42697990947168000
42,697,990,947,168,000 is an even composite number composed of six prime numbers multiplied together.
42697990947168000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 42697990947168000:
28 × 32 × 53 × 172 × 149 × 1513
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 17 × 149 × 151 × 151 × 151)See below for interesting mathematical facts about the number 42697990947168000 from the Numbermatics database.
Names of 42697990947168000
- Cardinal: 42697990947168000 can be written as Forty-two quadrillion, six hundred ninety-seven trillion, nine hundred ninety billion, nine hundred forty-seven million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.2697990947168 × 1016
Factors of 42697990947168000
Divisors of 42697990947168000
- Number of divisors d(n): 2592
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 32 34 36 40 45 48 50 51 60 64 68 72 75 80 85 90 96 100 102 120 125 128 136 144 149 150 151 153 160 170 180 192 200 204 225 240 250 255 256 272 288 289 298 300 302 306 320 340 360 375 384 400 408 425 447 450 453 480 500 510 544 576 578 596 600 604 612 640 680 720 745 750 755 765 768 800 816 850 867 894 900 906 960 1000 1020 1088 1125 1152 1156 1192 1200 1208 1224 1275 1280 1341 1359 1360 1440 1445 1490 1500 1510 1530 1600 1632 1700 1734 1788 1800 1812 1920 2000 2040 2125 2176 2235 2250 2265 2304 2312 2384 2400 2416 2448 2533 2550 2567 2601 2682 2718 2720 2880 2890 2980 3000 3020 3060 3200 3264 3400 3468 3576 3600 3624 3725 3775 3825 3840 4000 4080 4250 4335 4352 4470 4500 4530 4624 4768 4800 4832 4896 5066 5100 5134 5202 5364 5436 5440 5760 5780 5960 6000 6040 6120 6375 6400 6528 6705 6795 6800 6936 7152 7200 7225 7248 7450 7550 7599 7650 7701 8000 8160 8500 8670 8940 9000 9060 9248 9536 9600 9664 9792 10132 10200 10268 10404 10728 10872 10880 11175 11325 11520 11560 11920 12000 12080 12240 12665 12750 12835 13005 13056 13410 13590 13600 13872 14304 14400 14450 14496 14900 15100 15198 15300 15402 16000 16320 17000 17340 17880 18000 18120 18496 18625 18875 19072 19125 19200 19328 19584 20264 20400 20536 20808 21456 21675 21744 21760 22350 22499 22650 22797 22801 23103 23120 23840 24000 24160 24480 25330 25500 25670 26010 26820 27180 27200 27744 28608 28800 28900 28992 29800 30200 30396 30600 30804 32000 32640 33525 33975 34000 34680 35760 36000 36125 36240 36992 37250 37750 37995 38144 38250 38505 38656 39168 40528 40800 41072 41616 42912 43061 43350 43488 43639 44700 44998 45300 45594 45602 46206 46240 47680 48000 48320 48960 50660 51000 51340 52020 53640 54360 54400 55488 55875 56625 57216 57600 57800 57984 59600 60400 60792 61200 61608 63325 64175 65025 65280 67050 67497 67950 68000 68403 69360 71520 72000 72250 72480 73984 74500 75500 75990 76500 77010 81056 81600 82144 83232 85824 86122 86700 86976 87278 89400 89996 90600 91188 91204 92412 92480 95360 96000 96640 97920 101320 102000 102680 104040 107280 108375 108720 108800 110976 111750 112495 113250 113985 114005 114432 115515 115600 115968 119200 120800 121584 122400 123216 126650 128350 129183 130050 130917 134100 134994 135900 136000 136806 138720 143040 144000 144500 144960 149000 151000 151980 153000 154020 162112 163200 164288 166464 167625 169875 171648 172244 173400 173952 174556 178800 179992 181200 182376 182408 184824 184960 189975 190720 192525 193280 195840 202491 202640 204000 205209 205360 208080 214560 215305 216750 217440 218195 221952 223500 224990 226500 227970 228010 231030 231200 238400 241600 243168 244800 246432 253300 256700 258366 260100 261834 268200 269988 271800 272000 273612 277440 286080 288000 289000 289920 298000 302000 303960 306000 308040 316625 320875 324224 325125 326400 328576 332928 335250 337485 339750 342015 343296 344488 346800 347904 349112 357600 359984 362400 364752 364816 369648 369920 379950 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593027652044 597007703400 615599638800 624212256000 627911631576 628373671040 632590944000 636808216960 654074616225 656639614720 665336828160 674267523840 693059196000 697679590640 702362004000 706920379920 716409244080 736375395750 738719566560 741284565055 746259629250 754048405248 764169860352 769499548500 784889539470 785467088800 796010271200 820799518400 831671035200 837215508768 842834404800 872099488300 883650474900 889541478066 895511555100 923399458200 924078928000 936318384000 936482672000 942560506560 948886416000 955212325440 978436512000 981833861000 984959422080 991569888000 995012839000 1025999398000 1039588794000 1046519385960 1053543006000 1090124360375 1104563093625 1108894713600 1116287345024 1119389443875 1123779206400 1131072607872 1146254790528 1154249322750 1178200633200 1181951306496 1186055304088 1194015406800 1231199277600 1255823263152 1256747342080 1273616433920 1308149232450 1334312217099 1386118392000 1395359181280 1404724008000 1413840759840 1432818488160 1472750791500 1477439133120 1482569130110 1492519258500 1538999097000 1569779078940 1570934177600 1592020542400 1641599036800 1663342070400 1674431017536 1685668809600 1744198976600 1767300949800 1779082956132 1791023110200 1846798916400 1848157856000 1872636768000 1872965344000 1885121013120 1897772832000 1910424650880 1962223848675 1963667722000 1969918844160 1990025678000 2051998796000 2079177588000 2093038771920 2107086012000 2180248720750 2209126187250 2223853695165 2232574690048 2238778887750 2262145215744 2292509581056 2308498645500 2356401266400 2372110608176 2388030813600 2462398555200 2511646526304 2616298464900 2668624434198 2772236784000 2790718362560 2809448016000 2827681519680 2865636976320 2945501583000 2954878266240 2965138260220 2985038517000 3077998194000 3139558157880 3141868355200 3184041084800 3270373081125 3283198073600 3326684140800 3348862035072 3371337619200 3488397953200 3534601899600 3558165912264 3582046220400 3693597832800 3706422825275 3770242026240 3820849301760 3924447697350 3927335444000 3980051356000 4103997592000 4158355176000 4186077543840 4214172024000 4360497441500 4418252374500 4447707390330 4477557775500 4616997291000 4712802532800 4744221216352 4776061627200 4924797110400 5023293052608 5232596929800 5337248868396 5544473568000 5581436725120 5618896032000 5655363039360 5731273952640 5891003166000 5909756532480 5930276520440 5970077034000 6155996388000 6279116315760 6283736710400 6368082169600 6540746162250 6671561085495 6697724070144 6976795906400 7069203799200 7116331824528 7164092440800 7387195665600 7412845650550 7848895394700 7854670888000 7960102712000 8207995184000 8316710352000 8372155087680 8428344048000 8720994883000 8836504749000 8895414780660 8955115551000 9233994582000 9425605065600 9488442432704 9552123254400 9811119243375 9849594220800 10046586105216 10465193859600 10674497736792 11119268475825 11162873450240 11310726078720 11462547905280 11782006332000 11860553040880 11940154068000 12311992776000 12558232631520 13081492324500 13343122170990 13953591812800 14138407598400 14232663649056 14328184881600 14774391331200 14825691301100 15697790789400 15709341776000 15920205424000 16415990368000 16633420704000 16744310175360 16856688096000 17441989766000 17673009498000 17790829561320 17910231102000 18467989164000 18532114126375 18851210131200 18976884865408 19104246508800 19622238486750 20093172210432 20930387719200 21348995473584 22238536951650 23564012664000 23721106081760 23880308136000 24623985552000 25116465263040 26162984649000 26686244341980 27907183625600 28276815196800 28465327298112 28656369763200 29548782662400 29651382602200 31395581578800 31418683552000 31840410848000 33357805427475 33488620350720 34883979532000 35346018996000 35581659122640 35820462204000 36935978328000 37064228252750 37953769730816 39244476973500 41860775438400 42697990947168 44477073903300 47128025328000 47442212163520 47760616272000 49247971104000 50232930526080 52325969298000 53372488683960 55596342379125 55814367251200 56553630393600 56930654596224 57312739526400 59302765204400 62791163157600 66715610854950 69767959064000 70692037992000 71163318245280 71640924408000 73871956656000 74128456505500 78488953947000 83721550876800 85395981894336 88954147806600 94256050656000 94884424327040 95521232544000 100465861052160 104651938596000 106744977367920 111192684758250 113861309192448 118605530408800 125582326315200 133431221709900 139535918128000 141384075984000 142326636490560 143281848816000 147743913312000 148256913011000 156977907894000 166789027137375 167443101753600 170791963788672 177908295613200 189768848654080 209303877192000 213489954735840 222385369516500 237211060817600 251164652630400 266862443419800 279071836256000 282768151968000 284653272981120 286563697632000 296513826022000 313955815788000 333578054274750 341583927577344 355816591226400 418607754384000 426979909471680 444770739033000 474422121635200 502329305260800 533724886839600 569306545962240 593027652044000 627911631576000 667156108549500 711633182452800 837215508768000 853959818943360 889541478066000 948844243270400 1067449773679200 1186055304088000 1255823263152000 1334312217099000 1423266364905600 1707919637886720 1779082956132000 2134899547358400 2372110608176000 2511646526304000 2668624434198000 2846532729811200 3558165912264000 4269799094716800 4744221216352000 5337248868396000 7116331824528000 8539598189433600 10674497736792000 14232663649056000 21348995473584000 42697990947168000
- Sum of all divisors σ(n): 165399813153993600
- Sum of proper divisors (its aliquot sum) s(n): 122701822206825600
- 42697990947168000 is an abundant number, because the sum of its proper divisors (122701822206825600) is greater than itself. Its abundance is 80003831259657600
Bases of 42697990947168000
- Binary: 100101111011000110011000101101110000011101011111000000002
- Hexadecimal: 0x97B198B7075F00
- Base-36: BOF6A90HJ40
Squares and roots of 42697990947168000
- 42697990947168000 squared (426979909471680002) is 1823118430924440481767220224000000
- 42697990947168000 cubed (426979909471680003) is 77843494259226888427932393686644205125632000000000
-
The
square root of 42697990947168000 is 206634921.8964887357 -
The
cube root of 42697990947168000 is 349517.6783496309
Scales and comparisons
How big is 42697990947168000?- 42,697,990,947,168,000 seconds is equal to 1,357,664,038 years, 29 weeks, 1 day, 16 hours.
-
To count from 1 to 42,697,990,947,168,000 would take you about four billion, seventy-two million, nine hundred ninety-two thousand, one hundred fifteen 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 42697990947168000 cubic inches would be around 29126.5 feet tall.
Recreational maths with 42697990947168000
- 42697990947168000 backwards is 00086174909979624
- The number of decimal digits it has is: 17
- The sum of 42697990947168000's digits is 81
- More coming soon!
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"Number 42697990947168000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 42697990947168000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/42697990947168000/
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The information we have on file for 42697990947168000 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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