381193890048000
381,193,890,048,000 is an even composite number composed of five prime numbers multiplied together.
381193890048000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 381193890048000:
211 × 310 × 53 × 151 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 151 × 167)See below for interesting mathematical facts about the number 381193890048000 from the Numbermatics database.
Names of 381193890048000
- Cardinal: 381193890048000 can be written as Three hundred eighty-one trillion, one hundred ninety-three billion, eight hundred ninety million, forty-eight thousand.
Scientific notation
- Scientific notation: 3.81193890048 × 1014
Factors of 381193890048000
Divisors of 381193890048000
- Number of divisors d(n): 2112
-
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 54 60 64 72 75 80 81 90 96 100 108 120 125 128 135 144 150 151 160 162 167 180 192 200 216 225 240 243 250 256 270 288 300 302 320 324 334 360 375 384 400 405 432 450 453 480 486 500 501 512 540 576 600 604 640 648 668 675 720 729 750 755 768 800 810 835 864 900 906 960 972 1000 1002 1024 1080 1125 1152 1200 1208 1215 1280 1296 1336 1350 1359 1440 1458 1500 1503 1510 1536 1600 1620 1670 1728 1800 1812 1920 1944 2000 2004 2025 2048 2160 2187 2250 2265 2304 2400 2416 2430 2505 2560 2592 2672 2700 2718 2880 2916 3000 3006 3020 3072 3200 3240 3340 3375 3456 3600 3624 3645 3775 3840 3888 4000 4008 4050 4077 4175 4320 4374 4500 4509 4530 4608 4800 4832 4860 5010 5120 5184 5344 5400 5436 5760 5832 6000 6012 6040 6075 6144 6400 6480 6561 6680 6750 6795 6912 7200 7248 7290 7515 7550 7680 7776 8000 8016 8100 8154 8350 8640 8748 9000 9018 9060 9216 9600 9664 9720 10020 10125 10240 10368 10688 10800 10872 10935 11325 11520 11664 12000 12024 12080 12150 12231 12525 12800 12960 13122 13360 13500 13527 13590 13824 14400 14496 14580 15030 15100 15360 15552 16000 16032 16200 16308 16700 17280 17496 18000 18036 18120 18225 18432 18875 19200 19328 19440 19683 20040 20250 20385 20736 20875 21376 21600 21744 21870 22545 22650 23040 23328 24000 24048 24160 24300 24462 25050 25217 25600 25920 26244 26720 27000 27054 27180 27648 28800 28992 29160 30060 30200 30375 30720 31104 32000 32064 32400 32616 32805 33400 33975 34560 34992 36000 36072 36240 36450 36693 37575 37750 38400 38656 38880 39366 40080 40500 40581 40770 41472 41750 42752 43200 43488 43740 45090 45300 46080 46656 48000 48096 48320 48600 48924 50100 50434 51200 51840 52488 53440 54000 54108 54360 54675 55296 56625 57600 57984 58320 59049 60120 60400 60750 61155 62208 62625 64000 64128 64800 65232 65610 66800 67635 67950 69120 69984 72000 72144 72480 72900 73386 75150 75500 75651 76800 77312 77760 78732 80160 81000 81162 81540 82944 83500 85504 86400 86976 87480 90180 90600 91125 92160 93312 96000 96192 96640 97200 97848 98415 100200 100868 101925 103680 104976 106880 108000 108216 108720 109350 110079 112725 113250 115200 115968 116640 118098 120240 120800 121500 121743 122310 124416 125250 126085 128000 128256 129600 130464 131220 133600 135270 135900 138240 139968 144000 144288 144960 145800 146772 150300 151000 151302 153600 154624 155520 157464 160320 162000 162324 163080 164025 165888 167000 169875 171008 172800 173952 174960 180360 181200 182250 183465 186624 187875 192000 192384 193280 194400 195696 196830 200400 201736 202905 203850 207360 209952 213760 216000 216432 217440 218700 220158 225450 226500 226953 230400 231936 233280 236196 240480 241600 243000 243486 244620 248832 250500 252170 256000 256512 259200 260928 262440 267200 270540 271800 273375 276480 279936 288000 288576 289920 291600 293544 295245 300600 302000 302604 305775 309248 311040 314928 320640 324000 324648 326160 328050 330237 334000 338175 339750 342016 345600 347904 349920 360720 362400 364500 365229 366930 373248 375750 378255 384000 384768 386560 388800 391392 393660 400800 403472 405810 407700 414720 419904 427520 432000 432864 434880 437400 440316 450900 453000 453906 460800 463872 466560 472392 480960 483200 486000 486972 489240 492075 497664 501000 504340 509625 513024 518400 521856 524880 534400 541080 543600 546750 550395 559872 563625 576000 577152 579840 583200 587088 590490 601200 604000 605208 608715 611550 622080 629856 630425 641280 648000 649296 652320 656100 660474 668000 676350 679500 680859 691200 695808 699840 721440 724800 729000 730458 733860 746496 751500 756510 768000 769536 773120 777600 782784 787320 801600 806944 811620 815400 820125 829440 839808 855040 864000 865728 869760 874800 880632 901800 906000 907812 917325 927744 933120 944784 961920 966400 972000 973944 978480 984150 990711 1002000 1008680 1014525 1019250 1026048 1036800 1043712 1049760 1068800 1082160 1087200 1093500 1095687 1100790 1119744 1127250 1134765 1152000 1154304 1159680 1166400 1174176 1180980 1202400 1208000 1210416 1217430 1223100 1244160 1259712 1260850 1282560 1296000 1298592 1304640 1312200 1320948 1336000 1352700 1359000 1361718 1382400 1391616 1399680 1442880 1449600 1458000 1460916 1467720 1476225 1492992 1503000 1513020 1528875 1539072 1546240 1555200 1565568 1574640 1603200 1613888 1623240 1630800 1640250 1651185 1679616 1690875 1710080 1728000 1731456 1739520 1749600 1761264 1803600 1812000 1815624 1826145 1834650 1866240 1889568 1891275 1923840 1932800 1944000 1947888 1956960 1968300 1981422 2004000 2017360 2029050 2038500 2042577 2073600 2087424 2099520 2137600 2164320 2174400 2187000 2191374 2201580 2239488 2254500 2269530 2304000 2308608 2319360 2332800 2348352 2361960 2404800 2416000 2420832 2434860 2446200 2460375 2488320 2519424 2521700 2565120 2592000 2597184 2609280 2624400 2641896 2672000 2705400 2718000 2723436 2751975 2783232 2799360 2885760 2899200 2916000 2921832 2935440 2952450 2972133 3006000 3026040 3043575 3057750 3078144 3110400 3131136 3149280 3152125 3206400 3227776 3246480 3261600 3280500 3287061 3302370 3359232 3381750 3404295 3456000 3462912 3479040 3499200 3522528 3607200 3624000 3631248 3652290 3669300 3732480 3779136 3782550 3847680 3865600 3888000 3895776 3913920 3936600 3962844 4008000 4034720 4058100 4077000 4085154 4147200 4174848 4199040 4275200 4328640 4348800 4374000 4382748 4403160 4478976 4509000 4539060 4586625 4617216 4638720 4665600 4696704 4723920 4809600 4832000 4841664 4869720 4892400 4920750 4953555 5038848 5043400 5072625 5130240 5184000 5194368 5218560 5248800 5283792 5344000 5410800 5436000 5446872 5478435 5503950 5598720 5673825 5771520 5798400 5832000 5843664 5870880 5904900 5944266 6012000 6052080 6087150 6115500 6127731 6220800 6262272 6298560 6304250 6412800 6455552 6492960 6523200 6561000 6574122 6604740 6718464 6763500 6808590 6912000 6925824 6958080 6998400 7045056 7214400 7248000 7262496 7304580 7338600 7381125 7464960 7558272 7565100 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17530992 17612640 17832798 18036000 18156240 18261450 18346500 18383193 18662400 18786816 18895680 18912750 19238400 19328000 19366656 19478880 19569600 19683000 19722366 19814220 20155392 20173600 20290500 20425770 20736000 20777472 20874240 20995200 21135168 21376000 21643200 21744000 21787488 21913740 22015800 22394880 22695300 23086080 23193600 23328000 23374656 23483520 23619600 23777064 24048000 24208320 24348600 24462000 24510924 24767775 25049088 25194240 25217000 25651200 25822208 25971840 26092800 26244000 26296488 26418960 27054000 27234360 27392175 27519750 27703296 27993600 28180224 28369125 28857600 28992000 29049984 29218320 29354400 29524500 29721330 30233088 30260400 30435750 30638655 31104000 31166208 31311360 31492800 31702752 32064000 32277760 32464800 32616000 32681232 32870610 33023700 33592320 34042950 34629120 34790400 34992000 35061984 35225280 35665596 36072000 36312480 36522900 36693000 36766386 37324800 37573632 37791360 37825500 38476800 38656000 38733312 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15686991360 15777892800 15851376000 15883078752 16340616000 16544873700 16829752320 16908134400 17429990400 17530992000 17647865280 17832798000 18260785152 18383193000 18699724800 18824389632 19021651200 19366656000 19608739200 19722366000 19853848440 20195702784 20681092125 20915988480 21037190400 21135168000 21177438336 21787488000 22059831600 22825981440 23374656000 23530487040 23777064000 23824618128 24510924000 24817310550 25244628480 25362201600 26144985600 26296488000 26471797920 27574789500 28049587200 28180224000 28236584448 28532476800 29049984000 29413108800 29780772660 30434641920 31166208000 31373982720 31555785600 31702752000 31766157504 32681232000 33089747400 33659504640 34859980800 35061984000 35295730560 35665596000 36766386000 37225965825 37648779264 38043302400 39217478400 39444732000 39707696880 41362184250 42074380800 42270336000 42354876672 43574976000 44119663200 45651962880 46749312000 47060974080 47554128000 47649236256 49021848000 49634621100 50489256960 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238246181280 248173105500 252446284800 253622016000 254129260032 261449856000 264717979200 280495872000 282365844480 285324768000 294131088000 297807726600 313739827200 315557856000 317661575040 330897474000 338839013376 352957305600 372259658250 380433024000 381193890048 392174784000 397076968800 420743808000 423548766720 441196632000 456519628800 470609740800 476492362560 496346211000 504892569600 508258520064 522899712000 529435958400 564731688960 570649536000 588262176000 595615453200 631115712000 635323150080 661794948000 705914611200 744519316500 760866048000 762387780096 784349568000 794153937600 841487616000 847097533440 882393264000 941219481600 952984725120 992692422000 1016517040128 1058871916800 1141299072000 1176524352000 1191230906400 1262231424000 1270646300160 1323589896000 1411829222400 1489038633000 1524775560192 1568699136000 1588307875200 1694195066880 1764786528000 1905969450240 1985384844000 2117743833600 2282598144000 2353048704000 2382461812800 2524462848000 2541292600320 2647179792000 2823658444800 2978077266000 3049551120384 3176615750400 3529573056000 3811938900480 3970769688000 4235487667200 4706097408000 4764923625600 5082585200640 5294359584000 5956154532000 6353231500800 7059146112000 7623877800960 7941539376000 8470975334400 9529847251200 10588719168000 11912309064000 12706463001600 14118292224000 15247755601920 15883078752000 19059694502400 21177438336000 23824618128000 25412926003200 31766157504000 38119389004800 42354876672000 47649236256000 63532315008000 76238778009600 95298472512000 127064630016000 190596945024000 381193890048000
- Sum of all divisors σ(n): 1444883157768960
- Sum of proper divisors (its aliquot sum) s(n): 1063689267720960
- 381193890048000 is an abundant number, because the sum of its proper divisors (1063689267720960) is greater than itself. Its abundance is 682495377672960
Bases of 381193890048000
- Binary: 10101101010110001100111100110100000101000000000002
- Hexadecimal: 0x15AB19E682800
- Base-36: 3R4E200000
Squares and roots of 381193890048000
- 381193890048000 squared (3811938900480002) is 145308781809926713442304000000
- 381193890048000 cubed (3811938900480003) is 55390819796262026038863634567790592000000000
-
The
square root of 381193890048000 is 19524187.3082594657 -
The
cube root of 381193890048000 is 72507.3406787155
Scales and comparisons
How big is 381193890048000?- 381,193,890,048,000 seconds is equal to 12,120,786 years, 30 weeks, 6 days.
-
To count from 1 to 381,193,890,048,000 would take you about thirty million, three hundred one thousand, nine hundred sixty-six 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 381193890048000 cubic inches would be around 6042.3 feet tall.
Recreational maths with 381193890048000
- 381193890048000 backwards is 000840098391183
- 381193890048000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 381193890048000's digits is 54
- More coming soon!
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The information we have on file for 381193890048000 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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