48040805139264000
48,040,805,139,264,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 48040805139264000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1600 divisors.
48040805139264000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred divisors.
Prime factorization of 48040805139264000:
29 × 34 × 53 × 7 × 2039 × 649277
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 2039 × 649277)See below for interesting mathematical facts about the number 48040805139264000 from the Numbermatics database.
Names of 48040805139264000
- Cardinal: 48040805139264000 can be written as Forty-eight quadrillion, forty trillion, eight hundred five billion, one hundred thirty-nine million, two hundred sixty-four thousand.
Scientific notation
- Scientific notation: 4.8040805139264 × 1016
Factors of 48040805139264000
Divisors of 48040805139264000
- Number of divisors d(n): 1600
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 125 126 128 135 140 144 150 160 162 168 175 180 189 192 200 210 216 224 225 240 250 252 256 270 280 288 300 315 320 324 336 350 360 375 378 384 400 405 420 432 448 450 480 500 504 512 525 540 560 567 576 600 630 640 648 672 675 700 720 750 756 768 800 810 840 864 875 896 900 945 960 1000 1008 1050 1080 1120 1125 1134 1152 1200 1260 1280 1296 1344 1350 1400 1440 1500 1512 1536 1575 1600 1620 1680 1728 1750 1792 1800 1890 1920 2000 2016 2025 2039 2100 2160 2240 2250 2268 2304 2400 2520 2560 2592 2625 2688 2700 2800 2835 2880 3000 3024 3150 3200 3240 3360 3375 3456 3500 3584 3600 3780 3840 4000 4032 4050 4078 4200 4320 4480 4500 4536 4608 4725 4800 5040 5184 5250 5376 5400 5600 5670 5760 6000 6048 6117 6300 6400 6480 6720 6750 6912 7000 7200 7560 7680 7875 8000 8064 8100 8156 8400 8640 8960 9000 9072 9450 9600 10080 10125 10195 10368 10500 10752 10800 11200 11340 11520 12000 12096 12234 12600 12800 12960 13440 13500 13824 14000 14175 14273 14400 15120 15750 16000 16128 16200 16312 16800 17280 17920 18000 18144 18351 18900 19200 20160 20250 20390 20736 21000 21600 22400 22680 23040 23625 24000 24192 24468 25200 25920 26880 27000 28000 28350 28546 28800 30240 30585 31500 32000 32256 32400 32624 33600 34560 36000 36288 36702 37800 38400 40320 40500 40780 41472 42000 42819 43200 44800 45360 47250 48000 48384 48936 50400 50975 51840 53760 54000 55053 56000 56700 57092 57600 60480 61170 63000 64000 64800 65248 67200 69120 70875 71365 72000 72576 73404 75600 80640 81000 81560 84000 85638 86400 89600 90720 91755 94500 96000 96768 97872 100800 101950 103680 108000 110106 112000 113400 114184 115200 120960 122340 126000 128457 129600 130496 134400 141750 142730 144000 145152 146808 151200 152925 161280 162000 163120 165159 168000 171276 172800 181440 183510 189000 192000 195744 201600 203900 207360 214095 216000 220212 224000 226800 228368 241920 244680 252000 254875 256914 259200 260992 268800 275265 283500 285460 288000 290304 293616 302400 305850 324000 326240 330318 336000 342552 345600 356825 362880 367020 378000 385371 391488 403200 407800 428190 432000 440424 448000 453600 456736 458775 483840 489360 504000 509750 513828 518400 521984 550530 567000 570920 576000 587232 604800 611700 642285 648000 649277 652480 660636 672000 685104 713650 725760 734040 756000 764625 770742 782976 806400 815600 825795 856380 864000 880848 907200 913472 917550 978720 1008000 1019500 1027656 1036800 1043968 1070475 1101060 1134000 1141840 1156113 1174464 1209600 1223400 1284570 1296000 1298554 1304960 1321272 1344000 1370208 1376325 1427300 1451520 1468080 1512000 1529250 1541484 1565952 1631200 1651590 1712760 1728000 1761696 1784125 1814400 1826944 1835100 1926855 1947831 1957440 2016000 2039000 2055312 2140950 2202120 2268000 2283680 2293875 2312226 2348928 2419200 2446800 2569140 2592000 2597108 2609920 2642544 2740416 2752650 2854600 2936160 3024000 3058500 3082968 3131904 3211425 3246385 3262400 3303180 3425520 3523392 3568250 3628800 3653888 3670200 3853710 3895662 3914880 4032000 4078000 4110624 4128975 4281900 4404240 4536000 4544939 4567360 4587750 4624452 4697856 4893600 5138280 5184000 5194216 5219840 5285088 5352375 5480832 5505300 5709200 5780565 5843493 5872320 6048000 6117000 6165936 6422850 6492770 6524800 6606360 6851040 6881625 7046784 7136500 7257600 7307776 7340400 7707420 7791324 7829760 8156000 8221248 8257950 8563800 8808480 9072000 9089878 9134720 9175500 9248904 9395712 9634275 9739155 9787200 10276560 10388432 10570176 10704750 10961664 11010600 11418400 11561130 11686986 11744640 12096000 12234000 12331872 12845700 12985540 13049600 13212720 13634817 13702080 13763250 14093568 14273000 14680800 15414840 15582648 15659520 16057125 16231925 16312000 16442496 16515900 17127600 17530479 17616960 18144000 18179756 18269440 18351000 18497808 19268550 19478310 19574400 20553120 20644875 20776864 21140352 21409500 21923328 22021200 22724695 22836800 23122260 23373972 23489280 24468000 24663744 25691400 25971080 26099200 26425440 27269634 27404160 27526500 28187136 28546000 28902825 29217465 29361600 30829680 31165296 32114250 32463850 32624000 32884992 33031800 34255200 35060958 35233920 36288000 36359512 36538880 36702000 36995616 38537100 38956620 39148800 40904451 41106240 41289750 41553728 42280704 42819000 44042400 45449390 45673600 46244520 46747944 46978560 48171375 48695775 48936000 49327488 51382800 51942160 52591437 52850880 54539268 54808320 55053000 57092000 57805650 58434930 58723200 61659360 62330592 64228500 64927700 65248000 65769984 66063600 68174085 68510400 70121916 70467840 72719024 73404000 73991232 77074200 77913240 78297600 81159625 81808902 82212480 82579500 83107456 84561408 85638000 87652395 88084800 90898780 91347200 92489040 93495888 96342750 97391550 97872000 98654976 102765600 103884320 105182874 105701760 109078536 109616640 110106000 113623475 114184000 115611300 116869860 117446400 122713353 123318720 124661184 128457000 129855400 130496000 132127200 136348170 137020800 140243832 140935680 144514125 145438048 146087325 146808000 147982464 154148400 155826480 162319250 163617804 164424960 165159000 166214912 171276000 175304790 176169600 181797560 182694400 184978080 186991776 192685500 194783100 195744000 197309952 204522255 205531200 207768640 210365748 211403520 218157072 220212000 227246950 228368000 231222600 233739720 234892800 243478875 245426706 246637440 249322368 256914000 259710800 262957185 264254400 272696340 274041600 280487664 289028250 290876096 292174650 293616000 295964928 308296800 311652960 324638500 327235608 328849920 330318000 332429824 340870425 342552000 350609580 352339200 363595120 368140059 369956160 373983552 385371000 389566200 391488000 409044510 411062400 415537280 420731496 422807040 436314144 438261975 440424000 454493900 456736000 462445200 467479440 486957750 490853412 493274880 498644736 513828000 519421600 525914370 528508800 545392680 548083200 560975328 568117375 578056500 581752192 584349300 587232000 591929856 613566765 616593600 623305920 649277000 654471216 660636000 681740850 685104000 701219160 704678400 727190240 730436625 736280118 739912320 747967104 770742000 779132400 818089020 822124800 831074560 841462992 872628288 876523950 880848000 908987800 913472000 924890400 934958880 973915500 981706824 986549760 997289472 1022611275 1027656000 1038843200 1051828740 1057017600 1090785360 1121950656 1136234750 1156113000 1163504384 1168698600 1174464000 1227133530 1233187200 1246611840 1298554000 1308942432 1314785925 1321272000 1323875803 1363481700 1370208000 1402438320 1454380480 1460873250 1472560236 1479824640 1495934208 1541484000 1558264800 1636178040 1644249600 1662149120 1682925984 1704352125 1745256576 1753047900 1761696000 1817975600 1840700295 1849780800 1869917760 1947831000 1963413648 2045222550 2055312000 2077686400 2103657480 2114035200 2181570720 2191309875 2243901312 2272469500 2312226000 2327008768 2337397200 2454267060 2466374400 2493223680 2597108000 2617884864 2629571850 2642544000 2647751606 2726963400 2740416000 2804876640 2908760960 2921746500 2945120472 2959649280 2991868416 3067833825 3082968000 3116529600 3272356080 3365851968 3408704250 3490513152 3506095800 3523392000 3635951200 3681400590 3699561600 3739835520 3895662000 3926827296 3971627409 4090445100 4110624000 4155372800 4207314960 4363141440 4382619750 4487802624 4544939000 4624452000 4674794400 4908534120 4932748800 4986447360 5113056375 5194216000 5235769728 5259143700 5285088000 5295503212 5453926800 5609753280 5817521920 5843493000 5890240944 6135667650 6165936000 6233059200 6544712160 6573929625 6619379015 6731703936 6817408500 6981026304 7012191600 7271902400 7362801180 7399123200 7479671040 7791324000 7853654592 7943254818 8180890200 8221248000 8310745600 8414629920 8726282880 8765239500 8975605248 9089878000 9203501475 9248904000 9267130621 9349588800 9817068240 10226112750 10388432000 10471539456 10518287400 10570176000 10591006424 10907853600 11219506560 11635043840 11686986000 11780481888 11914882227 12271335300 12331872000 12466118400 13089424320 13147859250 13238758030 13463407872 13634817000 14024383200 14543804800 14725602360 14798246400 14959342080 15339169125 15582648000 15707309184 15886509636 16361780400 16829259840 17452565760 17530479000 18179756000 18407002950 18497808000 18534261242 18699177600 19634136480 19858137045 20452225500 20776864000 20943078912 21036574800 21182012848 21815707200 22439013120 23373972000 23560963776 23829764454 24542670600 24663744000 24932236800 26178848640 26295718500 26477516060 26926815744 27269634000 27801391863 28048766400 29087609600 29451204720 30678338250 31165296000 31414618368 31773019272 32723560800 33096895075 33658519680 34905131520 35060958000 35744646681 36359512000 36814005900 36995616000 37068522484 37398355200 39268272960 39716274090 40904451000 41553728000 42073149600 42364025696 43631414400 44878026240 46017507375 46335653105 46747944000 47121927552 47659528908 49085341200 52357697280 52591437000 52955032120 54539268000 55602783726 56097532800 58175219200 58902409440 59574411135 61356676500 62330592000 62829236736 63546038544 65447121600 66193790150 67317039360 70121916000 71489293362 72719024000 73628011800 73991232000 74137044968 74796710400 78536545920 79432548180 81808902000 83404175589 84146299200 84728051392 87262828800 92035014750 92671306210 93495888000 94243855104 95319057816 98170682400 99290685225 104715394560 105182874000 105910064240 107233940043 109078536000 111205567452 112195065600 117804818880 119148822270 122713353000 124661184000 127092077088 130894243200 132387580300 134634078720 139006959315 140243832000 142978586724 145438048000 147256023600 148274089936 157073091840 158865096360 163617804000 165484475375 166808351178 168292598400 169456102784 174525657600 178723233405 184070029500 185342612420 186991776000 188487710208 190638115632 196341364800 198581370450 210365748000 211820128480 214467880086 218157072000 222411134904 224390131200 231678265525 235609637760 238297644540 245426706000 250212526767 254184154176 261788486400 264775160600 278013918630 280487664000 285957173448 290876096000 294512047200 296548179872 297872055675 314146183680 317730192720 327235608000 330968950750 333616702356 336585196800 338912205568 357446466810 368140059000 370685224840 373983552000 381276231264 392682729600 397162740900 417020877945 420731496000 423640256960 428935760172 436314144000 444822269808 463356531050 471219275520 476595289080 490853412000 496453426125 500425053534 508368308352 523576972800 529550321200 536169700215 556027837260 560975328000 571914346896 589024094400 593096359744 595744111350 635460385440 654471216000 661937901500 667233404712 673170393600 677824411136 695034796575 714892933620 736280118000 741370449680 750637580301 762552462528 785365459200 794325481800 834041755890 841462992000 847280513920 857871520344 872628288000 889644539616 893616167025 926713062100 942438551040 953190578160 981706824000 992906852250 1000850107068 1016736616704 1059100642400 1072339400430 1112055674520 1121950656000 1143828693792 1158391327625 1178048188800 1186192719488 1191488222700 1251062633835 1270920770880 1308942432000 1323875803000 1334466809424 1390069593150 1429785867240 1472560236000 1482740899360 1489360278375 1501275160602 1525104925056 1570730918400 1588650963600 1668083511780 1682925984000 1694561027840 1715743040688 1779289079232 1787232334050 1853426124200 1906381156320 1963413648000 1985813704500 2001700214136 2033473233408 2085104389725 2118201284800 2144678800860 2224111349040 2287657387584 2316782655250 2356096377600 2372385438976 2382976445400 2502125267670 2541841541760 2617884864000 2647751606000 2668933618848 2680848501075 2780139186300 2859571734480 2945120472000 2965481798720 2978720556750 3002550321204 3050209850112 3177301927200 3336167023560 3365851968000 3389122055680 3431486081376 3475173982875 3558578158464 3574464668100 3706852248400 3753187901505 3812762312640 3926827296000 3971627409000 4003400428272 4170208779450 4236402569600 4289357601720 4448222698080 4468080835125 4575314775168 4633565310500 4712192755200 4744770877952 4765952890800 5004250535340 5083683083520 5295503212000 5337867237696 5361697002150 5560278372600 5719143468960 5890240944000 5930963597440 5957441113500 6005100642408 6100419700224 6255313169175 6354603854400 6672334047120 6862972162752 6950347965750 7117156316928 7148929336200 7413704496800 7506375803010 7625524625280 7853654592000 7943254818000 8006800856544 8340417558900 8472805139200 8578715203440 8896445396160 8936161670250 9150629550336 9267130621000 9531905781600 10008501070680 10167366167040 10425521948625 10591006424000 10675734475392 10723394004300 11120556745200 11438286937920 11780481888000 11861927194880 11914882227000 12010201284816 12510626338350 12709207708800 13344668094240 13404242505375 13725944325504 13900695931500 14234312633856 14297858672400 14827408993600 15012751606020 15251049250560 15886509636000 16013601713088 16680835117800 16945610278400 17157430406880 17792890792320 17872323340500 18301259100672 18534261242000 18765939507525 19063811563200 20017002141360 20851043897250 21182012848000 21351468950784 21446788008600 22241113490400 22876573875840 23560963776000 23723854389760 23829764454000 24020402569632 25021252676700 25418415417600 26689336188480 26808485010750 27451888651008 27801391863000 28595717344800 29654817987200 30025503212040 30502098501120 31276565845875 31773019272000 32027203426176 33361670235600 34314860813760 35585781584640 35744646681000 37068522484000 37531879015050 38127623126400 40034004282720 41702087794500 42364025696000 42702937901568 42893576017200 44482226980800 45753147751680 47659528908000 48040805139264 50042505353400 50836830835200 53378672376960 53616970021500 54903777302016 55602783726000 57191434689600 59309635974400 60051006424080 62553131691750 63546038544000 64054406852352 66723340471200 68629721627520 71171563169280 71489293362000 74137044968000 75063758030100 76255246252800 80068008565440 83404175589000 84728051392000 85787152034400 88964453961600 91506295503360 93829697537625 95319057816000 96081610278528 100085010706800 106757344753920 107233940043000 111205567452000 114382869379200 118619271948800 120102012848160 125106263383500 127092077088000 128108813704704 133446680942400 137259443255040 142978586724000 148274089936000 150127516060200 152510492505600 160136017130880 166808351178000 171574304068800 177928907923200 187659395075250 190638115632000 192163220557056 200170021413600 213514689507840 214467880086000 222411134904000 228765738758400 240204025696320 250212526767000 254184154176000 266893361884800 274518886510080 285957173448000 296548179872000 300255032120400 320272034261760 333616702356000 343148608137600 355857815846400 375318790150500 381276231264000 384326441114112 400340042827200 428935760172000 444822269808000 457531477516800 480408051392640 500425053534000 533786723769600 571914346896000 593096359744000 600510064240800 640544068523520 667233404712000 686297216275200 750637580301000 762552462528000 800680085654400 857871520344000 889644539616000 960816102785280 1000850107068000 1067573447539200 1143828693792000 1201020128481600 1334466809424000 1372594432550400 1501275160602000 1601360171308800 1715743040688000 1779289079232000 1921632205570560 2001700214136000 2287657387584000 2402040256963200 2668933618848000 3002550321204000 3202720342617600 3431486081376000 4003400428272000 4804080513926400 5337867237696000 6005100642408000 6862972162752000 8006800856544000 9608161027852800 12010201284816000 16013601713088000 24020402569632000 48040805139264000
- Sum of all divisors σ(n): 204614517737710080
- Sum of proper divisors (its aliquot sum) s(n): 156573712598446080
- 48040805139264000 is an abundant number, because the sum of its proper divisors (156573712598446080) is greater than itself. Its abundance is 108532907459182080
Bases of 48040805139264000
- Binary: 101010101010110011011011100101010000110010110010000000002
- Hexadecimal: 0xAAACDB950CB200
- Base-36: D511L7F3400
Squares and roots of 48040805139264000
- 48040805139264000 squared (480408051392640002) is 2307918958428734354434461696000000
- 48040805139264000 cubed (480408051392640003) is 110874284959087959344806120753466153631744000000000
-
The
square root of 48040805139264000 is 219182127.7824996387 -
The
cube root of 48040805139264000 is 363527.0725352631
Scales and comparisons
How big is 48040805139264000?- 48,040,805,139,264,000 seconds is equal to 1,527,549,003 years, 24 weeks.
-
To count from 1 to 48,040,805,139,264,000 would take you about four billion, five hundred eighty-two million, six hundred forty-seven thousand and ten 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 48040805139264000 cubic inches would be around 30293.9 feet tall.
Recreational maths with 48040805139264000
- 48040805139264000 backwards is 00046293150804084
- 48040805139264000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48040805139264000'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 48040805139264000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 48040805139264000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/48040805139264000/
Chicago style:
Numbermatics. 2024. "Number 48040805139264000 - Facts about the integer". https://numbermatics.com/n/48040805139264000/
The information we have on file for 48040805139264000 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 48040805139264000, math, Factors of 48040805139264000, curriculum, school, college, exams, university, Prime factorization of 48040805139264000, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quadrillion, forty trillion, eight hundred five billion, one hundred thirty-nine million, two hundred sixty-four thousand.