106380983184000
106,380,983,184,000 is an even composite number composed of seven prime numbers multiplied together.
106380983184000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 106380983184000:
27 × 3 × 53 × 7 × 61 × 2789 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 61 × 2789 × 1861)See below for interesting mathematical facts about the number 106380983184000 from the Numbermatics database.
Names of 106380983184000
- Cardinal: 106380983184000 can be written as One hundred six trillion, three hundred eighty billion, nine hundred eighty-three million, one hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.06380983184 × 1014
Factors of 106380983184000
Divisors of 106380983184000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 61 64 70 75 80 84 96 100 105 112 120 122 125 128 140 150 160 168 175 183 192 200 210 224 240 244 250 280 300 305 320 336 350 366 375 384 400 420 427 448 480 488 500 525 560 600 610 640 672 700 732 750 800 840 854 875 896 915 960 976 1000 1050 1120 1200 1220 1281 1344 1400 1464 1500 1525 1600 1680 1708 1750 1830 1861 1920 1952 2000 2100 2135 2240 2400 2440 2562 2625 2688 2789 2800 2928 3000 3050 3200 3360 3416 3500 3660 3722 3904 4000 4200 4270 4480 4575 4800 4880 5124 5250 5578 5583 5600 5856 6000 6100 6405 6720 6832 7000 7320 7444 7625 7808 8000 8367 8400 8540 9150 9305 9600 9760 10248 10500 10675 11156 11166 11200 11712 12000 12200 12810 13027 13440 13664 13945 14000 14640 14888 15250 16000 16734 16800 17080 18300 18610 19520 19523 20496 21000 21350 22312 22332 22400 22875 23424 24000 24400 25620 26054 27328 27890 27915 28000 29280 29776 30500 32025 33468 33600 34160 36600 37220 39040 39046 39081 40992 41835 42000 42700 44624 44664 45750 46525 48000 48800 51240 52108 53375 54656 55780 55830 56000 58560 58569 59552 61000 64050 65135 66936 67200 68320 69725 73200 74440 78092 78162 81984 83670 84000 85400 89248 89328 91500 93050 97600 97615 102480 104216 106750 111560 111660 112000 113521 117120 117138 119104 122000 128100 130270 133872 136640 139450 139575 146400 148880 156184 156324 160125 163968 167340 168000 170129 170800 178496 178656 183000 186100 195200 195230 195405 204960 208432 209175 213500 223120 223320 227042 232625 234276 238208 244000 256200 260540 267744 273280 278900 279150 292800 292845 297760 312368 312648 320250 325675 334680 336000 340258 340563 341600 348625 356992 357312 366000 372200 390460 390810 409920 416864 418350 427000 446240 446640 454084 465250 468552 488000 488075 510387 512400 521080 535488 557800 558300 567605 585600 585690 595520 624736 625296 640500 651350 669360 680516 681126 683200 697250 697875 714624 732000 744400 780920 781620 794647 819840 833728 836700 850645 854000 892480 893280 908168 930500 937104 976000 976150 977025 1020774 1024800 1042160 1045875 1070976 1115600 1116600 1135210 1171380 1190903 1191040 1249472 1250592 1281000 1302700 1338720 1361032 1362252 1366400 1394500 1395750 1464000 1464225 1488800 1561840 1563240 1589294 1628375 1667456 1673400 1701290 1702815 1708000 1784960 1786560 1816336 1861000 1874208 1952300 1954050 2041548 2049600 2084320 2091750 2231200 2233200 2270420 2342760 2381806 2383941 2440375 2498944 2501184 2551935 2562000 2605400 2677440 2722064 2724504 2789000 2791500 2838025 2928000 2928450 2977600 3123680 3126480 3178588 3256750 3346800 3402580 3405630 3416000 3572709 3573120 3632672 3722000 3748416 3904600 3908100 3973235 4083096 4099200 4168640 4183500 4253225 4462400 4466400 4540840 4685520 4763612 4767882 4880750 4885125 5002368 5103870 5124000 5190329 5210800 5354880 5444128 5449008 5578000 5583000 5676050 5856900 5954515 5955200 6247360 6252960 6357176 6513500 6693600 6805160 6811260 6832000 7145418 7265344 7321125 7444000 7496832 7809200 7816200 7946470 8166192 8337280 8367000 8506450 8514075 8924800 8932800 9081680 9371040 9527224 9535764 9761500 9770250 10207740 10248000 10380658 10421600 10888256 10898016 11156000 11166000 11352100 11713800 11909030 11919705 12494720 12505920 12714352 12759675 13027000 13387200 13610320 13622520 14190125 14290836 14530688 14642250 14888000 15570987 15618400 15632400 15892940 16332384 16734000 17012900 17028150 17863545 17865600 18163360 18742080 19054448 19071528 19523000 19540500 19866175 20415480 20496000 20761316 20843200 21266125 21776512 21796032 22312000 22332000 22704200 23427600 23818060 23839410 25011840 25428704 25519350 25951645 26054000 26774400 27220640 27245040 28380250 28581672 29284500 29772575 29776000 31141974 31236800 31264800 31785880 32664768 33468000 34025800 34056300 35727090 36326720 36332303 37484160 38108896 38143056 39046000 39081000 39732350 40830960 41522632 41686400 42532250 42570375 43592064 44624000 44664000 45408400 46855200 47636120 47678820 50857408 51038700 51903290 52108000 54441280 54490080 56760500 57163344 58569000 59545150 59598525 62283948 62473600 62529600 63571760 63798375 65329536 66936000 68051600 68112600 71454180 72653440 72664606 76217792 76286112 77854935 78092000 78162000 79464700 81661920 83045264 85064500 85140750 89317725 89328000 90816800 93710400 95272240 95357640 99330875 101714816 102077400 103806580 104216000 108882560 108980160 108996909 113521000 114326688 117138000 119090300 119197050 124567896 125059200 127143520 127596750 129758225 133872000 136103200 136225200 142908360 145329212 148862875 152435584 152572224 155709870 156184000 156324000 158929400 163323840 166090528 170129000 170281500 178635450 181633600 181661515 187420800 190544480 190715280 198661750 204154800 207613160 208432000 217960320 217993818 227042000 228653376 234276000 238180600 238394100 249135792 254287040 255193500 259516450 272206400 272450400 285816720 290658424 297725750 297992625 305144448 311419740 312368000 312648000 316610069 317858800 326647680 332181056 340258000 340563000 357270900 363267200 363323030 381088960 381430560 389274675 397323500 408309600 415226320 435987636 446588625 454084000 457306752 468552000 476361200 476788200 498271584 508574080 510387000 519032900 544412800 544900800 544984545 571633440 581316848 595451500 595985250 622839480 625296000 633220138 635717600 648791125 664362112 680516000 681126000 714541800 726646060 762177920 762861120 778549350 794647000 816619200 830452640 871975272 893177250 908168000 908307575 937104000 949830207 952722400 953576400 996543168 1020774000 1038065800 1089801600 1089969090 1143266880 1162633696 1190903000 1191970500 1245678960 1266440276 1271435200 1297582250 1361032000 1362252000 1429083600 1453292120 1525722240 1557098700 1583050345 1589294000 1633238400 1660905280 1743950544 1786354500 1816336000 1816615150 1899660414 1905444800 1907152800 1946373375 1993086336 2041548000 2076131600 2179938180 2216270483 2286533760 2325267392 2381806000 2383941000 2491357920 2532880552 2542870400 2595164500 2722064000 2724504000 2724922725 2858167200 2906584240 3114197400 3166100690 3178588000 3321810560 3487901088 3572709000 3633230300 3799320828 3810889600 3814305600 3892746750 4083096000 4152263200 4359876360 4432540966 4541537875 4650534784 4749151035 4763612000 4767882000 4982715840 5065761104 5190329000 5449008000 5449845450 5716334400 5813168480 6228394800 6332201380 6357176000 6648811449 6975802176 7145418000 7266460600 7598641656 7628611200 7785493500 7915251725 8166192000 8304526400 8719752720 8865081932 9083075750 9498302070 9527224000 9535764000 9965431680 10131522208 10380658000 10899690900 11081352415 11432668800 11626336960 12456789600 12664402760 12714352000 13297622898 13624613625 13951604352 14290836000 14532921200 15197283312 15570987000 15830503450 16609052800 17439505440 17730163864 18166151500 18996604140 19054448000 19071528000 20263044416 20761316000 21799381800 22162704830 23252673920 23745755175 24913579200 25328805520 26595245796 27249227250 28581672000 29065842400 30394566624 31141974000 31661006900 33244057245 34879010880 35460327728 36332303000 37993208280 38143056000 39576258625 40526088832 41522632000 43598763600 44325409660 47491510350 49827158400 50657611040 53190491592 54498454500 55406762075 57163344000 58131684800 60789133248 62283948000 63322013800 66488114490 69758021760 70920655456 72664606000 75986416560 79152517250 83045264000 87197527200 88650819320 94983020700 101315222080 106380983184 108996909000 110813524150 116263369600 118728775875 121578266496 124567896000 126644027600 132976228980 141841310912 145329212000 151972833120 158305034500 166220286225 174395054400 177301638640 189966041400 202630444160 212761966368 217993818000 221627048300 237457551750 249135792000 253288055200 265952457960 277033810375 283682621824 290658424000 303945666240 316610069000 332440572450 348790108800 354603277280 379932082800 425523932736 435987636000 443254096600 474915103500 506576110400 531904915920 554067620750 581316848000 607891332480 633220138000 664881144900 709206554560 759864165600 831101431125 851047865472 871975272000 886508193200 949830207000 1013152220800 1063809831840 1108135241500 1266440276000 1329762289800 1418413109120 1519728331200 1662202862250 1743950544000 1773016386400 1899660414000 2127619663680 2216270483000 2532880552000 2659524579600 3039456662400 3324405724500 3546032772800 3799320828000 4255239327360 4432540966000 5065761104000 5319049159200 6648811449000 7092065545600 7598641656000 8865081932000 10638098318400 13297622898000 15197283312000 17730163864000 21276196636800 26595245796000 35460327728000 53190491592000 106380983184000
- Sum of all divisors σ(n): 410006107929600
- Sum of proper divisors (its aliquot sum) s(n): 303625124745600
- 106380983184000 is an abundant number, because the sum of its proper divisors (303625124745600) is greater than itself. Its abundance is 197244141561600
Bases of 106380983184000
- Binary: 110000011000000110000001011011010101010100000002
- Hexadecimal: 0x60C0C0B6AA80
- Base-36: 11PIQYPMYO
Squares and roots of 106380983184000
- 106380983184000 squared (1063809831840002) is 11316913583194490777856000000
- 106380983184000 cubed (1063809831840003) is 1203904393588594308440542215573504000000000
-
The
square root of 106380983184000 is 10314115.7247725313 -
The
cube root of 106380983184000 is 47382.8668017827
Scales and comparisons
How big is 106380983184000?- 106,380,983,184,000 seconds is equal to 3,382,586 years, 10 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 106,380,983,184,000 would take you about eight million, four hundred fifty-six thousand, four hundred sixty-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 106380983184000 cubic inches would be around 3948.6 feet tall.
Recreational maths with 106380983184000
- 106380983184000 backwards is 000481389083601
- The number of decimal digits it has is: 15
- The sum of 106380983184000's digits is 51
- More coming soon!
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The information we have on file for 106380983184000 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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