34126137105984
34,126,137,105,984 is an even composite number composed of seven prime numbers multiplied together.
34126137105984 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 34126137105984:
26 × 32 × 7 × 11 × 43 × 127 × 140897
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 43 × 127 × 140897)See below for interesting mathematical facts about the number 34126137105984 from the Numbermatics database.
Names of 34126137105984
- Cardinal: 34126137105984 can be written as Thirty-four trillion, one hundred twenty-six billion, one hundred thirty-seven million, one hundred five thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 3.4126137105984 × 1013
Factors of 34126137105984
Divisors of 34126137105984
- Number of divisors d(n): 672
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 43 44 48 56 63 64 66 72 77 84 86 88 96 99 112 126 127 129 132 144 154 168 172 176 192 198 224 231 252 254 258 264 288 301 308 336 344 352 381 387 396 448 462 473 504 508 516 528 576 602 616 672 688 693 704 762 774 792 889 903 924 946 1008 1016 1032 1056 1143 1204 1232 1344 1376 1386 1397 1419 1524 1548 1584 1778 1806 1848 1892 2016 2032 2064 2112 2286 2408 2464 2667 2709 2752 2772 2794 2838 3048 3096 3168 3311 3556 3612 3696 3784 4032 4064 4128 4191 4257 4572 4816 4928 5334 5418 5461 5544 5588 5676 6096 6192 6336 6622 7112 7224 7392 7568 8001 8128 8256 8382 8514 9144 9632 9779 9933 10668 10836 10922 11088 11176 11352 12192 12384 12573 13244 14224 14448 14784 15136 16002 16383 16764 17028 18288 19264 19558 19866 21336 21672 21844 22176 22352 22704 24384 24768 25146 26488 28448 28896 29337 29799 30272 32004 32766 33528 34056 36576 38227 39116 39732 42672 43344 43688 44352 44704 45408 49149 50292 52976 56896 57792 58674 59598 60071 64008 65532 67056 68112 73152 76454 78232 79464 85344 86688 87376 88011 89408 90816 98298 100584 105952 114681 117348 119196 120142 128016 131064 134112 136224 140897 152908 156464 158928 170688 173376 174752 176022 180213 196596 201168 211904 229362 234696 238392 240284 256032 262128 268224 272448 281794 305816 312928 317856 344043 349504 352044 360426 393192 402336 420497 422691 458724 469392 476784 480568 512064 524256 540639 563588 611632 625856 635712 688086 704088 720852 786384 804672 840994 845382 917448 938784 953568 961136 986279 1048512 1081278 1127176 1223264 1261491 1268073 1376172 1408176 1441704 1549867 1572768 1681988 1690764 1834896 1877568 1907136 1922272 1972558 2162556 2254352 2446528 2522982 2536146 2752344 2816352 2883408 2958837 3099734 3145536 3363976 3381528 3669792 3784473 3844544 3945116 4325112 4508704 4649601 5045964 5072292 5504688 5632704 5766816 5917674 6058571 6199468 6727952 6763056 7339584 7568946 7890232 8650224 8876511 9017408 9299202 10091928 10144584 10849069 11009376 11533632 11835348 12117142 12398936 13455904 13526112 13948803 15137892 15780464 17300448 17753022 17893919 18175713 18598404 20183856 20289168 21698138 22018752 23670696 24234284 24797872 26911808 27052224 27897606 30275784 31560928 32547207 34600896 35506044 35787838 36351426 37196808 40367712 40578336 42409997 43396276 47341392 48468568 49595744 53681757 54527139 55795212 60551568 63121856 65094414 66644281 71012088 71575676 72702852 74393616 80735424 81156672 84819994 86792552 94682784 96937136 97641621 99191488 107363514 109054278 111590424 121103136 125257433 127229991 130188828 133288562 142024176 143151352 145405704 148787232 161045271 169639988 173585104 189365568 193874272 195283242 196833109 199932843 214727028 218108556 223180848 242206272 250514866 254459982 260377656 266577124 284048352 286302704 290811408 297574464 322090542 339279976 347170208 375772299 381689973 387748544 390566484 393666218 399865686 429454056 436217112 446361696 466509967 501029732 508919964 520755312 533154248 568096704 572605408 581622816 590499327 599798529 644181084 678559952 694340416 751544598 763379946 769438517 781132968 787332436 799731372 858908112 872434224 892723392 933019934 1002059464 1017839928 1041510624 1066308496 1127316897 1145210816 1163245632 1180998654 1199597058 1288362168 1357119904 1377831763 1399529901 1503089196 1526759892 1538877034 1562265936 1574664872 1599462744 1717816224 1744868448 1771497981 1866039868 2004118928 2035679856 2083021248 2132616992 2254633794 2308315551 2361997308 2399194116 2576724336 2714239808 2755663526 2799059802 3006178392 3053519784 3077754068 3124531872 3149329744 3198925488 3435632448 3489736896 3542995962 3732079736 4008237856 4071359712 4133495289 4198589703 4265233984 4509267588 4616631102 4723994616 4798388232 5153448672 5386069619 5511327052 5598119604 6012356784 6107039568 6155508136 6249063744 6298659488 6397850976 6924946653 7085991924 7464159472 8016475712 8142719424 8266990578 8397179406 8463823687 9018535176 9233262204 9447989232 9596776464 10306897344 10772139238 11022654104 11196239208 12024713568 12214079136 12311016272 12400485867 12597318976 12795701952 13849893306 14171983848 14928318944 16158208857 16533981156 16794358812 16927647374 18037070352 18466524408 18895978464 19193552928 21544278476 22045308208 22392478416 24049427136 24428158272 24622032544 24800971734 25391471061 27699786612 28343967696 29856637888 32316417714 33067962312 33588717624 33855294748 36074140704 36933048816 37791956928 38387105856 43088556952 44090616416 44784956832 48474626571 49244065088 49601943468 50782942122 55399573224 56687935392 59246765809 64632835428 66135924624 67177435248 67710589496 72148281408 73866097632 76174413183 86177113904 88181232832 89569913664 96949253142 99203886936 101565884244 110799146448 113375870784 118493531618 129265670856 132271849248 134354870496 135421178992 147732195264 152348826366 172354227808 177740297427 193898506284 198407773872 203131768488 221598292896 236987063236 258531341712 264543698496 268709740992 270842357984 304697652732 344708455616 355480594854 387797012568 396815547744 406263536976 443196585792 473974126472 517062683424 533220892281 541684715968 609395305464 710961189708 775594025136 793631095488 812527073952 947948252944 1034125366848 1066441784562 1218790610928 1421922379416 1551188050272 1625054147904 1895896505888 2132883569124 2437581221856 2843844758832 3102376100544 3791793011776 4265767138248 4875162443712 5687689517664 8531534276496 11375379035328 17063068552992 34126137105984
- Sum of all divisors σ(n): 125772525305856
- Sum of proper divisors (its aliquot sum) s(n): 91646388199872
- 34126137105984 is an abundant number, because the sum of its proper divisors (91646388199872) is greater than itself. Its abundance is 57520251093888
Bases of 34126137105984
- Binary: 1111100001001100111000100011110011110010000002
- Hexadecimal: 0x1F099C479E40
- Base-36: C3HBWX740
Squares and roots of 34126137105984
- 34126137105984 squared (341261371059842) is 1164593233776418018848608256
- 34126137105984 cubed (341261371059843) is 39743068368555317969056074913237969403904
-
The
square root of 34126137105984 is 5841758.0492505849 -
The
cube root of 34126137105984 is 32436.1308521939
Scales and comparisons
How big is 34126137105984?- 34,126,137,105,984 seconds is equal to 1,085,105 years, 31 weeks, 1 day, 17 hours, 26 minutes, 24 seconds.
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To count from 1 to 34,126,137,105,984 would take you about two million, seven hundred twelve thousand, seven hundred sixty-four 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 34126137105984 cubic inches would be around 2703 feet tall.
Recreational maths with 34126137105984
- 34126137105984 backwards is 48950173162143
- The number of decimal digits it has is: 14
- The sum of 34126137105984's digits is 54
- More coming soon!
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The information we have on file for 34126137105984 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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