48201438768000
48,201,438,768,000 is an even composite number composed of six prime numbers multiplied together.
48201438768000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 48201438768000:
27 × 3 × 53 × 74 × 41 × 1012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 41 × 101 × 101)See below for interesting mathematical facts about the number 48201438768000 from the Numbermatics database.
Names of 48201438768000
- Cardinal: 48201438768000 can be written as Forty-eight trillion, two hundred one billion, four hundred thirty-eight million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.8201438768 × 1013
Factors of 48201438768000
Divisors of 48201438768000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 41 42 48 49 50 56 60 64 70 75 80 82 84 96 98 100 101 105 112 120 123 125 128 140 147 150 160 164 168 175 192 196 200 202 205 210 224 240 245 246 250 280 287 294 300 303 320 328 336 343 350 375 384 392 400 404 410 420 448 480 490 492 500 505 525 560 574 588 600 606 615 640 656 672 686 700 707 735 750 784 800 808 820 840 861 875 896 960 980 984 1000 1010 1025 1029 1050 1120 1148 1176 1200 1212 1225 1230 1312 1344 1372 1400 1414 1435 1470 1500 1515 1568 1600 1616 1640 1680 1715 1722 1750 1920 1960 1968 2000 2009 2020 2050 2058 2100 2121 2240 2296 2352 2400 2401 2424 2450 2460 2525 2624 2625 2688 2744 2800 2828 2870 2940 3000 3030 3075 3136 3200 3232 3280 3360 3430 3444 3500 3535 3675 3920 3936 4000 4018 4040 4100 4116 4141 4200 4242 4305 4480 4592 4704 4800 4802 4848 4900 4920 4949 5050 5125 5145 5248 5250 5488 5600 5656 5740 5880 6000 6027 6060 6125 6150 6272 6464 6560 6720 6860 6888 7000 7070 7175 7203 7350 7575 7840 7872 8000 8036 8080 8200 8232 8282 8400 8484 8575 8610 9184 9408 9600 9604 9696 9800 9840 9898 10045 10100 10201 10250 10290 10500 10605 10976 11200 11312 11480 11760 12000 12005 12054 12120 12250 12300 12423 12625 12928 13120 13440 13720 13776 14000 14063 14140 14350 14406 14700 14847 15150 15375 15680 15744 16000 16072 16160 16400 16464 16564 16800 16968 17150 17220 17675 18368 18375 18816 19208 19392 19600 19680 19796 20090 20200 20402 20500 20580 20705 21000 21210 21525 21952 22400 22624 22960 23520 24000 24010 24108 24240 24500 24600 24745 24846 25250 25725 26240 27440 27552 28000 28126 28280 28700 28812 28987 29400 29694 30135 30300 30603 30750 31360 32144 32320 32800 32928 33128 33600 33936 34300 34440 34643 35350 35875 36015 36736 36750 37875 38416 38784 39200 39360 39592 40180 40400 40804 41000 41160 41410 42000 42189 42420 42875 43050 43904 45248 45920 47040 48000 48020 48216 48480 49000 49200 49490 49692 50225 50500 51005 51450 53025 54880 55104 56000 56252 56560 57400 57624 57974 58800 59388 60025 60270 60600 61206 61500 62115 64288 64640 65600 65856 66256 67200 67872 68600 68880 69286 70315 70700 71407 71750 72030 73500 74235 75750 76832 78400 78720 79184 80360 80800 81608 82000 82320 82820 84000 84378 84840 85750 86100 86961 88375 90496 91840 94080 96040 96432 96960 98000 98400 98441 98980 99384 100450 101000 102010 102900 103525 103929 106050 107625 109760 110208 112000 112504 113120 114800 115248 115948 117600 118776 120050 120540 121200 122412 123000 123725 124230 128576 128625 131200 131712 132512 135744 137200 137760 138572 140630 141400 142814 143500 144060 144935 147000 148470 150675 151500 153015 153664 156800 158368 160720 161600 163216 164000 164640 165640 168000 168756 169680 171500 172200 173215 173922 176750 180075 183680 192080 192864 193920 196000 196800 196882 197960 198768 200900 202000 202909 204020 205800 207050 207858 210945 212100 214221 215250 219520 225008 226240 229600 230496 231896 235200 237552 240100 241080 242400 242501 244824 246000 247450 248460 251125 255025 257152 257250 265024 265125 271488 274400 275520 277144 281260 282800 285628 287000 288120 289870 294000 295323 296940 300125 301350 303000 306030 307328 310575 316736 321440 323200 326432 328000 329280 331280 336000 337512 339360 343000 344400 346430 347844 351575 353500 357035 360150 371175 384160 385728 392000 393600 393764 395920 397536 401800 404000 405818 408040 411600 414100 415716 418241 421890 424200 428442 430500 434805 450016 452480 459200 460992 463792 470400 475104 480200 482160 484800 485002 489648 492000 492205 494900 496920 499849 502250 510050 514500 517625 519645 530048 530250 548800 551040 554288 562520 565600 571256 574000 576240 579740 588000 590646 593880 600250 602700 606000 608727 612060 618625 621150 633472 642880 652864 656000 658560 662560 675024 678720 686000 688800 692860 695688 703150 707000 714070 720300 724675 727503 742350 753375 765075 768320 771456 784000 787528 791840 795072 803600 808000 811636 816080 823200 828200 831432 836482 843780 848400 856884 861000 866075 869610 900032 900375 918400 921984 927584 950208 960400 964320 969600 970004 979296 984000 984410 989800 993840 999698 1004500 1014545 1020100 1029000 1035250 1039290 1054725 1060500 1071105 1097600 1108576 1125040 1131200 1142512 1148000 1152480 1159480 1176000 1181292 1187760 1200500 1205400 1212000 1212505 1217454 1224120 1237250 1242300 1254723 1275125 1285760 1305728 1325120 1350048 1357440 1372000 1377600 1385720 1391376 1406300 1414000 1420363 1428140 1440600 1449350 1455006 1476615 1484700 1499547 1506750 1530150 1536640 1552875 1575056 1583680 1590144 1607200 1616000 1623272 1632160 1646400 1656400 1662864 1672964 1687560 1696800 1713768 1722000 1732150 1739220 1757875 1785175 1800064 1800750 1855168 1855875 1900416 1920800 1928640 1940008 1958592 1968000 1968820 1979600 1987680 1999396 2009000 2029090 2040200 2058000 2070500 2078580 2091205 2109450 2121000 2142210 2174025 2217152 2250080 2262400 2285024 2296000 2304960 2318960 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6211500 6273615 6300224 6428800 6493088 6528640 6625600 6651456 6691856 6750240 6787200 6855072 6888000 6928600 6956880 6997886 7031500 7101815 7140700 7203000 7246750 7275030 7383075 7423500 7497735 7650750 7683200 7760032 7875280 7918400 7950720 7997584 8036000 8116360 8160800 8232000 8282000 8314320 8364820 8437800 8484000 8522178 8568840 8660750 8696100 8783061 8925875 9000320 9140096 9275840 9450336 9502080 9604000 9643200 9700040 9739632 9792960 9844100 9898000 9938400 9942541 9996980 10037784 10145450 10201000 10392900 10456025 10496829 10547250 10711050 10870125 11085760 11131008 11250400 11312000 11362904 11425120 11524800 11594800 11640048 11710748 11812920 11877600 11996376 12054000 12125050 12174540 12241200 12305125 12423000 12496225 12547230 12600448 12986176 12991125 13251200 13302912 13383712 13500480 13710144 13776000 13857200 13913760 13995772 14063000 14203630 14281400 14406000 14493500 14550060 14638435 14766150 14847000 14995470 15218175 15301500 15520064 15750560 15836800 15995168 16072000 16232720 16321600 16464000 16564000 16628640 16729640 16875600 16968000 17044356 17137680 17321500 17392200 17494715 17566122 17851750 18187575 18551680 18900672 19208000 19286400 19400080 19479264 19585920 19688200 19796000 19876800 19885082 19993960 20075568 20290900 20402000 20493809 20785800 20912050 20993658 21094500 21305445 21422100 21740250 22171520 22500800 22725808 22850240 23049600 23189600 23280096 23421496 23625840 23755200 23992752 24108000 24250100 24349080 24482400 24492601 24610250 24846000 24992450 25094460 25363625 25972352 25982250 26767424 26777625 27000960 27420288 27714400 27827520 27991544 28126000 28407260 28562800 28812000 28987000 29100120 29276870 29532300 29694000 29827623 29990940 30312625 30436350 30603000 31040128 31368075 31501120 31990336 32144000 32465440 32643200 33128000 33257280 33459280 33751200 33936000 34088712 34275360 34643000 34784400 34989430 35132244 35509075 35703500 36375150 36915375 37488675 37801344 38416000 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96432000 97000400 97396320 97929600 97970404 98441000 99384000 99425410 99969800 100377840 101454500 102469045 103929000 104560250 104968290 106527225 107110500 110857600 111966176 112504000 113629040 114251200 115248000 115948000 116400480 117107480 118129200 118776000 119310492 119963760 121250500 121745400 122412000 122463005 122962854 124962250 125472300 129861760 133837120 135004800 136354848 137101440 138572000 139137600 139957720 140528976 142036300 142814000 143456663 145500600 146384350 146955606 147661500 149138115 149954700 152181750 155200640 156840375 157505600 159080656 159951680 160604544 162327200 163216000 163950472 166286400 167296400 167949264 168756000 170443560 171376800 173922000 174947150 175661220 177545375 181806464 181875750 187371968 187443375 189006720 191942016 194000800 194792640 195940808 196882000 198768000 198850820 199939600 200755680 202909000 204938090 207858000 209120500 209936580 213054450 214221000 219576525 223932352 225008000 227258080 228502400 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1623272000 1639504720 1662864000 1672964000 1679492640 1704435600 1713768000 1721479956 1749471500 1756612200 1836945075 1873719680 1908967872 1940008000 1947926400 1959408080 1967405664 1988508200 1999396000 2007556800 2008393282 2049380900 2099365800 2130544500 2151849945 2195765250 2239323520 2272580800 2295306608 2328009600 2342149600 2351289696 2362584000 2386209840 2399275200 2434908000 2449260100 2459257080 2485635250 2509446000 2561726125 2623207552 2624207250 2727096960 2799154400 2810579520 2840726000 2869133260 2910012000 2927687000 2939112120 2982762300 2999094000 3012589923 3061575125 3074071350 3135052928 3181613120 3246544000 3279009440 3345928000 3358985280 3408871200 3427536000 3442959912 3498943000 3513224400 3586416575 3673890150 3728452875 3817935744 3880016000 3918816160 3934811328 3977016400 3998792000 4015113600 4016786564 4098761800 4198731600 4261089000 4303699890 4391530500 4545161600 4590613216 4684299200 4702579392 4725168000 4772419680 4798550400 4869816000 4898520200 4918514160 4971270500 5018892000 5020983205 5123452250 5248414500 5598308800 5621159040 5681452000 5738266520 5820024000 5855374000 5878224240 5965524600 5998188000 6025179846 6123150250 6148142700 6363226240 6558018880 6691856000 6717970560 6817742400 6885919824 6997886000 7026448800 7172833150 7347780300 7456905750 7685178375 7837632320 7869622656 7954032800 7997584000 8033573128 8197523600 8397463200 8522178000 8607399780 8783061000 9181226432 9184725375 9368598400 9405158784 9544839360 9739632000 9797040400 9837028320 9942541000 10037784000 10041966410 10246904500 10496829000 10759249725 11196617600 11362904000 11476533040 11640048000 11710748000 11756448480 11931049200 11996376000 12050359692 12246300500 12296285400 13116037760 13635484800 13771839648 13995772000 14052897600 14345666300 14695560600 14913811500 15062949615 15370356750 15675264640 15908065600 16067146256 16395047200 16794926400 17044356000 17214799560 17566122000 17932082875 18362452864 18369450750 19089678720 19594080800 19674056640 19885082000 20075568000 20083932820 20493809000 20993658000 21518499450 22725808000 22953066080 23421496000 23512896960 23862098400 23992752000 24100719384 24492601000 24592570800 25104916025 27543679296 27991544000 28105795200 28691332600 29391121200 29827623000 30125899230 30740713500 31816131200 32134292512 32790094400 33589852800 34088712000 34429599120 35132244000 35864165750 36738901500 39188161600 39348113280 39770164000 40167865640 40987618000 41987316000 43036998900 45906132160 46842992000 47025793920 47724196800 48201438768 48985202000 49185141600 50209832050 53796248625 55087358592 55983088000 57382665200 58782242400 59655246000 60251798460 61481427000 64268585024 65580188800 68177424000 68859198240 70264488000 71728331500 73477803000 75314748075 78376323200 79540328000 80335731280 81975236000 83974632000 86073997800 91812264320 95448393600 96402877536 97970404000 98370283200 100419664100 107592497250 114765330400 117564484800 119310492000 120503596920 122962854000 125524580125 128537170048 137718396480 140528976000 143456663000 146955606000 150629496150 159080656000 160671462560 163950472000 167949264000 172147995600 192805755072 195940808000 196740566400 200839328200 215184994500 229530660800 235128969600 238620984000 241007193840 245925708000 251049160250 275436792960 286913326000 293911212000 301258992300 321342925120 327900944000 344295991200 376573740375 385611510144 391881616000 401678656400 430369989000 459061321600 477241968000 482014387680 491851416000 502098320500 573826652000 587822424000 602517984600 642685850240 688591982400 753147480750 803357312800 860739978000 964028775360 983702832000 1004196641000 1147653304000 1175644848000 1205035969200 1377183964800 1506294961500 1606714625600 1721479956000 1928057550720 2008393282000 2295306608000 2410071938400 3012589923000 3213429251200 3442959912000 4016786564000 4820143876800 6025179846000 6885919824000 8033573128000 9640287753600 12050359692000 16067146256000 24100719384000 48201438768000
- Sum of all divisors σ(n): 192863866497120
- Sum of proper divisors (its aliquot sum) s(n): 144662427729120
- 48201438768000 is an abundant number, because the sum of its proper divisors (144662427729120) is greater than itself. Its abundance is 96460988961120
Bases of 48201438768000
- Binary: 10101111010110110001011010001010101011100000002
- Hexadecimal: 0x2BD6C5A2AB80
- Base-36: H33FO496O
Squares and roots of 48201438768000
- 48201438768000 squared (482014387680002) is 2323378699305253357824000000
- 48201438768000 cubed (482014387680003) is 111990196109437653867879929720832000000000
-
The
square root of 48201438768000 is 6942725.6007997323 -
The
cube root of 48201438768000 is 36393.1795899631
Scales and comparisons
How big is 48201438768000?- 48,201,438,768,000 seconds is equal to 1,532,656 years, 34 weeks, 18 hours, 40 minutes.
-
To count from 1 to 48,201,438,768,000 would take you about three million, eight hundred thirty-one thousand, six hundred forty-one 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 48201438768000 cubic inches would be around 3032.8 feet tall.
Recreational maths with 48201438768000
- 48201438768000 backwards is 00086783410284
- The number of decimal digits it has is: 14
- The sum of 48201438768000's digits is 51
- More coming soon!
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The information we have on file for 48201438768000 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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