48671945064000
48,671,945,064,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48671945064000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1792 divisors.
48671945064000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 48671945064000:
26 × 33 × 53 × 17 × 31 × 137 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 31 × 137 × 3121)See below for interesting mathematical facts about the number 48671945064000 from the Numbermatics database.
Names of 48671945064000
- Cardinal: 48671945064000 can be written as Forty-eight trillion, six hundred seventy-one billion, nine hundred forty-five million, sixty-four thousand.
Scientific notation
- Scientific notation: 4.8671945064 × 1013
Factors of 48671945064000
Divisors of 48671945064000
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 31 32 34 36 40 45 48 50 51 54 60 62 64 68 72 75 80 85 90 93 96 100 102 108 120 124 125 135 136 137 144 150 153 155 160 170 180 186 192 200 204 216 225 240 248 250 255 270 272 274 279 288 300 306 310 320 340 360 372 375 400 408 411 425 432 450 459 465 480 496 500 510 527 540 544 548 558 576 600 612 620 675 680 685 720 744 750 765 775 800 816 822 837 850 864 900 918 930 960 992 1000 1020 1054 1080 1088 1096 1116 1125 1200 1224 1233 1240 1275 1350 1360 1370 1395 1440 1488 1500 1530 1550 1581 1600 1632 1644 1674 1700 1728 1800 1836 1860 1984 2000 2040 2055 2108 2125 2160 2192 2232 2250 2295 2325 2329 2400 2448 2466 2480 2550 2635 2700 2720 2740 2790 2880 2976 3000 3060 3100 3121 3162 3264 3288 3348 3375 3400 3425 3600 3672 3699 3720 3825 3875 4000 4080 4110 4185 4216 4247 4250 4320 4384 4464 4500 4590 4650 4658 4743 4800 4896 4932 4960 5100 5270 5400 5440 5480 5580 5952 6000 6120 6165 6200 6242 6324 6375 6576 6696 6750 6800 6850 6975 6987 7200 7344 7398 7440 7650 7750 7905 8000 8160 8220 8370 8432 8494 8500 8640 8768 8928 9000 9180 9300 9316 9363 9486 9792 9864 9920 10200 10275 10540 10800 10960 11160 11475 11625 11645 12000 12240 12330 12400 12484 12648 12741 12750 13152 13175 13392 13500 13600 13700 13950 13974 14229 14400 14688 14796 14880 15300 15500 15605 15810 16320 16440 16740 16864 16988 17000 17125 17856 18000 18360 18495 18600 18632 18726 18972 19125 19728 20400 20550 20925 20961 21080 21235 21600 21920 22320 22950 23250 23290 23715 24000 24480 24660 24800 24968 25296 25482 25500 26304 26350 26784 27000 27200 27400 27900 27948 28089 28458 29376 29592 29760 30600 30825 31000 31210 31620 32880 33480 33728 33976 34000 34250 34875 34935 36000 36720 36990 37200 37264 37452 37944 38223 38250 39456 39525 40800 41100 41850 41922 42160 42470 43200 43840 44640 45900 46500 46580 46815 47430 48960 49320 49600 49936 50592 50964 51000 51375 52700 53057 53568 54000 54800 55800 55896 56178 56916 57375 58225 59184 61200 61650 62000 62420 62883 63240 63705 65760 65875 66960 67952 68000 68500 69750 69870 71145 72000 72199 73440 73980 74400 74528 74904 75888 76446 76500 78025 78912 79050 81600 82200 83700 83844 84267 84320 84940 89280 91800 92475 93000 93160 93630 94860 96751 98640 99872 101184 101928 102000 102750 104625 104805 105400 106114 106175 108000 109600 111600 111792 112356 113832 114669 114750 116450 118368 118575 122400 123300 124000 124840 125766 126480 127410 131520 131750 133920 135904 136000 137000 139500 139740 140445 142290 144398 146880 147960 148800 149056 149808 151776 152892 153000 154125 156050 158100 159171 164400 167400 167688 168534 168640 169880 174675 183600 184950 186000 186320 187260 189720 191115 193502 197280 197625 199744 203856 204000 205500 209250 209610 210800 212228 212350 216000 216597 219200 223200 223584 224712 227664 229338 229500 232900 234075 236736 237150 244800 246600 248000 249680 251532 252960 254820 263500 265285 267840 271808 274000 279000 279480 280890 284580 288796 290253 291125 295920 299616 303552 305784 306000 308250 312100 314415 316200 318342 318525 328800 334800 335376 337068 339760 349350 355725 360995 367200 369900 372000 372640 374520 379440 382230 387004 390125 394560 395250 407712 408000 411000 418500 419220 421335 421600 424456 424700 427577 433194 446400 447168 449424 455328 458676 459000 462375 465800 468150 474300 477513 483755 493200 499360 503064 505920 509640 524025 527000 530570 530875 548000 558000 558960 561780 569160 573345 577592 580506 582250 591840 592875 599232 611568 612000 616500 624200 628830 632400 636684 637050 649791 657600 669600 670752 674136 679520 698700 702225 711450 721990 734400 739800 744000 745280 749040 758880 764460 774008 780250 790500 795855 815424 822000 837000 838440 842670 843200 848912 849400 855154 866388 870759 873375 898848 910656 917352 918000 924750 931600 936300 948600 955026 955575 967510 986400 998720 1006128 1019280 1048050 1054000 1061140 1061750 1082985 1096000 1116000 1117920 1123560 1138320 1146690 1155184 1161012 1164500 1170375 1183680 1185750 1223136 1224000 1233000 1248400 1257660 1264800 1273368 1274100 1282731 1299582 1326425 1339200 1341504 1348272 1359040 1397400 1404450 1422900 1432539 1443980 1451265 1479600 1498080 1517760 1528920 1548016 1560500 1572075 1581000 1591710 1592625 1644000 1644767 1674000 1676880 1685340 1697824 1698800 1710308 1732776 1741518 1746750 1778625 1797696 1804975 1834704 1836000 1849500 1863200 1872600 1897200 1910052 1911150 1935020 1949373 1972800 2012256 2038560 2096100 2106675 2108000 2122280 2123500 2137885 2165970 2232000 2235840 2247120 2276640 2293380 2310368 2322024 2329000 2340750 2371500 2387565 2418775 2446272 2466000 2496800 2515320 2529600 2546736 2548200 2565462 2599164 2612277 2620125 2652850 2696544 2794800 2808900 2845800 2865078 2866725 2887960 2902530 2959200 2996160 3057840 3096032 3121000 3144150 3162000 3183420 3185250 3248955 3288000 3289534 3348000 3353760 3370680 3395648 3397600 3420616 3465552 3483036 3493500 3511125 3557250 3609950 3669408 3672000 3699000 3726400 3745200 3794400 3820104 3822300 3848193 3870040 3898746 3979275 4024512 4077120 4192200 4213350 4216000 4244560 4247000 4275770 4331940 4353795 4494240 4553280 4586760 4620736 4644048 4658000 4681500 4743000 4775130 4777875 4837550 4932000 4934301 4993600 5030640 5093472 5096400 5130924 5198328 5224554 5240250 5305700 5393088 5414925 5589600 5617800 5691600 5730156 5733450 5775920 5805060 5918400 6115680 6192064 6242000 6288300 6324000 6366840 6370500 6413655 6497910 6579068 6632125 6696000 6707520 6741360 6795200 6841232 6931104 6966072 6987000 7022250 7114500 7162695 7219900 7256325 7268809 7338816 7398000 7490400 7588800 7640208 7644600 7696386 7740080 7797492 7860375 7958550 8223835 8384400 8426700 8489120 8494000 8551540 8663880 8707590 8988480 9024875 9173520 9288096 9316000 9363000 9486000 9550260 9555750 9675100 9746865 9864000 9868602 10061280 10186944 10192800 10261848 10396656 10449108 10480500 10533375 10611400 10689425 10829850 11179200 11235600 11383200 11460312 11466900 11544579 11551840 11610120 11937825 12093875 12231360 12484000 12576600 12648000 12733680 12741000 12827310 12995820 13061385 13158136 13254887 13264250 13482720 13682464 13862208 13932144 13974000 14044500 14229000 14325390 14333625 14439800 14512650 14537618 14796000 14802903 14980800 15280416 15289200 15392772 15480160 15594984 15720750 15917100 16244775 16447670 16768800 16853400 16978240 16988000 17103080 17327760 17415180 18049750 18347040 18576192 18632000 18726000 18972000 19100520 19111500 19240965 19350200 19493730 19737204 19896375 20122560 20385600 20523696 20793312 20898216 20961000 21066750 21222800 21378850 21659700 21768975 21806427 22471200 22766400 22920624 22933800 23089158 23103680 23220240 23875650 24187750 24671505 24968000 25153200 25467360 25482000 25654620 25991640 26122770 26316272 26509774 26528500 26965440 27074625 27364928 27864288 27948000 28089000 28458000 28650780 28667250 28879600 29025300 29075236 29592000 29605806 30560832 30578400 30785544 30960320 31189968 31441500 31834200 32068275 32489550 32895340 33537600 33706800 33976000 34206160 34655520 34830360 35813475 36099500 36281625 36344045 36694080 37452000 37944000 38201040 38223000 38481930 38700400 38987460 39474408 39764661 39792750 41047392 41119175 41586624 41796432 41922000 42133500 42445600 42757700 43319400 43537950 43612854 44408709 44942400 45841248 45867600 46178316 46440480 47751300 48375500 48734325 49343010 50306400 50934720 50964000 51309240 51983280 52245540 52632544 53019548 53057000 53447125 54149250 55728576 55896000 56178000 56916000 57301560 57334500 57722895 57759200 58050600 58150472 59211612 59689125 61156800 61571088 62379936 62883000 63668400 64136550 64979100 65306925 65419281 65790680 66274435 67413600 68412320 69311040 69660720 71626950 72199000 72563250 72688090 74014515 74904000 76402080 76446000 76963860 77400800 77974920 78948816 79529322 79585500 81223875 82094784 82238350 83592864 83844000 84267000 84891200 85515400 86638800 87075900 87225708 88817418 91682496 91735200 92356632 92880960 95502600 96204825 96751000 97468650 98686020 100612800 101928000 102618480 103966560 104491080 105265088 106039096 106114000 106894250 108298500 108844875 109032135 112356000 113832000 114603120 114669000 115445790 115518400 116101200 116300944 118423224 119293983 119378250 123142176 123357525 124759872 125766000 127336800 128273100 129958200 130613850 130838562 131581360 132548870 134827200 136824640 139321440 143253900 144398000 145126500 145376180 148029030 152804160 152892000 153927720 154801600 155949840 157897632 159058644 159171000 160341375 162447750 164476700 167185728 167688000 168534000 171030800 173277600 174151800 174451416 177634836 179067375 181720225 183470400 184713264 191005200 192409650 193502000 194937300 196257843 197372040 198823305 205236960 205595875 207933120 208982160 212078192 212228000 213788500 216597000 217689750 218064270 222043545 224712000 225333079 229206240 229338000 230891580 232202400 232601888 236846448 238587966 238756500 243671625 246284352 246715050 251532000 254673600 256546200 259916400 261227700 261677124 263162720 265097740 278642880 286507800 288614475 288796000 290253000 290752360 296058060 305784000 307855440 311899680 315795264 318117288 318342000 320682750 324895500 326534625 327096405 328953400 331372175 337068000 342061600 346555200 348303600 348902832 355269672 357881949 358134750 363440450 369426528 370072575 382010400 384819300 387004000 389874600 392515686 394744080 397646610 410473920 411191750 417964320 424156384 424456000 427577000 433194000 435379500 436128540 444087090 450666158 458412480 458676000 461783160 464404800 465203776 473692896 477175932 477513000 481024125 487343250 493430100 503064000 513092400 519832800 522455400 523354248 526325440 530195480 545160675 573015600 577228950 577592000 580506000 581504720 592116120 596469915 615710880 616787625 623799360 636234576 636684000 641365500 649791000 653069250 654192810 657906800 662744350 674136000 675999237 684123200 696607200 697805664 710539344 715763898 716269500 726880900 738853056 740145150 764020800 769638600 774008000 779749200 785031372 789488160 795293220 822383500 835928640 848312768 855154000 866388000 870759000 872257080 888174180 901332316 908601125 917352000 923566320 947385792 954351864 955026000 962048250 974686500 981289215 986860200 994116525 1026184800 1039665600 1044910800 1046708496 1060390960 1090321350 1110217725 1126665395 1146031200 1154457900 1161012000 1163009440 1184232240 1192939830 1231421760 1233575250 1272469152 1273368000 1282731000 1299582000 1306138500 1308385620 1315813600 1325488700 1351998474 1393214400 1395611328 1421078688 1431527796 1432539000 1443072375 1453761800 1480290300 1539277200 1559498400 1570062744 1578976320 1590586440 1635482025 1644767000 1656860875 1710308000 1732776000 1741518000 1744514160 1776348360 1789409745 1802664632 1817202250 1847132640 1850362875 1908703728 1910052000 1924096500 1949373000 1962578430 1973720400 1988233050 2027997711 2052369600 2089821600 2093416992 2120781920 2180642700 2220435450 2253330790 2292062400 2308915800 2322024000 2326018880 2368464480 2385879660 2467150500 2544938304 2565462000 2599164000 2612277000 2616771240 2631627200 2650977400 2703996948 2725803375 2842157376 2863055592 2865078000 2886144750 2907523600 2960580600 2982349575 3078554400 3118996800 3140125488 3181172880 3270964050 3289534000 3313721750 3379996185 3420616000 3483036000 3489028320 3552696720 3578819490 3605329264 3634404500 3694265280 3700725750 3817407456 3820104000 3848193000 3898746000 3925156860 3947440800 3976466100 4055995422 4179643200 4186833984 4241563840 4361285400 4440870900 4506661580 4617831600 4736928960 4771759320 4906446075 4934301000 4970582625 5130924000 5198328000 5224554000 5233542480 5301954800 5407993896 5451606750 5551088625 5633326975 5726111184 5730156000 5772289500 5815047200 5921161200 5964699150 6083993133 6157108800 6280250976 6362345760 6541928100 6579068000 6627443500 6759992370 6966072000 6978056640 7105393440 7157638980 7210658528 7268809000 7401451500 7634814912 7696386000 7797492000 7850313720 7894881600 7952932200 8111990844 8177410125 8722570800 8881741800 8947048725 9013323160 9235663200 9543518640 9812892150 9868602000 9941165250 10139988555 10261848000 10449108000 10467084960 10603909600 10815987792 10903213500 11102177250 11266653950 11452222368 11460312000 11544579000 11630094400 11842322400 11929398300 12167986266 12560501952 12724691520 13083856200 13158136000 13254887000 13519984740 14210786880 14315277960 14421317056 14537618000 14802903000 14911747875 15392772000 15594984000 15700627440 15905864400 16223981688 16354820250 16899980925 17445141600 17763483600 17894097450 18026646320 18471326400 19087037280 19625784300 19737204000 19882330500 20279977110 20898216000 20934169920 21207819200 21631975584 21806427000 22204354500 22533307900 22904444736 23089158000 23684644800 23858796600 24335972532 24532230375 26167712400 26509774000 27039969480 28166634875 28630555920 29075236000 29605806000 29823495750 30419965665 30785544000 31401254880 31811728800 32447963376 32709640500 33799961850 34890283200 35526967200 35788194900 36053292640 38174074560 39251568600 39474408000 39764661000 40559954220 43263951168 43612854000 44408709000 44735243625 45066615800 46178316000 47717593200 48671945064 49064460750 50699942775 52335424800 53019548000 54079938960 56333269750 57261111840 58150472000 59211612000 59646991500 60839931330 62802509760 63623457600 64895926752 65419281000 67599923700 71053934400 71576389800 72106585280 78503137200 79529322000 81119908440 84499904625 87225708000 88817418000 89470487250 90133231600 92356632000 95435186400 97343890128 98128921500 101399885550 104670849600 106039096000 108159877920 112666539500 114522223680 118423224000 119293983000 121679862660 129791853504 130838562000 135199847400 143152779600 152099828325 157006274400 159058644000 162239816880 168999809250 174451416000 177634836000 178940974500 180266463200 190870372800 194687780256 196257843000 202799771100 216319755840 225333079000 238587966000 243359725320 253499713875 261677124000 270399694800 286305559200 304199656650 314012548800 318117288000 324479633760 337999618500 355269672000 357881949000 360532926400 389375560512 392515686000 405599542200 450666158000 477175932000 486719450640 506999427750 523354248000 540799389600 572611118400 608399313300 648959267520 675999237000 715763898000 760499141625 785031372000 811199084400 901332316000 954351864000 973438901280 1013998855500 1081598779200 1216798626600 1351998474000 1431527796000 1520998283250 1570062744000 1622398168800 1802664632000 1946877802560 2027997711000 2433597253200 2703996948000 2863055592000 3041996566500 3244796337600 4055995422000 4867194506400 5407993896000 6083993133000 8111990844000 9734389012800 12167986266000 16223981688000 24335972532000 48671945064000
- Sum of all divisors σ(n): 196663054049280
- Sum of proper divisors (its aliquot sum) s(n): 147991108985280
- 48671945064000 is an abundant number, because the sum of its proper divisors (147991108985280) is greater than itself. Its abundance is 99319163921280
Bases of 48671945064000
- Binary: 10110001000100010100011111111011111110010000002
- Hexadecimal: 0x2C4451FEFE40
- Base-36: H93KZF2O0
Squares and roots of 48671945064000
- 48671945064000 squared (486719450640002) is 2368958236313033964096000000
- 48671945064000 cubed (486719450640003) is 115301805136738319007646660422144000000000
-
The
square root of 48671945064000 is 6976528.1525985401 -
The
cube root of 48671945064000 is 36511.2106838539
Scales and comparisons
How big is 48671945064000?- 48,671,945,064,000 seconds is equal to 1,547,617 years, 15 weeks, 4 days, 12 hours.
-
To count from 1 to 48,671,945,064,000 would take you about three million, eight hundred sixty-nine thousand and forty-three 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 48671945064000 cubic inches would be around 3042.6 feet tall.
Recreational maths with 48671945064000
- 48671945064000 backwards is 00046054917684
- 48671945064000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48671945064000's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 48671945064000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 48671945064000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/48671945064000/
Chicago style:
Numbermatics. 2024. "Number 48671945064000 - Facts about the integer". https://numbermatics.com/n/48671945064000/
The information we have on file for 48671945064000 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!
Keywords: Divisors of 48671945064000, math, Factors of 48671945064000, curriculum, school, college, exams, university, Prime factorization of 48671945064000, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, six hundred seventy-one billion, nine hundred forty-five million, sixty-four thousand.