54238498031827200
54,238,498,031,827,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 54238498031827200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
54238498031827200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 54238498031827200:
28 × 3 × 52 × 7 × 13 × 19 × 1633847179
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 19 × 1633847179)See below for interesting mathematical facts about the number 54238498031827200 from the Numbermatics database.
Names of 54238498031827200
- Cardinal: 54238498031827200 can be written as Fifty-four quadrillion, two hundred thirty-eight trillion, four hundred ninety-eight billion, thirty-one million, eight hundred twenty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 5.42384980318272 × 1016
Factors of 54238498031827200
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 1633847228
Divisors of 54238498031827200
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 19 20 21 24 25 26 28 30 32 35 38 39 40 42 48 50 52 56 57 60 64 65 70 75 76 78 80 84 91 95 96 100 104 105 112 114 120 128 130 133 140 150 152 156 160 168 175 182 190 192 195 200 208 210 224 228 240 247 256 260 266 273 280 285 300 304 312 320 325 336 350 364 380 384 390 399 400 416 420 448 455 456 475 480 494 520 525 532 546 560 570 600 608 624 640 650 665 672 700 728 741 760 768 780 798 800 832 840 896 910 912 950 960 975 988 1040 1050 1064 1092 1120 1140 1200 1216 1235 1248 1280 1300 1330 1344 1365 1400 1425 1456 1482 1520 1560 1596 1600 1664 1680 1729 1792 1820 1824 1900 1920 1950 1976 1995 2080 2100 2128 2184 2240 2275 2280 2400 2432 2470 2496 2600 2660 2688 2730 2800 2850 2912 2964 3040 3120 3192 3200 3325 3328 3360 3458 3640 3648 3705 3800 3840 3900 3952 3990 4160 4200 4256 4368 4480 4550 4560 4800 4864 4940 4992 5187 5200 5320 5376 5460 5600 5700 5824 5928 6080 6175 6240 6384 6400 6650 6720 6825 6916 7280 7296 7410 7600 7800 7904 7980 8320 8400 8512 8645 8736 8960 9100 9120 9600 9880 9975 9984 10374 10400 10640 10920 11200 11400 11648 11856 12160 12350 12480 12768 13300 13440 13650 13832 14560 14592 14820 15200 15600 15808 15960 16640 16800 17024 17290 17472 18200 18240 18525 19200 19760 19950 20748 20800 21280 21840 22400 22800 23296 23712 24320 24700 24960 25536 25935 26600 26880 27300 27664 29120 29640 30400 31200 31616 31920 33600 34048 34580 34944 36400 36480 37050 39520 39900 41496 41600 42560 43225 43680 44800 45600 47424 49400 49920 51072 51870 53200 54600 55328 58240 59280 60800 62400 63232 63840 67200 69160 69888 72800 72960 74100 79040 79800 82992 83200 85120 86450 87360 91200 94848 98800 102144 103740 106400 109200 110656 116480 118560 121600 124800 127680 129675 134400 138320 145600 148200 158080 159600 165984 170240 172900 174720 182400 189696 197600 207480 212800 218400 221312 237120 249600 255360 259350 276640 291200 296400 316160 319200 331968 345800 349440 364800 395200 414960 425600 436800 442624 474240 510720 518700 553280 582400 592800 638400 663936 691600 790400 829920 851200 873600 948480 1037400 1106560 1185600 1276800 1327872 1383200 1580800 1659840 1747200 2074800 2213120 2371200 2553600 2766400 3319680 4149600 4742400 5532800 6639360 8299200 11065600 16598400 33196800 1633847179 3267694358 4901541537 6535388716 8169235895 9803083074 11436930253 13070777432 16338471790 19606166148 21240013327 22873860506 24507707685 26141554864 31043096401 32676943580 34310790759 39212332296 40846179475 42480026654 45747721012 49015415370 52283109728 57184651265 62086192802 63720039981 65353887160 68621581518 78424664592 81692358950 84960053308 91495442024 93129289203 98030830740 104566219456 106200066635 114369302530 122538538425 124172385604 127440079962 130707774320 137243163036 148680093289 155215482005 156849329184 163384717900 169920106616 171553953795 182990884048 186258578406 196061661480 209132438912 212400133270 217301674807 228738605060 245077076850 248344771208 254880159924 261415548640 274486326072 285923256325 297360186578 310430964010 313698658368 318600199905 326769435800 339840213232 343107907590 365981768096 372517156812 392123322960 403560253213 418264877824 424800266540 434603349614 446040279867 457477210120 465646446015 490154153700 496689542416 509760319848 522831097280 531000333175 548972652144 571846512650 594720373156 620861928020 627397316736 637200399810 651905024421 653538871600 679680426464 686215815180 731963536192 743400466445 745034313624 776077410025 784246645920 807120506426 849600533080 857769768975 869206699228 892080559734 914954420240 931292892030 980308307400 993379084832 1019520639696 1045662194560 1062000666350 1086508374035 1097945304288 1143693025300 1189440746312 1210680759639 1241723856040 1254794633472 1274400799620 1303810048842 1307077743200 1359360852928 1372431630360 1463927072384 1486800932890 1490068627248 1552154820050 1568493291840 1593000999525 1614241012852 1699201066160 1715539537950 1738413398456 1784161119468 1829908840480 1862585784060 1960616614800 1986758169664 2017801266065 2039041279392 2091324389120 2124001332700 2173016748070 2195890608576 2230201399335 2287386050600 2328232230075 2378881492624 2421361519278 2483447712080 2548801599240 2607620097684 2614155486400 2718721705856 2744863260720 2824921772491 2927854144768 2973601865780 2980137254496 3104309640100 3136986583680 3186001999050 3228482025704 3259525122105 3398402132320 3431079075900 3476826796912 3568322238936 3659817680960 3717002332225 3725171568120 3921233229600 3973516339328 4035602532130 4078082558784 4248002665400 4346033496140 4391781217152 4460402798670 4574772101200 4656464460150 4757762985248 4842723038556 4966895424160 5097603198480 5215240195368 5228310972800 5432541870175 5437443411712 5489726521440 5649843544982 5947203731560 5960274508992 6053403798195 6208619280200 6273973167360 6372003998100 6456964051408 6519050244210 6796804264640 6862158151800 6953653593824 7136644477872 7319635361920 7434004664450 7450343136240 7842466459200 7947032678656 8071205064260 8156165117568 8474765317473 8496005330800 8692066992280 8783562434304 8920805597340 9149544202400 9312928920300 9515525970496 9685446077112 9933790848320 10089006330325 10195206396960 10430480390736 10456621945600 10865083740350 10979453042880 11151006996675 11299687089964 11894407463120 11920549017984 12106807596390 12417238560400 12744007996200 12913928102816 13038100488420 13593608529280 13724316303600 13907307187648 14124608862455 14273288955744 14639270723840 14868009328900 14900686272480 15684932918400 16142410128520 16297625610525 16312330235136 16949530634946 16992010661600 17384133984560 17841611194680 18299088404800 18625857840600 19031051940992 19370892154224 19867581696640 20178012660650 20390412793920 20860960781472 21730167480700 21958906085760 22302013993350 22599374179928 23788814926240 23841098035968 24213615192780 24834477120800 25488015992400 25827856205632 26076200976840 27187217058560 27448632607200 27814614375296 28249217724910 28546577911488 29736018657800 29801372544960 30267018990975 31369865836800 32284820257040 32595251221050 33899061269892 33984021323200 34768267969120 35683222389360 36598176809600 37251715681200 38062103881984 38741784308448 39735163393280 40356025321300 40780825587840 41721921562944 42373826587365 43460334961400 43917812171520 44604027986700 45198748359856 47577629852480 48427230385560 49668954241600 50976031984800 51655712411264 52152401953680 54897265214400 55629228750592 56498435449820 57093155822976 59472037315600 59602745089920 60534037981950 64569640514080 65190502442100 67798122539784 67968042646400 69536535938240 70623044312275 71366444778720 73196353619200 74503431362400 77483568616896 80712050642600 81561651175680 83443843125888 84747653174730 86920669922800 89208055973400 90397496719712 95155259704960 96854460771120 99337908483200 101952063969600 103311424822528 104304803907360 109794530428800 112996870899640 114186311645952 118944074631200 119205490179840 121068075963900 129139281028160 130381004884200 135596245079568 135936085292800 139073071876480 141246088624550 142732889557440 149006862724800 154967137233792 161424101285200 166887686251776 169495306349460 173841339845600 178416111946800 180794993439424 190310519409920 193708921542240 198675816966400 203904127939200 208609607814720 211869132936825 219589060857600 225993741799280 237888149262400 242136151927800 258278562056320 260762009768400 271192490159136 278146143752960 282492177249100 285465779114880 298013725449600 309934274467584 322848202570400 338990612698920 347682679691200 356832223893600 361589986878848 387417843084480 407808255878400 417219215629440 423738265873650 451987483598560 475776298524800 484272303855600 516557124112640 521524019536800 542384980318272 564984354498200 570931558229760 596027450899200 645696405140800 677981225397840 695365359382400 713664447787200 723179973757696 774835686168960 834438431258880 847476531747300 903974967197120 951552597049600 968544607711200 1043048039073600 1084769960636544 1129968708996400 1291392810281600 1355962450795680 1390730718764800 1427328895574400 1549671372337920 1694953063494600 1807949934394240 1937089215422400 2086096078147200 2169539921273088 2259937417992800 2582785620563200 2711924901591360 2854657791148800 3389906126989200 3615899868788480 3874178430844800 4172192156294400 4519874835985600 5423849803182720 6779812253978400 7748356861689600 9039749671971200 10847699606365440 13559624507956800 18079499343942400 27119249015913600 54238498031827200
- Sum of all divisors σ(n): 231900687678284800
- Sum of proper divisors (its aliquot sum) s(n): 177662189646457600
- 54238498031827200 is an abundant number, because the sum of its proper divisors (177662189646457600) is greater than itself. Its abundance is 123423691614630400
Bases of 54238498031827200
- Binary: 110000001011000110100000011010000101011001111001000000002
- Hexadecimal: 0xC0B1A068567900
- Base-36: EU1XY0JMOLC
Squares and roots of 54238498031827200
- 54238498031827200 squared (542384980318272002) is 2941814668748523048104170659840000
- 54238498031827200 cubed (542384980318272003) is 159559609120917153672744956882011580744859648000000
-
The
square root of 54238498031827200 is 232891601.4626272435 -
The
cube root of 54238498031827200 is 378531.9582841309
Scales and comparisons
How big is 54238498031827200?- 54,238,498,031,827,200 seconds is equal to 1,724,616,466 years, 37 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 54,238,498,031,827,200 would take you about five billion, one hundred seventy-three million, eight hundred forty-nine thousand, four hundred 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 54238498031827200 cubic inches would be around 31544.3 feet tall.
Recreational maths with 54238498031827200
- 54238498031827200 backwards is 00272813089483245
- The number of decimal digits it has is: 17
- The sum of 54238498031827200's digits is 66
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 54238498031827200 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 54238498031827200 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/54238498031827200/
Chicago style:
Numbermatics. 2024. "Number 54238498031827200 - Facts about the integer". https://numbermatics.com/n/54238498031827200/
The information we have on file for 54238498031827200 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 54238498031827200, math, Factors of 54238498031827200, curriculum, school, college, exams, university, Prime factorization of 54238498031827200, STEM, science, technology, engineering, physics, economics, calculator, fifty-four quadrillion, two hundred thirty-eight trillion, four hundred ninety-eight billion, thirty-one million, eight hundred twenty-seven thousand, two hundred.