48138210048000
48,138,210,048,000 is an even composite number composed of six prime numbers multiplied together.
48138210048000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 48138210048000:
211 × 3 × 53 × 37 × 127 × 13339
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 37 × 127 × 13339)See below for interesting mathematical facts about the number 48138210048000 from the Numbermatics database.
Names of 48138210048000
- Cardinal: 48138210048000 can be written as Forty-eight trillion, one hundred thirty-eight billion, two hundred ten million, forty-eight thousand.
Scientific notation
- Scientific notation: 4.8138210048 × 1013
Factors of 48138210048000
Divisors of 48138210048000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 48 50 60 64 74 75 80 96 100 111 120 125 127 128 148 150 160 185 192 200 222 240 250 254 256 296 300 320 370 375 381 384 400 444 480 500 508 512 555 592 600 635 640 740 750 762 768 800 888 925 960 1000 1016 1024 1110 1184 1200 1270 1280 1480 1500 1524 1536 1600 1776 1850 1905 1920 2000 2032 2048 2220 2368 2400 2540 2560 2775 2960 3000 3048 3072 3175 3200 3552 3700 3810 3840 4000 4064 4440 4625 4699 4736 4800 5080 5120 5550 5920 6000 6096 6144 6350 6400 7104 7400 7620 7680 8000 8128 8880 9250 9398 9472 9525 9600 10160 10240 11100 11840 12000 12192 12700 12800 13339 13875 14097 14208 14800 15240 15360 15875 16000 16256 17760 18500 18796 18944 19050 19200 20320 22200 23495 23680 24000 24384 25400 25600 26678 27750 28194 28416 29600 30480 30720 31750 32000 32512 35520 37000 37592 37888 38100 38400 40017 40640 44400 46990 47360 47625 48000 48768 50800 51200 53356 55500 56388 56832 59200 60960 63500 64000 65024 66695 70485 71040 74000 75184 75776 76200 76800 80034 81280 88800 93980 94720 95250 96000 97536 101600 106712 111000 112776 113664 117475 118400 121920 127000 128000 130048 133390 140970 142080 148000 150368 152400 153600 160068 162560 177600 187960 189440 190500 192000 195072 200085 203200 213424 222000 225552 227328 234950 236800 243840 254000 256000 260096 266780 281940 284160 296000 300736 304800 320136 325120 333475 352425 355200 375920 378880 381000 384000 390144 400170 406400 426848 444000 451104 469900 473600 487680 493543 508000 533560 563880 568320 587375 592000 601472 609600 640272 650240 666950 704850 710400 751840 762000 768000 780288 800340 812800 853696 888000 902208 939800 947200 975360 987086 1000425 1016000 1067120 1127760 1136640 1174750 1184000 1202944 1219200 1280544 1300480 1333900 1409700 1420800 1480629 1503680 1524000 1600680 1625600 1667375 1694053 1707392 1762125 1776000 1804416 1879600 1894400 1950720 1974172 2000850 2032000 2134240 2255520 2349500 2368000 2405888 2438400 2467715 2561088 2667800 2819400 2841600 2961258 3007360 3048000 3201360 3251200 3334750 3388106 3414784 3524250 3552000 3608832 3759200 3901440 3948344 4001700 4064000 4268480 4511040 4699000 4736000 4811776 4876800 4935430 5002125 5082159 5122176 5335600 5638800 5683200 5922516 6014720 6096000 6402720 6502400 6669500 6776212 6829568 7048500 7104000 7217664 7403145 7518400 7896688 8003400 8128000 8470265 8536960 9022080 9398000 9472000 9623552 9753600 9870860 10004250 10164318 10244352 10671200 11277600 11845032 12029440 12192000 12338575 12805440 13339000 13552424 13659136 14097000 14208000 14435328 14806290 15036800 15793376 16006800 16256000 16940530 17073920 18044160 18796000 19507200 19741720 20008500 20328636 20488704 21342400 22555200 23690064 24058880 24384000 24677150 25410795 25610880 26678000 27104848 27318272 28194000 28416000 28870656 29612580 30073600 31586752 32013600 32512000 33881060 34147840 36088320 37015725 37592000 39483440 40017000 40657272 40977408 42351325 42684800 45110400 47380128 48117760 48768000 49354300 50821590 51221760 53356000 54209696 56388000 59225160 60147200 61692875 62679961 63173504 64027200 67762120 68295680 72176640 74031450 75184000 78966880 80034000 81314544 81954816 84702650 85369600 90220800 94760256 97536000 98708600 101643180 102443520 106712000 108419392 112776000 118450320 120294400 123385750 125359922 126347008 127053975 128054400 135524240 136591360 144353280 148062900 150368000 157933760 160068000 162629088 169405300 170739200 180441600 185078625 188039883 189520512 197417200 203286360 204887040 211756625 213424000 216838784 225552000 236900640 240588800 246771500 250719844 252694016 254107950 256108800 271048480 296125800 300736000 313399805 315867520 320136000 325258176 338810600 341478400 360883200 370157250 376079766 379041024 394834400 406572720 409774080 423513250 426848000 433677568 451104000 473801280 493543000 501439688 505388032 508215900 512217600 542096960 592251600 601472000 626799610 631735040 635269875 640272000 650516352 677621200 682956800 721766400 740314500 752159532 758082048 789668800 813145440 847026500 853696000 867355136 902208000 940199415 947602560 987086000 1002879376 1010776064 1016431800 1024435200 1084193920 1184503200 1202944000 1253599220 1263470080 1270539750 1280544000 1301032704 1355242400 1480629000 1504319064 1516164096 1566999025 1579337600 1626290880 1694053000 1707392000 1734710272 1804416000 1880398830 1895205120 1974172000 2005758752 2032863600 2048870400 2168387840 2369006400 2507198440 2526940160 2541079500 2561088000 2602065408 2710484800 2961258000 3008638128 3032328192 3133998050 3158675200 3252581760 3388106000 3414784000 3469420544 3608832000 3760797660 3790410240 3948344000 4011517504 4065727200 4336775680 4700997075 4738012800 5014396880 5053880320 5082159000 5122176000 5204130816 5420969600 5922516000 6017276256 6267996100 6317350400 6505163520 6776212000 7521595320 7580820480 7834995125 7896688000 8023035008 8131454400 8673551360 9401994150 9476025600 10028793760 10164318000 10244352000 10408261632 10841939200 11845032000 12034552512 12535992200 12634700800 13010327040 13552424000 15043190640 15161640960 15669990250 15793376000 16046070016 16262908800 17347102720 18803988300 18952051200 20057587520 20328636000 21683878400 23504985375 23690064000 24069105024 25071984400 25269401600 26020654080 27104848000 30086381280 31339980500 31586752000 32092140032 32525817600 37607976600 37904102400 40115175040 40657272000 43367756800 47009970750 47380128000 48138210048 50143968800 52041308160 54209696000 60172762560 62679961000 63173504000 64184280064 65051635200 75215953200 75808204800 80230350080 81314544000 86735513600 94019941500 94760256000 96276420096 100287937600 108419392000 120345525120 125359922000 126347008000 128368560128 130103270400 150431906400 160460700160 162629088000 188039883000 189520512000 192552840192 200575875200 216838784000 240691050240 250719844000 260206540800 300863812800 320921400320 325258176000 376079766000 379041024000 385105680384 401151750400 433677568000 481382100480 501439688000 601727625600 641842800640 650516352000 752159532000 802303500800 962764200960 1002879376000 1203455251200 1301032704000 1504319064000 1604607001600 1925528401920 2005758752000 2406910502400 3008638128000 3209214003200 4011517504000 4813821004800 6017276256000 8023035008000 9627642009600 12034552512000 16046070016000 24069105024000 48138210048000
- Sum of all divisors σ(n): 165801284812800
- Sum of proper divisors (its aliquot sum) s(n): 117663074764800
- 48138210048000 is an abundant number, because the sum of its proper divisors (117663074764800) is greater than itself. Its abundance is 69524864716800
Bases of 48138210048000
- Binary: 10101111001000000011001110100011111000000000002
- Hexadecimal: 0x2BC80CE8F800
- Base-36: H2ADZDCLC
Squares and roots of 48138210048000
- 48138210048000 squared (481382100480002) is 2317287266625368162304000000
- 48138210048000 cubed (481382100480003) is 111550061182367752722321707630592000000000
-
The
square root of 48138210048000 is 6938170.5115974197 -
The
cube root of 48138210048000 is 36377.2595876005
Scales and comparisons
How big is 48138210048000?- 48,138,210,048,000 seconds is equal to 1,530,646 years, 9 weeks, 1 day, 21 hours, 20 minutes.
-
To count from 1 to 48,138,210,048,000 would take you about three million, eight hundred twenty-six thousand, six hundred fifteen 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 48138210048000 cubic inches would be around 3031.4 feet tall.
Recreational maths with 48138210048000
- 48138210048000 backwards is 00084001283184
- The number of decimal digits it has is: 14
- The sum of 48138210048000's digits is 39
- More coming soon!
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