420149723563985688
420,149,723,563,985,688 is an even composite number composed of six prime numbers multiplied together.
420149723563985688 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 420149723563985688:
23 × 32 × 7 × 132 × 1573 × 11292
(2 × 2 × 2 × 3 × 3 × 7 × 13 × 13 × 157 × 157 × 157 × 1129 × 1129)See below for interesting mathematical facts about the number 420149723563985688 from the Numbermatics database.
Names of 420149723563985688
- Cardinal: 420149723563985688 can be written as Four hundred twenty quadrillion, one hundred forty-nine trillion, seven hundred twenty-three billion, five hundred sixty-three million, nine hundred eighty-five thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 4.20149723563985688 × 1017
Factors of 420149723563985688
Divisors of 420149723563985688
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 157 168 169 182 234 252 273 312 314 338 364 468 471 504 507 546 628 676 728 819 936 942 1014 1092 1099 1129 1183 1256 1352 1413 1521 1638 1884 2028 2041 2184 2198 2258 2366 2826 3042 3276 3297 3387 3549 3768 4056 4082 4396 4516 4732 5652 6084 6123 6552 6594 6774 7098 7903 8164 8792 9032 9464 9891 10161 10647 11304 12168 12246 13188 13548 14196 14287 14677 15806 16328 18369 19782 20322 21294 23709 24492 24649 26376 26533 27096 28392 28574 29354 31612 36738 39564 40644 42588 42861 44031 47418 48984 49298 53066 57148 58708 63224 71127 73476 73947 79128 79599 81288 85176 85722 88062 94836 98596 102739 106132 114296 117416 128583 132093 142254 146952 147894 159198 171444 172543 176124 177253 185731 189672 190801 197192 205478 212264 221841 238797 257166 264186 284508 295788 308217 318396 320437 342888 345086 352248 354506 371462 381602 410956 443682 477594 514332 517629 528372 531759 557193 569016 572403 591576 616434 636792 640874 690172 709012 742924 763204 821912 887364 924651 955188 961311 1028664 1035258 1056744 1063518 1114386 1144806 1232868 1240771 1274641 1281748 1335607 1380344 1418024 1485848 1526408 1552887 1595277 1671579 1717209 1774728 1849302 1910376 1922622 2070516 2127036 2228772 2243059 2289612 2304289 2465736 2481542 2549282 2563496 2671214 2883933 3105774 3190554 3343158 3434418 3698604 3722313 3823923 3845244 3869893 4006821 4141032 4165681 4254072 4457544 4486118 4579224 4608578 4963084 5098564 5342428 5767866 6211548 6381108 6686316 6729177 6868836 6912867 7397208 7444626 7647846 7690488 7739786 8013642 8331362 8922487 8972236 9217156 9926168 10197128 10684856 11166939 11471769 11535732 11609679 12020463 12423096 12497043 12762216 13372632 13458354 13737672 13825734 14889252 15295692 15479572 16027284 16130023 16570333 16662724 17844974 17944472 18434312 20187531 20738601 22333878 22943538 23071464 23219358 24040926 24994086 26767461 26916708 27089251 27651468 27828721 29159767 29778504 29955757 30591384 30959144 32054568 32260046 33140666 33325448 34829037 35689948 37491129 40375062 41477202 44667756 45887076 46438716 48081852 48390069 49710999 49988172 50308609 53534922 53833416 54178502 55302936 55657442 58319534 59911514 64520092 66281332 69658074 71379896 74982258 80302383 80750124 81267753 82954404 83486163 87479301 89335512 89867271 91774152 92877432 96163704 96780138 99421998 99976344 100617218 107069844 108357004 111314884 115992331 116639068 119823028 129040184 132562664 139316148 145170207 149132997 149964516 150925827 160604766 161500248 162535506 165908808 166972326 174958602 179734542 193560276 194801047 198843996 200118637 201234436 209690299 214139688 215414329 216714008 222629768 231984662 233278136 239646056 243803259 250458489 262437903 269601813 278632296 290340414 298265994 299929032 301851654 321209532 325071012 333944652 347976993 349917204 352160263 359469084 361773373 387120552 389602094 397687992 400237274 402468872 419380598 430828658 452777481 463969324 487606518 500916978 524875806 539203626 580680828 584403141 596531988 600355911 603703308 629070897 642419064 646242987 650142024 654011917 667889304 695953986 699834408 704320526 718938168 723546746 779204188 800474548 838761196 861657316 905554962 927938648 975213036 1001833956 1043930979 1049751612 1056480789 1078407252 1085320119 1161361656 1168806282 1193063976 1200711822 1207406616 1258141794 1292485974 1308023834 1391907972 1400830459 1408641052 1447093492 1507900303 1558408376 1600949096 1677522392 1723314632 1753209423 1801067733 1811109924 1887212691 1938728961 1950426072 1962035751 2003667912 2087861958 2099503224 2112961578 2156814504 2170640238 2337612564 2401423644 2516283588 2532413611 2584971948 2601542281 2616047668 2783815944 2801660918 2817282104 2894186984 3015800606 3169442367 3255960357 3506418846 3602135466 3622219848 3774425382 3877457922 3924071502 4175723916 4202491377 4225923156 4341280476 4369109197 4523700909 4578083419 4675225128 4703053849 4802847288 5032567176 5064827222 5169943896 5203084562 5232095336 5603321836 5886107253 6031601212 6338884734 6511920714 7012837692 7204270932 7548850764 7597240833 7754915844 7804626843 7848143004 8351447832 8404982754 8451846312 8682560952 8738218394 9047401818 9156166838 9406107698 10129654444 10406169124 11206643672 11772214506 12063202424 12607474131 12677769468 13023841428 13107327591 13571102727 13734250257 14025675384 14109161547 14408541864 15097701528 15194481666 15509831688 15609253686 15696286008 16809965508 17476436788 18094803636 18210795967 18312333676 18812215396 20259308888 20812338248 22791722499 23413880529 23544429012 25214948262 25355538936 26047682856 26214655182 27142205454 27468500514 28218323094 30388963332 30583764379 31218507372 31418626009 32921376943 33619931016 33820049653 34952873576 36189607272 36421591934 36624667352 37624430792 39321982773 41202750771 42327484641 45583444998 46827761058 47088858024 50429896524 52429310364 54284410908 54632387901 54937001028 56436646188 56798419561 60777926664 61167528758 62437014744 62837252018 65842753886 67640099306 72843183868 78643965546 82405501542 84654969282 91166889996 91751293137 93655522116 94255878027 98764130829 100859793048 101460148959 104858620728 108568821816 109264775802 109874002056 112873292376 113596839122 122335057516 125674504036 131685507772 135280198612 145686367736 157287931092 163897163703 164811003084 169309938564 170395258683 182333779992 183502586274 187311044232 188511756054 197528261658 202920297918 218529551604 219930382063 227193678244 236740347571 244670115032 251349008072 263371015544 270560397224 275253879411 282767634081 296292392487 304380446877 314575862184 327794327406 329622006168 338619877128 340790517366 367005172548 377023512108 395056523316 397588936927 405840595836 408442138117 437059103208 439860764126 454387356488 473480695142 511185776049 550507758822 565535268162 592584784974 608760893754 655588654812 659791146189 681581034732 710221042713 734010345096 738379454293 754047024216 790113046632 795177873854 811681191672 816884276234 879721528252 946961390284 1022371552098 1101015517644 1131070536324 1185169569948 1192766810781 1217521787508 1225326414351 1311177309624 1319582292378 1363162069464 1420442085426 1476758908586 1590355747708 1633768552468 1759443056504 1893922780568 1979373438567 2044743104196 2130663128139 2202031035288 2215138362879 2262141072648 2370339139896 2385533621562 2435043575016 2450652828702 2639164584756 2840884170852 2859094966819 2953517817172 3180711495416 3267537104936 3578300432343 3675979243053 3958746877134 4089486208392 4261326256278 4430276725758 4771067243124 4901305657404 4932724283413 5168656180051 5278329169512 5309747795521 5681768341704 5718189933638 5907035634344 6645415088637 7156600864686 7351958486106 7917493754268 8522652512556 8577284900457 8860553451516 9542134486248 9802611314808 9865448566826 10337312360102 10619495591042 11436379867276 13290830177274 14313201729372 14703916972212 14798172850239 15505968540153 15834987508536 15929243386563 17045305025112 17154569800914 17721106903032 19730897133652 20674624720204 21238991182084 22872759734552 25731854701371 26581660354548 28626403458744 29407833944424 29596345700478 31011937080306 31858486773126 34309139601828 34529069983891 37168234568647 39461794267304 41349249440408 42477982364168 44394518550717 46517905620459 47787730159689 51463709402742 53163320709096 59192691400956 62023874160612 63716973546252 64125415684369 68618279203656 69058139967782 74336469137294 88789037101434 93035811240918 95575460319378 102927418805484 103587209951673 111504703705941 118385382801912 124047748321224 127433947092504 128250831368738 138116279935564 148672938274588 177578074202868 186071622481836 191150920638756 192376247053107 205854837610968 207174419903346 223009407411882 256501662737476 276232559871128 297345876549176 310761629855019 334514111117823 355156148405736 372143244963672 382301841277512 384752494106214 414348839806692 446018814823764 448877909790583 513003325474952 577128741159321 621523259710038 669028222235646 769504988212428 828697679613384 833630403896797 892037629647528 897755819581166 1154257482318642 1243046519420076 1338056444471292 1346633729371749 1539009976424856 1667260807793594 1795511639162332 2308514964637284 2486093038840152 2500891211690391 2676112888942584 2693267458743498 3334521615587188 3591023278324664 4039901188115247 4617029929274568 5001782423380782 5386534917486996 5835412827277579 6669043231174376 7502673635071173 8079802376230494 10003564846761564 10773069834973992 11670825654555158 15005347270142346 16159604752460988 17506238481832737 20007129693523128 23341651309110316 30010694540284692 32319209504921976 35012476963665474 46683302618220632 52518715445498211 60021389080569384 70024953927330948 105037430890996422 140049907854661896 210074861781992844 420149723563985688
- Sum of all divisors σ(n): 1418477412155076000
- Sum of proper divisors (its aliquot sum) s(n): 998327688591090312
- 420149723563985688 is an abundant number, because the sum of its proper divisors (998327688591090312) is greater than itself. Its abundance is 578177965027104624
Bases of 420149723563985688
- Binary: 101110101001010101111110010100100011000001010001011000110002
- Hexadecimal: 0x5D4ABF291828B18
- Base-36: 36WYNAEXLP20
Squares and roots of 420149723563985688
- 420149723563985688 squared (4201497235639856882) is 176525790210893590496408704268833344
- 420149723563985688 cubed (4201497235639856883) is 74167261959021072871376036324246571621010222473180672
-
The
square root of 420149723563985688 is 648189573.7853129707 -
The
cube root of 420149723563985688 is 748976.2170911375
Scales and comparisons
How big is 420149723563985688?- 420,149,723,563,985,688 seconds is equal to 13,359,461,600 years, 47 weeks, 2 days, 7 hours, 34 minutes, 48 seconds.
-
To count from 1 to 420,149,723,563,985,688 would take you about forty billion, seventy-eight million, three hundred eighty-four thousand, eight hundred 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 420149723563985688 cubic inches would be around 62414.7 feet tall.
Recreational maths with 420149723563985688
- 420149723563985688 backwards is 886589365327941024
- The number of decimal digits it has is: 18
- The sum of 420149723563985688's digits is 90
- More coming soon!
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The information we have on file for 420149723563985688 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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