42381940636072128
42,381,940,636,072,128 is an even composite number composed of six prime numbers multiplied together.
42381940636072128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 42381940636072128:
26 × 3 × 72 × 134 × 192 × 6612
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 13 × 13 × 13 × 19 × 19 × 661 × 661)See below for interesting mathematical facts about the number 42381940636072128 from the Numbermatics database.
Names of 42381940636072128
- Cardinal: 42381940636072128 can be written as Forty-two quadrillion, three hundred eighty-one trillion, nine hundred forty billion, six hundred thirty-six million, seventy-two thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 4.2381940636072128 × 1016
Factors of 42381940636072128
Divisors of 42381940636072128
- Number of divisors d(n): 1890
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 32 38 39 42 48 49 52 56 57 64 76 78 84 91 96 98 104 112 114 133 147 152 156 168 169 182 192 196 208 224 228 247 266 273 294 304 312 336 338 361 364 392 399 416 448 456 494 507 532 546 588 608 624 637 661 672 676 722 728 741 784 798 832 912 931 988 1014 1064 1083 1092 1176 1183 1216 1248 1274 1322 1344 1352 1444 1456 1482 1568 1596 1729 1824 1862 1911 1976 1983 2028 2128 2166 2184 2197 2352 2366 2496 2527 2548 2644 2704 2793 2888 2912 2964 3136 3192 3211 3458 3549 3648 3724 3822 3952 3966 4056 4256 4332 4368 4394 4627 4693 4704 4732 5054 5096 5187 5288 5408 5586 5776 5824 5928 6384 6422 6591 6916 7098 7448 7581 7644 7904 7932 8112 8281 8512 8593 8664 8736 8788 9254 9386 9408 9464 9633 10108 10192 10374 10576 10816 11172 11552 11856 12103 12559 12768 12844 13182 13832 13881 14079 14196 14896 15162 15288 15379 15808 15864 16224 16562 17186 17328 17472 17576 17689 18508 18772 18928 19266 20216 20384 20748 21152 22344 22477 23104 23712 24206 24843 25118 25536 25688 25779 26364 27664 27762 28158 28392 28561 29792 30324 30576 30758 31728 32389 32448 32851 33124 34372 34656 35152 35378 36309 37016 37544 37677 37856 38532 40432 40768 41496 41743 42304 44688 44954 46137 47424 48412 49686 50236 51376 51558 52728 53067 55328 55524 56316 56784 57122 59584 60151 60648 61009 61152 61516 63456 64778 65702 66248 67431 68744 69312 70304 70756 72618 74032 75088 75354 75712 77064 80864 82992 83486 85683 87913 89376 89908 92274 96824 97167 98553 99372 100472 102752 103116 105456 106134 107653 110656 111048 111709 112632 113568 114244 120302 121296 122018 122304 123032 125229 126912 129556 131404 132496 134862 137488 140608 141512 145236 148064 150176 150708 154128 157339 161728 163267 165984 166972 171366 175826 178752 179816 180453 183027 184548 193648 194334 197106 198744 199927 200944 205504 206232 210912 212268 215306 222096 223418 225264 227136 228488 229957 238621 240604 242592 244036 246064 250458 259112 262808 263739 264992 269724 274976 283024 290472 292201 296128 300352 301416 308256 314678 322959 326534 331968 333944 335127 342732 351652 359632 360906 366054 369096 387296 388668 394212 397488 399854 401888 412464 421057 421824 424536 427063 430612 436921 444192 446836 450528 456976 459914 472017 477242 481208 485184 488072 489801 492128 500916 518224 525616 527478 529984 539448 542659 549952 566048 580944 584402 599781 602832 615391 616512 629356 645918 653068 667888 670254 685464 689871 703304 715863 719264 721812 732108 738192 774592 777336 781963 788424 793117 794976 799708 803776 824928 842114 849072 854126 861224 873842 876603 888384 893672 901056 913952 919828 944034 954484 962416 976144 979602 984256 1001832 1036448 1051232 1054956 1078896 1085318 1132096 1142869 1161888 1168804 1199562 1205664 1230782 1258712 1263171 1281189 1291836 1306136 1310763 1335776 1340508 1370928 1379742 1399489 1406608 1431726 1438528 1443624 1452217 1464216 1476384 1554672 1563926 1576848 1586234 1589952 1599416 1627977 1649856 1670347 1684228 1698144 1708252 1722448 1747684 1753206 1787344 1827904 1839656 1846173 1888068 1908968 1924832 1952288 1959204 2003664 2045407 2072896 2102464 2109912 2122471 2157792 2170636 2285738 2323776 2337608 2345889 2379351 2399124 2411328 2461564 2517424 2526342 2562378 2583672 2612272 2621526 2671552 2681016 2741856 2759484 2798978 2813216 2863452 2887248 2904434 2928432 2952768 2989441 3058447 3102073 3109344 3127852 3153696 3172468 3198832 3255954 3340694 3368456 3396288 3416504 3428607 3444896 3495368 3506412 3574688 3679312 3692346 3776136 3798613 3817936 3849664 3904576 3918408 4007328 4090814 4198467 4219824 4244942 4315584 4341272 4356651 4571476 4675216 4691778 4758702 4798248 4923128 5011041 5034848 5052684 5124756 5167344 5224544 5243052 5362032 5473741 5483712 5518968 5551819 5597956 5626432 5679973 5726904 5774496 5808868 5856864 5978882 6116894 6136221 6204146 6218688 6255704 6307392 6344936 6367413 6397664 6511908 6681388 6736912 6833008 6857214 6889792 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106624453156 107510528944 109044070096 109430359818 114826334168 115780569632 117432075488 117848079804 120522393264 123659129104 126465312064 126913316712 127668753121 129793346592 131230096192 134683519776 137489426438 140609458808 141107569239 143120342001 145043790528 145907146424 149746808172 154129599078 157130773072 159936679734 160696524352 161265793416 163566105144 169217755616 172239501252 173670854448 174704609534 176148113232 177611947968 184303763904 185488693656 186592793023 188143425652 189697968096 190827122668 196845144288 199662410896 200946084794 205506132104 206234139657 210914188212 211987078464 213248906312 215021057888 218088140192 218860719636 229652668336 231561139264 234864150976 235696159608 237099112939 241044786528 247318258208 253826633424 255337506242 259586693184 262056914301 269367039552 274978852876 281218917616 282215138478 286240684002 291814292848 299493616344 301419127191 308259198156 314261546144 319873359468 322531586832 327132210288 333947464669 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1144962736008 1167257171392 1197974465376 1205676508764 1222932266738 1233036792624 1279493437872 1290126347328 1306149551161 1308528841152 1335789858676 1377916010016 1386117891028 1397636876272 1422594677634 1483909549248 1492742344184 1505147405216 1526616981344 1532025037452 1607568678352 1644049056832 1649873117256 1659693790573 1687313505696 1705991250496 1750885757088 1787362543694 1834398400107 1885569276864 1896792903512 2003684788014 2042700049936 2079176836542 2096455314408 2199830823008 2239113516276 2257721107824 2289925472016 2395948930752 2411353017528 2425706309299 2445864533476 2466073585248 2558986875744 2612299102322 2671579717352 2681043815541 2755832020032 2772235782056 2795273752544 2845189355268 2985484688368 3010294810432 3053233962688 3064050074904 3215137356704 3299746234512 3319387581146 3374627011392 3501771514176 3574725087388 3668796800214 3793585807024 3918448653483 4007369576028 4085400099872 4158353673084 4192910628816 4399661646016 4478227032552 4504883145841 4515442215648 4579850944032 4822706035056 4851412618598 4891729066952 4932147170496 4979081371719 5117973751488 5224598204644 5343159434704 5362087631082 5544471564112 5590547505088 5690378710536 5970969376736 6128100149808 6430274713408 6599492469024 6638775162292 7149450174776 7277118927897 7337593600428 7587171614048 7836897306966 8014739152056 8170800199744 8316707346168 8385821257632 8956454065104 9009766291682 9030884431296 9159701888064 9645412070112 9702825237196 9783458133904 9958162743438 10449196409288 10686318869408 10724175262164 11088943128224 11380757421072 11617856534011 11941938753472 12256200299616 13198984938048 13277550324584 13514649437523 14298900349552 14554237855794 14675187200856 15174343228096 15673794613932 16029478304112 16633414692336 16771642515264 16979944165093 17912908130208 18019532583364 19290824140224 19405650474392 19566916267808 19916325486876 20898392818576 21372637738816 21448350524328 22177886256448 22761514842144 23235713068022 24512400599232 26555100649168 27029298875046 28597800699104 29108475711588 29350374401712 31347589227864 31534182020887 32058956608224 33266829384672 33959888330186 34853569602033 35825816260416 36039065166728 38811300948784 39133832535616 39832650973752 41796785637152 42896701048656 45523029684288 46471426136044 50939832495279 53110201298336 54058597750092 57195601398208 58216951423176 58700748803424 62695178455728 63068364041774 64117913216448 66533658769344 67919776660372 69707139204066 72078130333456 77622601897568 79665301947504 83593571274304 85793402097312 92942852272088 94602546062661 101879664990558 106220402596672 108117195500184 116433902846352 117401497606848 125390356911456 126136728083548 135839553320744 139414278408132 144156260666912 155245203795136 159330603895008 171586804194624 185885704544176 189205092125322 203759329981116 216234391000368 220739274146209 232867805692704 250780713822912 252273456167096 271679106641488 278828556816264 288312521333824 318661207790016 371771409088352 378410184250644 407518659962232 432468782000736 441478548292418 465735611385408 504546912334192 543358213282976 557657113632528 662217822438627 743542818176704 756820368501288 815037319924464 864937564001472 882957096584836 1009093824668384 1086716426565952 1115314227265056 1324435644877254 1513640737002576 1630074639848928 1765914193169672 2018187649336768 2230628454530112 2648871289754508 3027281474005152 3260149279697856 3531828386339344 5297742579509016 6054562948010304 7063656772678688 10595485159018032 14127313545357376 21190970318036064 42381940636072128
- Sum of all divisors σ(n): 149368263076618308
- Sum of proper divisors (its aliquot sum) s(n): 106986322440546180
- 42381940636072128 is an abundant number, because the sum of its proper divisors (106986322440546180) is greater than itself. Its abundance is 64604381804474052
Bases of 42381940636072128
- Binary: 100101101001001000100110100001001000000100111000110000002
- Hexadecimal: 0x969226848138C0
- Base-36: BLB56QPFR9C
Squares and roots of 42381940636072128
- 42381940636072128 squared (423819406360721282) is 1796228892079541933724392018448384
- 42381940636072128 cubed (423819406360721283) is 76127666272912755222707742111667300465638869041152
-
The
square root of 42381940636072128 is 205868746.1371252633 -
The
cube root of 42381940636072128 is 348653.1657648959
Scales and comparisons
How big is 42381940636072128?- 42,381,940,636,072,128 seconds is equal to 1,347,614,616 years, 14 weeks, 2 days, 21 hours, 48 minutes, 48 seconds.
-
To count from 1 to 42,381,940,636,072,128 would take you about four billion, forty-two million, eight hundred forty-three thousand, eight hundred forty-eight 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 42381940636072128 cubic inches would be around 29054.4 feet tall.
Recreational maths with 42381940636072128
- 42381940636072128 backwards is 82127063604918324
- The number of decimal digits it has is: 17
- The sum of 42381940636072128's digits is 66
- More coming soon!
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The information we have on file for 42381940636072128 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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