106307648029440
106,307,648,029,440 is an even composite number composed of seven prime numbers multiplied together.
106307648029440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 106307648029440:
28 × 32 × 5 × 11 × 13 × 1272 × 4001
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 13 × 127 × 127 × 4001)See below for interesting mathematical facts about the number 106307648029440 from the Numbermatics database.
Names of 106307648029440
- Cardinal: 106307648029440 can be written as One hundred six trillion, three hundred seven billion, six hundred forty-eight million, twenty-nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.0630764802944 × 1014
Factors of 106307648029440
Divisors of 106307648029440
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 30 32 33 36 39 40 44 45 48 52 55 60 64 65 66 72 78 80 88 90 96 99 104 110 117 120 127 128 130 132 143 144 156 160 165 176 180 192 195 198 208 220 234 240 254 256 260 264 286 288 312 320 330 352 360 381 384 390 396 416 429 440 468 480 495 508 520 528 572 576 585 624 635 640 660 704 715 720 762 768 780 792 832 858 880 936 960 990 1016 1040 1056 1143 1144 1152 1170 1248 1270 1280 1287 1320 1397 1408 1430 1440 1524 1560 1584 1651 1664 1716 1760 1872 1905 1920 1980 2032 2080 2112 2145 2286 2288 2304 2340 2496 2540 2574 2640 2794 2816 2860 2880 3048 3120 3168 3302 3328 3432 3520 3744 3810 3840 3960 4001 4064 4160 4191 4224 4290 4572 4576 4680 4953 4992 5080 5148 5280 5588 5715 5720 5760 6096 6240 6336 6435 6604 6864 6985 7040 7488 7620 7920 8002 8128 8255 8320 8382 8448 8580 9144 9152 9360 9906 9984 10160 10296 10560 11176 11430 11440 11520 12003 12192 12480 12573 12672 12870 13208 13728 13970 14080 14859 14976 15240 15840 16004 16129 16256 16510 16640 16764 17160 18161 18288 18304 18720 19812 20005 20320 20592 20955 21120 22352 22860 22880 24006 24384 24765 24960 25146 25344 25740 26416 27456 27940 29718 29952 30480 31680 32008 32258 32512 33020 33528 34320 36009 36322 36576 36608 37440 39624 40010 40640 41184 41910 42240 44011 44704 45720 45760 48012 48387 48768 49530 49920 50292 51480 52013 52832 54483 54912 55880 59436 60015 60960 62865 63360 64016 64516 66040 67056 68640 72018 72644 73152 74295 74880 79248 80020 80645 81280 82368 83820 88022 89408 90805 91440 91520 96024 96774 97536 99060 100584 102960 104026 105664 108966 109824 111760 118872 120030 121920 125730 126720 128032 129032 132033 132080 134112 137280 144036 145161 145288 146304 148590 149760 156039 158496 160040 161290 162560 163449 164736 167640 176044 177419 178816 180045 181610 182880 183040 192048 193548 198120 201168 205920 208052 209677 211328 217932 220055 223520 237744 240060 241935 243840 251460 256064 258064 260065 264066 264160 268224 272415 274560 288072 290322 290576 292608 297180 312078 316992 320080 322580 326898 329472 335280 352088 354838 357632 360090 363220 365760 384096 387096 396099 396240 402336 411840 416104 419354 422656 435864 440110 447040 468117 475488 480120 483870 487680 502920 508127 512128 516128 520130 528132 528320 532257 536448 544830 549120 572143 576144 580644 581152 594360 624156 629031 633984 640160 645160 653796 660165 670560 704176 709676 720180 725805 726440 731520 768192 774192 780195 792198 792480 804672 817245 823680 832208 838708 871728 880220 887095 894080 936234 950976 960240 967740 1005840 1016254 1024256 1032256 1040260 1048385 1056264 1056640 1064514 1072896 1089660 1144286 1152288 1161288 1162304 1188720 1248312 1258062 1267968 1280320 1290320 1307592 1320330 1341120 1408352 1419352 1440360 1451610 1452880 1463040 1524381 1536384 1548384 1560390 1584396 1584960 1596771 1609344 1634490 1647360 1664416 1677416 1716429 1743456 1760440 1774190 1788160 1872468 1887093 1901952 1920480 1935480 1980495 2011680 2032508 2064512 2080520 2096770 2112528 2113280 2129028 2179320 2288572 2304576 2306447 2322576 2324608 2340585 2377440 2496624 2516124 2540635 2560640 2580640 2615184 2640660 2661285 2682240 2816704 2838704 2860715 2880720 2903220 2905760 3048762 3072768 3096768 3120780 3145155 3168792 3169920 3193542 3218688 3268980 3328832 3354832 3432858 3486912 3520880 3548380 3744936 3774186 3803904 3840960 3870960 3960990 4023360 4065016 4129024 4161040 4193540 4225056 4258056 4358640 4573143 4577144 4609152 4612894 4645152 4649216 4681170 4754880 4993248 5032248 5081270 5121280 5149287 5161280 5230368 5281320 5322570 5364480 5589397 5633408 5677408 5721430 5761440 5806440 5811520 6097524 6193536 6241560 6290310 6337584 6339840 6387084 6537960 6605651 6657664 6709664 6865716 6919341 6973824 7041760 7096760 7489872 7548372 7621905 7681920 7741920 7921980 7983855 8046720 8130032 8322080 8387080 8450112 8516112 8582145 8717280 9146286 9154288 9218304 9225788 9290304 9362340 9435465 9509760 9986496 10064496 10162540 10298574 10322560 10460736 10562640 10645140 11178794 11266816 11354816 11442860 11522880 11532235 11612880 11623040 12195048 12387072 12483120 12580620 12675168 12774168 13075920 13211302 13315328 13419328 13731432 13838682 13947648 14083520 14193520 14979744 15096744 15243810 15363840 15483840 15843960 15967710 16093440 16260064 16644160 16768191 16774160 16900224 17032224 17164290 17434560 18292572 18308576 18451576 18580608 18724680 18870930 19019520 19816953 19972992 20128992 20325080 20597148 20645120 20758023 20921472 21125280 21290280 22357588 22709632 22865715 22885720 23045760 23064470 23225760 23246080 24390096 24966240 25161240 25350336 25548336 25746435 26151840 26422604 26838656 27462864 27677364 27946985 28167040 28387040 29959488 30193488 30487620 30967680 31687920 31935420 32520128 33028255 33288320 33536382 33548320 33800448 34064448 34328580 34596705 34869120 36585144 36617152 36903152 37161216 37449360 37741860 39633906 39945984 40257984 40650160 41194296 41516046 41842944 42250560 42580560 44715176 45419264 45731430 45771440 46091520 46128940 46451520 48780192 49932480 50304573 50322480 50700672 51096672 51492870 52303680 52845208 53677312 54925728 55354728 55893970 56334080 56774080 59450859 59918976 60386976 60975240 61935360 63375840 63870840 64532129 65040256 66056510 66576640 67072764 67096640 68128896 68657160 69193410 69738240 72662161 73170288 73234304 73806304 74898720 75483720 79267812 80515968 81300320 82388592 83032092 83840955 84501120 85161120 89430352 91462860 91542880 92257880 92903040 97560384 99084765 99864960 100609146 100644960 101401344 102193344 102985740 103790115 104607360 105690416 109851456 110709456 111787940 113548160 118901718 119837952 120773952 121950480 126751680 127741680 129064258 130080512 132113020 134145528 134193280 136257792 137314320 138386820 145324322 146340576 146468608 147612608 149797440 150967440 158535624 161031936 162600640 164777184 166064184 167681910 169002240 170322240 178860704 182925720 183085760 184515760 185806080 193596387 195120768 198169530 199729920 201218292 201289920 204386688 205971480 207580230 209214720 211380832 217986483 219702912 221418912 223575880 227096320 237803436 241547904 243900960 251522865 253503360 255483360 258128516 264226040 268291056 268386560 274628640 276773640 290648644 292681152 295225216 297254295 299594880 301934880 317071248 322660645 325201280 329554368 332128368 335363820 340644480 357721408 363310805 365851440 366171520 369031520 387192774 390241536 396339060 402436584 402579840 408773376 411942960 415160460 422761664 435972966 439405824 442837824 447151760 475606872 483095808 487801920 503045730 507006720 510966720 516257032 528452080 536582112 549257280 553547280 580789161 581297288 585362304 590450432 594508590 599189760 603869760 634142496 645321290 650402560 653959449 659108736 664256736 670727640 681288960 709853419 715442816 726621610 731702880 732343040 738063040 774385548 792678120 804873168 805159680 823885920 830320920 838917677 845523328 871945932 885675648 894303520 951213744 967981935 975603840 1006091460 1021933440 1032514064 1056904160 1073164224 1089932415 1098514560 1107094560 1161578322 1162594576 1170724608 1189017180 1207739520 1268284992 1290642580 1307918898 1318217472 1328513472 1341455280 1419706838 1430885632 1453243220 1463405760 1476126080 1548771096 1585356240 1609746336 1647771840 1660641840 1677835354 1691046656 1743891864 1771351296 1788607040 1902427488 1935963870 1951207680 2012182920 2043866880 2065028128 2113808320 2129560257 2146328448 2179864830 2197029120 2214189120 2323156644 2325189152 2378034360 2415479040 2516753031 2536569984 2581285160 2615837796 2657026944 2682910560 2839413676 2903945805 2906486440 2926811520 2952252160 3097542192 3170712480 3219492672 3269797245 3295543680 3321283680 3355670708 3487783728 3549267095 3577214080 3804854976 3871927740 4024365840 4130056256 4194588385 4227616640 4259120514 4292656896 4359729660 4428378240 4646313288 4650378304 4756068720 5033506062 5073139968 5162570320 5231675592 5314053888 5365821120 5678827352 5807891610 5812972880 5853623040 6195084384 6341424960 6388680771 6438985344 6539594490 6591087360 6642567360 6711341416 6975567456 7098534190 7154428160 7550259093 7609709952 7743855480 8048731680 8260112512 8389176770 8455233280 8518241028 8719459320 8856756480 9228094447 9292626576 9300756608 9512137440 10067012124 10325140640 10463351184 10647801285 10731642240 11357654704 11615783220 11625945760 12390168768 12583765155 12682849920 12777361542 12877970688 13079188980 13285134720 13422682832 13951134912 14197068380 15100518186 15219419904 15487710960 16097463360 16520225024 16778353540 17036482056 17438918640 18456188894 18585253152 18601513216 19024274880 20134024248 20650281280 20926702368 21295602570 21463284480 22715309408 23231566440 23251891520 24780337536 25167530310 25365699840 25554723084 26158377960 26570269440 26845365664 27684283341 27902269824 28394136760 30201036372 30975421920 31943403855 32194926720 33556707080 34072964112 34877837280 36912377788 37170506304 37751295465 38048549760 40268048496 41300562560 41853404736 42591205140 45430618816 46140472235 46463132880 46503783040 49560675072 50335060620 51109446168 52316755920 53690731328 55368566682 55804539648 56788273520 60402072744 61950843840 63886807710 64389853440 67113414160 68145928224 69755674560 73824755576 74341012608 75502590930 76097099520 80536096992 82601125120 83052850023 83706809472 85182410280 90861237632 92280944470 92926265760 93007566080 100670121240 102218892336 104633511840 107381462656 110737133364 113576547040 120804145488 123901687680 127773615420 134226828320 136291856448 138421416705 139511349120 147649511152 148682025216 151005181860 161072193984 166105700046 167413618944 170364820560 181722475264 184561888940 185852531520 201340242480 204437784672 209267023680 214762925312 221474266728 227153094080 241608290976 247803375360 255547230840 268453656640 272583712896 276842833410 279022698240 295299022304 302010363720 322144387968 332211400092 340729641120 369123777880 371705063040 402680484960 408875569344 415264250115 418534047360 442948533456 454306188160 483216581952 511094461680 536907313280 545167425792 553685666820 590598044608 604020727440 644288775936 664422800184 681459282240 738247555760 743410126080 805360969920 817751138688 830528500230 837068094720 885897066912 908612376320 966433163904 1022188923360 1073814626560 1107371333640 1181196089216 1208041454880 1328845600368 1362918564480 1476495111520 1610721939840 1635502277376 1661057000460 1771794133824 1932866327808 2044377846720 2214742667280 2362392178432 2416082909760 2657691200736 2725837128960 2952990223040 3221443879680 3322114000920 3543588267648 4088755693440 4429485334560 4832165819520 5315382401472 5905980446080 6644228001840 7087176535296 8177511386880 8858970669120 9664331639040 10630764802944 11811960892160 13288456003680 17717941338240 21261529605888 26576912007360 35435882676480 53153824014720 106307648029440
- Sum of all divisors σ(n): 435654570458016
- Sum of proper divisors (its aliquot sum) s(n): 329346922428576
- 106307648029440 is an abundant number, because the sum of its proper divisors (329346922428576) is greater than itself. Its abundance is 223039274399136
Bases of 106307648029440
- Binary: 110000010101111101011011001100100000011000000002
- Hexadecimal: 0x60AFAD990300
- Base-36: 11OL24URK0
Squares and roots of 106307648029440
- 106307648029440 squared (1063076480294402) is 11301316029551298315106713600
- 106307648029440 cubed (1063076480294403) is 1201416326739007763135347814222354448384000
-
The
square root of 106307648029440 is 10310560.0250151301 -
The
cube root of 106307648029440 is 47371.9762944263
Scales and comparisons
How big is 106307648029440?- 106,307,648,029,440 seconds is equal to 3,380,254 years, 19 weeks, 3 days, 22 hours, 24 minutes.
-
To count from 1 to 106,307,648,029,440 would take you about eight million, four hundred fifty thousand, six hundred thirty-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 106307648029440 cubic inches would be around 3947.7 feet tall.
Recreational maths with 106307648029440
- 106307648029440 backwards is 044920846703601
- The number of decimal digits it has is: 15
- The sum of 106307648029440's digits is 54
- More coming soon!
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The information we have on file for 106307648029440 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 106307648029440, math, Factors of 106307648029440, curriculum, school, college, exams, university, Prime factorization of 106307648029440, STEM, science, technology, engineering, physics, economics, calculator, one hundred six trillion, three hundred seven billion, six hundred forty-eight million, twenty-nine thousand, four hundred forty.