31842942201090048
31,842,942,201,090,048 is an even composite number composed of five prime numbers multiplied together.
What does the number 31842942201090048 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1456 divisors.
31842942201090048 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred fifty-six divisors.
Prime factorization of 31842942201090048:
212 × 3 × 73 × 176 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 17 × 17 × 17 × 17 × 17 × 17 × 313)See below for interesting mathematical facts about the number 31842942201090048 from the Numbermatics database.
Names of 31842942201090048
- Cardinal: 31842942201090048 can be written as Thirty-one quadrillion, eight hundred forty-two trillion, nine hundred forty-two billion, two hundred one million, ninety thousand and forty-eight.
Scientific notation
- Scientific notation: 3.1842942201090048 × 1016
Factors of 31842942201090048
Divisors of 31842942201090048
- Number of divisors d(n): 1456
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 64 68 84 96 98 102 112 119 128 136 147 168 192 196 204 224 238 256 272 289 294 313 336 343 357 384 392 408 448 476 512 544 578 588 626 672 686 714 768 784 816 833 867 896 939 952 1024 1029 1088 1156 1176 1252 1344 1372 1428 1536 1568 1632 1666 1734 1792 1878 1904 2023 2048 2058 2176 2191 2312 2352 2499 2504 2688 2744 2856 3072 3136 3264 3332 3468 3584 3756 3808 4046 4096 4116 4352 4382 4624 4704 4913 4998 5008 5321 5376 5488 5712 5831 6069 6144 6272 6528 6573 6664 6936 7168 7512 7616 8092 8232 8704 8764 9248 9408 9826 9996 10016 10642 10752 10976 11424 11662 12138 12288 12544 13056 13146 13328 13872 14161 14336 14739 15024 15232 15337 15963 16184 16464 17408 17493 17528 18496 18816 19652 19992 20032 21284 21504 21952 22848 23324 24276 25088 26112 26292 26656 27744 28322 28672 29478 30048 30464 30674 31926 32368 32928 34391 34816 34986 35056 36992 37247 37632 39304 39984 40064 42483 42568 43008 43904 45696 46011 46648 48552 50176 52224 52584 53312 55488 56644 58956 60096 60928 61348 63852 64736 65856 68782 69632 69972 70112 73984 74494 75264 78608 79968 80128 83521 84966 85136 86016 87808 90457 91392 92022 93296 97104 99127 100352 103173 104448 105168 106624 107359 110976 111741 113288 117912 120192 121856 122696 127704 129472 131712 137564 139944 140224 147968 148988 150528 157216 159936 160256 167042 169932 170272 175616 180914 182784 184044 186592 194208 198254 200704 206346 208896 210336 213248 214718 221952 223482 226576 235824 240384 240737 243712 245392 250563 255408 258944 260729 263424 271371 275128 279888 280448 295936 297381 297976 301056 314432 319872 320512 322077 334084 339864 340544 351232 361828 365568 368088 373184 388416 396508 412692 420672 426496 429436 443904 446964 453152 471648 480768 481474 487424 490784 501126 510816 517888 521458 526848 542742 550256 559776 560896 584647 591872 594762 595952 602112 628864 633199 639744 641024 644154 668168 679728 681088 702464 722211 723656 731136 736176 746368 776832 782187 793016 825384 841344 852992 858872 887808 893928 906304 943296 961536 962948 981568 1002252 1021632 1035776 1042916 1053696 1085484 1100512 1119552 1121792 1169294 1183744 1189524 1191904 1257728 1266398 1279488 1282048 1288308 1336336 1359456 1362176 1404928 1419857 1444422 1447312 1462272 1472352 1492736 1537769 1553664 1564374 1586032 1650768 1682688 1685159 1705984 1717744 1753941 1775616 1787856 1812608 1825103 1886592 1899597 1923072 1925896 1963136 2004504 2043264 2071552 2085832 2107392 2170968 2201024 2239104 2243584 2338588 2379048 2383808 2515456 2532796 2558976 2576616 2672672 2718912 2724352 2839714 2888844 2894624 2944704 2985472 3075538 3107328 3128748 3172064 3301536 3365376 3370318 3411968 3435488 3507882 3551232 3575712 3625216 3650206 3773184 3799194 3846144 3851792 3926272 4009008 4086528 4092529 4143104 4171664 4214784 4259571 4341936 4402048 4432393 4478208 4487168 4613307 4677176 4758096 4767616 5030912 5055477 5065592 5117952 5153232 5345344 5437824 5448704 5475309 5679428 5777688 5789248 5889408 5970944 6151076 6214656 6257496 6344128 6603072 6730752 6740636 6870976 7015764 7151424 7250432 7300412 7546368 7598388 7703584 7852544 8018016 8173056 8185058 8286208 8343328 8519142 8683872 8804096 8864786 8956416 8974336 9226614 9354352 9516192 9535232 9938999 10061824 10110954 10131184 10235904 10306464 10690688 10764383 10875648 10897408 10950618 11358856 11555376 11578496 11778816 11941888 12277587 12302152 12429312 12514992 12688256 13206144 13297179 13461504 13481272 13741952 14031528 14302848 14500864 14600824 15092736 15196776 15407168 15705088 16036032 16346112 16370116 16686656 17038284 17367744 17608192 17729572 17912832 18453228 18708704 19032384 19070464 19877998 20123648 20221908 20262368 20612928 21381376 21528766 21751296 21794816 21901236 22717712 23110752 23156992 23557632 23883776 24137569 24555174 24604304 24858624 25029984 25376512 26142073 26412288 26594358 26923008 26962544 27483904 28063056 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1945187328 1948043804 1985712064 2027555796 2066761536 2095374848 2109819068 2180900352 2195934132 2226335776 2269385216 2317206624 2362013184 2365481762 2394714112 2411221792 2509639008 2544383744 2561923154 2588404224 2593583104 2666491446 2703407728 2750179488 2755682048 2803358208 2907867136 2922065706 2927912176 2958176256 2978568096 3089608832 3110906687 3143062272 3149350912 3164728602 3203837952 3339503664 3346185344 3404077824 3451205632 3548222643 3555321928 3592071168 3616832688 3666905984 3737810944 3816575616 3842884731 3890374656 3896087608 3971424128 4055111592 4133523072 4190749696 4219638136 4361800704 4391868264 4452671552 4538770432 4634413248 4724026368 4730963524 4822443584 5019278016 5088767488 5123846308 5176808448 5332982892 5406815456 5500358976 5511364096 5606716416 5815734272 5844131412 5855824352 5957136192 6179217664 6221813374 6286124544 6298701824 6329457204 6679007328 6692370688 6808155648 6902411264 7096445286 7110643856 7184142336 7233665376 7333811968 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107600772468 113543124576 113770301696 115738646016 117340991488 120880945552 122130419712 122972311392 124674803456 127085572096 129763570944 130658080854 132272738304 132466978672 135028420352 140539784448 142485489664 143467696624 148301223936 149323520976 151390832768 152434427663 154318194688 158656241037 160616896512 163963081856 170655452544 173018094592 174210774472 176011487232 181321418328 187012205184 187386379264 190628358144 198700468008 199098027968 202542630528 211541654716 213728234496 215201544936 227086249152 227540603392 231477292032 241761891104 245944622784 249349606912 259527141888 261316161708 264933957344 270056840704 281079568896 284970979328 286935393248 296602447872 298647041952 302781665536 304868855326 308636389376 317312482074 321233793024 327926163712 341310905088 346036189184 348421548944 352022974464 362642836656 370197895753 374024410368 374772758528 381256716288 397400936016 398196055936 405085261056 423083309432 427456468992 430403089872 454172498304 455081206784 457303282989 462954584064 483523782208 491889245568 498699213824 519054283776 522632323416 529867914688 540113681408 562159137792 573870786496 597294083904 605563331072 609737710652 634624964148 655852327424 682621810176 692072378368 696843097888 725285673312 740395791506 748048820736 749545517056 794801872032 796392111872 810170522112 846166618864 854912937984 860806179744 908344996608 910162413568 914606565978 925909168128 967047564416 983778491136 997398427648 1038108567552 1045264646832 1059735829376 1080227362816 1110593687259 1124318275584 1147741572992 1194588167808 1211126662144 1219475421304 1269249928296 1311704654848 1365243620352 1393686195776 1450571346624 1480791583012 1496097641472 1589603744064 1592784223744 1620341044224 1692333237728 1721612359488 1816689993216 1820324827136 1829213131956 1934095128832 1967556982272 1994796855296 2076217135104 2090529293664 2119471658752 2160454725632 2221187374518 2248636551168 2295483145984 2389176335616 2422253324288 2438950842608 2538499856592 2591385270271 2623409309696 2730487240704 2787372391552 2901142693248 2961583166024 2992195282944 3179207488128 3185568447488 3240682088448 3384666475456 3443224718976 3633379986432 3658426263912 3868190257664 3935113964544 4181058587328 4238943317504 4442374749036 4590966291968 4778352671232 4844506648576 4877901685216 5076999713184 5182770540542 5246818619392 5460974481408 5574744783104 5802285386496 5923166332048 5984390565888 6358414976256 6371136894976 6481364176896 6769332950912 6886449437952 7266759972864 7316852527824 7736380515328 7774155810813 7870227929088 8362117174656 8477886635008 8884749498072 9181932583936 9556705342464 9755803370432 10153999426368 10365541081084 11149489566208 11604570772992 11846332664096 12716829952512 12742273789952 13538665901824 13772898875904 14533519945728 14633705055648 15472761030656 15548311621626 15740455858176 16724234349312 16955773270016 17769498996144 18363865167872 19113410684928 19511606740864 20307998852736 20731082162168 22298979132416 23209141545984 23692665328192 25433659905024 27077331803648 27545797751808 29267410111296 30945522061312 31096623243252 33448468698624 33911546540032 35538997992288 36727730335744 38226821369856 39023213481728 40615997705472 41462164324336 44597958264832 46418283091968 47385330656384 50867319810048 54154663607296 55091595503616 58534820222592 62193246486504 66896937397248 71077995984576 78046426963456 81231995410944 82924328648672 89195916529664 92836566183936 94770661312768 101734639620096 108309327214592 110183191007232 117069640445184 124386492973008 133793874794496 142155991969152 156092853926912 162463990821888 165848657297344 189541322625536 216618654429184 234139280890368 248772985946016 267587749588992 284311983938304 312185707853824 324927981643776 331697314594688 379082645251072 468278561780736 497545971892032 568623967876608 624371415707648 649855963287552 663394629189376 758165290502144 936557123561472 995091943784064 1137247935753216 1326789258378752 1516330581004288 1873114247122944 1990183887568128 2274495871506432 2653578516757504 3980367775136256 4548991743012864 5307157033515008 7960735550272512 10614314067030016 15921471100545024 31842942201090048
- Sum of all divisors σ(n): 105538039557852800
- Sum of proper divisors (its aliquot sum) s(n): 73695097356762752
- 31842942201090048 is an abundant number, because the sum of its proper divisors (73695097356762752) is greater than itself. Its abundance is 41852155155672704
Bases of 31842942201090048
- Binary: 11100010010000011111100101110100111111111010000000000002
- Hexadecimal: 0x7120FCBA7FD000
- Base-36: 8PJDPP64IDC
Squares and roots of 31842942201090048
- 31842942201090048 squared (318429422010900482) is 1013972968021961510919639404642304
- 31842942201090048 cubed (318429422010900483) is 32287882614191047928685149507922229040580334190592
-
The
square root of 31842942201090048 is 178445908.3338422979 -
The
cube root of 31842942201090048 is 316959.9547416767
Scales and comparisons
How big is 31842942201090048?- 31,842,942,201,090,048 seconds is equal to 1,012,507,065 years, 15 weeks, 6 days, 21 hours, 48 seconds.
-
To count from 1 to 31,842,942,201,090,048 would take you about three billion, thirty-seven million, five hundred twenty-one thousand, one hundred ninety-five 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 31842942201090048 cubic inches would be around 26413.3 feet tall.
Recreational maths with 31842942201090048
- 31842942201090048 backwards is 84009010224924813
- The number of decimal digits it has is: 17
- The sum of 31842942201090048's digits is 57
- More coming soon!
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"Number 31842942201090048 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 31842942201090048 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/31842942201090048/
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The information we have on file for 31842942201090048 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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