1348041141296640
1,348,041,141,296,640 is an even composite number composed of seven prime numbers multiplied together.
What does the number 1348041141296640 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
1348041141296640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 1348041141296640:
29 × 32 × 5 × 7 × 71 × 829 × 142007
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 71 × 829 × 142007)See below for interesting mathematical facts about the number 1348041141296640 from the Numbermatics database.
Names of 1348041141296640
- Cardinal: 1348041141296640 can be written as One quadrillion, three hundred forty-eight trillion, forty-one billion, one hundred forty-one million, two hundred ninety-six thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.34804114129664 × 1015
Factors of 1348041141296640
Divisors of 1348041141296640
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 64 70 71 72 80 84 90 96 105 112 120 126 128 140 142 144 160 168 180 192 210 213 224 240 252 256 280 284 288 315 320 336 355 360 384 420 426 448 480 497 504 512 560 568 576 630 639 640 672 710 720 768 829 840 852 896 960 994 1008 1065 1120 1136 1152 1260 1278 1280 1344 1420 1440 1491 1536 1658 1680 1704 1792 1920 1988 2016 2130 2240 2272 2304 2485 2487 2520 2556 2560 2688 2840 2880 2982 3195 3316 3360 3408 3584 3840 3976 4032 4145 4260 4473 4480 4544 4608 4970 4974 5040 5112 5376 5680 5760 5803 5964 6390 6632 6720 6816 7455 7461 7680 7952 8064 8290 8520 8946 8960 9088 9940 9948 10080 10224 10752 11360 11520 11606 11928 12435 12780 13264 13440 13632 14910 14922 15904 16128 16580 17040 17409 17892 17920 18176 19880 19896 20160 20448 22365 22720 23040 23212 23856 24870 25560 26528 26880 27264 29015 29820 29844 31808 32256 33160 34080 34818 35784 36352 37305 39760 39792 40320 40896 44730 45440 46424 47712 49740 51120 52227 53056 53760 54528 58030 58859 59640 59688 63616 66320 68160 69636 71568 74610 79520 79584 80640 81792 87045 89460 90880 92848 95424 99480 102240 104454 106112 109056 116060 117718 119280 119376 127232 132640 136320 139272 142007 143136 149220 159040 159168 161280 163584 174090 176577 178920 181760 185696 190848 198960 204480 208908 212224 232120 235436 238560 238752 254464 261135 265280 272640 278544 284014 286272 294295 298440 318080 318336 327168 348180 353154 357840 371392 381696 397920 408960 412013 417816 424448 426021 464240 470872 477120 477504 522270 529731 530560 545280 557088 568028 572544 588590 596880 636160 636672 696360 706308 710035 715680 742784 763392 795840 817920 824026 835632 852042 882885 928480 941744 954240 955008 994049 1044540 1059462 1061120 1114176 1136056 1145088 1177180 1193760 1236039 1272320 1273344 1278063 1392720 1412616 1420070 1431360 1485568 1591680 1635840 1648052 1671264 1704084 1765770 1856960 1883488 1908480 1910016 1988098 2060065 2089080 2118924 2122240 2130105 2228352 2272112 2290176 2354360 2387520 2472078 2556126 2648655 2785440 2825232 2840140 2862720 2971136 2982147 3183360 3296104 3342528 3408168 3531540 3708117 3713920 3766976 3816960 3820032 3976196 4120130 4178160 4237848 4260210 4456704 4544224 4708720 4775040 4944156 4970245 5112252 5297310 5570880 5650464 5680280 5725440 5964294 6180195 6366720 6390315 6592208 6685056 6816336 7063080 7416234 7427840 7533952 7952392 8240260 8356320 8475696 8520420 8913408 8946441 9088448 9417440 9550080 9888312 9940490 10082497 10224504 10594620 11141760 11300928 11360560 11450880 11928588 12360390 12780630 13184416 13370112 13632672 14126160 14832468 14855680 14910735 15067904 15904784 16480520 16712640 16951392 17040840 17892882 18176896 18540585 18834880 19100160 19776624 19880980 20164994 20449008 21189240 22283520 22601856 22721120 23857176 24720780 25561260 26368832 26740224 27265344 28252320 29664936 29821470 30135808 30247491 31809568 32961040 33425280 33902784 34081680 35785764 36353792 37081170 37669760 39553248 39761960 40329988 40898016 42378480 44567040 44732205 45203712 45442240 47714352 49441560 50412485 51122520 52737664 54530688 56504640 59329872 59642940 60494982 63619136 65922080 66850560 67805568 68163360 70577479 71571528 72707584 74162340 75339520 79106496 79523920 80659976 81796032 84756960 89464410 90407424 90742473 90884480 95428704 98883120 100824970 102245040 105475328 109061376 113009280 117723803 118659744 119285880 120989964 127238272 131844160 133701120 135611136 136326720 141154958 143143056 148324680 150679040 151237455 158212992 159047840 161319952 163592064 169513920 178928820 181484946 181768960 190857408 197766240 201649940 204490080 210950656 211732437 218122752 226018560 235447606 237319488 238571760 241979928 254476544 263688320 271222272 272653440 282309916 286286112 296649360 302474910 316425984 318095680 322639904 327184128 339027840 352887395 353171409 357857640 362969892 363537920 381714816 395532480 403299880 408980160 423464874 452037120 453712365 470895212 474638976 477143520 483959856 508953088 527376640 545306880 564619832 572572224 588619015 593298720 604949820 632851968 635197311 636191360 645279808 654368256 678055680 705774790 706342818 715715280 725939784 763429632 791064960 806599760 817960320 824066621 846929748 907424730 941790424 949277952 954287040 967919712 1054753280 1058662185 1059514227 1090613760 1129239664 1145144448 1177238030 1186597440 1209899640 1270394622 1272382720 1290559616 1356111360 1411549580 1412685636 1431430560 1451879568 1526859264 1582129920 1613199520 1635920640 1648133242 1693859496 1765857045 1814849460 1883580848 1898555904 1908574080 1935839424 2117324370 2119028454 2258479328 2290288896 2354476060 2373194880 2419799280 2472199863 2540789244 2544765440 2581119232 2823099160 2825371272 2862861120 2903759136 3164259840 3175986555 3226399040 3271841280 3296266484 3387718992 3531714090 3629698920 3767161696 3817148160 3871678848 4120333105 4234648740 4238056908 4516958656 4580577792 4708952120 4746389760 4839598560 4944399726 5081578488 5162238464 5297571135 5646198320 5650742544 5725722240 5807518272 6351973110 6452798080 6592532968 6775437984 7063428180 7259397840 7416599589 7534323392 7634296320 7743357696 8240666210 8358390013 8469297480 8476113816 9033917312 9417904240 9492779520 9679197120 9888799452 10163156976 10595142270 11292396640 11301485088 11451444480 11615036544 12360999315 12703946220 12905596160 13185065936 13550875968 14126856360 14518795680 14833199178 15068646784 15486715392 16481332420 16716780026 16938594960 16952227632 18067834624 18835808480 19358394240 19777598904 20326313952 21190284540 22584793280 22602970176 22902888960 23230073088 24721998630 25075170039 25407892440 25811192320 26370131872 27101751936 28253712720 29037591360 29666398356 30137293568 32962664840 33433560052 33877189920 33904455264 36135669248 37082997945 37671616960 38716788480 39555197808 40652627904 41791950065 42380569080 45169586560 45205940352 46460146176 49443997260 50150340078 50815784880 52740263744 54203503872 56507425440 58075182720 58508730091 59332796712 60274587136 65925329680 66867120104 67754379840 67808910528 74165995890 75225510117 75343233920 77433576960 79110395616 81305255808 83583900130 84761138160 90339173120 90411880704 98887994520 100300680156 101631569760 105480527488 108407007744 113014850880 116150365440 117017460182 118665593424 125375850195 131850659360 133734240208 135508759680 135617821056 148331991780 150451020234 150686467840 158220791232 162610511616 167167800260 169522276320 175526190273 180678346240 180823761408 197775989040 200601360312 203263139520 210961054976 226029701760 232300730880 234034920364 237331186848 250751700390 263701318720 267468480416 271017519360 271235642112 292543650455 296663983560 300902040468 301372935680 316441582464 325221023232 334335600520 339044552640 351052380546 376127550585 395551978080 401202720624 406526279040 421922109952 452059403520 468069840728 474662373696 501503400780 526578570819 527402637440 534936960832 542035038720 542471284224 585087300910 593327967120 601804080936 632883164928 668671201040 678089105280 702104761092 752255101170 791103956160 802405441248 813052558080 877630951365 904118807040 936139681456 949324747392 1003006801560 1053157141638 1054805274880 1069873921664 1170174601820 1186655934240 1203608161872 1265766329856 1337342402080 1356178210560 1404209522184 1504510202340 1582207912320 1604810882496 1626105116160 1755261902730 1872279362912 1898649494784 2006013603120 2106314283276 2109610549760 2139747843328 2340349203640 2373311868480 2407216323744 2632892854095 2674684804160 2712356421120 2808419044368 3009020404680 3164415824640 3209621764992 3510523805460 3744558725824 3797298989568 4012027206240 4212628566552 4279495686656 4680698407280 4746623736960 4814432647488 5265785708190 5349369608320 5616838088736 6018040809360 6328831649280 6419243529984 7021047610920 7489117451648 8024054412480 8425257133104 9361396814560 9493247473920 9628865294976 10531571416380 10698739216640 11233676177472 12036081618720 12838487059968 14042095221840 14978234903296 16048108824960 16850514266208 18722793629120 18986494947840 19257730589952 21063142832760 21397478433280 22467352354944 24072163237440 28084190443680 29956469806592 32096217649920 33701028532416 37445587258240 38515461179904 42126285665520 44934704709888 48144326474880 56168380887360 64192435299840 67402057064832 74891174516480 84252571331040 89869409419776 96288652949760 112336761774720 134804114129664 149782349032960 168505142662080 192577305899520 224673523549440 269608228259328 337010285324160 449347047098880 674020570648320 1348041141296640
- Sum of all divisors σ(n): 5417309187164160
- Sum of proper divisors (its aliquot sum) s(n): 4069268045867520
- 1348041141296640 is an abundant number, because the sum of its proper divisors (4069268045867520) is greater than itself. Its abundance is 2721226904570880
Bases of 1348041141296640
- Binary: 1001100101000001001010010010101111010011110000000002
- Hexadecimal: 0x4CA09495E9E00
- Base-36: D9U9JU4XS0
Squares and roots of 1348041141296640
- 1348041141296640 squared (13480411412966402) is 1817214918628347729220475289600
- 1348041141296640 cubed (13480411412966403) is 2449680472889038661305041620350651223506944000
-
The
square root of 1348041141296640 is 36715679.7744048313 -
The
cube root of 1348041141296640 is 110467.4635490221
Scales and comparisons
How big is 1348041141296640?- 1,348,041,141,296,640 seconds is equal to 42,863,538 years, 27 weeks, 3 days, 6 hours, 24 minutes.
-
To count from 1 to 1,348,041,141,296,640 would take you about one hundred twenty-eight million, five hundred ninety thousand, six 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 1348041141296640 cubic inches would be around 9205.6 feet tall.
Recreational maths with 1348041141296640
- 1348041141296640 backwards is 0466921411408431
- The number of decimal digits it has is: 16
- The sum of 1348041141296640's digits is 54
- More coming soon!
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The information we have on file for 1348041141296640 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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