42136128949824
42,136,128,949,824 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42136128949824 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
42136128949824 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 42136128949824:
26 × 33 × 72 × 13 × 73 × 127 × 4129
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 13 × 73 × 127 × 4129)See below for interesting mathematical facts about the number 42136128949824 from the Numbermatics database.
Names of 42136128949824
- Cardinal: 42136128949824 can be written as Forty-two trillion, one hundred thirty-six billion, one hundred twenty-eight million, nine hundred forty-nine thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 4.2136128949824 × 1013
Factors of 42136128949824
Divisors of 42136128949824
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 64 72 73 78 84 91 96 98 104 108 112 117 126 127 144 146 147 156 168 182 189 192 196 208 216 219 224 234 252 254 273 288 292 294 312 336 351 364 378 381 392 416 432 438 441 448 468 504 508 511 546 576 584 588 624 637 657 672 702 728 756 762 784 819 832 864 876 882 889 936 949 1008 1016 1022 1092 1143 1168 1176 1248 1274 1314 1323 1344 1404 1456 1512 1524 1533 1568 1638 1651 1728 1752 1764 1778 1872 1898 1911 1971 2016 2032 2044 2184 2286 2336 2352 2457 2496 2548 2628 2646 2667 2808 2847 2912 3024 3048 3066 3136 3276 3302 3429 3504 3528 3556 3577 3744 3796 3822 3942 4032 4064 4088 4129 4368 4572 4599 4672 4704 4914 4953 5096 5256 5292 5334 5616 5694 5733 5824 6048 6096 6132 6223 6552 6604 6643 6858 7008 7056 7112 7154 7488 7592 7644 7884 8001 8128 8176 8258 8541 8736 9144 9198 9271 9408 9828 9906 10192 10512 10584 10668 10731 11232 11388 11466 11557 12096 12192 12264 12387 12446 13104 13208 13286 13716 13797 14016 14112 14224 14308 14859 15184 15288 15768 16002 16352 16516 17082 17199 17472 18288 18396 18542 18669 19656 19812 19929 20384 21024 21168 21336 21462 22464 22776 22932 23114 24003 24384 24528 24774 24892 25623 26208 26416 26572 27432 27594 27813 28224 28448 28616 28903 29718 30368 30576 31536 32004 32193 32704 33032 34164 34398 34671 36576 36792 37084 37161 37338 39312 39624 39858 40768 42048 42336 42672 42924 44577 45552 45864 46228 46501 48006 49056 49548 49784 51246 52416 52832 53144 53677 54864 55188 55626 56007 56896 57232 57806 59436 59787 60736 61152 63072 64008 64386 64897 66064 68328 68796 69342 73152 73584 74168 74322 74676 78624 79248 79716 80899 83439 84672 85344 85848 86709 89154 91104 91728 92456 93002 96012 96579 98112 99096 99568 102492 104013 105664 106288 107354 109728 110376 111252 111483 112014 114464 115612 118872 119574 120523 122304 126144 128016 128772 129794 132128 136656 137592 138684 139503 147168 148336 148644 149352 157248 158496 159432 161031 161798 166878 168021 170688 171696 173418 178308 179361 182208 183456 184912 186004 192024 193158 194691 198192 199136 202321 204984 208026 212576 214708 219456 220752 222504 222966 224028 228928 231224 237744 239148 241046 242697 250317 256032 257544 259588 260127 264256 273312 275184 277368 279006 294336 296672 297288 298704 301417 312039 316992 318864 322062 323596 333756 336042 343392 346836 356616 358722 361569 366912 369824 372008 375739 384048 386316 389382 396384 398272 404642 409968 416052 418509 425152 429416 441504 445008 445932 448056 454279 462448 475488 478296 482092 483093 485394 500634 512064 515088 519176 520254 524383 546624 550368 554736 558012 584073 593344 594576 597408 602834 606963 624078 637728 644124 647192 667512 672084 686784 693672 713232 717444 723138 728091 739648 744016 751478 768096 772632 778764 780381 792768 809284 819936 832104 837018 843661 858832 883008 890016 891864 896112 904251 908558 924896 950976 956592 964184 966186 970788 1001268 1030176 1038352 1040508 1048766 1084707 1100736 1109472 1116024 1127217 1168146 1189152 1194816 1205668 1213926 1248156 1255527 1275456 1288248 1294384 1335024 1344168 1362837 1387344 1426464 1434888 1446276 1449279 1456182 1488032 1502956 1536192 1545264 1557528 1560762 1573149 1618568 1639872 1664208 1674036 1687322 1717664 1752219 1780032 1783728 1792224 1808502 1817116 1820889 1849792 1913184 1928368 1932372 1941576 2002536 2060352 2076704 2081016 2097532 2109919 2169414 2184273 2218944 2232048 2254434 2336292 2378304 2411336 2427852 2496312 2511054 2530983 2576496 2588768 2630173 2670048 2688336 2712753 2725674 2774688 2852928 2869776 2892552 2898558 2912364 2976064 3005912 3090528 3115056 3121524 3146298 3237136 3254121 3328416 3348072 3374644 3381651 3435328 3504438 3567456 3584448 3617004 3634232 3641778 3670681 3826368 3856736 3864744 3883152 3918421 4005072 4088511 4153408 4162032 4195064 4219838 4338828 4368546 4464096 4508868 4672584 4719447 4822672 4855704 4992624 5022108 5061966 5152992 5177536 5260346 5340096 5376672 5425506 5451348 5462667 5549376 5739552 5785104 5797116 5824728 5905627 6011824 6181056 6230112 6243048 6292596 6329757 6474272 6508242 6656832 6696144 6749288 6763302 6816979 7008876 7134912 7234008 7268464 7283556 7341362 7592949 7713472 7729488 7766304 7836842 7890519 8010144 8138259 8177022 8324064 8390128 8439676 8677656 8737092 8928192 9017736 9345168 9438894 9645344 9711408 9985248 10044216 10123932 10144953 10305984 10520692 10753344 10851012 10902696 10925334 11012043 11479104 11570208 11594232 11649456 11755263 11811254 12023648 12265533 12460224 12486096 12585192 12659514 12948544 13016484 13392288 13498576 13526604 13633958 14017752 14158341 14468016 14536928 14567112 14682724 14769433 15185898 15458976 15532608 15673684 15781038 16020288 16276518 16354044 16648128 16780256 16879352 17355312 17474184 17716881 18035472 18690336 18877788 18989271 19290688 19422816 19970496 20088432 20247864 20289906 20450937 21041384 21702024 21805392 21850668 22024086 22778847 23140416 23188464 23298912 23510526 23622508 23671557 24047296 24531066 24972192 25170384 25319028 25694767 26032968 26784576 26997152 27053208 27267916 27428947 28035504 28316682 28936032 29073856 29134224 29365448 29538866 30371796 30917952 31347368 31562076 32553036 32708088 33036129 33560512 33758704 34710624 34948368 35265789 35433762 36070944 37380672 37755576 37978542 38279959 38845632 40176864 40495728 40579812 40901874 42082768 43404048 43610784 43701336 44048172 44308299 45557694 46376928 46597824 47021052 47245016 47343114 47718853 49062132 49944384 50340768 50638056 51389534 52065936 53150643 53994304 54106416 54535832 54857894 56071008 56633364 56967813 57872064 58268448 58730896 59077732 60743592 61352811 62694736 63124152 65106072 65416176 66072258 67517408 69421248 69896736 70531578 70867524 71014671 72141888 75511152 75957084 76559918 77084301 80353728 80991456 81159624 81803748 82286841 84165536 86808096 87221568 87402672 88096344 88616598 91115388 92753856 94042104 94490032 94686228 95437706 98124264 99108387 100681536 101276112 102779068 104131872 105797367 106301286 108212832 109071664 109715788 112142016 113266728 113935626 114839877 116536896 117461792 118155464 121487184 122705622 125389472 126248304 130212144 130832352 132144516 132924897 135034816 139793472 141063156 141735048 142029342 143156559 151022304 151914168 153119836 154168602 159451929 161982912 162319248 163607496 164573682 168331072 173616192 174805344 176192688 177233196 182230776 184058433 188084208 188980064 189372456 190875412 192002629 196248528 198216774 202552224 205558136 208263744 211594734 212602572 216425664 218143328 219431576 226533456 227871252 229679754 231252903 234923584 236310928 242974368 245411244 246860523 250778944 252496608 260424288 261664704 264289032 265849794 267959713 282126312 283470096 284058684 286313118 302044608 303828336 306239672 308337204 318903858 324638496 327214992 329147364 334031971 344519631 349610688 352385376 354466392 364461552 368116866 376168416 377960128 378744912 381750824 384005258 392497056 396433548 398774691 405104448 411116272 423189468 425205144 429469677 436286656 438863152 453066912 455742504 459359508 462505806 472621856 485948736 490822488 493721046 497639467 504993216 520848576 528578064 531699588 535919426 564252624 566940192 568117368 572626236 576007887 607656672 612479344 616674408 637807716 649276992 654429984 658294728 668063942 689039262 693758709 704770752 708932784 728923104 736233732 740581569 752336832 757489824 763501648 768010516 784994112 792867096 797549382 803879139 822232544 846378936 850410288 858939354 877726304 906133824 911485008 918719016 925011612 945243712 981644976 987442092 995278934 1002095913 1033558893 1057156128 1063399176 1071838852 1128505248 1133880384 1136234736 1145252472 1152015774 1215313344 1224958688 1233348816 1275615432 1288409031 1308859968 1316589456 1336127884 1378078524 1387517418 1417865568 1457846208 1472467464 1481163138 1492918401 1514979648 1527003296 1536021032 1585734192 1595098764 1607758278 1644465088 1692757872 1700820576 1717878708 1728023661 1755452608 1822970016 1837438032 1850023224 1875717991 1963289952 1974884184 1990557868 2004191826 2067117786 2114312256 2126798352 2143677704 2257010496 2272469472 2290504944 2304031548 2411637417 2449917376 2466697632 2551230864 2576818062 2633178912 2672255768 2756157048 2775034836 2835731136 2944934928 2962326276 2985836802 3006287739 3054006592 3072042064 3171468384 3190197528 3215516556 3385515744 3401641152 3435757416 3456047322 3483476269 3645940032 3674876064 3700046448 3751435982 3926579904 3949768368 3981115736 4008383652 4134235572 4253596704 4287355408 4478755203 4544938944 4581009888 4608063096 4823274834 4933395264 5102461728 5153636124 5184070983 5266357824 5344511536 5512314096 5550069672 5627153973 5889869856 5924652552 5971673604 6012575478 6144084128 6342936768 6380395056 6431033112 6771031488 6871514832 6912094644 6966952538 7234912251 7349752128 7400092896 7502871964 7899536736 7962231472 8016767304 8268471144 8507193408 8574710816 8957510406 9018863217 9162019776 9216126192 9646549668 10204923456 10307272248 10368141966 10450428807 10689023072 11024628192 11100139344 11254307946 11779739712 11849305104 11943347208 12025150956 12288168256 12760790112 12862066224 13436265609 13743029664 13824189288 13933905076 14469824502 14800185792 15005743928 15799073472 15924462944 16033534608 16536942288 16881461919 17149421632 17915020812 18037726434 18432252384 19293099336 20614544496 20736283932 20900857614 21378046144 22049256384 22200278688 22508615892 23698610208 23886694416 24050301912 24384333883 25521580224 25724132448 26872531218 27486059328 27648378576 27867810152 28939649004 30011487856 31351286421 31848925888 32067069216 33073884576 33762923838 35830041624 36075452868 36864504768 38586198672 41229088992 41472567864 41801715228 44400557376 45017231784 47397220416 47773388832 48100603824 48768667766 50644385757 51448264896 53745062436 55296757152 55735620304 57879298008 60022975712 62702572842 64134138432 66147769152 67525847676 71660083248 72150905736 73153001649 77172397344 82458177984 82945135728 83603430456 90034463568 94053859263 95546777664 96201207648 97537335532 101288771514 107490124872 110593514304 111471240608 115758596016 120045951424 125405145684 135051695352 143320166496 144301811472 146306003298 154344794688 165890271456 167206860912 180068927136 188107718526 192402415296 195074671064 202577543028 214980249744 219459004947 222942481216 231517192032 250810291368 270103390704 286640332992 288603622944 292612006596 331780542912 334413721824 360137854272 376215437052 390149342128 405155086056 429960499488 438918009894 463034384064 501620582736 540206781408 577207245888 585224013192 658377014841 668827443648 752430874104 780298684256 810310172112 859920998976 877836019788 1003241165472 1080413562816 1170448026384 1316754029682 1504861748208 1560597368512 1620620344224 1755672039576 2006482330944 2340896052768 2633508059364 3009723496416 3241240688448 3511344079152 4681792105536 5267016118728 6019446992832 7022688158304 10534032237456 14045376316608 21068064474912 42136128949824
- Sum of all divisors σ(n): 158583626342400
- Sum of proper divisors (its aliquot sum) s(n): 116447497392576
- 42136128949824 is an abundant number, because the sum of its proper divisors (116447497392576) is greater than itself. Its abundance is 74311368442752
Bases of 42136128949824
- Binary: 10011001010010100101001111111110001110010000002
- Hexadecimal: 0x265294FF8E40
- Base-36: EXP2J95C0
Squares and roots of 42136128949824
- 42136128949824 squared (421361289498242) is 1775453362876196185109630976
- 42136128949824 cubed (421361289498243) is 74810731842550065549411270163071060148224
-
The
square root of 42136128949824 is 6491234.7785166421 -
The
cube root of 42136128949824 is 34797.7805400207
Scales and comparisons
How big is 42136128949824?- 42,136,128,949,824 seconds is equal to 1,339,798 years, 29 weeks, 2 days, 15 hours, 50 minutes, 24 seconds.
-
To count from 1 to 42,136,128,949,824 would take you about three million, three hundred forty-nine thousand, four hundred ninety-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 42136128949824 cubic inches would be around 2899.8 feet tall.
Recreational maths with 42136128949824
- 42136128949824 backwards is 42894982163124
- 42136128949824 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42136128949824's digits is 63
- 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 42136128949824 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 42136128949824 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/42136128949824/
Chicago style:
Numbermatics. 2024. "Number 42136128949824 - Facts about the integer". https://numbermatics.com/n/42136128949824/
The information we have on file for 42136128949824 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 42136128949824, math, Factors of 42136128949824, curriculum, school, college, exams, university, Prime factorization of 42136128949824, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, one hundred thirty-six billion, one hundred twenty-eight million, nine hundred forty-nine thousand, eight hundred twenty-four.