5340978137395200
5,340,978,137,395,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 5340978137395200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 624 divisors.
5340978137395200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred twenty-four divisors.
Prime factorization of 5340978137395200:
212 × 3 × 52 × 3493 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 349 × 349 × 349 × 409)See below for interesting mathematical facts about the number 5340978137395200 from the Numbermatics database.
Names of 5340978137395200
- Cardinal: 5340978137395200 can be written as Five quadrillion, three hundred forty trillion, nine hundred seventy-eight billion, one hundred thirty-seven million, three hundred ninety-five thousand, two hundred.
Scientific notation
- Scientific notation: 5.3409781373952 × 1015
Factors of 5340978137395200
Divisors of 5340978137395200
- Number of divisors d(n): 624
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 349 384 400 409 480 512 600 640 698 768 800 818 960 1024 1047 1200 1227 1280 1396 1536 1600 1636 1745 1920 2045 2048 2094 2400 2454 2560 2792 3072 3200 3272 3490 3840 4090 4096 4188 4800 4908 5120 5235 5584 6135 6144 6400 6544 6980 7680 8180 8376 8725 9600 9816 10225 10240 10470 11168 12270 12288 12800 13088 13960 15360 16360 16752 17450 19200 19632 20450 20480 20940 22336 24540 25600 26175 26176 27920 30675 30720 32720 33504 34900 38400 39264 40900 41880 44672 49080 51200 52350 52352 55840 61350 61440 65440 67008 69800 76800 78528 81800 83760 89344 98160 102400 104700 104704 111680 121801 122700 130880 134016 139600 142741 153600 157056 163600 167520 178688 196320 209400 209408 223360 243602 245400 261760 268032 279200 285482 307200 314112 327200 335040 357376 365403 392640 418800 418816 428223 446720 487204 490800 523520 536064 558400 570964 609005 628224 654400 670080 713705 714752 730806 785280 837600 837632 856446 893440 974408 981600 1047040 1072128 1116800 1141928 1218010 1256448 1308800 1340160 1427410 1429504 1461612 1570560 1675200 1675264 1712892 1786880 1827015 1948816 1963200 2094080 2141115 2144256 2233600 2283856 2436020 2512896 2617600 2680320 2854820 2923224 3045025 3141120 3350400 3425784 3568525 3573760 3654030 3897632 3926400 4188160 4282230 4288512 4467200 4567712 4872040 5025792 5235200 5360640 5709640 5846448 6090050 6282240 6700800 6851568 7137050 7147520 7308060 7795264 7852800 8376320 8564460 8934400 9135075 9135424 9744080 10470400 10705575 10721280 11419280 11692896 12180100 12564480 13401600 13703136 14274100 14616120 15590528 15705600 17128920 17868800 18270150 18270848 19488160 20940800 21411150 21442560 22838560 23385792 24360200 25128960 26803200 27406272 28548200 29232240 31181056 31411200 34257840 35737600 36540300 36541696 38976320 41881600 42508549 42822300 45677120 46771584 48720400 49816609 53606400 54812544 57096400 58464480 62362112 62822400 68515680 73080600 73083392 77952640 85017098 85644600 91354240 93543168 97440800 99633218 107212800 109625088 114192800 116928960 124724224 125644800 127525647 137031360 146161200 146166784 149449827 155905280 170034196 171289200 182708480 187086336 194881600 199266436 212542745 219250176 228385600 233857920 249083045 249448448 255051294 274062720 292322400 292333568 298899654 311810560 340068392 342578400 365416960 374172672 389763200 398532872 425085490 438500352 456771200 467715840 498166090 498896896 510102588 548125440 584644800 584667136 597799308 623621120 637628235 680136784 685156800 730833920 747249135 748345344 779526400 797065744 850170980 877000704 913542400 935431680 996332180 1020205176 1062713725 1096250880 1169289600 1195598616 1245415225 1247242240 1275256470 1360273568 1370313600 1461667840 1494498270 1496690688 1559052800 1594131488 1700341960 1754001408 1827084800 1870863360 1992664360 2040410352 2125427450 2192501760 2338579200 2391197232 2490830450 2494484480 2550512940 2720547136 2740627200 2923335680 2988996540 3118105600 3188141175 3188262976 3400683920 3654169600 3736245675 3741726720 3985328720 4080820704 4250854900 4385003520 4677158400 4782394464 4981660900 5101025880 5441094272 5481254400 5977993080 6236211200 6376282350 6376525952 6801367840 7308339200 7472491350 7483453440 7970657440 8161641408 8501709800 8770007040 9354316800 9564788928 9963321800 10202051760 10882188544 10962508800 11955986160 12472422400 12752564700 12753051904 13602735680 14616678400 14944982700 15941314880 16323282816 17003419600 17385996541 18708633600 19129577856 19926643600 20404103520 21764377088 21925017600 23911972320 25505129400 25506103808 27205471360 29889965400 31882629760 32646565632 34006839200 34771993082 37417267200 38259155712 39853287200 40808207040 43528754176 43850035200 47823944640 51010258800 51012207616 52157989623 54410942720 59779930800 63765259520 65293131264 68013678400 69543986164 76518311424 79706574400 81616414080 86929982705 87057508352 95647889280 102020517600 102024415232 104315979246 108821885440 119559861600 127530519040 130586262528 136027356800 139087972328 153036622848 159413148800 163232828160 173859965410 174115016704 191295778560 204041035200 204048830464 208631958492 217643770880 239119723200 255061038080 260789948115 261172525056 272054713600 278175944656 306073245696 318826297600 326465656320 347719930820 382591557120 408082070400 417263916984 434649913525 435287541760 478239446400 510122076160 521579896230 522345050112 544109427200 556351889312 612146491392 637652595200 652931312640 695439861640 765183114240 816164140800 834527833968 869299827050 870575083520 956478892800 1020244152320 1043159792460 1088218854400 1112703778624 1275305190400 1303949740575 1305862625280 1390879723280 1530366228480 1632328281600 1669055667936 1738599654100 1912957785600 2086319584920 2176437708800 2225407557248 2550610380800 2607899481150 2611725250560 2781759446560 3060732456960 3264656563200 3338111335872 3477199308200 3825915571200 4172639169840 4352875417600 4450815114496 5101220761600 5215798962300 5563518893120 6529313126400 6676222671744 6954398616400 7651831142400 8345278339680 8901630228992 10431597924600 11127037786240 13058626252800 13352445343488 13908797232800 15303662284800 16690556679360 17803260457984 20863195849200 22254075572480 26704890686976 27817594465600 33381113358720 35606520915968 41726391698400 44508151144960 53409781373952 55635188931200 66762226717440 71213041831936 83452783396800 89016302289920 106819562747904 111270377862400 133524453434880 166905566793600 178032604579840 213639125495808 222540755724800 267048906869760 333811133587200 356065209159680 445081511449600 534097813739520 667622267174400 890163022899200 1068195627479040 1335244534348800 1780326045798400 2670489068697600 5340978137395200
- Sum of all divisors σ(n): 17752721158508000
- Sum of proper divisors (its aliquot sum) s(n): 12411743021112800
- 5340978137395200 is an abundant number, because the sum of its proper divisors (12411743021112800) is greater than itself. Its abundance is 7070764883717600
Bases of 5340978137395200
- Binary: 100101111100110010111011000001010000111110000000000002
- Hexadecimal: 0x12F99760A1F000
- Base-36: 1GL7VHF1ATC
Squares and roots of 5340978137395200
- 5340978137395200 squared (53409781373952002) is 28526047464133499888640983040000
- 5340978137395200 cubed (53409781373952003) is 152356995852234808512348984214818712977408000000
-
The
square root of 5340978137395200 is 73081995.9866669213 -
The
cube root of 5340978137395200 is 174799.5324860819
Scales and comparisons
How big is 5340978137395200?- 5,340,978,137,395,200 seconds is equal to 169,826,584 years, 2 weeks, 5 hours, 20 minutes.
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To count from 1 to 5,340,978,137,395,200 would take you about five hundred nine million, four hundred seventy-nine thousand, seven hundred fifty-two 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 5340978137395200 cubic inches would be around 14566.6 feet tall.
Recreational maths with 5340978137395200
- 5340978137395200 backwards is 0025937318790435
- The number of decimal digits it has is: 16
- The sum of 5340978137395200's digits is 66
- More coming soon!
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