134942742681600
134,942,742,681,600 is an even composite number composed of seven prime numbers multiplied together.
What does the number 134942742681600 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
134942742681600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 134942742681600:
211 × 3 × 52 × 7 × 71 × 1237 × 1429
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 71 × 1237 × 1429)See below for interesting mathematical facts about the number 134942742681600 from the Numbermatics database.
Names of 134942742681600
- Cardinal: 134942742681600 can be written as One hundred thirty-four trillion, nine hundred forty-two billion, seven hundred forty-two million, six hundred eighty-one thousand, six hundred.
Scientific notation
- Scientific notation: 1.349427426816 × 1014
Factors of 134942742681600
Divisors of 134942742681600
- Number of divisors d(n): 1152
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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 64 70 71 75 80 84 96 100 105 112 120 128 140 142 150 160 168 175 192 200 210 213 224 240 256 280 284 300 320 336 350 355 384 400 420 426 448 480 497 512 525 560 568 600 640 672 700 710 768 800 840 852 896 960 994 1024 1050 1065 1120 1136 1200 1237 1280 1344 1400 1420 1429 1491 1536 1600 1680 1704 1775 1792 1920 1988 2048 2100 2130 2240 2272 2400 2474 2485 2560 2688 2800 2840 2858 2982 3072 3200 3360 3408 3550 3584 3711 3840 3976 4200 4260 4287 4480 4544 4800 4948 4970 5120 5325 5376 5600 5680 5716 5964 6144 6185 6400 6720 6816 7100 7145 7168 7422 7455 7680 7952 8400 8520 8574 8659 8960 9088 9600 9896 9940 10003 10240 10650 10752 11200 11360 11432 11928 12370 12425 12800 13440 13632 14200 14290 14336 14844 14910 15360 15904 16800 17040 17148 17318 17920 18176 18555 19200 19792 19880 20006 21300 21435 21504 22400 22720 22864 23856 24740 24850 25600 25977 26880 27264 28400 28580 29688 29820 30009 30720 30925 31808 33600 34080 34296 34636 35725 35840 36352 37110 37275 38400 39584 39760 40012 42600 42870 43008 43295 44800 45440 45728 47712 49480 49700 50015 51200 51954 53760 54528 56800 57160 59376 59640 60018 61850 63616 67200 68160 68592 69272 71450 71680 72704 74220 74550 76800 79168 79520 80024 85200 85740 86590 87827 89600 90880 91456 92775 95424 98960 99400 100030 101459 103908 107175 107520 109056 113600 114320 118752 119280 120036 123700 127232 129885 134400 136320 137184 138544 142900 145408 148440 149100 150045 153600 158336 159040 160048 170400 171480 173180 175654 179200 181760 182912 185550 190848 197920 198800 200060 202918 207816 214350 215040 216475 218112 227200 228640 237504 238560 240072 247400 250075 254464 259770 263481 268800 272640 274368 277088 285800 296880 298200 300090 304377 316672 318080 320096 340800 342960 346360 351308 358400 363520 365824 371100 381696 395840 397600 400120 405836 415632 428700 432950 436224 439135 454400 457280 475008 477120 480144 494800 500150 507295 508928 519540 526962 537600 545280 548736 554176 571600 593760 596400 600180 608754 614789 633344 636160 640192 649425 681600 685920 692720 702616 710213 727040 731648 742200 750225 763392 791680 795200 800240 811672 831264 857400 865900 878270 908800 914560 950016 954240 960288 989600 1000300 1014590 1017856 1039080 1053924 1075200 1090560 1097472 1108352 1143200 1187520 1192800 1200360 1217508 1229578 1266688 1272320 1280384 1298850 1317405 1363200 1371840 1385440 1405232 1420426 1463296 1484400 1500450 1521885 1526784 1583360 1590400 1600480 1623344 1662528 1714800 1731800 1756540 1767673 1817600 1829120 1844367 1900032 1908480 1920576 1979200 2000600 2029180 2078160 2107848 2130639 2181120 2194944 2195675 2216704 2286400 2375040 2385600 2400720 2435016 2459156 2533376 2536475 2544640 2560768 2597700 2634810 2726400 2743680 2770880 2810464 2840852 2926592 2968800 3000900 3043770 3053568 3073945 3166720 3180800 3200960 3246688 3325056 3429600 3463600 3513080 3535346 3551065 3635200 3658240 3688734 3800064 3816960 3841152 3958400 4001200 4058360 4156320 4215696 4261278 4389888 4391350 4433408 4572800 4750080 4771200 4801440 4870032 4918312 5072950 5089280 5121536 5195400 5269620 5303019 5452800 5487360 5541760 5620928 5681704 5937600 6001800 6087540 6147890 6333440 6361600 6401920 6493376 6587025 6650112 6859200 6927200 7026160 7070692 7102130 7316480 7377468 7600128 7609425 7633920 7682304 7916800 8002400 8116720 8312640 8431392 8522556 8779776 8782700 8838365 8866816 9145600 9221835 9500160 9542400 9602880 9740064 9836624 10145900 10243072 10390800 10539240 10606038 10653195 10905600 10974720 11083520 11241856 11363408 11875200 12003600 12175080 12295780 12373711 12666880 12723200 12803840 12986752 13174050 13300224 13718400 13854400 14052320 14141384 14204260 14632960 14754936 15218850 15267840 15364608 15369725 15833600 16004800 16233440 16625280 16862784 17045112 17565400 17676730 17733632 17755325 18291200 18443670 19000320 19084800 19205760 19480128 19673248 20291800 20486144 20781600 21078480 21212076 21306390 21949440 22167040 22483712 22726816 23750400 24007200 24350160 24591560 24747422 25446400 25607680 25973504 26348100 26515095 26600448 27436800 27708800 28104640 28282768 28408520 29509872 30437700 30729216 30739450 31667200 32009600 32466880 33250560 33725568 34090224 35130800 35353460 35510650 36582400 36887340 37121133 38000640 38169600 38411520 38960256 39346496 40583600 41563200 42156960 42424152 42612780 43898880 44191825 44334080 44967424 45453632 46109175 47500800 48014400 48700320 49183120 49494844 51215360 51947008 52696200 53030190 53200896 53265975 54873600 55417600 56209280 56565536 56817040 59019744 60875400 61458432 61478900 61868555 63334400 64019200 64933760 66501120 67451136 68180448 70261600 70706920 71021300 73164800 73774680 74242266 76339200 76823040 77920512 78692992 81167200 83126400 84313920 84848304 85225560 88383650 88668160 89934848 90907264 92218350 95001600 96028800 97400640 98366240 98989688 102430720 103894016 105392400 106060380 106531950 109747200 110835200 112418560 113131072 113634080 118039488 121750800 122957800 123737110 125504783 128038400 129867520 132575475 133002240 134902272 136360896 140523200 141413840 142042600 147549360 148484532 153646080 155841024 157385984 162334400 166252800 168627840 169696608 170451120 176767300 179869696 181814528 184436700 185605665 190003200 192057600 194801280 196732480 197979376 207788032 210784800 212120760 213063900 219494400 221670400 224837120 226262144 227268160 236078976 243501600 245915600 247474220 251009566 256076800 259735040 265150950 266004480 269804544 272721792 281046400 282827680 284085200 295098720 296969064 307292160 309342775 311682048 314771968 324668800 332505600 337255680 339393216 340902240 353534600 363629056 368873400 371211330 376514349 384115200 389602560 393464960 395958752 421569600 424241520 426127800 443340800 449674240 452524288 454536320 472157952 487003200 491831200 494948440 502019132 512153600 519470080 530301900 539609088 545443584 562092800 565655360 568170400 590197440 593938128 618685550 623364096 627523915 629543936 649337600 665011200 674511360 678786432 681804480 707069200 727258112 737746800 742422660 753028698 768230400 779205120 786929920 791917504 843139200 848483040 852255600 878533481 899348480 905048576 909072640 928028325 944315904 974006400 983662400 989896880 1004038264 1038940160 1060603800 1090887168 1124185600 1131310720 1136340800 1180394880 1187876256 1237371100 1255047830 1259087872 1298675200 1330022400 1349022720 1357572864 1363608960 1414138400 1454516224 1475493600 1484845320 1506057396 1536460800 1558410240 1573859840 1583835008 1686278400 1696966080 1704511200 1757066962 1810097152 1818145280 1856056650 1882571745 1888631808 1948012800 1967324800 1979793760 2008076528 2121207600 2181774336 2248371200 2262621440 2272681600 2360789760 2375752512 2474742200 2510095660 2597350400 2635600443 2698045440 2715145728 2727217920 2828276800 2950987200 2969690640 3012114792 3116820480 3137619575 3147719680 3167670016 3372556800 3393932160 3409022400 3514133924 3620194304 3636290560 3712113300 3765143490 3777263616 3896025600 3934649600 3959587520 4016153056 4242415200 4363548672 4392667405 4496742400 4525242880 4545363200 4721579520 4751505024 4949484400 5020191320 5194700800 5271200886 5430291456 5454435840 5656553600 5901974400 5939381280 6024229584 6275239150 6295439360 6335340032 6745113600 6787864320 6818044800 7028267848 7272581120 7424226600 7530286980 7792051200 7869299200 7919175040 8032306112 8484830400 8785334810 9050485760 9090726400 9412858725 9443159040 9503010048 9898968800 10040382640 10542401772 10860582912 10908871680 11313107200 11803948800 11878762560 12048459168 12550478300 12670680064 13178002215 13490227200 13575728640 13636089600 14056535696 14848453200 15060573960 15584102400 15738598400 15838350080 16064612224 16969660800 17570669620 18100971520 18181452800 18825717450 18886318080 19006020096 19797937600 20080765280 21084803544 21817743360 21963337025 22626214400 23607897600 23757525120 24096918336 25100956600 25341360128 26356004430 27151457280 27272179200 28113071392 29696906400 30121147920 31477196800 31676700160 32129224448 33939321600 35141339240 36362905600 37651434900 38012040192 39595875200 40161530560 42169607088 43926674050 45252428800 47215795200 47515050240 48193836672 50201913200 52712008860 54302914560 54544358400 56226142784 59393812800 60242295840 63353400320 64258448896 65890011075 67878643200 70282678480 75302869800 76024080384 79191750400 80323061120 84339214176 87853348100 90504857600 94431590400 95030100480 96387673344 100403826400 105424017720 109088716800 112452285568 118787625600 120484591680 126706800640 128516897792 131780022150 135757286400 140565356960 150605739600 158383500800 160646122240 168678428352 175706696200 190060200960 192775346688 200807652800 210848035440 224904571136 237575251200 240969183360 257033795584 263560044300 271514572800 281130713920 301211479200 316767001600 321292244480 337356856704 351413392400 380120401920 385550693376 401615305600 421696070880 449809142272 475150502400 481938366720 527120088600 562261427840 602422958400 633534003200 642584488960 674713713408 702826784800 771101386752 803230611200 843392141760 899618284544 950301004800 963876733440 1054240177200 1124522855680 1204845916800 1285168977920 1349427426816 1405653569600 1606461222400 1686784283520 1799236569088 1900602009600 1927753466880 2108480354400 2249045711360 2409691833600 2698854853632 2811307139200 3212922444800 3373568567040 3855506933760 4216960708800 4498091422720 4819383667200 5397709707264 5622614278400 6425844889600 6747137134080 8433921417600 8996182845440 9638767334400 11245228556800 13494274268160 16867842835200 19277534668800 22490457113600 26988548536320 33735685670400 44980914227200 67471371340800 134942742681600
- Sum of all divisors σ(n): 517791309235200
- Sum of proper divisors (its aliquot sum) s(n): 382848566553600
- 134942742681600 is an abundant number, because the sum of its proper divisors (382848566553600) is greater than itself. Its abundance is 247905823872000
Bases of 134942742681600
- Binary: 111101010111010110011100011111000011000000000002
- Hexadecimal: 0x7ABACE3E1800
- Base-36: 1BTZU8VH1C
Squares and roots of 134942742681600
- 134942742681600 squared (1349427426816002) is 18209543802432510358978560000
- 134942742681600 cubed (1349427426816003) is 2457245783680974273521970266291306496000000
-
The
square root of 134942742681600 is 11616485.8146343035 -
The
cube root of 134942742681600 is 51292.0248830833
Scales and comparisons
How big is 134942742681600?- 134,942,742,681,600 seconds is equal to 4,290,761 years, 42 weeks, 1 day, 13 hours, 20 minutes.
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To count from 1 to 134,942,742,681,600 would take you about ten million, seven hundred twenty-six thousand, nine hundred four 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 134942742681600 cubic inches would be around 4274.3 feet tall.
Recreational maths with 134942742681600
- 134942742681600 backwards is 006186247249431
- The number of decimal digits it has is: 15
- The sum of 134942742681600's digits is 57
- More coming soon!
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The information we have on file for 134942742681600 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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