48968216096800
48,968,216,096,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48968216096800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
48968216096800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 48968216096800:
25 × 52 × 7 × 112 × 13 × 532 × 1979
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 11 × 13 × 53 × 53 × 1979)See below for interesting mathematical facts about the number 48968216096800 from the Numbermatics database.
Names of 48968216096800
- Cardinal: 48968216096800 can be written as Forty-eight trillion, nine hundred sixty-eight billion, two hundred sixteen million, ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 4.89682160968 × 1013
Factors of 48968216096800
Divisors of 48968216096800
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 44 50 52 53 55 56 65 70 77 80 88 91 100 104 106 110 112 121 130 140 143 154 160 175 176 182 200 208 212 220 224 242 260 265 275 280 286 308 325 350 352 364 371 385 400 416 424 440 455 484 520 530 550 560 572 583 605 616 650 689 700 715 728 742 770 800 847 848 880 910 968 1001 1040 1060 1100 1120 1144 1166 1210 1232 1300 1325 1378 1400 1430 1456 1484 1540 1573 1694 1696 1760 1820 1855 1925 1936 1979 2002 2080 2120 2200 2275 2288 2332 2420 2464 2600 2650 2756 2800 2809 2860 2912 2915 2968 3025 3080 3146 3388 3445 3575 3640 3710 3850 3872 3958 4004 4081 4235 4240 4400 4550 4576 4664 4823 4840 5005 5200 5300 5512 5600 5618 5720 5830 5936 6050 6160 6292 6413 6776 6890 7150 7280 7420 7579 7700 7865 7916 8008 8162 8470 8480 8800 9100 9275 9328 9646 9680 9895 10010 10400 10600 11011 11024 11236 11440 11660 11872 12100 12320 12584 12826 13552 13780 13853 14045 14300 14560 14575 14840 15158 15400 15730 15832 16016 16324 16940 17225 18200 18550 18656 19292 19360 19663 19790 20020 20405 21175 21200 21769 22022 22048 22472 22880 23320 24115 24200 25025 25168 25652 25727 27104 27560 27706 28090 28600 29150 29680 30316 30800 30899 31460 31664 32032 32065 32648 33880 34450 36400 36517 37100 37895 38584 39325 39326 39580 40040 40810 42350 42400 43538 44044 44891 44944 46640 48230 48400 49475 50050 50336 51304 51454 53053 55055 55120 55412 56180 57200 58300 59360 60632 61600 61798 62920 63328 64130 65296 67760 68900 69265 70225 72800 73034 74200 75790 77168 78650 78652 79160 80080 81620 83369 84700 87076 88088 89782 89888 93280 96460 96800 98315 98950 100100 102025 102608 102908 104887 106106 108845 110110 110240 110824 112360 114400 116600 120575 121264 123596 125840 128260 128635 130592 135520 137800 138530 140450 146068 148400 151580 152383 154336 154495 157300 157304 158320 160160 160325 163240 166738 169400 174152 176176 179564 180089 182585 189475 192920 196630 197900 200200 204050 205216 205816 209774 212212 216293 217690 220220 221648 224455 224720 233200 239459 241150 242528 247192 251680 255619 256520 257270 265265 275275 275600 277060 280900 282997 292136 296800 303160 304766 308990 314600 314608 316640 320650 326480 333476 338800 339889 346325 348304 352352 359128 360178 365170 378950 385840 393260 395800 400400 401687 408100 411632 416845 419548 424424 432586 435380 440440 443296 448910 449440 466400 478918 482300 491575 494384 511238 513040 514540 524435 530530 544225 550550 551200 554120 561800 565994 583583 584272 606320 609532 617980 629200 629216 641300 643175 652960 666952 677600 679778 692650 696608 718256 720356 730340 734209 757900 761915 771680 772475 786520 791600 800800 803374 816200 823264 833690 839096 848848 865172 870760 880880 897820 900445 912925 957836 964600 983150 988768 1022476 1026080 1029080 1048870 1061060 1081465 1088450 1101100 1108240 1122275 1123600 1131988 1153757 1167166 1168544 1197295 1212640 1219064 1235960 1258400 1278095 1282600 1286350 1326325 1333904 1359556 1363531 1385300 1414985 1436512 1440712 1460680 1468418 1515800 1523830 1544950 1573040 1583200 1606748 1632400 1667380 1676213 1678192 1697696 1699445 1730344 1741520 1761760 1795640 1800890 1825850 1915672 1929200 1966300 1980979 2008435 2044952 2058160 2084225 2097740 2122120 2162930 2176900 2202200 2216480 2244550 2247200 2263976 2307514 2334332 2379223 2394590 2438128 2471920 2556190 2565200 2572700 2622175 2652650 2667808 2719112 2727062 2770600 2811809 2829970 2881424 2917915 2921360 2936836 3031600 3047660 3089900 3112967 3146080 3213496 3264800 3334760 3352426 3356384 3398890 3460688 3483040 3591280 3601780 3651700 3671045 3809575 3831344 3858400 3932600 3961958 4016870 4089904 4116320 4168450 4195480 4244240 4325860 4353800 4404400 4418557 4489100 4502225 4527952 4615028 4668664 4758446 4789180 4876256 4943840 5112380 5130400 5145400 5244350 5305300 5407325 5438224 5454124 5541200 5559011 5623618 5659940 5762848 5768785 5835830 5842720 5873672 5986475 6063200 6095320 6179800 6225934 6390475 6426992 6669520 6704852 6797780 6817655 6921376 7074925 7182560 7203560 7303400 7342090 7619150 7662688 7865200 7923916 8033740 8076299 8179808 8336900 8381065 8390960 8488480 8497225 8651720 8707600 8808800 8837114 8978200 9004450 9055904 9230056 9337328 9516892 9544717 9578360 9904895 10042175 10224760 10290800 10488700 10610600 10814650 10876448 10908248 11082400 11118022 11247236 11319880 11537570 11671660 11747344 11896115 11972950 12190640 12359600 12451868 12691327 12780950 12853984 13339040 13409704 13595560 13635310 14059045 14149850 14407120 14589575 14606800 14684180 14998841 15238300 15564835 15730400 15847832 16067480 16152598 16673800 16762130 16781920 16994450 17303440 17415200 17674228 17956400 18008900 18355225 18460112 18674656 19033784 19089434 19156720 19809790 20084350 20449520 20581600 20977400 21221200 21629300 21790769 21816496 22092785 22236044 22494472 22639760 23075140 23343320 23494688 23792230 23945900 24381280 24719200 24903736 25382654 25561900 26819408 27191120 27270620 27795055 28118090 28299700 28814240 28843925 29179150 29213600 29368360 29997682 30476600 30929899 31129670 31695664 32134960 32305196 33347600 33524260 33988900 34088275 34606880 35348456 35912800 36017800 36710450 36920224 38067568 38178868 38313440 38913077 39619580 40168700 40381495 40899040 41905325 41954800 42442400 43258600 43581538 43632992 44185570 44472088 44988944 45279520 46150280 46686640 47584460 47723585 47891800 49524475 49807472 50765308 51123800 53638816 54382240 54541240 55590110 56236180 56599400 57687850 58358300 58736720 59480575 59995364 60953200 61149121 61859798 62259340 63391328 63456635 64269920 64610392 66695200 67048520 67977800 68176550 70295225 70696912 72035600 72267143 73420900 74994205 76135136 76357736 77824175 77826154 79239160 80337400 80762990 83810650 83909600 86517200 87163076 88371140 88839289 88944176 89977888 92300560 93373280 95168920 95447170 95783600 99048950 99614944 101530616 102247600 104991887 108953845 109082480 110463925 111180220 112472360 113198800 115375700 116716600 117473440 118961150 119990728 121906400 122298242 123719596 124518680 126913270 129220784 134097040 135955600 136353100 138975275 140590450 141393824 144071200 144534286 146841800 149988410 152715472 154649495 155648350 155652308 158478320 160674800 161525980 164987251 167621300 173034400 174326152 176742280 177678578 177888352 184601120 190337840 190894340 191567200 194565385 198097900 201907475 203061232 204495200 209983774 217907690 218164960 220927850 222360440 224944720 226397600 230751400 233433200 237922300 238617925 239981456 244596484 247439192 249037360 253826540 258441568 268194080 271911200 272706200 277950550 281180900 289068572 293683600 299976820 305430944 305745605 309298990 311296700 311304616 316956640 317283175 321349600 323051960 329974502 335242600 348652304 353484560 355357156 361335715 374971025 380675680 381788680 389130770 396195800 403814950 406122464 419967548 428043847 435815380 441855700 444196445 444720880 449889440 461502800 466866400 475844600 477235850 479962912 489192968 494878384 498074720 505870001 507653080 524959435 544769225 545412400 555901100 562361800 578137144 587367200 599953640 611491210 618597980 622593400 622609232 634566350 646103920 659949004 670485200 672640331 697304608 706969120 710714312 722671430 749942050 763577360 773247475 778261540 792391600 794938573 807629900 824936255 839935096 856087694 871630760 883711400 888392890 889441760 923005600 951689200 954471700 972826925 978385936 989756768 1011740002 1015306160 1049918870 1089538450 1090824800 1111802200 1124723600 1154910757 1156274288 1199907280 1222982420 1237195960 1245186800 1245218464 1269132700 1292207840 1319898008 1340970400 1345280662 1421428624 1445342860 1499884100 1527154720 1528728025 1546494950 1556523080 1584783200 1589877146 1615259800 1649872510 1679870192 1712175388 1743261520 1767422800 1776785780 1806678575 1903378400 1908943400 1945653850 1956771872 2023480004 2030612320 2099837740 2140219235 2179076900 2220982225 2223604400 2249447200 2309821514 2312548576 2399814560 2445964840 2474391920 2490373600 2529350005 2538265400 2624797175 2639796016 2690561324 2842857248 2890685720 2999768200 3057456050 3092989900 3113046160 3179754292 3230519600 3299745020 3359740384 3363201655 3424350776 3486523040 3534845600 3553571560 3613357150 3817886800 3891307700 3974692865 4046960008 4124681275 4199675480 4280438470 4358153800 4441964450 4447208800 4619643028 4708482317 4891929680 4948783840 5058700010 5076530800 5249594350 5279592032 5381122648 5564570011 5774553785 5781371440 5999536400 6114912100 6185979800 6226092320 6359508584 6461039200 6599490040 6726403310 6848701552 7107143120 7226714300 7635773600 7782615400 7949385730 8093920016 8249362550 8399350960 8560876940 8716307600 8744324303 8883928900 9239286056 9416964634 9783859360 10117400020 10153061600 10499188700 10701096175 10762245296 11129140022 11549107570 11562742880 11999072800 12229824200 12371959600 12646750025 12719017168 13198980080 13452806620 13697403104 14214286240 14453428600 15565230800 15898771460 16187840032 16498725100 16798701920 16816008275 17121753880 17432615200 17488648606 17767857800 18478572112 18833929268 19873464325 20234800040 20998377400 21402192350 21524490592 22258280044 23098215140 23542411585 24459648400 24743919200 25293500050 25438034336 26397960160 26905613240 27822850055 28872768925 28906857200 31130461600 31797542920 32997450200 33632016550 34243507760 34977297212 35535715600 36957144224 37667858536 39746928650 40469600080 41996754800 42804384700 43721621515 44516560088 46196430280 47084823170 48919296800 50587000100 53811226480 55645700110 57745537850 57813714400 61210270121 63595085840 65994900400 67264033100 68487015520 69954594424 71071431200 75335717072 79493857300 80939200160 83993509600 85608769400 87443243030 89033120176 92392860560 94169646340 101174000200 107622452960 111291400220 115491075700 117712057925 122420540242 127190171680 131989800800 134528066200 139114250275 139909188848 150671434144 158987714600 171217538800 174886486060 178066240352 184785721120 188339292680 202348000400 218608107575 222582800440 230982151400 235424115850 244841080484 269056132400 278228500550 279818377696 306051350605 317975429200 342435077600 349772972120 376678585360 404696000800 437216215150 445165600880 461964302800 470848231700 489682160968 538112264800 556457001100 612102701210 635950858400 699545944240 753357170720 874432430300 890331201760 923928605600 941696463400 979364321936 1112914002200 1224205402420 1399091888480 1530256753025 1748864860600 1883392926800 1958728643872 2225828004400 2448410804840 3060513506050 3497729721200 3766785853600 4451656008800 4896821609680 6121027012100 6995459442400 9793643219360 12242054024200 24484108048400 48968216096800
- Sum of all divisors σ(n): 164914349181120
- Sum of proper divisors (its aliquot sum) s(n): 115946133084320
- 48968216096800 is an abundant number, because the sum of its proper divisors (115946133084320) is greater than itself. Its abundance is 66977916987520
Bases of 48968216096800
- Binary: 10110010001001010011010010000000110000001000002
- Hexadecimal: 0x2C894D203020
- Base-36: HCVORJIN4
Squares and roots of 48968216096800
- 48968216096800 squared (489682160968002) is 2397886187702902626970240000
- 48968216096800 cubed (489682160968003) is 117420209014967662634087112182559232000000
-
The
square root of 48968216096800 is 6997729.3529258475 -
The
cube root of 48968216096800 is 36585.1433468223
Scales and comparisons
How big is 48968216096800?- 48,968,216,096,800 seconds is equal to 1,557,037 years, 41 weeks, 5 days, 9 hours, 6 minutes, 40 seconds.
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To count from 1 to 48,968,216,096,800 would take you about three million, eight hundred ninety-two thousand, five hundred ninety-four 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 48968216096800 cubic inches would be around 3048.8 feet tall.
Recreational maths with 48968216096800
- 48968216096800 backwards is 00869061286984
- The number of decimal digits it has is: 14
- The sum of 48968216096800's digits is 67
- More coming soon!
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The information we have on file for 48968216096800 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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