381373304928000
381,373,304,928,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 381373304928000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
381373304928000 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 381373304928000:
28 × 3 × 53 × 72 × 11 × 271 × 27197
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 11 × 271 × 27197)See below for interesting mathematical facts about the number 381373304928000 from the Numbermatics database.
Names of 381373304928000
- Cardinal: 381373304928000 can be written as Three hundred eighty-one trillion, three hundred seventy-three billion, three hundred four million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 3.81373304928 × 1014
Factors of 381373304928000
Divisors of 381373304928000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 48 49 50 55 56 60 64 66 70 75 77 80 84 88 96 98 100 105 110 112 120 125 128 132 140 147 150 154 160 165 168 175 176 192 196 200 210 220 224 231 240 245 250 256 264 271 275 280 294 300 308 320 330 336 350 352 375 384 385 392 400 420 440 448 462 480 490 500 525 528 539 542 550 560 588 600 616 640 660 672 700 704 735 750 768 770 784 800 813 825 840 875 880 896 924 960 980 1000 1050 1056 1078 1084 1100 1120 1155 1176 1200 1225 1232 1280 1320 1344 1355 1375 1400 1408 1470 1500 1540 1568 1600 1617 1626 1650 1680 1750 1760 1792 1848 1897 1920 1925 1960 2000 2100 2112 2156 2168 2200 2240 2310 2352 2400 2450 2464 2625 2640 2688 2695 2710 2750 2800 2816 2940 2981 3000 3080 3136 3200 3234 3252 3300 3360 3500 3520 3675 3696 3794 3840 3850 3920 4000 4065 4125 4200 4224 4312 4336 4400 4480 4620 4704 4800 4900 4928 5250 5280 5376 5390 5420 5500 5600 5691 5775 5880 5962 6000 6125 6160 6272 6400 6468 6504 6600 6720 6775 7000 7040 7350 7392 7588 7700 7840 8000 8085 8130 8250 8400 8448 8624 8672 8800 8943 8960 9240 9408 9485 9600 9625 9800 9856 10500 10560 10780 10840 11000 11200 11382 11550 11760 11924 12000 12250 12320 12544 12936 13008 13200 13279 13440 13475 13550 14000 14080 14700 14784 14905 15176 15400 15680 16000 16170 16260 16500 16800 17248 17344 17600 17886 18375 18480 18816 18970 19200 19250 19600 19712 20325 20867 21000 21120 21560 21680 22000 22400 22764 23100 23520 23848 24000 24500 24640 25872 26016 26400 26558 26880 26950 27100 27197 28000 28455 28875 29400 29568 29810 30352 30800 31360 32000 32340 32520 33000 33600 33875 34496 34688 35200 35772 36750 36960 37632 37940 38500 39200 39837 40425 40650 41734 42000 42240 43120 43360 44000 44715 44800 45528 46200 47040 47425 47696 48000 49000 49280 51744 52032 52800 53116 53900 54200 54394 56000 56910 57750 58800 59136 59620 60704 61600 62601 62720 64680 65040 66000 66395 67200 67375 67750 68992 69376 70400 71544 73500 73920 74525 75880 77000 78400 79674 80850 81300 81591 83468 84000 86240 86720 88000 89430 91056 92400 94080 94850 95392 96000 98000 98560 101625 103488 104064 104335 105600 106232 107800 108400 108788 112000 113820 115500 117600 119240 121408 123200 125202 129360 130080 132000 132790 134400 134750 135500 135985 137984 142275 143088 146069 147000 147840 149050 151760 154000 156800 159348 161700 162600 163182 166936 168000 172480 173440 176000 178860 182112 184800 188160 189700 190379 190784 196000 199185 202125 203250 206976 208128 208670 211200 212464 215600 216800 217576 223575 224000 227640 231000 235200 237125 238480 242816 246400 250404 258720 260160 264000 265580 269500 271000 271970 284550 286176 292138 294000 295680 298100 299167 303520 308000 313005 313600 318696 323400 325200 326364 331975 333872 336000 344960 346880 352000 357720 364224 369600 372625 379400 380758 381568 392000 398370 404250 406500 407955 413952 417340 424928 431200 433600 435152 438207 447150 455280 462000 470400 474250 476960 485632 492800 500808 517440 520320 521675 528000 531160 539000 542000 543940 569100 571137 572352 584276 588000 596200 598334 607040 616000 626010 637392 646800 650400 652728 663950 667744 672000 679925 689920 711375 715440 728448 730345 739200 745250 758800 761516 763136 784000 796740 808500 813000 815910 834680 849856 862400 867200 870304 876414 894300 897501 910560 924000 940800 948500 951895 953920 995925 1001616 1034880 1040640 1043350 1056000 1062320 1078000 1084000 1087880 1117875 1138200 1142274 1144704 1168552 1176000 1192400 1196668 1214080 1232000 1252020 1274784 1293600 1300800 1305456 1327900 1332653 1335488 1359850 1422750 1430880 1456896 1460690 1478400 1490500 1495835 1517600 1523032 1565025 1568000 1593480 1617000 1626000 1631820 1659875 1669360 1699712 1724800 1734400 1740608 1752828 1788600 1795002 1821120 1848000 1897000 1903790 1907840 1991850 2003232 2039775 2069760 2086700 2094169 2124640 2156000 2168000 2175760 2191035 2235750 2276400 2284548 2289408 2337104 2352000 2384800 2393336 2428160 2464000 2504040 2549568 2587200 2601600 2608375 2610912 2655800 2665306 2670976 2719700 2845500 2855685 2861760 2921380 2981000 2991670 3035200 3046064 3130050 3186960 3234000 3252000 3263640 3319750 3338720 3399424 3399625 3449600 3481216 3505656 3577200 3590004 3642240 3651725 3696000 3794000 3807580 3815680 3983700 3997959 4006464 4079550 4173400 4188338 4249280 4312000 4336000 4351520 4382070 4471500 4487505 4552800 4569096 4674208 4704000 4759475 4769600 4786672 4979625 5008080 5099136 5174400 5203200 5216750 5221824 5311600 5330612 5341952 5439400 5691000 5711370 5723520 5842760 5962000 5983340 6070400 6092128 6260100 6282507 6373920 6468000 6504000 6527280 6639500 6663265 6677440 6799250 6962432 7011312 7154400 7180008 7284480 7303450 7370387 7392000 7479175 7588000 7615160 7825125 7967400 7995918 8012928 8159100 8346800 8376676 8498560 8624000 8672000 8703040 8764140 8943000 8975010 9105600 9138192 9348416 9518950 9539200 9573344 9959250 10016160 10198272 10198875 10348800 10433500 10443648 10470845 10623200 10661224 10878800 10955175 11382000 11422740 11447040 11685520 11924000 11966680 12140800 12184256 12520200 12565014 12747840 12936000 13008000 13054560 13279000 13326530 13354880 13598500 14022624 14278425 14308800 14360016 14606900 14659183 14740774 14958350 15176000 15230320 15650250 15934800 15991836 16025856 16318200 16693600 16753352 16997120 17248000 17406080 17528280 17886000 17950020 18211200 18258625 18276384 18696832 19037900 19078400 19146688 19918500 19989795 20032320 20397750 20867000 20887296 20941690 21246400 21322448 21757600 21910350 22111161 22437525 22764000 22845480 23371040 23797375 23848000 23933360 24368512 25040400 25130028 25495680 25872000 26016000 26109120 26558000 26653060 26709760 27197000 28045248 28556850 28617600 28720032 29213800 29318366 29481548 29916700 30352000 30460640 31300500 31412535 31869600 31983672 32636400 33316325 33387200 33506704 34812160 35056560 35772000 35900040 36422400 36517250 36552768 36851935 37393664 37395875 38075800 38293376 39837000 39979590 40064640 40795500 41734000 41883380 42492800 42644896 43515200 43820700 43977549 44222322 44875050 45528000 45690960 46742080 47594750 47696000 47866720 48737024 50080800 50260056 50991360 51592709 51744000 52218240 52354225 53116000 53306120 54394000 54775875 56090496 57113700 57235200 57440064 58427600 58636732 58963096 59833400 60704000 60921280 62601000 62825070 63739200 63967344 65272800 66632650 66774400 67013408 70113120 71392125 71544000 71800080 73034500 73105536 73295915 73703870 74791750 76151600 76586752 79674000 79959180 80129280 81074257 81591000 83468000 83766760 84985600 85289792 87030400 87641400 87955098 88444644 89750100 91056000 91381920 93484160 95189500 95392000 95733440 99948975 100161600 100520112 103185418 104436480 104708450 106232000 106612240 108788000 109551750 110555805 112180992 112187625 114227400 114880128 116855200 117273464 117926192 119666800 121842560 125202000 125650140 127478400 127934688 130545600 133265300 133548800 134026816 140226240 142784250 143088000 143600160 146069000 146211072 146591830 147407740 149583500 152303200 154778127 157062675 159348000 159918360 162148514 163182000 166581625 166936000 167533520 170579584 174060800 175282800 175910196 176889288 179500200 182112000 182763840 184259675 186968320 190379000 191466880 199897950 200323200 201040224 206370836 209416900 212464000 213224480 217576000 219103500 219887745 221111610 224375250 228454800 229760256 233710400 234546928 235852384 239333600 243222771 243685120 250404000 251300280 254956800 255869376 257963545 261091200 261771125 266530600 268053632 280452480 285568500 286176000 287200320 292138000 293183660 294815480 299167000 304606400 309556254 314125350 318696000 319836720 324297028 326364000 333163250 333872000 335067040 341159168 350565600 351820392 353778576 359000400 361148963 365527680 366479575 368519350 380758000 382933760 399795900 400646400 402080448 405371285 412741672 418833800 424928000 426448960 435152000 438207000 439775490 442223220 448750500 456909600 467420800 469093856 471704768 478667200 486445542 499744875 500808000 502600560 511738752 515927090 522182400 523542250 533061200 536107264 552779025 560904960 567519799 571137000 574400640 584276000 586367320 589630960 598334000 609212800 619112508 628250700 637392000 639673440 648594056 652728000 666326500 667744000 670134080 701131200 703640784 707557152 718000800 722297926 731055360 732959150 737038700 761516000 773890635 785313375 799591800 804160896 810742570 825483344 837667600 852897920 870304000 876414000 879550980 884446440 897501000 913819200 921298375 934841600 938187712 943409536 957334400 972891084 999489750 1001616000 1005201120 1023477504 1031854180 1047084500 1066122400 1083446889 1099438725 1105558050 1135039598 1142274000 1148801280 1168552000 1172734640 1179261920 1196668000 1216113855 1218425600 1238225016 1256501400 1274784000 1279346880 1289817725 1297188112 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4264489600 4333787556 4397754900 4422232200 4540158392 4569096000 4674208000 4690938560 4717047680 4786672000 4864455420 4952900064 5026005600 5117387520 5159270900 5188752448 5330612000 5417234445 5497193625 5527790250 5629126272 5660457216 5675197990 5744006400 5778383408 5863673200 5896309600 6080569275 6092128000 6191125080 6282507000 6396734400 6449088625 6485940560 6603866752 6701340800 6810237588 7011312000 7036407840 7075571520 7180008000 7222979260 7329591500 7370387000 7738906350 7783128672 7945277186 7995918000 8041608960 8107425700 8254833440 8376676000 8512796985 8528979200 8667575112 8795509800 8844464400 9028724075 9080316784 9138192000 9381877120 9434095360 9573344000 9728910840 9905800128 10052011200 10134282125 10318541800 10377504896 10661224000 10834468890 10994387250 11055580500 11258252544 11350395980 11556766816 11727346400 11792619200 11917915779 12161138550 12382250160 12565014000 12793468800 12898177250 12971881120 13207733504 13402681600 13620475176 14022624000 14072815680 14151143040 14187994975 14360016000 14445958520 14659183000 14740774000 15477812700 15566257344 15890554372 15991836000 16214851400 16509666880 16753352000 17025593970 17335150224 17591019600 17688928800 18057448150 18160633568 18276384000 18763754240 19347265875 19457821680 19811600256 19863192965 20104022400 20268564250 20637083600 20755009792 21322448000 21668937780 21988774500 22111161000 22700791960 23113533632 23454692800 23585238400 23835831558 24322277100 24764500320 25130028000 25586937600 25796354500 25943762240 27086172225 27240950352 28145631360 28302286080 28375989950 28720032000 28891917040 29318366000 29481548000 30402846375 30955625400 31132514688 31781108744 31983672000 32429702800 33019333760 33506704000 34051187940 34670300448 35182039200 35377857600 36114896300 36321267136 38694531750 38915643360 39623200512 39726385930 40208044800 40537128500 41274167200 42563984925 42644896000 43337875560 43977549000 44222322000 45143620375 45401583920 46227067264 46909385600 47170476800 47671663116 48644554200 49529000640 50260056000 51592709000 51887524480 54172344450 54481900704 56291262720 56751979900 57783834080 58636732000 58963096000 59589578895 60805692750 61911250800 62265029376 63562217488 63967344000 64859405600 66038667520 67013408000 68102375880 69340600896 70364078400 70755715200 70939974875 72229792600 72642534272 77389063500 77831286720 79452771860 81074257000 82548334400 85127969850 86675751120 87955098000 88444644000 90287240750 90803167840 92454134528 93818771200 95343326232 97289108400 99058001280 99315964825 100520112000 103185418000 103775048960 108344688900 108963801408 113503959800 115567668160 117273464000 117926192000 119179157790 121611385500 123822501600 127124434976 127934688000 129718811200 135430861125 136204751760 138681201792 140728156800 141511430400 141879949750 144459585200 145285068544 154778127000 155662573440 158905543720 162148514000 165096668800 170255939700 173351502240 175910196000 176889288000 180574481500 181606335680 190686652464 194578216800 198116002560 198631929650 201040224000 206370836000 212819924625 216689377800 217927602816 227007919600 231135336320 234546928000 235852384000 238358315580 243222771000 247645003200 254248869952 259437622400 270861722250 272409503520 277362403584 281456313600 283759899500 288919170400 297947894475 309556254000 311325146880 317811087440 324297028000 330193337600 340511879400 346703004480 351820392000 353778576000 361148963000 363212671360 381373304928 389156433600 397263859300 412741672000 425639849250 433378755600 435855205632 454015839200 462270672640 469093856000 476716631160 486445542000 495290006400 496579824125 508497739904 518875244800 541723444500 544819007040 567519799000 577838340800 595895788950 619112508000 635622174880 648594056000 681023758800 693406008960 703640784000 707557152000 722297926000 726425342720 762746609856 778312867200 794527718600 825483344000 851279698500 866757511200 908031678400 953433262320 972891084000 990580012800 993159648250 1016995479808 1083446889000 1089638014080 1135039598000 1155676681600 1191791577900 1238225016000 1271244349760 1297188112000 1362047517600 1386812017920 1407281568000 1444595852000 1489739472375 1525493219712 1556625734400 1589055437200 1650966688000 1702559397000 1733515022400 1816063356800 1906866524640 1945782168000 1986319296500 2166893778000 2179276028160 2270079196000 2311353363200 2383583155800 2476450032000 2542488699520 2594376224000 2724095035200 2889191704000 2979478944750 3050986439424 3178110874400 3405118794000 3467030044800 3632126713600 3813733049280 3891564336000 3972638593000 4333787556000 4540158392000 4767166311600 4952900064000 5084977399040 5448190070400 5778383408000 5958957889500 6356221748800 6810237588000 6934060089600 7627466098560 7783128672000 7945277186000 8667575112000 9080316784000 9534332623200 10896380140800 11556766816000 11917915779000 12712443497600 13620475176000 15254932197120 15890554372000 17335150224000 18160633568000 19068665246400 23835831558000 25424886995200 27240950352000 31781108744000 34670300448000 38137330492800 47671663116000 54481900704000 63562217488000 76274660985600 95343326232000 127124434976000 190686652464000 381373304928000
- Sum of all divisors σ(n): 1613494409619456
- Sum of proper divisors (its aliquot sum) s(n): 1232121104691456
- 381373304928000 is an abundant number, because the sum of its proper divisors (1232121104691456) is greater than itself. Its abundance is 850747799763456
Bases of 381373304928000
- Binary: 10101101011011011011001000101110111110111000000002
- Hexadecimal: 0x15ADB645DF700
- Base-36: 3R6OH6ZJEO
Squares and roots of 381373304928000
- 381373304928000 squared (3813733049280002) is 145445597711705269085184000000
- 381373304928000 cubed (3813733049280003) is 55469068286541392621688169238986752000000000
-
The
square root of 381373304928000 is 19528781.4501570989 -
The
cube root of 381373304928000 is 72518.7144666601
Scales and comparisons
How big is 381373304928000?- 381,373,304,928,000 seconds is equal to 12,126,491 years, 22 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 381,373,304,928,000 would take you about thirty million, three hundred sixteen thousand, two 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 381373304928000 cubic inches would be around 6043.2 feet tall.
Recreational maths with 381373304928000
- 381373304928000 backwards is 000829403373183
- The number of decimal digits it has is: 15
- The sum of 381373304928000's digits is 51
- More coming soon!
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Numbermatics. (2024). Number 381373304928000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/381373304928000/
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The information we have on file for 381373304928000 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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