48640097025000
48,640,097,025,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 48640097025000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1800 divisors.
48640097025000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 48640097025000:
23 × 34 × 55 × 134 × 292
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 13 × 13 × 29 × 29)See below for interesting mathematical facts about the number 48640097025000 from the Numbermatics database.
Names of 48640097025000
- Cardinal: 48640097025000 can be written as Forty-eight trillion, six hundred forty billion, ninety-seven million, twenty-five thousand.
Scientific notation
- Scientific notation: 4.8640097025 × 1013
Factors of 48640097025000
Divisors of 48640097025000
- Number of divisors d(n): 1800
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 27 29 30 36 39 40 45 50 52 54 58 60 65 72 75 78 81 87 90 100 104 108 116 117 120 125 130 135 145 150 156 162 169 174 180 195 200 216 225 232 234 250 260 261 270 290 300 312 324 325 338 348 351 360 375 377 390 405 435 450 468 500 507 520 522 540 580 585 600 625 648 650 675 676 696 702 725 750 754 780 783 810 841 845 870 900 936 975 1000 1014 1044 1053 1080 1125 1131 1160 1170 1250 1300 1305 1350 1352 1404 1450 1500 1508 1521 1560 1566 1620 1625 1682 1690 1740 1755 1800 1875 1885 1950 2025 2028 2088 2106 2175 2197 2250 2262 2340 2349 2500 2523 2535 2600 2610 2700 2808 2900 2925 3000 3016 3042 3125 3132 3240 3250 3364 3375 3380 3393 3480 3510 3625 3750 3770 3900 3915 4050 4056 4205 4212 4225 4350 4394 4500 4524 4563 4680 4698 4875 4901 5000 5046 5070 5220 5265 5400 5625 5655 5800 5850 6084 6250 6264 6500 6525 6591 6728 6750 6760 6786 7020 7250 7500 7540 7569 7605 7800 7830 8100 8125 8410 8424 8450 8700 8775 8788 9000 9048 9126 9375 9396 9425 9750 9802 10092 10125 10140 10179 10440 10530 10875 10933 10985 11250 11310 11700 11745 12168 12500 12615 12675 13000 13050 13182 13500 13572 13689 14040 14500 14625 14703 15000 15080 15138 15210 15660 16200 16250 16820 16875 16900 16965 17400 17550 17576 18125 18252 18750 18792 18850 19500 19575 19604 19773 20184 20250 20280 20358 21025 21060 21125 21750 21866 21970 22500 22620 22707 22815 23400 23490 24375 24505 25000 25230 25350 26100 26325 26364 27000 27144 27378 28125 28275 28561 29000 29250 29406 30276 30420 30537 31320 32500 32625 32799 32955 33640 33750 33800 33930 35100 36250 36504 37500 37700 37845 38025 39000 39150 39208 39546 40500 40625 40716 42050 42120 42250 43500 43732 43875 43940 44109 45000 45240 45414 45630 46980 47125 48750 49010 50460 50625 50700 50895 52200 52650 52728 54375 54665 54756 54925 56250 56550 57122 58500 58725 58812 59319 60552 60840 61074 63075 63375 63713 65000 65250 65598 65910 67500 67860 68121 68445 70200 72500 73125 73515 75000 75400 75690 76050 78300 79092 81000 81250 81432 84100 84375 84500 84825 85683 87000 87464 87750 87880 88218 90625 90828 91260 93960 94250 97500 97875 98020 98397 98865 100920 101250 101400 101790 105125 105300 105625 108750 109330 109512 109850 112500 113100 113535 114075 114244 117000 117450 117624 118638 121875 122148 122525 126150 126750 127426 130500 131196 131625 131820 132327 135000 135720 136242 136890 141375 142129 142805 145000 146250 147030 151380 152100 152685 156600 158184 162500 163125 163995 164775 168200 168750 169000 169650 171366 175500 176436 177957 181250 181656 182520 188500 189225 190125 191139 195000 195750 196040 196794 197730 202500 203580 210250 210600 211250 217500 218660 219375 219700 220545 225000 226200 227070 228150 228488 234900 235625 237276 243750 244296 245050 252300 253125 253500 254475 254852 257049 261000 262392 263250 263640 264654 271875 272484 273325 273780 274625 282750 284258 285610 292500 293625 294060 295191 296595 302760 304200 305370 315375 316875 318565 325000 326250 327990 329550 337500 339300 340605 342225 342732 351000 352872 355914 362500 365625 367575 377000 378450 380250 382278 391500 393588 395460 396981 405000 407160 420500 422500 424125 426387 428415 435000 437320 438750 439400 441090 454140 456300 469800 471250 474552 487500 489375 490100 491985 494325 504600 506250 507000 508950 509704 514098 525625 526500 528125 529308 543750 544968 546650 547560 549250 565500 567675 568516 570375 571220 573417 585000 587250 588120 590382 593190 610740 612625 630750 633750 637130 652500 655980 658125 659100 661635 675000 678600 681210 684450 685464 706875 710645 711828 714025 725000 731250 735150 756900 760500 763425 764556 771147 783000 787176 790920 793962 815625 819975 823875 828269 841000 845000 848250 852774 856830 877500 882180 885573 889785 908280 912600 942500 946125 950625 955695 975000 978750 980200 983970 988650 1012500 1017900 1028196 1051250 1053000 1056250 1058616 1087500 1093300 1096875 1098500 1102725 1131000 1135350 1137032 1140750 1142440 1146834 1174500 1178125 1180764 1186380 1221480 1225250 1261500 1267500 1272375 1274260 1279161 1285245 1305000 1311960 1316250 1318200 1323270 1362420 1366625 1368900 1373125 1413750 1421290 1423656 1428050 1462500 1468125 1470300 1475955 1482975 1513800 1521000 1526850 1529112 1542294 1576875 1584375 1587924 1592825 1631250 1639950 1647750 1656538 1696500 1703025 1705548 1711125 1713660 1720251 1755000 1764360 1771146 1779570 1837875 1847677 1885000 1892250 1901250 1911390 1957500 1967940 1977300 1984905 2025000 2035800 2056392 2102500 2112500 2120625 2131935 2142075 2175000 2186600 2193750 2197000 2205450 2270700 2281500 2293668 2313441 2349000 2356250 2361528 2372760 2446875 2450500 2459925 2471625 2484807 2523000 2535000 2544750 2548520 2558322 2570490 2628125 2632500 2646540 2724840 2733250 2737800 2746250 2827500 2838375 2842580 2851875 2856100 2867085 2925000 2936250 2940600 2951910 2965950 3053700 3063125 3084588 3153750 3168750 3175848 3185650 3262500 3279900 3290625 3295500 3308175 3313076 3393000 3406050 3411096 3422250 3427320 3440502 3534375 3542292 3553225 3559140 3570125 3675750 3695354 3784500 3802500 3817125 3822780 3837483 3855735 3915000 3935880 3954600 3969810 4099875 4119375 4141345 4205000 4225000 4241250 4263870 4284150 4387500 4410900 4427865 4448925 4541400 4563000 4587336 4626882 4712500 4730625 4753125 4778475 4893750 4901000 4919850 4943250 4969614 5089500 5116644 5140980 5160753 5256250 5265000 5293080 5466500 5492500 5513625 5543031 5655000 5676750 5685160 5703750 5712200 5734170 5872500 5903820 5931900 6107400 6126250 6169176 6307500 6337500 6361875 6371300 6395805 6426225 6525000 6559800 6581250 6591000 6616350 6626152 6812100 6833125 6844500 6865625 6881004 7068750 7084584 7106450 7118280 7140250 7340625 7351500 7379775 7390708 7414875 7454421 7569000 7605000 7634250 7645560 7674966 7711470 7884375 7939620 7964125 8199750 8238750 8282690 8482500 8515125 8527740 8555625 8568300 8601255 8775000 8821800 8855730 8897850 9189375 9238385 9253764 9425000 9461250 9506250 9556950 9787500 9839700 9886500 9924525 9939228 10179000 10233288 10281960 10321506 10512500 10603125 10659675 10710375 10933000 10985000 11027250 11086062 11353500 11407500 11468340 11512449 11567205 11745000 11807640 11863800 12252500 12299625 12358125 12424035 12615000 12675000 12723750 12742600 12791610 12852450 13162500 13232700 13624200 13666250 13689000 13731250 13762008 14137500 14191875 14212900 14259375 14280500 14335425 14681250 14703000 14759550 14781416 14829750 14908842 15268500 15315625 15349932 15422940 15768750 15879240 15928250 16399500 16477500 16540875 16565380 16629093 16965000 17030250 17055480 17111250 17136600 17202510 17711460 17766125 17795700 17850625 18378750 18476770 18507528 18922500 19012500 19085625 19113900 19187415 19278675 19575000 19679400 19773000 19849050 19878456 20499375 20596875 20643012 20706725 21025000 21206250 21319350 21420750 22054500 22139325 22172124 22244625 22363263 22707000 22815000 22936680 23024898 23134410 23653125 23892375 24019801 24505000 24599250 24716250 24848070 25447500 25583220 25704900 25803765 26325000 26465400 27332500 27462500 27568125 27715155 28275000 28383750 28425800 28518750 28561000 28670850 29362500 29519100 29659500 29817684 30537000 30631250 30699864 30845880 31537500 31809375 31856500 31979025 32131125 32799000 32955000 33081750 33130760 33258186 34060500 34165625 34222500 34405020 35422920 35532250 35591400 35701250 36757500 36898875 36953540 37074375 37272105 37845000 38025000 38171250 38227800 38374830 38557350 39698100 39820625 40998750 41193750 41286024 41413450 42412500 42575625 42638700 42778125 42841500 43006275 44109000 44278650 44344248 44489250 44726526 45946875 46049796 46191925 46268820 47306250 47784750 48039602 49198500 49432500 49622625 49696140 49887279 50895000 51166440 51409800 51607530 53298375 53551875 54665000 54925000 55136250 55430310 56767500 57037500 57341700 57562245 57836025 58725000 59038200 59319000 59635368 61262500 61498125 61790625 62120175 63075000 63618750 63713000 63958050 64262250 66163500 66516372 67089789 68121000 68331250 68445000 68810040 70959375 71064500 71402500 71677125 72059403 73515000 73797750 73907080 74148750 74544210 76342500 76749660 77114700 79396200 79641250 81997500 82387500 82704375 82826900 83145465 84825000 85151250 85277400 85556250 85683000 86012550 88557300 88830625 88978500 89253125 89453052 91893750 92099592 92383850 92537640 94612500 95428125 95569500 95937075 96079204 96393375 98397000 98865000 99245250 99392280 99774558 102496875 103215060 103533625 106596750 107103750 110272500 110696625 110860620 111223125 111816315 113535000 114075000 114683400 115124490 115672050 119461875 120099005 122525000 122996250 123581250 124240350 127237500 127916100 128524500 129018825 132327000 133032744 134179578 136662500 137840625 138575775 141918750 142129000 142805000 143354250 144118806 147595500 148297500 149088420 149661837 152685000 153499320 154229400 159282500 159895125 160655625 163995000 164775000 165408750 165653800 166290930 170302500 171112500 172025100 177114600 177661250 177957000 178506250 178906104 183787500 184494375 184767700 185371875 186360525 189225000 190856250 191139000 191874150 192158408 192786750 198490500 199103125 199549116 204993750 206430120 207067250 212878125 213193500 214207500 215031375 216178209 220545000 221393250 221721240 222446250 223632630 230248980 230959625 231344100 238923750 240198010 245992500 247162500 248113125 248480700 249436395 254475000 255832200 257049000 258037650 266491875 267759375 268359156 273325000 275681250 277151550 283837500 286708500 287811225 288237612 289180125 295191000 296595000 298176840 299323674 307490625 310600875 318565000 319790250 321311250 330817500 332581860 335448945 340605000 342225000 344050200 355322500 357012500 358385625 360297015 367575000 368988750 369535400 370743750 372721050 381712500 383748300 385573500 396981000 398206250 399098232 409987500 413521875 414134500 415727325 425756250 426387000 428415000 430062750 432356418 442786500 444153125 444892500 447265260 460497960 461919250 462688200 477847500 479685375 480396020 481966875 491985000 494325000 496226250 496961400 498872790 516075300 517668125 532983750 535518750 536718312 551362500 553483125 554303100 556115625 559081575 567675000 573417000 575622450 576475224 578360250 597309375 598647348 600495025 614981250 621201750 639580500 642622500 645094125 648534627 661635000 665163720 670897890 692878875 710645000 714025000 716771250 720594030 737977500 741487500 745442100 748309185 763425000 767496600 771147000 796412500 799475625 803278125 819975000 827043750 828269000 831454650 851512500 860125500 864712836 885573000 888306250 889785000 894530520 922471875 923838500 931802625 955695000 959370750 960792040 963933750 992452500 997745580 1032150600 1035336250 1065967500 1071037500 1075156875 1080891045 1102725000 1106966250 1108606200 1112231250 1118163150 1151244900 1154798125 1156720500 1194618750 1197294696 1200990050 1229962500 1240565625 1242403500 1247181975 1279161000 1285245000 1290188250 1297069254 1332459375 1341795780 1385757750 1433542500 1439056125 1441188060 1445900625 1475955000 1482975000 1490884200 1496618370 1553004375 1592825000 1598951250 1606556250 1654087500 1662909300 1677244725 1703025000 1720251000 1729425672 1776612500 1791928125 1801485075 1844943750 1847677000 1863605250 1918741500 1927867500 1945603881 1984905000 1995491160 2070672500 2078636625 2131935000 2142075000 2150313750 2161782090 2213932500 2224462500 2236326300 2302489800 2309596250 2313441000 2389237500 2398426875 2401980100 2409834375 2459925000 2481131250 2484807000 2494363950 2580376500 2588340625 2594138508 2664918750 2683591560 2767415625 2771515500 2795407875 2867085000 2878112250 2882376120 2891801250 2993236740 3002475125 3106008750 3197902500 3213112500 3225470625 3242673135 3308175000 3325818600 3354489450 3464394375 3553225000 3583856250 3602970150 3689887500 3727210500 3741545925 3837483000 3855735000 3891207762 3997378125 4141345000 4157273250 4300627500 4323564180 4427865000 4448925000 4472652600 4619192500 4659013125 4778475000 4796853750 4803960200 4819668750 4962262500 4988727900 5160753000 5176681250 5188277016 5329837500 5375784375 5404455225 5534831250 5543031000 5590815750 5756224500 5773990625 5783602500 5986473480 6004950250 6212017500 6235909875 6395805000 6426225000 6450941250 6485346270 6708978900 6928788750 7167712500 7195280625 7205940300 7229503125 7379775000 7454421000 7483091850 7765021875 7782415524 7994756250 8314546500 8386223625 8601255000 8647128360 9007425375 9238385000 9318026250 9593707500 9639337500 9728019405 9924525000 9977455800 10353362500 10393183125 10659675000 10751568750 10808910450 11069662500 11181631500 11512449000 11547981250 11567205000 11992134375 12009900500 12424035000 12471819750 12901882500 12970692540 13417957800 13857577500 13977039375 14335425000 14390561250 14411880600 14459006250 14966183700 15012375625 15530043750 15564831048 15989512500 16127353125 16213365675 16629093000 16772447250 17321971875 18014850750 18636052500 18707729625 19187415000 19278675000 19456038810 20706725000 20786366250 21503137500 21617820900 22139325000 22363263000 23095962500 23295065625 23984268750 24019801000 24943639500 25803765000 25941385080 27022276125 27715155000 27954078750 28781122500 28918012500 29932367400 30024751250 31060087500 31179549375 31979025000 32254706250 32426731350 33544894500 34643943750 35976403125 36029701500 37272105000 37415459250 38912077620 41572732500 41931118125 43006275000 43235641800 45037126875 46191925000 46590131250 47968537500 48640097025 49887279000 51965915625 54044552250 55908157500 57562245000 57836025000 60049502500 62120175000 62359098750 64509412500 64853462700 67089789000 69287887500 69885196875 71952806250 72059403000 74830918500 75061878125 77824155240 81066828375 83145465000 83862236250 90074253750 93180262500 93538648125 95937075000 97280194050 103931831250 108089104500 111816315000 120099005000 124718197500 129018825000 129706925400 135111380625 138575775000 139770393750 143905612500 149661837000 150123756250 155897746875 162133656750 167724472500 180148507500 186360525000 187077296250 194560388100 207863662500 209655590625 216178209000 225185634375 243200485125 249436395000 270222761250 279540787500 287811225000 300247512500 311795493750 324267313500 335448945000 360297015000 374154592500 389120776200 405334141875 415727325000 419311181250 450371268750 467693240625 486400970250 540445522500 559081575000 600495025000 623590987500 648534627000 675556903125 748309185000 810668283750 838622362500 900742537500 935386481250 972801940500 1080891045000 1216002425625 1247181975000 1351113806250 1621336567500 1677244725000 1801485075000 1870772962500 1945603881000 2026670709375 2432004851250 2702227612500 3242673135000 3741545925000 4053341418750 4864009702500 5404455225000 6080012128125 8106682837500 9728019405000 12160024256250 16213365675000 24320048512500 48640097025000
- Sum of all divisors σ(n): 191056302727290
- Sum of proper divisors (its aliquot sum) s(n): 142416205702290
- 48640097025000 is an abundant number, because the sum of its proper divisors (142416205702290) is greater than itself. Its abundance is 93776108677290
Bases of 48640097025000
- Binary: 10110000111100111001111011010001111011111010002
- Hexadecimal: 0x2C3CE7B47BE8
- Base-36: H8OY9X2I0
Squares and roots of 48640097025000
- 48640097025000 squared (486400970250002) is 2365859038601413850625000000
- 48640097025000 cubed (486400970250003) is 115075613185045989996578856890625000000000
-
The
square root of 48640097025000 is 6974245.2656183521 -
The
cube root of 48640097025000 is 36503.2453547697
Scales and comparisons
How big is 48640097025000?- 48,640,097,025,000 seconds is equal to 1,546,604 years, 32 weeks, 5 days, 22 hours, 30 minutes.
-
To count from 1 to 48,640,097,025,000 would take you about three million, eight hundred sixty-six thousand, five hundred eleven 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 48640097025000 cubic inches would be around 3041.9 feet tall.
Recreational maths with 48640097025000
- 48640097025000 backwards is 00052079004684
- 48640097025000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48640097025000's digits is 45
- More coming soon!
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The information we have on file for 48640097025000 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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