54988142845916800
54,988,142,845,916,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 54988142845916800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
54988142845916800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 54988142845916800:
27 × 52 × 132 × 149 × 1512 × 1732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 149 × 151 × 151 × 173 × 173)See below for interesting mathematical facts about the number 54988142845916800 from the Numbermatics database.
Names of 54988142845916800
- Cardinal: 54988142845916800 can be written as Fifty-four quadrillion, nine hundred eighty-eight trillion, one hundred forty-two billion, eight hundred forty-five million, nine hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 5.49881428459168 × 1016
Factors of 54988142845916800
Divisors of 54988142845916800
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 149 151 160 169 173 200 208 260 298 302 320 325 338 346 400 416 520 596 604 640 650 676 692 745 755 800 832 845 865 1040 1192 1208 1300 1352 1384 1490 1510 1600 1664 1690 1730 1937 1963 2080 2249 2384 2416 2600 2704 2768 2980 3020 3200 3380 3460 3725 3775 3874 3926 4160 4225 4325 4498 4768 4832 5200 5408 5536 5960 6040 6760 6920 7450 7550 7748 7852 8320 8450 8650 8996 9536 9664 9685 9815 10400 10816 11072 11245 11920 12080 13520 13840 14900 15100 15496 15704 16900 17300 17992 19072 19328 19370 19630 20800 21632 22144 22490 22499 22801 23840 24160 25181 25519 25777 26123 27040 27680 29237 29800 29929 30200 30992 31408 33800 34600 35984 38740 39260 41600 44980 44998 45602 47680 48320 48425 49075 50362 51038 51554 52246 54080 55360 56225 58474 59600 59858 60400 61984 62816 67600 69200 71968 77480 78520 89960 89996 91204 95360 96640 96850 98150 100724 102076 103108 104492 108160 110720 112450 112495 114005 116948 119200 119716 120800 123968 125632 125905 127595 128885 130615 135200 138400 143936 146185 149645 154960 157040 179920 179992 182408 193700 196300 201448 204152 206216 208984 224900 224990 228010 233896 238400 239432 241600 247936 251264 251810 255190 257770 261230 270400 276800 287872 292370 292487 296413 299290 309920 314080 335101 339599 359840 359984 364816 387400 389077 392600 402896 408304 412432 417968 449800 449980 456020 467792 476800 478864 483200 503620 510380 515540 522460 540800 553600 562475 570025 584740 584974 592826 598580 619840 628160 629525 637975 644425 653075 670202 679198 719680 719968 729632 730925 748225 774800 778154 785200 805792 816608 824864 835936 899600 899960 912040 935584 957728 1007240 1020760 1031080 1044920 1124950 1140050 1169480 1169948 1185652 1197160 1239680 1256320 1259050 1275950 1288850 1306150 1340404 1358396 1439360 1439936 1459264 1461850 1462435 1482065 1496450 1549600 1556308 1570400 1611584 1633216 1649728 1671872 1675505 1697995 1799200 1799920 1824080 1871168 1915456 1945385 2014480 2041520 2062160 2089840 2249900 2280100 2338960 2339896 2371304 2394320 2518100 2551900 2577700 2612300 2680808 2716792 2879872 2918528 2923700 2924870 2964130 2992900 3099200 3112616 3140800 3223168 3266432 3299456 3343744 3351010 3395990 3397349 3598400 3599840 3648160 3742336 3802331 3830912 3853369 3890770 3892327 3944573 4028960 4083040 4124320 4179680 4356313 4414787 4459421 4499800 4519279 4560200 4677920 4679792 4742608 4788640 5036200 5058001 5103800 5155400 5224600 5361616 5433584 5847400 5849740 5928260 5985800 6198400 6225232 6281600 6702020 6791980 6794698 7196800 7199680 7296320 7312175 7410325 7604662 7706738 7781540 7784654 7889146 8057920 8166080 8248640 8359360 8377525 8489975 8712626 8829574 8918842 8999600 9038558 9120400 9355840 9359584 9485216 9577280 9726925 10072400 10116002 10207600 10310800 10449200 10723232 10867168 11694800 11699480 11856520 11971600 12450464 13404040 13583960 13589396 14399360 14592640 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5262426104 5333062696 5386980568 5435758400 5459289032 5653188736 5741519810 5797247300 5875062700 5877413770 6029137192 6083729600 6110065208 6165390400 6227723200 6311316800 6476832128 6563769472 6578032630 6666328370 6733725710 6824111290 6970100800 7063659200 7066485920 7135073600 7230846400 7420476544 7520080256 7536421490 7637581510 7640637901 8092801600 8096040160 8204711840 8753843423 8833107400 8871344677 9186431696 9275595680 9400100320 9403862032 10120050200 10255889800 10524852208 10666125392 10773961136 10871516800 10918578064 11483039620 11594494600 11750125400 11754827540 12058274384 12167459200 12220130416 12330780800 12455446400 12622633600 13156065260 13332656740 13467451420 13648222580 13940201600 14127318400 14132971840 14270147200 14353799525 14461692800 14693534425 15072842980 15275163020 15281275802 16185603200 16192080320 16409423680 16445081575 16665820925 16834314275 17060278225 17507686846 17666214800 17742689354 18372863392 18551191360 18800200640 18807724064 18841053725 19093953775 20240100400 20511779600 21049704416 21332250784 21547922272 21837156128 22966079240 23188989200 23500250800 23509655080 24116548768 24440260832 26312130520 26665313480 26934902840 27296445160 28265943680 28707599050 29387068850 30145685960 30550326040 30562551604 32384160640 32818847360 32890163150 33331641850 33668628550 34120556450 35015373692 35332429600 35485378708 36745726784 37102382720 37600401280 37615448128 37682107450 38187907550 38203189505 40480200800 41023559200 42099408832 42664501568 43095844544 43674312256 43769217115 44356723385 45932158480 46377978400 47000501600 47019310160 48233097536 48880521664 52624261040 53330626960 53869805680 54592890320 57415198100 58774137700 60291371920 61100652080 61125103208 65780326300 66663283700 67337257100 68241112900 70030747384 70664859200 70970757416 73491453568 75230896256 75364214900 76375815100 76406379010 80960401600 82047118400 84198817664 85329003136 86191689088 87348624512 87538434230 88713446770 91864316960 92755956800 94001003200 94038620320 96466195072 97761043328 99328292713 101679258221 105248522080 106661253920 107739611360 109185780640 113799964499 114830396200 115327480801 117548275400 120582743840 122201304160 122250206416 131560652600 133326567400 134674514200 136482225800 140061494768 141329718400 141941514832 150728429800 152751630200 152812758020 161920803200 164094236800 175076868460 177426893540 183728633920 185511913600 188002006400 188077240640 191015947525 198656585426 203358516442 210497044160 213322507840 215479222720 218371561280 218846085575 221783616925 227599928998 229660792400 230654961602 235096550800 241165487680 244402608320 244500412832 263121305200 266653134800 269349028400 272964451600 280122989536 283883029664 301456859600 305503260400 305625516040 350153736920 354853787080 367457267840 376154481280 382031895050 397313170852 406717032884 420994088320 426645015680 430958445440 436743122560 437692171150 443567233850 455199857996 459321584800 461309923204 470193101600 482330975360 488805216640 489000825664 496641463565 508396291105 526242610400 533306269600 538698056800 545928903200 560245979072 567766059328 568999822495 576637404005 602913719200 611006520800 611251032080 700307473840 709707574160 764063790100 794626341704 813434065768 875384342300 887134467700 910399715992 918643169600 922619846408 940386203200 978001651328 993282927130 1016792582210 1052485220800 1066612539200 1077396113600 1091857806400 1120491958144 1135532118656 1137999644990 1153274808010 1205827438400 1222013041600 1222502064160 1321830356873 1400614947680 1419415148320 1528127580200 1589252683408 1626868131536 1750768684600 1774268935400 1820799431984 1837286339200 1845239692816 1880772406400 1986565854260 2033585164420 2104970441600 2133225078400 2154792227200 2183715612800 2275999289980 2306549616020 2411654876800 2444026083200 2445004128320 2483207317825 2541981455525 2643660713746 2801229895360 2838830296640 2844999112475 2883187020025 3056255160400 3178505366816 3253736263072 3501537369200 3548537870800 3641598863968 3690479385632 3973131708520 4067170328840 4551998579960 4613099232040 4890008256640 4966414635650 5083962911050 5287321427492 5602459790720 5677660593280 5689998224950 5766374040050 6112510320800 6357010733632 6507472526144 6609151784365 7003074738400 7097075741600 7283197727936 7380958771264 7946263417040 8134340657680 9103997159920 9226198464080 9932829271300 10167925822100 10574642854984 11379996449900 11532748080100 12225020641600 12714021467264 13014945052288 13218303568730 14006149476800 14194151483200 14566395455872 14761917542528 15892526834080 16268681315360 17183794639349 18207994319840 18452396928160 19865658542600 20335851644200 21149285709968 22759992899800 23065496160200 24450041283200 26436607137460 28012298953600 28388302966400 31785053668160 32537362630720 33045758921825 34367589278698 36415988639680 36904793856320 39731317085200 40671703288400 42298571419936 45519985799600 46130992320400 52873214274920 63570107336320 65074725261440 66091517843650 68735178557396 72831977279360 73809587712640 79462634170400 81343406576800 84597142839872 85918973196745 91039971599200 92261984640800 105746428549840 132183035687300 137470357114792 158925268340800 162686813153600 169194285679744 171837946393490 182079943198400 184523969281600 211492857099680 264366071374600 274940714229584 317850536681600 325373626307200 343675892786980 364159886396800 369047938563200 422985714199360 429594865983725 528732142749200 549881428459168 687351785573960 845971428398720 859189731967450 1057464285498400 1099762856918336 1374703571147920 1718379463934900 2114928570996800 2199525713836672 2749407142295840 3436758927869800 4229857141993600 5498814284591680 6873517855739600 10997628569183360 13747035711479200 27494071422958400 54988142845916800
- Sum of all divisors σ(n): 149931697608267750
- Sum of proper divisors (its aliquot sum) s(n): 94943554762350950
- 54988142845916800 is an abundant number, because the sum of its proper divisors (94943554762350950) is greater than itself. Its abundance is 39955411916434150
Bases of 54988142845916800
- Binary: 110000110101101101101100101100010011000001110110100000002
- Hexadecimal: 0xC35B6CB1307680
- Base-36: F1FO436OLTS
Squares and roots of 54988142845916800
- 54988142845916800 squared (549881428459168002) is 3023695853642950952746432522240000
- 54988142845916800 cubed (549881428459168003) is 166267419522724924975569534030564688709189632000000
-
The
square root of 54988142845916800 is 234495507.0911099567 -
The
cube root of 54988142845916800 is 380267.9155100295
Scales and comparisons
How big is 54988142845916800?- 54,988,142,845,916,800 seconds is equal to 1,748,452,853 years, 2 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 54,988,142,845,916,800 would take you about five billion, two hundred forty-five million, three hundred fifty-eight thousand, five hundred fifty-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 54988142845916800 cubic inches would be around 31689 feet tall.
Recreational maths with 54988142845916800
- 54988142845916800 backwards is 00861954824188945
- The number of decimal digits it has is: 17
- The sum of 54988142845916800's digits is 82
- More coming soon!
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"Number 54988142845916800 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 54988142845916800 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/54988142845916800/
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Numbermatics. 2024. "Number 54988142845916800 - Facts about the integer". https://numbermatics.com/n/54988142845916800/
The information we have on file for 54988142845916800 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!
Keywords: Divisors of 54988142845916800, math, Factors of 54988142845916800, curriculum, school, college, exams, university, Prime factorization of 54988142845916800, STEM, science, technology, engineering, physics, economics, calculator, fifty-four quadrillion, nine hundred eighty-eight trillion, one hundred forty-two billion, eight hundred forty-five million, nine hundred sixteen thousand, eight hundred.