41128606807344000
41,128,606,807,344,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 41128606807344000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
41128606807344000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 41128606807344000:
27 × 32 × 53 × 7 × 19 × 2147483647
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 19 × 2147483647)See below for interesting mathematical facts about the number 41128606807344000 from the Numbermatics database.
Names of 41128606807344000
- Cardinal: 41128606807344000 can be written as Forty-one quadrillion, one hundred twenty-eight trillion, six hundred six billion, eight hundred seven million, three hundred forty-four thousand.
Scientific notation
- Scientific notation: 4.1128606807344 × 1016
Factors of 41128606807344000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 2147483683
Divisors of 41128606807344000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 28 30 32 35 36 38 40 42 45 48 50 56 57 60 63 64 70 72 75 76 80 84 90 95 96 100 105 112 114 120 125 126 128 133 140 144 150 152 160 168 171 175 180 190 192 200 210 224 225 228 240 250 252 266 280 285 288 300 304 315 320 336 342 350 360 375 380 384 399 400 420 448 450 456 475 480 500 504 525 532 560 570 576 600 608 630 640 665 672 684 700 720 750 760 798 800 840 855 875 896 900 912 950 960 1000 1008 1050 1064 1120 1125 1140 1152 1197 1200 1216 1260 1330 1344 1368 1400 1425 1440 1500 1520 1575 1596 1600 1680 1710 1750 1800 1824 1900 1920 1995 2000 2016 2100 2128 2240 2250 2280 2375 2394 2400 2432 2520 2625 2660 2688 2736 2800 2850 2880 3000 3040 3150 3192 3200 3325 3360 3420 3500 3600 3648 3800 3990 4000 4032 4200 4256 4275 4480 4500 4560 4750 4788 4800 5040 5250 5320 5472 5600 5700 5760 5985 6000 6080 6300 6384 6650 6720 6840 7000 7125 7200 7296 7600 7875 7980 8000 8064 8400 8512 8550 9000 9120 9500 9576 9600 9975 10080 10500 10640 10944 11200 11400 11970 12000 12160 12600 12768 13300 13440 13680 14000 14250 14400 15200 15750 15960 16000 16625 16800 17024 17100 18000 18240 19000 19152 19950 20160 21000 21280 21375 21888 22400 22800 23940 24000 25200 25536 26600 27360 28000 28500 28800 29925 30400 31500 31920 33250 33600 34200 36000 36480 38000 38304 39900 40320 42000 42560 42750 45600 47880 48000 49875 50400 51072 53200 54720 56000 57000 59850 60800 63000 63840 66500 67200 68400 72000 76000 76608 79800 84000 85120 85500 91200 95760 99750 100800 106400 109440 112000 114000 119700 126000 127680 133000 136800 144000 149625 152000 153216 159600 168000 171000 182400 191520 199500 201600 212800 228000 239400 252000 255360 266000 273600 299250 304000 319200 336000 342000 383040 399000 425600 456000 478800 504000 532000 547200 598500 638400 684000 766080 798000 912000 957600 1008000 1064000 1197000 1276800 1368000 1596000 1915200 2128000 2394000 2736000 3192000 3830400 4788000 6384000 9576000 19152000 2147483647 4294967294 6442450941 8589934588 10737418235 12884901882 15032385529 17179869176 19327352823 21474836470 25769803764 30064771058 32212254705 34359738352 38654705646 40802189293 42949672940 45097156587 51539607528 53687091175 60129542116 64424509410 68719476704 75161927645 77309411292 81604378586 85899345880 90194313174 96636764115 103079215056 107374182350 120259084232 122406567879 128849018820 135291469761 137438953408 150323855290 154618822584 161061273525 163208757172 171798691760 180388626348 193273528230 204010946465 206158430112 214748364700 225485782935 240518168464 244813135758 257698037640 268435455875 270582939522 274877906816 285615325051 300647710580 309237645168 322122547050 326417514344 343597383520 360777252696 367219703637 375809638225 386547056460 408021892930 412316860224 429496729400 450971565870 481036336928 483183820575 489626271516 515396075280 536870911750 541165879044 571230650102 601295421160 612032839395 618475290336 644245094100 652835028688 676457348805 687194767040 721554505392 734439407274 751619276450 773094112920 805306367625 816043785860 824633720448 856845975153 858993458800 901943131740 962072673856 966367641150 979252543032 1020054732325 1030792150560 1073741823500 1082331758088 1127428914675 1142461300204 1202590842320 1224065678790 1236950580672 1288490188200 1305670057376 1352914697610 1374389534080 1428076625255 1443109010784 1468878814548 1503238552900 1546188225840 1610612735250 1632087571720 1713691950306 1717986917600 1803886263480 1836098518185 1879048191125 1924145347712 1932735282300 1958505086064 2040109464650 2061584301120 2147483647000 2164663516176 2254857829350 2284922600408 2405181684640 2415919102875 2448131357580 2473901161344 2570537925459 2576980376400 2611340114752 2705829395220 2856153250510 2886218021568 2937757629096 3006477105800 3060164196975 3092376451680 3221225470500 3264175143440 3382286744025 3427383900612 3435973835200 3607772526960 3672197036370 3758096382250 3865470564600 3917010172128 4080218929300 4123168602240 4284229875765 4294967294000 4329327032352 4509715658700 4569845200816 4810363369280 4831838205750 4896262715160 5100273661625 5141075850918 5153960752800 5222680229504 5411658790440 5637144573375 5712306501020 5772436043136 5875515258192 6012954211600 6120328393950 6184752903360 6442450941000 6528350286880 6764573488050 6854767801224 6871947670400 7140383126275 7215545053920 7344394072740 7516192764500 7730941129200 7834020344256 8160437858600 8568459751530 8589934588000 8658654064704 9019431317400 9139690401632 9180492590925 9620726738560 9663676411500 9792525430320 10200547323250 10282151701836 10307921505600 10823317580880 11274289146750 11424613002040 11751030516384 12025908423200 12240656787900 12369505806720 12852689627295 12884901882000 13056700573760 13529146976100 13709535602448 14280766252550 14431090107840 14688788145480 15032385529000 15300820984875 15461882258400 15668040688512 16320875717200 16911433720125 17136919503060 17179869176000 17317308129408 18038862634800 18279380803264 18360985181850 19327352823000 19585050860640 20401094646500 20564303403672 20615843011200 21421149378825 21646635161760 22548578293500 22849226004080 23502061032768 24051816846400 24481313575800 25705379254590 25769803764000 26113401147520 27058293952200 27419071204896 28561532505100 28862180215680 29377576290960 30064771058000 30601641969750 30923764516800 32641751434400 33822867440250 34273839006120 34359738352000 35701915631375 36077725269600 36558761606528 36721970363700 38654705646000 39170101721280 40802189293000 41128606807344 42842298757650 43293270323520 45097156587000 45698452008160 45902462954625 47004122065536 48103633692800 48962627151600 51410758509180 51539607528000 54116587904400 54838142409792 57123065010200 58755152581920 60129542116000 61203283939500 61847529033600 64263448136475 65283502868800 67645734880500 68547678012240 71403831262750 72155450539200 73443940727400 77309411292000 78340203442560 81604378586000 82257213614688 85684597515300 86586540647040 90194313174000 91396904016320 91804925909250 97925254303200 102821517018360 103079215056000 107105746894125 108233175808800 109676284819584 114246130020400 117510305163840 120259084232000 122406567879000 128526896272950 130567005737600 135291469761000 137095356024480 142807662525500 144310901078400 146887881454800 154618822584000 163208757172000 164514427229376 171369195030600 180388626348000 182793808032640 183609851818500 195850508606400 205643034036720 214211493788250 216466351617600 228492260040800 235020610327680 240518168464000 244813135758000 257053792545900 270582939522000 274190712048960 285615325051000 293775762909600 309237645168000 321317240682375 326417514344000 329028854458752 342738390061200 360777252696000 367219703637000 391701017212800 411286068073440 428422987576500 432932703235200 456984520081600 489626271516000 514107585091800 541165879044000 548381424097920 571230650102000 587551525819200 642634481364750 652835028688000 685476780122400 721554505392000 734439407274000 822572136146880 856845975153000 913969040163200 979252543032000 1028215170183600 1082331758088000 1142461300204000 1175103051638400 1285268962729500 1370953560244800 1468878814548000 1645144272293760 1713691950306000 1958505086064000 2056430340367200 2164663516176000 2284922600408000 2570537925459000 2741907120489600 2937757629096000 3427383900612000 4112860680734400 4569845200816000 5141075850918000 5875515258192000 6854767801224000 8225721361468800 10282151701836000 13709535602448000 20564303403672000 41128606807344000
- Sum of all divisors σ(n): 177687950996275200
- Sum of proper divisors (its aliquot sum) s(n): 136559344188931200
- 41128606807344000 is an abundant number, because the sum of its proper divisors (136559344188931200) is greater than itself. Its abundance is 95430737381587200
Bases of 41128606807344000
- Binary: 100100100001111000111111111111101101101111000011100000002
- Hexadecimal: 0x921E3FFEDBC380
- Base-36: B8YVH4NXLS0
Squares and roots of 41128606807344000
- 41128606807344000 squared (411286068073440002) is 1691562297913103216732334336000000
- 41128606807344000 cubed (411286068073440003) is 69571600640995316284673189775165348163584000000000
-
The
square root of 41128606807344000 is 202801890.5418388845 -
The
cube root of 41128606807344000 is 345181.8877274273
Scales and comparisons
How big is 41128606807344000?- 41,128,606,807,344,000 seconds is equal to 1,307,762,477 years, 17 weeks, 4 days, 16 hours.
-
To count from 1 to 41,128,606,807,344,000 would take you about three billion, nine hundred twenty-three million, two hundred eighty-seven thousand, four hundred thirty-two 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 41128606807344000 cubic inches would be around 28765.2 feet tall.
Recreational maths with 41128606807344000
- 41128606807344000 backwards is 00044370860682114
- The number of decimal digits it has is: 17
- The sum of 41128606807344000's digits is 54
- More coming soon!
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The information we have on file for 41128606807344000 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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