42338742053328
42,338,742,053,328 is an even composite number composed of eight prime numbers multiplied together.
42338742053328 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 42338742053328:
24 × 32 × 72 × 19 × 31 × 67 × 383 × 397
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 19 × 31 × 67 × 383 × 397)See below for interesting mathematical facts about the number 42338742053328 from the Numbermatics database.
Names of 42338742053328
- Cardinal: 42338742053328 can be written as Forty-two trillion, three hundred thirty-eight billion, seven hundred forty-two million, fifty-three thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 4.2338742053328 × 1013
Factors of 42338742053328
Divisors of 42338742053328
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 31 36 38 42 48 49 56 57 62 63 67 72 76 84 93 98 112 114 124 126 133 134 144 147 152 168 171 186 196 201 217 228 248 252 266 268 279 294 304 336 342 372 383 392 397 399 402 434 441 456 469 496 504 532 536 558 588 589 603 651 684 744 766 784 794 798 804 868 882 912 931 938 1008 1064 1072 1116 1149 1176 1178 1191 1197 1206 1273 1302 1368 1407 1488 1519 1532 1588 1596 1608 1736 1764 1767 1862 1876 1953 2077 2128 2232 2298 2352 2356 2382 2394 2412 2546 2604 2681 2736 2779 2793 2814 3038 3064 3176 3192 3216 3283 3447 3472 3528 3534 3573 3724 3752 3819 3906 4123 4154 4221 4464 4557 4596 4712 4764 4788 4824 5092 5208 5301 5362 5558 5586 5628 6076 6128 6231 6352 6384 6566 6894 7056 7068 7146 7277 7448 7504 7543 7638 7812 8043 8246 8308 8337 8379 8442 8911 9114 9192 9424 9528 9576 9648 9849 10184 10416 10602 10724 11116 11172 11256 11457 11873 12152 12307 12369 12462 13132 13671 13788 14136 14292 14539 14554 14896 15086 15276 15624 16086 16492 16616 16674 16758 16884 17822 18228 18384 18693 18767 19056 19152 19453 19698 20368 21204 21448 21831 22232 22344 22512 22629 22914 23746 24129 24304 24614 24738 24924 25011 25661 26264 26599 26733 27342 27576 28272 28584 28861 29078 29108 29547 30172 30552 31248 32172 32984 33232 33348 33516 33768 35619 35644 36456 36921 37107 37386 37534 38906 39396 39463 42408 42896 43617 43662 44464 44688 45258 45828 47492 48258 49228 49476 49848 50022 50939 51322 52528 52801 53198 53466 54684 55152 56301 57168 57722 58156 58216 58359 59094 60344 61104 62377 64344 65493 65968 66696 67032 67536 67887 71238 71288 72912 73842 74214 74772 75068 76983 77812 78792 78926 79797 80199 83111 84816 86149 86583 87234 87324 90516 91656 94984 96516 98456 98952 99696 100044 101773 101878 102644 105602 106396 106857 106932 109368 110763 112602 115444 116312 116432 116718 118188 118389 120688 124754 128688 130851 130986 133392 134064 135774 142476 142576 147684 148428 149544 150136 152051 152817 153966 155624 157584 157852 158403 159594 160398 166222 168903 172298 173166 174468 174648 175077 179627 181032 183312 186193 187131 189968 193032 196912 197904 200088 203546 203756 205288 211204 212792 213714 213864 218736 221526 225204 225587 230888 230949 232624 233436 233833 236376 236778 239391 249333 249508 258447 259749 261702 261972 271548 276241 284952 295368 296856 299088 300272 304102 305319 305634 307932 311248 315704 316806 319188 320796 332444 337806 344596 346332 348936 349296 350154 355167 356573 359254 362064 369607 372386 374262 386064 400176 407092 407512 410576 422408 425584 427428 427728 443052 450408 451174 456153 458451 461776 461898 466872 467666 472752 473556 475209 478782 487559 498666 499016 505381 516894 519498 523404 523944 538881 543096 552482 558579 561393 569904 581777 590736 593712 603043 608204 610638 611268 615864 631408 633612 638376 641592 664888 675612 676761 689192 692664 697872 700308 701499 710334 713146 718508 739214 744772 747999 748524 775341 795491 814184 815024 824569 828723 844816 854856 886104 900816 902348 912306 915957 916902 923796 933744 935332 947112 950418 957564 975118 997332 998032 1010762 1033788 1038996 1046808 1047888 1064357 1069719 1077762 1086192 1104964 1108821 1117158 1122786 1163554 1206086 1216408 1221276 1222536 1231728 1257389 1267224 1276752 1283184 1303351 1329776 1351224 1353522 1368459 1378384 1385328 1400616 1402998 1420668 1426292 1437016 1462677 1478428 1489544 1495998 1497048 1516143 1550682 1579109 1590982 1616643 1628368 1636831 1649138 1657446 1675737 1709712 1745331 1772208 1804696 1809129 1824612 1831914 1833804 1847592 1870664 1894224 1900836 1915128 1933687 1950236 1994664 2021524 2030283 2067576 2077992 2093616 2104497 2128714 2139438 2155524 2209928 2217642 2234316 2245572 2327108 2386473 2412172 2432816 2442552 2445072 2473707 2486169 2514778 2534448 2606702 2702448 2707044 2736918 2801232 2805996 2841336 2852584 2874032 2888969 2925354 2956856 2979088 2991996 2994096 3032286 3101364 3158218 3181964 3193071 3209157 3233286 3273662 3298276 3314892 3326463 3351474 3412913 3490662 3537667 3609392 3618258 3649224 3663828 3667608 3695184 3741328 3772167 3801672 3830256 3867374 3900472 3910053 3989328 4043048 4060566 4135152 4155984 4208994 4257428 4278876 4311048 4388031 4419856 4435284 4468632 4491144 4548429 4654216 4713581 4737327 4772946 4824344 4885104 4910493 4947414 4972338 5029556 5213404 5235993 5414088 5427387 5473836 5568437 5611992 5682672 5705168 5771983 5777938 5801061 5850708 5913712 5983992 6064572 6202728 6316436 6363928 6386142 6418314 6466572 6547324 6596552 6629784 6652926 6702948 6825826 6981324 7075334 7159419 7236516 7298448 7327656 7335216 7421121 7450499 7544334 7603344 7734748 7800944 7820106 8086096 8121132 8417988 8514856 8557752 8622096 8666907 8776062 8870568 8937264 8982288 9096858 9308432 9427162 9474654 9545892 9579213 9648688 9820986 9894828 9944676 10059112 10187417 10238739 10426808 10471986 10613001 10828176 10854774 10947672 11053763 11136874 11223984 11316501 11457817 11543966 11555876 11602122 11701416 11730159 11967984 12129144 12405456 12632872 12727856 12772284 12836628 12933144 13094648 13193104 13259568 13305852 13405896 13651652 13962648 14140743 14150668 14211981 14318838 14473032 14655312 14731479 14842242 14900998 15088668 15114329 15469496 15640212 15666811 16242264 16705311 16835976 17029712 17115504 17315949 17333814 17403183 17552124 17741136 18193716 18854324 18949308 19091784 19158426 19641972 19789656 19889352 20118224 20222783 20374834 20477478 20853616 20943972 21226002 21709548 21895344 22107526 22273748 22351497 22633002 22915634 23087932 23111752 23204244 23402832 23460318 23890391 24258288 24763669 25265744 25544568 25673256 25866288 26000721 26189296 26611704 26811792 27303304 27925296 28281486 28301336 28423962 28637676 28946064 29462958 29684484 29801996 30177336 30228658 30562251 30716217 30938992 31280424 31333622 31839003 32484528 32995067 33161289 33410622 33671952 34373451 34631898 34667628 34806366 35104248 36387432 37708648 37898616 38183568 38316852 38979059 39283944 39579312 39778704 40403881 40445566 40749668 40954956 41887944 42422229 42452004 43419096 44215052 44547496 44702994 45266004 45342987 45831268 46175864 46223504 46408488 46920636 47000433 47780782 49527338 50115933 51089136 51346512 51947847 52001442 53223408 54606608 56562972 56602672 56847924 57275352 58925916 59368968 59603992 60354672 60457316 60668349 61124502 61432434 62560848 62667244 63678006 65990134 66322578 66821244 67054491 68746902 69263796 69335256 69612732 70208496 71311919 71671173 72774864 74291007 75417296 75797232 76633704 77958118 78567888 80807762 80891132 81499336 81909912 83775888 84844458 84904008 86838192 88430104 89094992 89405988 89558039 90532008 90685974 91662536 91686753 92351728 92816976 93841272 94000866 95561564 98985201 99054676 99483867 100231866 103120353 103895694 104002884 105800303 109667677 113125944 113695848 114550704 116937177 117851832 118737936 119207984 120914632 121211643 121336698 122249004 122864868 125334488 127356012 131980268 132645156 133642488 134108982 136028961 137493804 138527592 138670512 139225464 141001299 141559481 142623838 143342346 148582014 153267408 155916236 161615524 161782264 162998672 163819824 169688916 169808016 176860208 178811976 179116078 181064016 181371948 182005047 183325072 183373506 187682544 188001732 191123128 193560923 197970402 198109352 198967734 200463732 206240706 207791388 208005768 211600606 213935757 215013519 219335354 222873021 226251888 227391696 230965469 233874354 235703664 241829264 242423286 242673396 244498008 245729736 250668976 254712024 263960536 265290312 267284976 268217964 268674117 272057922 274987608 277055184 278450928 282002598 283118962 285247676 286684692 296955603 297164028 311832472 315809927 317400909 323231048 323564528 329003031 339377832 350811531 357623952 358232156 362743896 363634929 364010094 366747012 376003464 382246256 387121846 395940804 396218704 397935468 400927464 412481412 415582776 416011536 423201212 424678443 427871514 430027038 438670708 445746042 461930938 467748708 484846572 485346792 488996016 491459472 499183433 509424048 527921072 530580624 536435928 537348234 544115844 549975216 564005196 566237924 570495352 573369384 580682769 593911206 594328056 623664944 626906273 631619854 634801818 641807271 646462096 658006062 678755664 692896407 701623062 716464312 725487792 727269858 728020188 733494024 740602121 752006928 767673739 774243692 791881608 795870936 801854928 806022351 824962824 831165552 846402424 849356886 855743028 860054076 877341416 891492084 923861876 935497416 947429781 952202727 969693144 970693584 987009093 998366866 1072871856 1074696468 1088231688 1128010392 1132475848 1140990704 1146738768 1161365538 1187822412 1188656112 1253812546 1263239708 1269603636 1274035329 1283614542 1316012124 1354926461 1385792814 1403246124 1432928624 1454539716 1456040376 1466988048 1481204242 1497550299 1535347478 1548487384 1583763216 1591741872 1612044702 1649925648 1692804848 1698713772 1711486056 1720108152 1742048307 1754682832 1782984168 1847723752 1870994832 1880718819 1894859562 1904405454 1939386288 1974018186 1996733732 2078689221 2149392936 2176463376 2210669489 2221806363 2256020784 2264951696 2303021217 2322731076 2375644824 2507625092 2526479416 2539207272 2548070658 2567229084 2632024248 2709852922 2771585628 2806492248 2842289343 2909079432 2912080752 2962408484 2995100598 3070694956 3096974768 3224089404 3397427544 3422972112 3440216304 3484096614 3565968336 3695447504 3761437638 3789719124 3808810908 3948036372 3993467464 4064779383 4157378442 4298785872 4388343911 4421338978 4443612726 4492650897 4606042434 4645462152 4751289648 5015250184 5052958832 5078414544 5096141316 5134458168 5264048496 5419705844 5543171256 5612984496 5642156457 5684578686 5818158864 5924816968 5990201196 6000388613 6141389912 6448178808 6632008467 6665419089 6794855088 6909063651 6968193228 7522875276 7579438248 7617621816 7896072744 7986934928 8129558766 8314756884 8776687822 8842677956 8887225452 8985301794 9212084868 9290924304 9484485227 10030500368 10192282632 10268916336 10839411688 11086342512 11284312914 11369157372 11849633936 11980402392 12000777226 12194338149 12282779824 12896357616 13165031733 13264016934 13330838178 13818127302 13936386456 15045750552 15158876496 15235243632 15474686423 15792145488 16259117532 16629513768 17553375644 17685355912 17774450904 17970603588 18001165839 18424169736 18968970454 19896025401 20384565264 21678823376 22568625828 22738314744 23960804784 24001554452 24388676298 26330063466 26528033868 26661676356 27636254604 27872772912 28453455681 30091501104 30949372846 32518235064 33259027536 35106751288 35370711824 35548901808 35941207176 36002331678 36848339472 37937940908 39495095199 39792050802 42002720291 45137251656 45476629488 46424059269 48003108904 48777352596 52660126932 53056067736 53323352712 54003497517 55272509208 56906911362 61898745692 65036470128 70213502576 71882414352 72004663356 75875881816 78990190398 79584101604 84005440582 85360367043 90274503312 92848118538 96006217808 97554705192 105320253864 106112135472 106646705424 108006995034 110545018416 113813822724 123797491384 126008160873 139272177807 144009326712 151751763632 157980380796 159168203208 168010881164 170720734086 185696237076 195109410384 210640507728 216013990068 227627645448 247594982768 252016321746 278544355614 288018653424 294019042037 315960761592 318336406416 336021762328 341441468172 371392474152 378024482619 432027980136 455255290896 504032643492 557088711228 588038084074 631921523184 672043524656 682882936344 742784948304 756048965238 864055960272 882057126111 1008065286984 1114177422456 1176076168148 1365765872688 1512097930476 1764114252222 2016130573968 2228354844912 2352152336296 2646171378333 3024195860952 3528228504444 4704304672592 5292342756666 6048391721904 7056457008888 10584685513332 14112914017776 21169371026664 42338742053328
- Sum of all divisors σ(n): 152785832509440
- Sum of proper divisors (its aliquot sum) s(n): 110447090456112
- 42338742053328 is an abundant number, because the sum of its proper divisors (110447090456112) is greater than itself. Its abundance is 68108348402784
Bases of 42338742053328
- Binary: 10011010000001110000011010111000101001110100002
- Hexadecimal: 0x2681C1AE29D0
- Base-36: F0A5DV4K0
Squares and roots of 42338742053328
- 42338742053328 squared (423387420533282) is 1792569078658244869595875584
- 42338742053328 cubed (423387420533283) is 75895119834083259533330303020884181143552
-
The
square root of 42338742053328 is 6506822.7310514615 -
The
cube root of 42338742053328 is 34853.4668416877
Scales and comparisons
How big is 42338742053328?- 42,338,742,053,328 seconds is equal to 1,346,241 years, 1 week, 5 days, 17 hours, 28 minutes, 48 seconds.
-
To count from 1 to 42,338,742,053,328 would take you about three million, three hundred sixty-five thousand, six 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 42338742053328 cubic inches would be around 2904.5 feet tall.
Recreational maths with 42338742053328
- 42338742053328 backwards is 82335024783324
- The number of decimal digits it has is: 14
- The sum of 42338742053328's digits is 54
- 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 42338742053328 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
APA style:
Numbermatics. (2024). Number 42338742053328 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/42338742053328/
Chicago style:
Numbermatics. 2024. "Number 42338742053328 - Facts about the integer". https://numbermatics.com/n/42338742053328/
The information we have on file for 42338742053328 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 42338742053328, math, Factors of 42338742053328, curriculum, school, college, exams, university, Prime factorization of 42338742053328, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, three hundred thirty-eight billion, seven hundred forty-two million, fifty-three thousand, three hundred twenty-eight.