48083649048000
48,083,649,048,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48083649048000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
48083649048000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 48083649048000:
26 × 32 × 53 × 17 × 41 × 307 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 41 × 307 × 3121)See below for interesting mathematical facts about the number 48083649048000 from the Numbermatics database.
Names of 48083649048000
- Cardinal: 48083649048000 can be written as Forty-eight trillion, eighty-three billion, six hundred forty-nine million, forty-eight thousand.
Scientific notation
- Scientific notation: 4.8083649048 × 1013
Factors of 48083649048000
Divisors of 48083649048000
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 32 34 36 40 41 45 48 50 51 60 64 68 72 75 80 82 85 90 96 100 102 120 123 125 136 144 150 153 160 164 170 180 192 200 204 205 225 240 246 250 255 272 288 300 306 307 320 328 340 360 369 375 400 408 410 425 450 480 492 500 510 544 576 600 612 614 615 656 680 697 720 738 750 765 800 816 820 850 900 921 960 984 1000 1020 1025 1088 1125 1200 1224 1228 1230 1275 1312 1360 1394 1440 1476 1500 1530 1535 1600 1632 1640 1700 1800 1842 1845 1968 2000 2040 2050 2091 2125 2250 2400 2448 2456 2460 2550 2624 2720 2763 2788 2880 2952 3000 3060 3070 3075 3121 3264 3280 3400 3485 3600 3684 3690 3825 3936 4000 4080 4100 4182 4250 4500 4605 4800 4896 4912 4920 5100 5125 5219 5440 5526 5576 5904 6000 6120 6140 6150 6242 6273 6375 6560 6800 6970 7200 7368 7380 7650 7675 7872 8000 8160 8200 8364 8500 9000 9210 9225 9363 9792 9824 9840 10200 10250 10438 10455 11052 11152 11808 12000 12240 12280 12300 12484 12546 12587 12750 13120 13600 13815 13940 14400 14736 14760 15300 15350 15375 15605 15657 16320 16400 16728 17000 17425 18000 18420 18450 18726 19125 19648 19680 20400 20500 20876 20910 22104 22304 23025 23616 24000 24480 24560 24600 24968 25092 25174 25500 26095 27200 27630 27880 28089 29472 29520 30600 30700 30750 31210 31314 31365 32800 33456 34000 34850 36000 36840 36900 37452 37761 38250 38375 39360 40800 41000 41752 41820 44208 44608 46050 46125 46815 46971 48960 49120 49200 49936 50184 50348 51000 52190 52275 53057 55260 55760 56178 58944 59040 61200 61400 61500 62420 62628 62730 62935 65600 66912 68000 69075 69700 72000 73680 73800 74904 75522 76500 76750 78025 78285 81600 82000 83504 83640 87125 88416 92100 92250 93630 93942 98240 98400 99872 100368 100696 102000 104380 104550 106114 110520 111520 112356 113283 115125 118080 122400 122800 123000 124840 125256 125460 125870 127961 130475 133824 136000 138150 139400 140445 147360 147600 149808 151044 153000 153500 156050 156570 156825 159171 164000 167008 167280 174250 176832 184200 184500 187260 187884 188805 196800 199744 200736 201392 204000 208760 209100 212228 213979 221040 223040 224712 226566 230250 234075 234855 244800 245600 246000 249680 250512 250920 251740 255922 260950 261375 265285 276300 278800 280890 294720 295200 299616 302088 306000 307000 312100 313140 313650 314675 318342 328000 334016 334560 345375 348500 368400 369000 374520 375768 377610 383883 390125 391425 401472 402784 408000 417520 418200 424456 427958 442080 449424 453132 460500 468150 469710 477513 491200 492000 499360 501024 501840 503480 511844 521900 522750 530570 552600 557600 561780 566415 590400 599232 604176 612000 614000 624200 626280 627300 629350 636684 639805 641937 652375 669120 690750 697000 702225 736800 738000 749040 751536 755220 767766 780250 782850 784125 795855 805568 835040 836400 848912 855916 884160 898848 906264 921000 936300 939420 944025 955026 958147 984000 998720 1002048 1003680 1006960 1023688 1043800 1045500 1061140 1069895 1105200 1115200 1123560 1132830 1151649 1170375 1174275 1208352 1224000 1228000 1248400 1252560 1254600 1258700 1273368 1279610 1283874 1304750 1326425 1381500 1394000 1404450 1473600 1476000 1498080 1503072 1510440 1535532 1560500 1565700 1568250 1573375 1591710 1670080 1672800 1697824 1711832 1797696 1812528 1842000 1872600 1878840 1888050 1910052 1916294 1919415 1925811 1957125 2007360 2013920 2047376 2087600 2091000 2122280 2139790 2175337 2210400 2247120 2265660 2303298 2340750 2348550 2387565 2416704 2456000 2496800 2505120 2509200 2517400 2546736 2559220 2567748 2609500 2652850 2763000 2788000 2808900 2832075 2874441 2952000 2996160 3006144 3020880 3071064 3121000 3131400 3136500 3146750 3183420 3199025 3209685 3345600 3395648 3423664 3511125 3625056 3684000 3745200 3757680 3776100 3820104 3832588 3838830 3851622 3914250 3979275 4027840 4094752 4175200 4182000 4244560 4279580 4350674 4420800 4494240 4531320 4606596 4681500 4697100 4720125 4775130 4790735 4993600 5010240 5018400 5034800 5093472 5118440 5135496 5219000 5305700 5349475 5526000 5576000 5617800 5664150 5748882 5758245 5871375 6041760 6142128 6242000 6262800 6273000 6293500 6366840 6398050 6419370 6526011 6632125 6847328 7022250 7250112 7368000 7490400 7515360 7552200 7640208 7665176 7677660 7703244 7828500 7958550 8189504 8350400 8364000 8489120 8559160 8623323 8701348 8988480 9062640 9213192 9363000 9394200 9440250 9550260 9581470 9597075 9629055 10036800 10069600 10186944 10236880 10270992 10438000 10611400 10698950 10876685 11052000 11235600 11328300 11497764 11516490 11742750 11937825 12083520 12284256 12484000 12525600 12546000 12587000 12733680 12796100 12838740 13052022 13264250 13694656 14044500 14160375 14372205 14980800 15030720 15104400 15280416 15330352 15355320 15406488 15657000 15917100 15995125 16048425 16288499 16728000 16978240 17118320 17246646 17402696 18125280 18426384 18726000 18788400 18880500 19100520 19162940 19194150 19258110 19578033 19896375 20139200 20473760 20541984 20876000 21222800 21397900 21753370 22104000 22471200 22656600 22995528 23032980 23485500 23875650 23953675 24568512 24968000 25051200 25092000 25174000 25467360 25592200 25677480 26104044 26528500 26747375 28089000 28320750 28744410 28791225 30208800 30560832 30660704 30710640 30812976 31314000 31834200 31990250 32096850 32576998 32630055 34236640 34493292 34805392 36250560 36852768 37452000 37576800 37761000 38201040 38325880 38388300 38516220 39156066 39284027 39792750 40947520 41083968 41752000 42445600 42795800 43116615 43506740 44942400 45313200 45991056 46065960 46971000 47751300 47907350 47985375 48145275 48865497 50184000 50348000 50934720 51184400 51354960 52208088 53057000 53494750 54383425 56178000 56641500 57488820 57582450 59689125 60417600 61321408 61421280 61625952 62628000 63668400 63980500 64193700 65153996 65260110 68473280 68986584 69610784 71861025 73705536 74904000 75153600 75522000 76402080 76651760 76776600 77032440 78312132 78568054 79585500 80242125 81442495 84891200 85591600 86233230 87013480 90626400 91982112 92131920 93942000 95502600 95814700 95970750 96290550 97730994 97890165 100696000 102368800 102709920 104416176 106114000 106989500 108766850 112356000 113283000 114977640 115164900 117852081 119378250 119768375 122842560 123251904 125256000 127336800 127961000 128387400 130307992 130520220 137973168 139221568 143722050 143956125 146596491 151044000 152804160 153303520 153553200 154064880 156624264 157136108 159171000 160484250 162884990 163150275 171183200 172466460 174026960 181252800 183964224 184263840 187884000 191005200 191629400 191941500 192581100 195461988 195780330 196420135 204737600 205419840 208832352 212228000 213979000 215583075 217533700 224712000 226566000 229955280 230329800 235704162 238756500 239536750 240726375 244327485 254673600 255922000 256774800 260615984 261040440 271917125 275946336 287444100 287912250 293192982 302088000 306607040 307106400 308129760 313248528 314272216 318342000 320968500 325769980 326300550 342366400 344932920 348053920 353556243 359305125 368527680 375768000 382010400 383258800 383883000 385162200 390923976 391560660 392840270 407212475 417664704 424456000 427958000 431166150 435067400 453132000 459910560 460659600 471408324 477513000 479073500 481452750 488654970 489450825 511844000 513549600 521231968 522080880 543834250 551892672 574888200 575824500 586385964 589260405 614212800 616259520 626497056 628544432 636684000 641937000 651539960 652601100 667828459 689865840 696107840 707112486 718610250 732982455 764020800 766517600 767766000 770324400 781847952 783121320 785680540 814424950 815751375 855916000 862332300 870134800 906264000 919821120 921319200 942816648 955026000 958147000 962905500 977309940 978901650 982100675 1023688000 1027099200 1042463936 1044161760 1077915375 1087668500 1149776400 1151649000 1172771928 1178520810 1221637425 1252994112 1257088864 1273368000 1283874000 1303079920 1305202200 1335656918 1379731680 1414224972 1437220500 1465964910 1533035200 1535532000 1540648800 1563695904 1566242640 1571361080 1628849900 1631502750 1711832000 1724664600 1740269600 1767781215 1842638400 1885633296 1910052000 1916294000 1925811000 1954619880 1957803300 1964201350 2003485377 2036062375 2088323520 2155830750 2175337000 2299552800 2303298000 2345543856 2357041620 2443274850 2447254125 2514177728 2567748000 2606159840 2610404400 2671313836 2759463360 2828449944 2874441000 2931929820 2946302025 3071064000 3081297600 3127391808 3132485280 3142722160 3257699800 3263005500 3339142295 3449329200 3480539200 3535562430 3664912275 3771266592 3820104000 3832588000 3851622000 3909239760 3915606600 3928402700 4006970754 4072124750 4311661500 4350674000 4599105600 4606596000 4691087712 4714083240 4886549700 4894508250 4910503375 5135496000 5212319680 5220808800 5342627672 5656899888 5748882000 5863859640 5892604050 6010456131 6108187125 6264970560 6285444320 6515399600 6526011000 6678284590 6898658400 7071124860 7329824550 7542533184 7665176000 7703244000 7818479520 7831213200 7856805400 8013941508 8144249500 8623323000 8701348000 8838906075 9213192000 9382175424 9428166480 9773099400 9789016500 9821006750 10017426885 10441617600 10685255344 11313799776 11497764000 11727719280 11785208100 12020912262 12216374250 12570888640 13030799200 13052022000 13356569180 13797316800 14142249720 14659649100 14731510125 15406488000 15636959040 15662426400 15713610800 16027883016 16288499000 16695711475 17246646000 17402696000 17677812150 18324561375 18856332960 19546198800 19578033000 19642013500 20034853770 21370510688 22627599552 22995528000 23455438560 23570416200 24041824524 24432748500 26061598400 26104044000 26713138360 28284499440 29319298200 29463020250 30052280655 31324852800 31427221600 32055766032 32576998000 33391422950 34493292000 35355624300 36649122750 37712665920 39092397600 39156066000 39284027000 40069707540 42741021376 44194530375 46910877120 47140832400 48083649048 48865497000 50087134425 52208088000 53426276720 56568998880 58638596400 58926040500 60104561310 62854443200 64111532064 65153996000 66782845900 68986584000 70711248600 73298245500 78184795200 78312132000 78568054000 80139415080 83478557375 88389060750 94281664800 96167298096 97730994000 100174268850 106852553440 113137997760 117277192800 117852081000 120209122620 128223064128 130307992000 133565691800 141422497200 146596491000 150261403275 156624264000 157136108000 160278830160 166957114750 176778121500 188563329600 192334596192 195461988000 200348537700 213705106880 234554385600 235704162000 240418245240 250435672125 267131383600 282844994400 293192982000 300522806550 314272216000 320557660320 333914229500 353556243000 384669192384 390923976000 400697075400 471408324000 480836490480 500871344250 534262767200 565689988800 586385964000 601045613100 641115320640 667828459000 707112486000 751307016375 801394150800 942816648000 961672980960 1001742688500 1068525534400 1172771928000 1202091226200 1335656918000 1414224972000 1502614032750 1602788301600 1923345961920 2003485377000 2404182452400 2671313836000 2828449944000 3005228065500 3205576603200 4006970754000 4808364904800 5342627672000 6010456131000 8013941508000 9616729809600 12020912262000 16027883016000 24041824524000 48083649048000
- Sum of all divisors σ(n): 187230709201536
- Sum of proper divisors (its aliquot sum) s(n): 139147060153536
- 48083649048000 is an abundant number, because the sum of its proper divisors (139147060153536) is greater than itself. Its abundance is 91063411105536
Bases of 48083649048000
- Binary: 10101110111011010110001101001000101101110000002
- Hexadecimal: 0x2BBB58D22DC0
- Base-36: H1LBN5RK0
Squares and roots of 48083649048000
- 48083649048000 squared (480836490480002) is 2312037305771231306304000000
- 48083649048000 cubed (480836490480003) is 111171190396587351107152125998592000000000
-
The
square root of 48083649048000 is 6934237.4525249711 -
The
cube root of 48083649048000 is 36363.5107728405
Scales and comparisons
How big is 48083649048000?- 48,083,649,048,000 seconds is equal to 1,528,911 years, 15 weeks, 6 days, 20 hours.
-
To count from 1 to 48,083,649,048,000 would take you about three million, eight hundred twenty-two thousand, two hundred seventy-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 48083649048000 cubic inches would be around 3030.3 feet tall.
Recreational maths with 48083649048000
- 48083649048000 backwards is 00084094638084
- The number of decimal digits it has is: 14
- The sum of 48083649048000's digits is 54
- More coming soon!
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The information we have on file for 48083649048000 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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