 42765763795200 53457204744000 71276272992000 106914409488000 213828818976000
- Sum of all divisors σ(n): 813875616153600
- Sum of proper divisors (its aliquot sum) s(n): 600046797177600
- 213828818976000 is an abundant number, because the sum of its proper divisors (600046797177600) is greater than itself. Its abundance is 386217978201600
Bases of 213828818976000
- Binary: 1100001001111001111001101100110000111101000000002
- Hexadecimal: 0xC279E6CC3D00
- Base-36: 23SNLPX6O0
Squares and roots of 213828818976000
- 213828818976000 squared (2138288189760002) is 45722763824670977688576000000
- 213828818976000 cubed (2138288189760003) is 9776844588947971890931452407218176000000000
-
The
square root of 213828818976000 is 14622886.8208709049 -
The
cube root of 213828818976000 is 59798.2873466919
Scales and comparisons
How big is 213828818976000?- 213,828,818,976,000 seconds is equal to 6,799,095 years, 1 week, 3 days.
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To count from 1 to 213,828,818,976,000 would take you about sixteen million, nine hundred ninety-seven thousand, seven hundred thirty-seven 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 213828818976000 cubic inches would be around 4983.2 feet tall.
Recreational maths with 213828818976000
- 213828818976000 backwards is 000679818828312
- The number of decimal digits it has is: 15
- The sum of 213828818976000's digits is 63
- More coming soon!
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The information we have on file for 213828818976000 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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