13480372806893798400
13,480,372,806,893,798,400 is an even composite number composed of five prime numbers multiplied together.
13480372806893798400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and seventy-nine divisors.
Prime factorization of 13480372806893798400:
210 × 32 × 52 × 72 × 1036
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 103 × 103 × 103 × 103 × 103 × 103)See below for interesting mathematical facts about the number 13480372806893798400 from the Numbermatics database.
Names of 13480372806893798400
- Cardinal: 13480372806893798400 can be written as Thirteen quintillion, four hundred eighty quadrillion, three hundred seventy-two trillion, eight hundred six billion, eight hundred ninety-three million, seven hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.34803728068937984 × 1019
Factors of 13480372806893798400
Divisors of 13480372806893798400
- Number of divisors d(n): 2079
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 75 80 84 90 96 98 100 103 105 112 120 126 128 140 144 147 150 160 168 175 180 192 196 200 206 210 224 225 240 245 252 256 280 288 294 300 309 315 320 336 350 360 384 392 400 412 420 441 448 450 480 490 504 512 515 525 560 576 588 600 618 630 640 672 700 720 721 735 768 784 800 824 840 882 896 900 927 960 980 1008 1024 1030 1050 1120 1152 1176 1200 1225 1236 1260 1280 1344 1400 1440 1442 1470 1536 1545 1568 1575 1600 1648 1680 1764 1792 1800 1854 1920 1960 2016 2060 2100 2163 2205 2240 2304 2352 2400 2450 2472 2520 2560 2575 2688 2800 2880 2884 2940 3072 3090 3136 3150 3200 3296 3360 3528 3584 3600 3605 3675 3708 3840 3920 4032 4120 4200 4326 4410 4480 4608 4635 4704 4800 4900 4944 5040 5047 5120 5150 5376 5600 5760 5768 5880 6180 6272 6300 6400 6489 6592 6720 7056 7168 7200 7210 7350 7416 7680 7725 7840 8064 8240 8400 8652 8820 8960 9216 9270 9408 9600 9800 9888 10080 10094 10300 10609 10752 10815 11025 11200 11520 11536 11760 12360 12544 12600 12800 12978 13184 13440 14112 14400 14420 14700 14832 15141 15360 15450 15680 16128 16480 16800 17304 17640 17920 18025 18540 18816 19200 19600 19776 20160 20188 20600 21218 21504 21630 22050 22400 23040 23072 23175 23520 24720 25088 25200 25235 25600 25956 26368 26880 28224 28800 28840 29400 29664 30282 30900 31360 31827 32256 32445 32960 33600 34608 35280 35840 36050 37080 37632 38400 39200 39552 40320 40376 41200 42436 43260 44100 44800 45423 46080 46144 46350 47040 49440 50176 50400 50470 51912 52736 53045 53760 54075 56448 57600 57680 58800 59328 60564 61800 62720 63654 64512 64890 65920 67200 69216 70560 72100 74160 74263 75264 75705 76800 78400 79104 80640 80752 82400 84872 86520 88200 89600 90846 92288 92700 94080 95481 98880 100800 100940 103824 105472 106090 107520 108150 112896 115200 115360 117600 118656 121128 123600 125440 126175 127308 129780 131840 134400 138432 141120 144200 148320 148526 150528 151410 156800 158208 159135 161280 161504 162225 164800 169744 173040 176400 179200 181692 184576 185400 188160 190962 197760 201600 201880 207648 212180 216300 222789 225792 227115 230400 230720 235200 237312 242256 247200 250880 252350 254616 259560 263680 265225 268800 276864 282240 288400 296640 297052 302820 313600 316416 318270 322560 323008 324450 329600 339488 346080 352800 363384 369152 370800 371315 376320 378525 381924 395520 403200 403760 415296 424360 432600 445578 451584 454230 461440 470400 474624 477405 484512 494400 504700 509232 519120 519841 527360 530450 537600 553728 564480 576800 593280 594104 605640 627200 636540 646016 648900 659200 668367 678976 692160 705600 726768 738304 741600 742630 752640 757050 763848 791040 795675 806400 807520 830592 848720 865200 891156 908460 922880 940800 949248 954810 969024 988800 1009400 1018464 1038240 1039682 1060900 1092727 1107456 1113945 1128960 1135575 1153600 1186560 1188208 1211280 1254400 1273080 1292032 1297800 1318400 1336734 1357952 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467419306757760 468068500239368 477620918611600 501501964542180 511239866766300 519354785286400 526577062769289 534193493437440 534935428844992 537323533438050 545322524550720 573145102333920 581677359520768 584274133447200 585085625299210 601802357450616 611354775822848 623225742343680 626877455677725 635327213068800 654387029460864 667741866796800 668669286056240 681653155688400 687774122800704 702102750359052 716431377917400 727096699400960 747870890812416 752252946813270 764193469778560 779032177929600 802403143267488 817983786826080 835836607570300 859717653500880 872516039281152 877628437948815 890322489062400 908870874251200 917032163734272 934838613515520 936137000478736 955241837223200 1003003929084360 1022479733532600 1038709570572800 1053154125538578 1069870857689984 1074647066876100 1090645049101440 1146290204667840 1168548266894400 1170171250598420 1203604714901232 1222709551645696 1246451484687360 1253754911355450 1270654426137600 1308774058921728 1335483733593600 1337338572112480 1363306311376800 1375548245601408 1404205500718104 1432862755834800 1454193398801920 1462714063248025 1504505893626540 1528386939557120 1558064355859200 1604806286534976 1635967573652160 1671673215140600 1719435307001760 1745032078562304 1755256875897630 1817741748502400 1834064327468544 1869677227031040 1872274000957472 1880632367033175 1910483674446400 2006007858168720 2044959467065200 2077419141145600 2106308251077156 2139741715379968 2149294133752200 2181290098202880 2292580409335680 2337096533788800 2340342501196840 2407209429802464 2507509822710900 2617548117843456 2632885313846445 2670967467187200 2674677144224960 2726612622753600 2751096491202816 2808411001436208 2865725511669600 2908386797603840 2925428126496050 3009011787253080 3056773879114240 3116128711718400 3209612573069952 3271935147304320 3343346430281200 3438870614003520 3510513751795260 3635483497004800 3668128654937088 3739354454062080 3744548001914944 3761264734066350 3820967348892800 4012015716337440 4089918934130400 4212616502154312 4279483430759936 4298588267504400 4362580196405760 4388142189744075 4585160818671360 4674193067577600 4680685002393680 4814418859604928 5015019645421800 5235096235686912 5265770627692890 5349354288449920 5453225245507200 5502192982405632 5616822002872416 5731451023339200 5850856252992100 6018023574506160 6113547758228480 6232257423436800 6419225146139904 6543870294608640 6686692860562400 6877741228007040 7021027503590520 7270966994009600 7489096003829888 7522529468132700 7641934697785600 8024031432674880 8179837868260800 8425233004308624 8558966861519872 8597176535008800 8725160392811520 8776284379488150 9170321637342720 9348386135155200 9361370004787360 9628837719209856 10030039290843600 10531541255385780 10698708576899840 10906450491014400 11004385964811264 11233644005744832 11462902046678400 11701712505984200 12036047149012320 12838450292279808 13087740589217280 13164426569232225 13373385721124800 13755482456014080 14042055007181040 14541933988019200 14978192007659776 15045058936265400 15283869395571200 16048062865349760 16359675736521600 16850466008617248 17194353070017600 17552568758976300 18340643274685440 18696772270310400 18722740009574720 19257675438419712 20060078581687200 21063082510771560 21397417153799680 21812900982028800 22467288011489664 22925804093356800 23403425011968400 24072094298024640 25676900584559616 26175481178434560 26328853138464450 26746771442249600 27510964912028160 28084110014362080 29956384015319552 30090117872530800 30567738791142400 32096125730699520 32719351473043200 33700932017234496 34388706140035200 35105137517952600 37445480019149440 38515350876839424 40120157163374400 42126165021543120 42794834307599360 43625801964057600 44934576022979328 45851608186713600 46806850023936800 48144188596049280 52657706276928900 53493542884499200 55021929824056320 56168220028724160 59912768030639104 60180235745061600 64192251461399040 65438702946086400 67401864034468992 68777412280070400 70210275035905200 74890960038298880 77030701753678848 80240314326748800 84252330043086240 89869152045958656 91703216373427200 93613700047873600 96288377192098560 105315412553857800 106987085768998400 112336440057448320 120360471490123200 128384502922798080 130877405892172800 134803728068937984 137554824560140800 140420550071810400 149781920076597760 160480628653497600 168504660086172480 179738304091917312 187227400095747200 192576754384197120 210630825107715600 213974171537996800 224672880114896640 240720942980246400 269607456137875968 275109649120281600 280841100143620800 299563840153195520 320961257306995200 337009320172344960 374454800191494400 385153508768394240 421261650215431200 449345760229793280 481441885960492800 539214912275751936 561682200287241600 641922514613990400 674018640344689920 748909600382988800 842523300430862400 898691520459586560 962883771920985600 1123364400574483200 1348037280689379840 1497819200765977600 1685046600861724800 1925767543841971200 2246728801148966400 2696074561378759680 3370093201723449600 4493457602297932800 6740186403446899200 13480372806893798400
- Sum of all divisors σ(n): 56696747505680997741
- Sum of proper divisors (its aliquot sum) s(n): 43216374698787199341
- 13480372806893798400 is an abundant number, because the sum of its proper divisors (43216374698787199341) is greater than itself. Its abundance is 29736001891893400941
Bases of 13480372806893798400
- Binary: 10111011000100111110011110100101010100101011110110000100000000002
- Hexadecimal: 0xBB13E7A552BD8400
- Base-36: 2UF15CEXKW740
Squares and roots of 13480372806893798400
- 13480372806893798400 squared (134803728068937984002) is 181720451012841784927611496379842560000
- 13480372806893798400 cubed (134803728068937984003) is 2449659426289989002681231061153240363671332432379904000000
-
13480372806893798400 is a
perfect square number . Itssquare root is 3671562720 -
The
cube root of 13480372806893798400 is 2379947.0839454117 - Being both a perfect square and a perfect cube, 13480372806893798400 is also a
perfect sixth number .
Scales and comparisons
How big is 13480372806893798400?- 13,480,372,806,893,798,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,480,372,806,893,798,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13480372806893798400 cubic inches would be around 198328.9 feet tall.
Recreational maths with 13480372806893798400
- 13480372806893798400 backwards is 00489739860827308431
- 13480372806893798400 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13480372806893798400's digits is 90
- More coming soon!
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"Number 13480372806893798400 - Facts about the integer". Numbermatics.com. 2024. Web. 18 May 2024.
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Numbermatics. (2024). Number 13480372806893798400 - Facts about the integer. Retrieved 18 May 2024, from https://numbermatics.com/n/13480372806893798400/
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The information we have on file for 13480372806893798400 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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