4048213248000
4,048,213,248,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 4048213248000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1536 divisors.
4048213248000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 4048213248000:
211 × 33 × 53 × 71 × 73 × 113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 71 × 73 × 113)See below for interesting mathematical facts about the number 4048213248000 from the Numbermatics database.
Names of 4048213248000
- Cardinal: 4048213248000 can be written as Four trillion, forty-eight billion, two hundred thirteen million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 4.048213248 × 1012
Factors of 4048213248000
Divisors of 4048213248000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 71 72 73 75 80 90 96 100 108 113 120 125 128 135 142 144 146 150 160 180 192 200 213 216 219 225 226 240 250 256 270 284 288 292 300 320 339 355 360 365 375 384 400 426 432 438 450 452 480 500 512 540 565 568 576 584 600 639 640 657 675 678 710 720 730 750 768 800 852 864 876 900 904 960 1000 1017 1024 1065 1080 1095 1125 1130 1136 1152 1168 1200 1278 1280 1314 1350 1356 1420 1440 1460 1500 1536 1600 1695 1704 1728 1752 1775 1800 1808 1825 1917 1920 1971 2000 2034 2048 2130 2160 2190 2250 2260 2272 2304 2336 2400 2556 2560 2628 2700 2712 2825 2840 2880 2920 3000 3051 3072 3195 3200 3285 3375 3390 3408 3456 3504 3550 3600 3616 3650 3834 3840 3942 4000 4068 4260 4320 4380 4500 4520 4544 4608 4672 4800 5085 5112 5120 5183 5256 5325 5400 5424 5475 5650 5680 5760 5840 6000 6102 6144 6390 6400 6570 6750 6780 6816 6912 7008 7100 7200 7232 7300 7668 7680 7884 8000 8023 8136 8249 8475 8520 8640 8760 8875 9000 9040 9088 9125 9216 9344 9585 9600 9855 10170 10224 10240 10366 10512 10650 10800 10848 10950 11300 11360 11520 11680 12000 12204 12780 12800 13140 13500 13560 13632 13824 14016 14125 14200 14400 14464 14600 15255 15336 15360 15549 15768 15975 16000 16046 16272 16425 16498 16950 17040 17280 17520 17750 18000 18080 18176 18250 18432 18688 19170 19200 19710 20340 20448 20732 21024 21300 21600 21696 21900 22600 22720 23040 23360 24000 24069 24408 24747 25425 25560 25600 25915 26280 26625 27000 27120 27264 27375 27648 28032 28250 28400 28800 28928 29200 30510 30672 30720 31098 31536 31950 32000 32092 32544 32850 32996 33900 34080 34560 35040 35500 36000 36160 36352 36500 37376 38340 38400 39420 40115 40680 40896 41245 41464 42048 42375 42600 43200 43392 43800 45200 45440 46080 46647 46720 47925 48000 48138 48816 49275 49494 50850 51120 51200 51830 52560 53250 54000 54240 54528 54750 55296 56064 56500 56800 57600 57856 58400 61020 61344 62196 63072 63900 64000 64184 65088 65700 65992 67800 68160 69120 70080 71000 72000 72207 72320 72704 73000 74241 74752 76275 76680 76800 77745 78840 79875 80230 81360 81792 82125 82490 82928 84096 84750 85200 86400 86784 87600 90400 90880 92160 93294 93440 95850 96000 96276 97632 98550 98988 101700 102240 103660 105120 106500 108000 108480 109056 109500 112128 113000 113600 115200 115712 116800 120345 122040 122688 123735 124392 126144 127125 127800 128000 128368 129575 130176 131400 131984 135600 136320 138240 139941 140160 142000 144000 144414 144640 145408 146000 148482 149504 152550 153360 153600 155490 157680 159750 160460 162720 163584 164250 164980 165856 168192 169500 170400 172800 173568 175200 180800 181760 186588 186880 191700 192000 192552 195264 197100 197976 200575 203400 204480 206225 207320 210240 213000 216000 216621 216960 218112 219000 222723 224256 226000 227200 230400 231424 233235 233600 239625 240690 244080 245376 246375 247470 248784 252288 254250 255600 256000 256736 259150 260352 262800 263968 271200 272640 276480 279882 280320 284000 288000 288828 289280 292000 296964 305100 306720 310980 315360 319500 320920 325440 327168 328500 329960 331712 336384 339000 340800 345600 347136 350400 361035 361600 363520 371205 373176 373760 381375 383400 384000 385104 388725 390528 394200 395952 401150 406800 408960 412450 414640 420480 426000 432000 433242 433920 436224 438000 445446 448512 452000 454400 460800 466470 467200 479250 481380 488160 490752 492750 494940 497568 504576 508500 511200 513472 518300 520704 525600 527936 542400 545280 559764 560640 568000 576000 577656 578560 584000 585679 593928 601725 610200 613440 618675 621960 630720 639000 641840 647875 650880 654336 657000 659920 663424 672768 678000 681600 691200 694272 699705 700800 722070 723200 727040 742410 746352 747520 762750 766800 768000 770208 777450 781056 788400 791904 802300 813600 817920 824900 829280 840960 852000 864000 866484 867840 876000 890892 904000 908800 932940 934400 958500 962760 976320 981504 985500 989880 995136 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24408000 24537600 24646656 24747000 24878400 25228800 25340928 25673600 26035200 26355555 26396800 26536960 27077625 27264000 27727488 27840375 27988200 28032000 28112592 28508544 28882800 28928000 29283950 29696400 29854080 30672000 30808320 31098000 31242240 31536000 31626666 31676160 31844352 32092000 32544000 32716800 32996000 33171200 33638400 34659360 34985250 35140740 35635680 35824896 36103500 36969984 37120500 37317600 37483456 38011392 38510400 39052800 39595200 39805440 40896000 41077760 41464000 42048000 42168888 42234880 43324200 43392000 43925925 44544600 44781120 46212480 46647000 46854320 47514240 47766528 48138000 48816000 49075200 49293312 49494000 49756800 50457600 50681856 51347200 52070400 52711110 52793600 53073920 54155250 54528000 55454976 55680750 55976400 56064000 56225184 57017088 57765600 58567900 59392800 59708160 61344000 61616640 62196000 63072000 63253332 63352320 64184000 65088000 65992000 66342400 69318720 69970500 70281480 71271360 71649792 72207000 73209875 73939968 74241000 74635200 74966912 76022784 77020800 78105600 79066665 79190400 79610880 81792000 82155520 82928000 84096000 84337776 84469760 86648400 86784000 87851850 89089200 89562240 92424960 93294000 93708640 95028480 95533056 96276000 97632000 98150400 98988000 99513600 100915200 102694400 105422220 105587200 108310500 110909952 111361500 111952800 112450368 114034176 115531200 117135800 118785600 119416320 122688000 123233280 124392000 126144000 126506664 126704640 128368000 130176000 131777775 131984000 132684800 138637440 139941000 140562960 142542720 143299584 144414000 146419750 147879936 148482000 149270400 149933824 152045568 154041600 156211200 158133330 158380800 159221760 163584000 165856000 168192000 168675552 173296800 175703700 178178400 179124480 184849920 186588000 187417280 190056960 192552000 195264000 197976000 199027200 205388800 210844440 211174400 216621000 219629625 221819904 222723000 223905600 224900736 228068352 231062400 234271600 237571200 238832640 245376000 246466560 248784000 252288000 253013328 253409280 256736000 260352000 263555550 263968000 265369600 277274880 279882000 281125920 285085440 286599168 288828000 292839500 296964000 298540800 299867648 308083200 316266660 316761600 331712000 337351104 346593600 351407400 356356800 358248960 369699840 373176000 374834560 380113920 385104000 390528000 395333325 395952000 398054400 410777600 421688880 422348800 433242000 439259250 443639808 445446000 447811200 449801472 456136704 462124800 468543200 475142400 477665280 490752000 497568000 504576000 506026656 513472000 527111100 527936000 554549760 559764000 562251840 570170880 577656000 585679000 593928000 597081600 599735296 616166400 632533320 633523200 658888875 663424000 674702208 693187200 702814800 712713600 716497920 739399680 746352000 749669120 760227840 770208000 781056000 790666650 791904000 796108800 843377760 866484000 878518500 890892000 895622400 899602944 924249600 937086400 950284800 995136000 1012053312 1026944000 1054222200 1055872000 1109099520 1119528000 1124503680 1140341760 1155312000 1171358000 1187856000 1194163200 1199470592 1232332800 1265066640 1267046400 1317777750 1326848000 1349404416 1386374400 1405629600 1425427200 1432995840 1492704000 1499338240 1540416000 1581333300 1583808000 1686755520 1732968000 1757037000 1781784000 1791244800 1799205888 1848499200 1874172800 1900569600 1976666625 1990272000 2024106624 2053888000 2108444400 2111744000 2218199040 2239056000 2249007360 2280683520 2310624000 2342716000 2375712000 2388326400 2530133280 2635555500 2698808832 2772748800 2811259200 2850854400 2985408000 2998676480 3080832000 3162666600 3167616000 3373511040 3465936000 3514074000 3563568000 3582489600 3598411776 3696998400 3748345600 3801139200 3953333250 3980544000 4048213248 4216888800 4478112000 4498014720 4621248000 4685432000 4751424000 5060266560 5271111000 5397617664 5545497600 5622518400 5701708800 5970816000 5997352960 6161664000 6325333200 6335232000 6747022080 6931872000 7028148000 7127136000 7164979200 7496691200 7906666500 8096426496 8433777600 8956224000 8996029440 9242496000 9370864000 9502848000 10120533120 10542222000 10795235328 11090995200 11245036800 11403417600 11941632000 12650666400 13494044160 13863744000 14056296000 14254272000 14993382400 15813333000 16192852992 16867555200 17912448000 17992058880 18484992000 18741728000 19005696000 20241066240 21084444000 22490073600 25301332800 26988088320 27727488000 28112592000 28508544000 29986764800 31626666000 32385705984 33735110400 35824896000 37483456000 40482132480 42168888000 44980147200 50602665600 53976176640 55454976000 56225184000 57017088000 63253332000 67470220800 74966912000 80964264960 84337776000 89960294400 101205331200 112450368000 126506664000 134940441600 149933824000 161928529920 168675552000 202410662400 224900736000 253013328000 269880883200 337351104000 404821324800 449801472000 506026656000 674702208000 809642649600 1012053312000 1349404416000 2024106624000 4048213248000
- Sum of all divisors σ(n): 15520566297600
- Sum of proper divisors (its aliquot sum) s(n): 11472353049600
- 4048213248000 is an abundant number, because the sum of its proper divisors (11472353049600) is greater than itself. Its abundance is 7424139801600
Bases of 4048213248000
- Binary: 1110101110100011000101000000001000000000002
- Hexadecimal: 0x3AE8C500800
- Base-36: 1FNQ1N9C0
Squares and roots of 4048213248000
- 4048213248000 squared (40482132480002) is 16388030501282709504000000
- 4048213248000 cubed (40482132480003) is 66342242183920745607428308992000000000
-
The
square root of 4048213248000 is 2012017.2086739217 -
The
cube root of 4048213248000 is 15937.5341098229
Scales and comparisons
How big is 4048213248000?- 4,048,213,248,000 seconds is equal to 128,720 years, 34 weeks, 2 days.
-
To count from 1 to 4,048,213,248,000 would take you about three hundred twenty-one thousand, eight hundred 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 4048213248000 cubic inches would be around 1328.1 feet tall.
Recreational maths with 4048213248000
- 4048213248000 backwards is 0008423128404
- 4048213248000 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 4048213248000's digits is 36
- More coming soon!
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"Number 4048213248000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 4048213248000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/4048213248000/
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The information we have on file for 4048213248000 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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