542322013381148
542,322,013,381,148 is an even composite number composed of six prime numbers multiplied together.
What does the number 542322013381148 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
542322013381148 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 542322013381148:
22 × 73 × 114 × 13 × 373 × 41
(2 × 2 × 7 × 7 × 7 × 11 × 11 × 11 × 11 × 13 × 37 × 37 × 37 × 41)See below for interesting mathematical facts about the number 542322013381148 from the Numbermatics database.
Names of 542322013381148
- Cardinal: 542322013381148 can be written as Five hundred forty-two trillion, three hundred twenty-two billion, thirteen million, three hundred eighty-one thousand, one hundred forty-eight.
Scientific notation
- Scientific notation: 5.42322013381148 × 1014
Factors of 542322013381148
Divisors of 542322013381148
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 7 11 13 14 22 26 28 37 41 44 49 52 74 77 82 91 98 121 143 148 154 164 182 196 242 259 286 287 308 343 364 407 451 481 484 518 533 539 572 574 637 686 814 847 902 962 1001 1036 1066 1078 1148 1274 1331 1369 1372 1517 1573 1628 1694 1804 1813 1924 2002 2009 2132 2156 2548 2662 2738 2849 3034 3146 3157 3367 3388 3626 3731 3773 4004 4018 4459 4477 4961 5291 5324 5476 5698 5863 5929 6068 6292 6314 6734 7007 7252 7462 7546 8036 8918 8954 9317 9583 9922 10582 10619 11011 11396 11726 11858 12628 12691 13468 14014 14063 14641 14924 15059 15092 16687 17303 17797 17836 17908 18634 19166 19721 19844 19943 21164 21238 22022 22099 23452 23569 23716 25382 26117 28028 28126 29282 30118 31339 33374 34606 34727 35594 37037 37268 38332 39442 39886 41041 41503 42476 44044 44198 47138 49049 49247 50653 50764 52234 54571 56129 56252 58201 58564 60236 62678 64493 65219 66748 67081 69212 69454 71188 74074 74333 77077 78884 79772 82082 83006 88396 94276 98098 98494 101306 102487 104468 105413 109142 112258 116402 116809 121121 124579 125356 128986 130438 134162 138047 138908 139601 148148 148666 154154 154693 164164 164983 165649 166012 182819 183557 190333 195767 196196 196988 202612 204974 210826 216931 218284 219373 224516 232804 233618 242242 243089 249158 257972 259259 260876 268324 276094 279202 287287 297332 308308 309386 329966 331298 344729 354571 365638 367114 380666 381997 391534 392903 407407 409948 421652 433862 438746 451451 456533 467236 469567 484484 486178 498316 518518 520331 539539 541717 552188 557183 558404 574574 600281 617419 618772 640211 658489 659932 662596 689458 709142 709423 717409 729677 731276 734228 737891 761332 763994 783068 785806 814814 817663 847847 867724 872053 877492 902902 913066 939134 966329 972356 1037036 1040662 1079078 1083434 1114366 1149148 1159543 1200562 1234838 1280422 1284899 1316978 1332331 1370369 1378916 1418284 1418846 1434818 1459354 1475782 1518517 1527988 1535611 1571612 1629628 1635326 1695694 1701623 1744106 1805804 1814813 1822139 1826132 1878268 1932658 2011009 2019127 2076773 2081324 2153437 2158156 2166868 2228732 2319086 2386241 2401124 2413103 2469676 2481997 2560844 2569798 2633956 2664662 2673979 2740738 2750321 2837692 2851849 2869636 2918708 2951564 3037034 3071222 3160157 3270652 3391388 3403246 3488212 3629626 3644278 3792019 3865316 3900281 4022018 4038254 4153546 4201967 4306874 4321933 4481477 4609423 4638172 4772482 4826206 4963994 4965961 5021863 5107739 5139596 5165237 5329324 5347958 5481476 5500642 5703698 5723641 5934929 6074068 6104371 6129013 6142444 6320314 6764303 6791609 6806492 7042321 7243379 7259252 7288556 7584038 7800562 7803653 8026447 8044036 8076508 8116801 8307092 8403934 8613748 8643866 8962954 8994293 9218846 9326317 9544964 9592583 9652412 9927988 9931922 10043726 10215478 10330474 10629619 10695916 11001284 11407396 11447282 11869858 12208742 12258026 12640628 12754973 13528606 13583218 14084642 14133889 14486758 14537411 15074059 15168076 15601124 15607306 16052894 16233602 16703687 16807868 16891721 17287732 17373979 17925908 17988586 18437692 18652634 18717853 19185166 19252247 19863844 19962943 20043529 20087452 20430956 20660948 21259238 22121099 22210397 22844503 22894564 23687807 23739716 24417484 24516052 25509946 26248651 26544133 26998049 27057212 27166436 27301967 28169284 28267778 28973516 29074822 29413769 30148118 30253531 31214612 31370339 32105788 32265961 32467204 33407374 33783442 34747958 34761727 35754173 35977172 37305268 37435706 38370332 38504494 39925886 40087058 42518476 42903091 44242198 44420794 45689006 47375614 47541263 49296247 50703653 51019892 52497302 53088266 53996098 54603934 54625571 56185129 56535556 56817607 58149644 58827538 60296236 60507062 62740678 62960051 64531922 65284219 66814748 67148081 67419143 67566884 69495916 69523454 71508346 74407333 74707699 74871412 77008988 79677169 79851772 80174116 85806182 88290917 88484396 88841588 89284811 91378012 94751228 95082526 98592494 98937223 101407306 101761877 104994604 105518413 106176532 107992196 109207868 109251142 112370258 113635214 116925809 117655076 121014124 125481356 125920102 129063844 130568438 134296162 134838286 139046908 140304703 143016692 148814666 149415398 155472779 159354338 159911521 165814649 171612364 176581834 178569622 183740557 185808931 188986343 190165052 191113769 197184988 197874446 202814612 203523754 205896383 211036826 211774717 218502284 219592373 224740516 225861727 227270428 233851618 243332089 250279211 251289533 251840204 260565877 261136876 268592324 269676572 280609406 288735161 296978539 297629332 298830796 300321637 310945558 318708676 319823042 331629298 332788841 345073729 353163668 354925571 357139244 367481114 371617862 377972686 382227538 382378997 393295903 395748892 407047508 411792766 422073652 423549434 439184746 451723454 467703236 471934001 486664178 500558422 502579066 521131754 522953893 557740183 561218812 577470322 593957078 600643274 618036419 621891116 624993677 639646084 663258596 665577682 690147458 692560561 709851142 712333139 734962228 738628891 741610573 743235724 755945372 764455076 764757994 786591806 818480663 821784689 823585532 847098868 876448859 878369492 903446908 943868002 971200087 973328356 982132921 1001116844 1005158132 1042263508 1045907786 1088309453 1115480366 1119380647 1154940644 1160702543 1187914156 1201286548 1236072838 1249987354 1286183899 1322904401 1331155364 1380294916 1385121122 1419702284 1424666278 1477257782 1483221146 1529515988 1573183612 1636961326 1643569378 1752897718 1759026731 1823961139 1887736004 1942400174 1964265842 2021146127 2078849773 2091815572 2102251459 2176618906 2230960732 2238761294 2321405086 2329521887 2415516103 2472145676 2484478997 2499974708 2572367798 2645808802 2676652979 2753071321 2764184863 2770242244 2849332556 2954515564 2966442292 3266763929 3273922652 3287138756 3303538007 3505795436 3518053462 3647922278 3660677251 3884800348 3904181281 3928531684 4042292254 4157699546 4204502918 4326254933 4353237812 4477522588 4642810172 4659043774 4831032206 4968957994 5144735596 5191274011 5291617604 5353305958 5506142642 5528369726 5752492823 6135142013 6533527858 6607076014 6798400609 6874930447 7036106924 7295844556 7321354502 7618166171 7808362562 7835664529 8084584508 8124917801 8315399092 8409005836 8652509866 9003287293 9260330807 9318087548 9640937449 9662064412 9937915988 10382548022 10683200957 10706611916 11012285284 11056739452 11504985646 12270284026 12313187117 12767727973 13067055716 13214152028 13596801218 13749860894 14148022889 14551948411 14642709004 15236332342 15616725124 15671329058 16249835602 17305019732 18006574586 18520661614 19281874898 19349294041 20765096044 21366401914 22867347503 23009971292 23124766049 24540568052 24626374234 25535455946 25624740757 27193602436 27329268967 27499721788 28296045778 29103896822 30283784531 30406033493 30472664684 31342658116 32499671204 35934403219 36013149172 36338918077 37041323228 38563749796 38698588082 40267449761 42732803828 42945994091 45734695006 46249532098 47588804263 49252748468 51070911892 51249481514 54658537934 56592091556 58207793644 60567569062 60812066986 67486562143 71868806438 72677836154 74782406699 77397176164 80534899522 85891988182 86192309819 89374095811 91469390012 92499064196 95177608526 99036160223 101863638877 102498963028 109317075868 121135138124 121624133972 134973124286 135445058287 143737612876 145355672308 149564813398 160071432521 161069799044 171783976364 172384619638 178748191622 190355217052 198072320446 203727277754 212842234451 251540822533 254372426539 269946248572 270890116574 281872148327 299129626796 300621958637 320142865042 333121629841 344769239276 357496383244 395278435409 396144640892 407454555508 425684468902 472405935001 503081645066 508744853078 523476846893 541780233148 563744296654 601243917274 640285730084 666243259682 790556870818 851368937804 944811870002 948115408009 1006163290132 1017489706156 1046953693786 1120500027647 1127488593308 1202487834548 1332486519364 1489895641157 1581113741636 1760785757731 1889623740004 1896230816018 2093907387572 2241000055294 2766949047863 2979791282314 3306841545007 3521571515462 3664337928251 3792461632036 4482000110588 5533898095726 5959582564628 6613683090014 7043143030924 7328675856502 10429269488099 11067796191452 12325500304117 13227366180028 14657351713004 19368643335041 20858538976198 24651000608234 38737286670082 41717077952396 49302001216468 77474573340164 135580503345287 271161006690574 542322013381148
- Sum of all divisors σ(n): 1380385060320000
- Sum of proper divisors (its aliquot sum) s(n): 838063046938852
- 542322013381148 is an abundant number, because the sum of its proper divisors (838063046938852) is greater than itself. Its abundance is 295741033557704
Bases of 542322013381148
- Binary: 11110110100111101001011101111011000100010000111002
- Hexadecimal: 0x1ED3D2EF6221C
- Base-36: 5C8JAKFEAK
Squares and roots of 542322013381148
- 542322013381148 squared (5423220133811482) is 294113166197782070367121797904
- 542322013381148 cubed (5423220133811483) is 159504044454285373606757383011764199779513792
-
The
square root of 542322013381148 is 23287808.2562775323 -
The
cube root of 542322013381148 is 81549.0822259795
Scales and comparisons
How big is 542322013381148?- 542,322,013,381,148 seconds is equal to 17,244,162 years, 26 weeks, 4 days, 20 hours, 59 minutes, 8 seconds.
-
To count from 1 to 542,322,013,381,148 would take you about forty-three million, one hundred ten thousand, four hundred six 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 542322013381148 cubic inches would be around 6795.8 feet tall.
Recreational maths with 542322013381148
- 542322013381148 backwards is 841183310223245
- The number of decimal digits it has is: 15
- The sum of 542322013381148's digits is 47
- More coming soon!
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The information we have on file for 542322013381148 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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