13146688478000
13,146,688,478,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13146688478000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
13146688478000 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 13146688478000:
24 × 53 × 7 × 112 × 53 × 181 × 809
(2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 11 × 53 × 181 × 809)See below for interesting mathematical facts about the number 13146688478000 from the Numbermatics database.
Names of 13146688478000
- Cardinal: 13146688478000 can be written as Thirteen trillion, one hundred forty-six billion, six hundred eighty-eight million, four hundred seventy-eight thousand.
Scientific notation
- Scientific notation: 1.3146688478 × 1013
Factors of 13146688478000
Divisors of 13146688478000
- Number of divisors d(n): 960
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 53 55 56 70 77 80 88 100 106 110 112 121 125 140 154 175 176 181 200 212 220 242 250 265 275 280 308 350 362 371 385 400 424 440 484 500 530 550 560 583 605 616 700 724 742 770 809 847 848 875 880 905 968 1000 1060 1100 1166 1210 1232 1267 1325 1375 1400 1448 1484 1540 1618 1694 1750 1810 1855 1925 1936 1991 2000 2120 2200 2332 2420 2534 2650 2750 2800 2896 2915 2968 3025 3080 3236 3388 3500 3620 3710 3850 3982 4045 4081 4235 4240 4400 4525 4664 4840 5068 5300 5500 5663 5830 5936 6050 6160 6335 6413 6472 6625 6776 7000 7240 7420 7700 7964 8090 8162 8470 8899 9050 9275 9328 9593 9625 9680 9955 10136 10600 11000 11326 11660 12100 12670 12826 12944 13250 13552 13937 14000 14480 14575 14840 15125 15400 15928 16180 16324 16940 17798 18100 18550 19186 19250 19910 20225 20272 20405 21175 21200 21901 22000 22625 22652 23320 24200 25340 25652 26500 27874 28315 29150 29680 30250 30800 31675 31856 32065 32360 32648 33880 35596 36200 37100 38372 38500 39820 40450 40810 42350 42877 43802 44495 44891 45250 45304 46375 46640 47965 48400 49775 50680 51304 53000 55748 56630 58300 60500 62293 63350 64130 64720 65296 67151 67760 69685 71192 72400 72875 74200 76744 77000 79640 80900 81620 84700 85754 87604 88990 89782 90500 90608 92750 95930 97889 99550 101125 101360 102025 102608 105523 105875 106000 109505 111496 113260 116600 121000 124586 126700 128260 134302 139370 141575 142384 145750 146429 148400 153307 153488 154000 158375 159280 160325 161800 163240 169400 171508 175208 177980 179564 181000 185500 191860 195778 199100 202250 204050 211046 211750 214385 219010 222475 222992 224455 226520 233200 239825 242000 248875 249172 253400 256520 268604 278740 283150 291500 292858 300139 306614 311465 316750 320650 323600 326480 335755 338800 343016 348425 350416 355960 359128 362000 371000 383720 391556 398200 404500 408100 422092 423500 428770 438020 444950 448910 453040 471647 479650 489445 497750 498344 506800 510125 513040 527615 537208 547525 557480 566300 583000 585716 600278 613228 622930 633500 641300 671510 685223 686032 696850 707875 711920 718256 732145 738661 742000 766535 767440 783112 796400 801625 809000 816200 844184 847000 857540 876040 889900 897820 943294 959300 978890 995500 996688 1020250 1025003 1055230 1071925 1074416 1095050 1112375 1114960 1122275 1132600 1160753 1166000 1171432 1199125 1200556 1226456 1245860 1267000 1282600 1343020 1370446 1393700 1415750 1464290 1477322 1500695 1533070 1557325 1566224 1603250 1610719 1618000 1632400 1678775 1688368 1694000 1715080 1742125 1752080 1779800 1795640 1886588 1918600 1957780 1991000 2040500 2050006 2110460 2143850 2190100 2224750 2244550 2265200 2321506 2342864 2358235 2398250 2401112 2447225 2452912 2491720 2534000 2565200 2638075 2686040 2737625 2740892 2787400 2831500 2928580 2954644 3001390 3066140 3114650 3206500 3221438 3301529 3357550 3426115 3430160 3484250 3559600 3591280 3660725 3693305 3773176 3832675 3837200 3915560 3982000 4081000 4100012 4220920 4287700 4380200 4449500 4489100 4643012 4716470 4796500 4802224 4894450 4983440 5125015 5188117 5276150 5359625 5372080 5475250 5481784 5574800 5611375 5663000 5803765 5857160 5909288 6002780 6132280 6229300 6413000 6442876 6603058 6715100 6852230 6968500 7321450 7386610 7503475 7546352 7665350 7760737 7786625 7831120 8053595 8125271 8162000 8200024 8393875 8441840 8575400 8760400 8899000 8978200 9286024 9432940 9593000 9788900 10250030 10376234 10552300 10719250 10950500 10963568 11222750 11275033 11326000 11607530 11714320 11791175 11818576 12005560 12236125 12264560 12458600 12826000 12885752 13190375 13206116 13430200 13704460 13937000 14642900 14773220 15006950 15330700 15521474 15573250 16107190 16250542 16400048 16507645 16787750 17130575 17150800 17717909 17798000 17956400 18303625 18466525 18572048 18865880 19163375 19186000 19577800 20500060 20752468 21104600 21438500 21901000 22445500 22550066 23215060 23582350 24011120 24472250 24917200 25625075 25771504 25940585 26380750 26412232 26860400 27408920 27874000 29018825 29285800 29546440 30013900 30661400 31042948 31146500 32214380 32501084 33015290 33575500 34261150 35435818 36316819 36607250 36933050 37517375 37731760 38326750 38803685 39155600 40267975 40626355 41000120 41504936 42209200 42877000 43802000 44891000 45100132 46430120 47164700 48944500 51250150 51881170 52761500 52824464 54325159 54817840 56375165 58037650 58571600 58955875 59092880 60027800 61322800 62085896 62293000 64428760 65002168 66030580 67151000 68522300 70871636 72633638 73214500 73866100 75034750 76653500 77607370 80535950 81252710 82000240 82538225 83009872 85368107 85652875 85754000 88589545 89782000 90200264 92332625 92860240 94329400 97889000 102500300 103762340 105523000 108650318 112750330 116075300 117911750 120055600 124025363 124171792 124586000 128125375 128857520 129702925 130004336 132061160 134302000 137044600 141743272 145094125 145267276 146429000 147732200 150069500 153307000 155214740 161071900 162505420 165076450 170736214 171305750 177179090 180400528 181584095 184665250 188658800 194018425 195778000 201339875 203131775 205000600 207524680 211046000 217300636 225500660 232150600 235823500 248050726 256250750 259405850 264122320 271625795 274089200 281875825 283486544 290188250 290534552 292858000 295464400 300139000 306614000 310429480 322143800 325010840 330152900 341472428 342611500 354358180 363168190 369330500 388036850 402679750 406263550 410001200 412691125 415049360 426840535 434601272 442947725 451001320 464301200 471647000 496101452 512501500 518811700 543251590 563751650 580376500 581069104 597576749 600278000 620126815 620858960 644287600 648514625 650021680 660305800 682944856 685223000 708716360 726336380 738661000 776073700 805359500 812527100 825382250 853681070 869202544 885895450 902002640 907920475 939049177 943294000 970092125 992202904 1015658875 1025003000 1037623400 1086503180 1127503300 1160753000 1195153498 1240253630 1297029250 1320611600 1358128975 1365889712 1370446000 1409379125 1417432720 1452672760 1477322000 1552147400 1610719000 1625054200 1650764500 1707362140 1771790900 1815840950 1878098354 1940184250 1984405808 2031317750 2050006000 2075246800 2134202675 2173006360 2214738625 2255006600 2321506000 2390306996 2480507260 2594058500 2716257950 2818758250 2905345520 2987883745 3100634075 3104294800 3221438000 3250108400 3301529000 3414724280 3543581800 3631681900 3756196708 3880368500 4062635500 4268405350 4346012720 4429477250 4510013200 4539602375 4695245885 4780613992 4961014520 5188117000 5432515900 5637516500 5975767490 6201268150 6573344239 6603058000 6790644875 6829448560 7087163600 7263363800 7512393416 7760737000 8125271000 8536810700 8858954500 9079204750 9390491770 9561227984 9922029040 10376234000 10671013375 10865031800 11275033000 11951534980 12402536300 13146688478 13581289750 14526727600 14939418725 15024786832 15503170375 15521474000 16250542000 17073621400 17717909000 18158409500 18780983540 21342026750 21730063600 22550066000 23476229425 23903069960 24805072600 26293376956 27162579500 29878837450 31006340750 32866721195 34147242800 35435818000 36316819000 37561967080 42684053500 46952458850 47806139920 49610145200 52586753912 54325159000 59757674900 62012681500 65733442390 72633638000 74697093625 75123934160 85368107000 93904917700 105173507824 108650318000 117381147125 119515349800 124025363000 131466884780 149394187250 164333605975 170736214000 187809835400 234762294250 239030699600 248050726000 262933769560 298788374500 328667211950 375619670800 469524588500 525867539120 597576749000 657334423900 821668029875 939049177000 1195153498000 1314668847800 1643336059750 1878098354000 2629337695600 3286672119500 6573344239000 13146688478000
- Sum of all divisors σ(n): 40961710782720
- Sum of proper divisors (its aliquot sum) s(n): 27815022304720
- 13146688478000 is an abundant number, because the sum of its proper divisors (27815022304720) is greater than itself. Its abundance is 14668333826720
Bases of 13146688478000
- Binary: 101111110100111100111011001001011011001100002
- Hexadecimal: 0xBF4F3B25B30
- Base-36: 4NRI6VRJK
Squares and roots of 13146688478000
- 13146688478000 squared (131466884780002) is 172835417937577956484000000
- 13146688478000 cubed (131466884780003) is 2272213397590270643734988191352000000000
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The
square root of 13146688478000 is 3625836.2453370671 -
The
cube root of 13146688478000 is 23601.4557167265
Scales and comparisons
How big is 13146688478000?- 13,146,688,478,000 seconds is equal to 418,024 years, 1 week, 3 days, 6 hours, 33 minutes, 20 seconds.
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To count from 1 to 13,146,688,478,000 would take you about one million, forty-five thousand and sixty 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 13146688478000 cubic inches would be around 1966.8 feet tall.
Recreational maths with 13146688478000
- 13146688478000 backwards is 00087488664131
- 13146688478000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13146688478000's digits is 56
- More coming soon!
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The information we have on file for 13146688478000 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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