42948614044128000
42,948,614,044,128,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42948614044128000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2592 divisors.
42948614044128000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 42948614044128000:
28 × 3 × 53 × 132 × 37 × 41 × 13212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 37 × 41 × 1321 × 1321)See below for interesting mathematical facts about the number 42948614044128000 from the Numbermatics database.
Names of 42948614044128000
- Cardinal: 42948614044128000 can be written as Forty-two quadrillion, nine hundred forty-eight trillion, six hundred fourteen billion, forty-four million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.2948614044128 × 1016
Factors of 42948614044128000
Divisors of 42948614044128000
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 37 39 40 41 48 50 52 60 64 65 74 75 78 80 82 96 100 104 111 120 123 125 128 130 148 150 156 160 164 169 185 192 195 200 205 208 222 240 246 250 256 260 296 300 312 320 325 328 338 370 375 384 390 400 410 416 444 480 481 492 500 507 520 533 555 592 600 615 624 640 650 656 676 740 750 768 780 800 820 832 845 888 925 960 962 975 984 1000 1014 1025 1040 1066 1110 1184 1200 1230 1248 1280 1300 1312 1321 1352 1443 1480 1500 1517 1560 1599 1600 1625 1640 1664 1690 1776 1850 1920 1924 1950 1968 2000 2028 2050 2080 2132 2220 2368 2400 2405 2460 2496 2535 2600 2624 2642 2665 2704 2775 2886 2960 3000 3034 3075 3120 3198 3200 3250 3280 3328 3380 3552 3700 3840 3848 3900 3936 3963 4000 4056 4100 4160 4225 4264 4440 4551 4625 4736 4800 4810 4875 4920 4992 5070 5125 5200 5248 5284 5330 5408 5550 5772 5920 6000 6068 6150 6240 6253 6396 6400 6500 6560 6605 6760 6929 7104 7215 7400 7585 7696 7800 7872 7926 7995 8000 8112 8200 8320 8450 8528 8880 9102 9250 9472 9600 9620 9750 9840 9984 10140 10250 10400 10496 10568 10660 10816 11100 11544 11840 12000 12025 12136 12300 12480 12506 12675 12792 13000 13120 13210 13325 13520 13858 13875 14208 14430 14800 15170 15375 15392 15600 15744 15852 15990 16000 16224 16400 16640 16900 17056 17173 17760 18204 18500 18759 19200 19240 19500 19680 19721 19815 20280 20500 20787 20800 21125 21136 21320 21632 22200 22755 23088 23680 24000 24050 24272 24600 24960 25012 25350 25584 26000 26240 26420 26650 27040 27716 27750 28416 28860 29600 30340 30750 30784 31200 31265 31488 31704 31980 32000 32448 32800 33025 33800 34112 34346 34645 35520 36075 36408 37000 37518 37925 38480 39000 39360 39442 39630 39975 40560 41000 41574 41600 42250 42272 42640 43264 44400 45510 46176 47360 48000 48100 48544 48877 49200 49920 50024 50700 51168 51519 52000 52480 52840 53300 54080 54161 55432 55500 57720 59163 59200 60125 60680 61500 61568 62400 62530 63375 63408 63960 64896 65600 66050 66625 67600 68224 68692 69290 71040 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792980448000 794168159100 805790132160 812804959200 818380602975 825934885464 833646112000 839364721000 847112703040 858560172000 860348839025 872939309840 878708064000 884735787000 892902578880 894762792586 906854181675 930106853000 943718172800 967311127120 992710198875 1007237665200 1016006199000 1016535243648 1032418606830 1033064272000 1047527171808 1058890878800 1074386842880 1083739945600 1088905584000 1091174137300 1101246513952 1116128223600 1132461807360 1144746896000 1160773352544 1179647716000 1190536771840 1209138908900 1239677126400 1250469168000 1259047081500 1270669054560 1300487934720 1309408964760 1323613598500 1342144188879 1342983553600 1354674932000 1363967671625 1373696275200 1376558142440 1395160279500 1396702895744 1415577259200 1450966690680 1488170964800 1511423636125 1547697803392 1549596408000 1588336318200 1611580264320 1625609918400 1636761205950 1651869770928 1678729442000 1694225406080 1717120344000 1720697678050 1745878619680 1769471574000 1785805157760 1789525585172 1813708363350 1860213706000 1887436345600 1934622254240 1985420397750 2014475330400 2032012398000 2033070487296 2064837213660 2066128544000 2095054343616 2117781757600 2167479891200 2177811168000 2182348274600 2202493027904 2232256447200 2236906981465 2289493792000 2321546705088 2359295432000 2418277817800 2500938336000 2518094163000 2541338109120 2581046517075 2618817929520 2647227197000 2684288377758 2685967107200 2709349864000 2727935343250 2753116284880 2790320559000 2793405791488 2831154518400 2901933381360 2976341929600 3022847272250 3095395606784 3099192816000 3176672636400 3223160528640 3251219836800 3273522411900 3303739541856 3357458884000 3388450812160 3434240688000 3441395356100 3491757239360 3538943148000 3571610315520 3579051170344 3627416726700 3720427412000 3869244508480 3970840795500 4028950660800 4064024796000 4091903014875 4129674427320 4190108687232 4235563515200 4301744195125 4364696549200 4404986055808 4464512894400 4473813962930 4534270908375 4643093410176 4718590864000 4836555635600 5036188326000 5082676218240 5162093034150 5237635859040 5294454394000 5368576755516 5371934214400 5418699728000 5455870686500 5506232569760 5580641118000 5662309036800 5803866762720 5952683859200 6045694544500 6198385632000 6353345272800 6502439673600 6547044823800 6607479083712 6710720944395 6714917768000 6868481376000 6882790712200 6983514478720 7077886296000 7158102340688 7254833453400 7440854824000 7738489016960 7941681591000 8057901321600 8128049592000 8183806029750 8259348854640 8380217374464 8471127030400 8603488390250 8729393098400 8809972111616 8929025788800 8947627925860 9068541816750 9286186820352 9437181728000 9673111271200 10072376652000 10165352436480 10324186068300 10475271718080 10588908788000 10737153511032 10837399456000 10911741373000 11012465139520 11161282236000 11184534907325 11607733525440 12091389089000 12706690545600 12905232585375 13094089647600 13214958167424 13421441888790 13429835536000 13765581424400 13967028957440 14155772592000 14316204681376 14509666906800 14881709648000 15476978033920 15883363182000 16115802643200 16256099184000 16367612059500 16518697709280 16942254060800 17206976780500 17458786196800 17858051577600 17895255851720 18137083633500 19346222542400 20144753304000 20648372136600 20950543436160 21177817576000 21474307022064 21823482746000 22024930279040 22322564472000 22369069814650 23215467050880 24182778178000 25413381091200 25810465170750 26188179295200 26429916334848 26842883777580 26859671072000 27531162848800 28311545184000 28632409362752 29019333813600 29763419296000 31766726364000 32512198368000 32735224119000 33037395418560 33553604721975 34413953561000 34917572393600 35790511703440 36274167267000 38692445084800 40289506608000 41296744273200 41901086872320 42355635152000 42948614044128 43646965492000 44049860558080 44645128944000 44738139629300 46430934101760 48365556356000 50826762182400 51620930341500 52376358590400 53685767555160 55062325697600 55922674536625 57264818725504 58038667627200 63533452728000 65470448238000 66074790837120 67107209443950 68827907122000 69835144787200 71581023406880 72548334534000 77384890169600 80579013216000 82593488546400 84711270304000 85897228088256 87293930984000 89290257888000 89476279258600 96731112712000 103241860683000 104752717180800 107371535110320 110124651395200 111845349073250 114529637451008 116077335254400 127066905456000 130940896476000 132149581674240 134214418887900 137655814244000 143162046813760 145096669068000 165186977092800 167768023609875 171794456176512 174587861968000 178952558517200 193462225424000 206483721366000 209505434361600 214743070220640 220249302790400 223690698146500 232154670508800 254133810912000 261881792952000 268428837775800 275311628488000 286324093627520 290193338136000 330373954185600 335536047219750 343588912353024 349175723936000 357905117034400 386924450848000 412967442732000 429486140441280 447381396293000 523763585904000 536857675551600 550623256976000 572648187255040 580386676272000 660747908371200 671072094439500 715810234068800 825934885464000 858972280882560 894762792586000 1047527171808000 1073715351103200 1101246513952000 1160773352544000 1342144188879000 1431620468137600 1651869770928000 1717944561765120 1789525585172000 2147430702206400 2684288377758000 2863240936275200 3303739541856000 3579051170344000 4294861404412800 5368576755516000 7158102340688000 8589722808825600 10737153511032000 14316204681376000 21474307022064000 42948614044128000
- Sum of all divisors σ(n): 162638735112374976
- Sum of proper divisors (its aliquot sum) s(n): 119690121068246976
- 42948614044128000 is an abundant number, because the sum of its proper divisors (119690121068246976) is greater than itself. Its abundance is 76741507024118976
Bases of 42948614044128000
- Binary: 100110001001010110001001011100111011001000010011000000002
- Hexadecimal: 0x98958973B21300
- Base-36: BQW0GWTIQDC
Squares and roots of 42948614044128000
- 42948614044128000 squared (429486140441280002) is 1844583448311468879131280384000000
- 42948614044128000 cubed (429486140441280003) is 79222302593716007069910515236492916785152000000000
-
The
square root of 42948614044128000 is 207240473.9526717063 -
The
cube root of 42948614044128000 is 350200.1957927383
Scales and comparisons
How big is 42948614044128000?- 42,948,614,044,128,000 seconds is equal to 1,365,633,077 years, 42 weeks, 3 days, 13 hours, 20 minutes.
-
To count from 1 to 42,948,614,044,128,000 would take you about four billion, ninety-six million, eight hundred ninety-nine thousand, two hundred thirty-three 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 42948614044128000 cubic inches would be around 29183.3 feet tall.
Recreational maths with 42948614044128000
- 42948614044128000 backwards is 00082144041684924
- The number of decimal digits it has is: 17
- The sum of 42948614044128000's digits is 57
- More coming soon!
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Cite this page
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"Number 42948614044128000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 42948614044128000 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/42948614044128000/
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The information we have on file for 42948614044128000 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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