13967541945142960
13,967,541,945,142,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 13967541945142960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 900 divisors.
13967541945142960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred divisors.
Prime factorization of 13967541945142960:
24 × 5 × 23 × 314 × 472 × 612
(2 × 2 × 2 × 2 × 5 × 23 × 31 × 31 × 31 × 31 × 47 × 47 × 61 × 61)See below for interesting mathematical facts about the number 13967541945142960 from the Numbermatics database.
Names of 13967541945142960
- Cardinal: 13967541945142960 can be written as Thirteen quadrillion, nine hundred sixty-seven trillion, five hundred forty-one billion, nine hundred forty-five million, one hundred forty-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.396754194514296 × 1016
Factors of 13967541945142960
Divisors of 13967541945142960
- Number of divisors d(n): 900
-
Complete list of divisors:
1 2 4 5 8 10 16 20 23 31 40 46 47 61 62 80 92 94 115 122 124 155 184 188 230 235 244 248 305 310 368 376 460 470 488 496 610 620 713 752 920 940 961 976 1081 1220 1240 1403 1426 1457 1840 1880 1891 1922 2162 2209 2440 2480 2806 2852 2867 2914 3565 3721 3760 3782 3844 4324 4418 4805 4880 5405 5612 5704 5734 5828 7015 7130 7285 7442 7564 7688 8648 8836 9455 9610 10810 11045 11224 11408 11468 11656 14030 14260 14335 14570 14884 15128 15376 17296 17672 18605 18910 19220 21620 22090 22103 22448 22936 23312 28060 28520 28670 29140 29768 29791 30256 33511 35344 37210 37820 38440 43240 43493 44180 44206 45167 45872 50807 56120 57040 57340 58280 58621 59536 59582 65941 67022 68479 74420 75640 76880 85583 86480 86986 88360 88412 88877 90334 101614 110515 112240 114680 115351 116560 117242 119164 131882 134044 134749 136958 148840 148955 151280 167555 171166 173972 174887 176720 176824 177754 180668 203228 217465 221030 225835 229360 230702 234484 238328 254035 263764 268088 269498 273916 293105 297680 297910 329705 335110 342332 342395 347944 349774 353648 355508 361336 406456 427915 434930 442060 444385 451670 461404 468968 476656 508070 527528 536176 538996 547832 576755 586210 595820 659410 670220 673745 684664 684790 685193 695888 699548 711016 722672 812912 855830 869860 874435 884120 888770 903340 922808 923521 937936 1016140 1038841 1055056 1077992 1095664 1153510 1172420 1191640 1318820 1340440 1347490 1348283 1369328 1369580 1370386 1399096 1400177 1422032 1575017 1711660 1739720 1748870 1768240 1777540 1806680 1817251 1845616 1847042 2032280 2044171 2077682 2122849 2155984 2307020 2344840 2383280 2637640 2653073 2680880 2694980 2696566 2739160 2740772 2755187 2798192 2800354 3099227 3150034 3423320 3425965 3479440 3497740 3555080 3575881 3613360 3634502 3694084 4022401 4064560 4088342 4155364 4177219 4245698 4614040 4617605 4689680 5194205 5275280 5306146 5389960 5393132 5421497 5478320 5481544 5510374 5600708 6198454 6300068 6741415 6846640 6851930 6995480 7000885 7110160 7151762 7269004 7388168 7875085 8044802 8176684 8219689 8310728 8354438 8491396 9086255 9228080 9235210 10220855 10388410 10612292 10614245 10779920 10786264 10842994 10963088 11020748 11201416 12396908 12600136 13265365 13482830 13703860 13775935 13990960 14001770 14303524 14538008 14776336 15496135 15750170 16089604 16353368 16439378 16621456 16708876 16982792 17879405 18172510 18470420 20112005 20441710 20776820 20886095 21224584 21228490 21240983 21572528 21685988 22041496 22402832 24793816 25200272 26530730 26965660 27107485 27407720 27551870 28003540 28607048 29076016 30992270 31500340 32179208 32204071 32706736 32878756 33417752 33965584 35758810 36345020 36940840 40224010 40883420 41098445 41553640 41772190 41796773 42449168 42456980 42481966 43371976 43405487 44082992 48825527 49587632 53061460 53931320 54214970 54815440 55103740 56007080 56334781 57214096 61984540 63000680 63369301 64358416 64408142 65757512 65808319 66835504 71517620 72690040 73881680 80448020 81766840 82196890 82245263 83107280 83544380 83593546 84913960 84963932 85410797 86743952 86810974 96076037 97651054 106122920 106204915 107862640 108429940 110207480 110852311 112014160 112669562 123969080 124694431 126001360 126738602 128816284 129493789 131515024 131616638 143035240 145380080 160896040 161020355 163533680 164393780 164490526 167088760 167187092 168066407 169827920 169927864 170821594 173621948 189052847 192152074 195302108 208983865 212245840 212409830 216859880 217027435 220414960 221704622 225339124 244127635 247938160 249388862 253477204 254810359 257632568 258987578 263233276 281673905 286070480 316846505 321792080 322040710 328787560 328981052 329041595 334177520 334374184 336132814 339855728 341643188 347243896 378105694 384304148 390604216 411226315 417967730 424819660 427053985 433719760 434054870 443409244 450678248 480380185 488255270 498777724 506954408 509620718 515265136 517975156 526466552 554261555 563347810 623472155 633693010 644081420 647468945 657575120 657962104 658083190 668748368 672265628 683286376 694487792 756211388 768608296 781208432 822452630 835935460 840332035 849639320 854107970 868109740 886818488 901356496 945264235 960760370 976510540 997555448 998326201 1013908816 1019241436 1035950312 1052933104 1108523110 1126695620 1246944310 1267386020 1274051795 1288162840 1294937890 1295699963 1315924208 1316166380 1344531256 1366572752 1512422776 1513591337 1537216592 1644905260 1671870920 1680664070 1699278640 1708215940 1736219480 1773636976 1890528470 1921520740 1953021080 1964448331 1995110896 1996652402 2038482872 2040057889 2071900624 2217046220 2253391240 2493888620 2534772040 2548103590 2549603153 2576325680 2589875780 2591399926 2632332760 2647734707 2689062512 2978357147 3024845552 3027182674 3289810520 3343741840 3361328140 3416431880 3436421641 3472438960 3781056940 3843041480 3865527361 3906042160 3928896662 3993304804 4014307459 4076965744 4080115778 4434092440 4506782480 4987777240 4991631005 5069544080 5096207180 5099206306 5179751560 5182799852 5210058617 5264665520 5295469414 5860638257 5956714294 6054365348 6478499815 6579621040 6722656280 6832863760 6872843282 7562113880 7567956685 7686082960 7731054722 7857793324 7899121129 7986609608 8028614918 8160231556 8868184880 9822241655 9975554480 9983262010 10192414360 10198412612 10200289445 10359503120 10365599704 10420117234 10590938828 11721276514 11913428588 12108730696 12748015765 12956999630 13238673535 13445312560 13745686564 14891785735 15124227760 15135913370 15462109444 15715586648 15798242258 15973219216 16057229836 16320463112 17182108205 19327636805 19644483310 19966524020 20071537295 20384828720 20396825224 20400578890 20731199408 20840234468 21181877656 23442553028 23826857176 24217461392 25496031530 25913999260 26050293085 26477347070 27491373128 29303191285 29783571470 30271826740 30924218888 31431173296 31596484516 32114459672 32640926224 34364216410 38655273610 39288966620 39495605645 39933048040 40143074590 40793650448 40801157780 41680468936 42363755312 46885106056 46921331447 47653714352 50992063060 51827998520 52100586170 52954694140 54982746256 58606382570 59567142940 60543653480 60897898261 61848437776 63192969032 64228919344 68728432820 77310547220 78577933240 78991211290 79037697743 79866096080 80286149180 81602315560 83360937872 92329071557 93770212112 93842662894 101984126120 103655997040 104201172340 105909388280 117212765140 119134285880 119831348191 121087306960 121795796522 124443531229 126385938064 137456865640 154621094440 157155866480 157982422580 158075395486 160572298360 161511817127 163204631120 181679785967 184658143114 187685325788 203968252240 208402344680 211818776560 234425530280 234606657235 238268571760 239662696382 243591593044 244872754999 248887062458 274913731280 304489491305 309242188880 315964845160 316150790972 321144596720 323023634254 363359571934 369316286228 375370651576 395188488715 416804689360 461645357785 468851060560 469213314470 479325392764 487183186088 489745509998 497774124916 599156740955 608978982610 622217656145 631929690320 632301581944 646047268508 726719143868 738632572456 750741303152 790376977430 807559085635 908398929835 923290715570 938426628940 958650785528 974366372176 979491019996 995548249832 1198313481910 1217957965220 1224363774995 1244435312290 1264603163888 1292094537016 1453438287736 1477265144912 1580753954860 1615118171270 1816797859670 1846581431140 1876853257880 1917301571056 1958982039992 1991096499664 2396626963820 2435915930440 2448727549990 2488870624580 2584189074032 2862201218267 2906876575472 3161507909720 3230236342540 3633595719340 3693162862280 3714771793921 3753706515760 3917964079984 4793253927640 4871831860880 4897455099980 4977741249160 5632073364977 5724402436534 6323015819440 6460472685080 7267191438680 7386325724560 7429543587842 7591055404969 9586507855280 9794910199960 9955482498320 11264146729954 11448804873068 12920945370160 14311006091335 14534382877360 14859087175684 15182110809938 18573858969605 19589820399920 22528293459908 22897609746136 28160366824885 28622012182670 29718174351368 30364221619876 37147717939210 37955277024845 45056586919816 45795219492272 56320733649770 57244024365340 59436348702736 60728443239752 74295435878420 75910554049690 90113173839632 112641467299540 114488048730680 121456886479504 148590871756840 151821108099380 174594274314287 225282934599080 228976097461360 297181743513680 303642216198760 349188548628574 450565869198160 607284432397520 698377097257148 872971371571435 1396754194514296 1745942743142870 2793508389028592 3491885486285740 6983770972571480 13967541945142960
- Sum of all divisors σ(n): 36373013649807120
- Sum of proper divisors (its aliquot sum) s(n): 22405471704664160
- 13967541945142960 is an abundant number, because the sum of its proper divisors (22405471704664160) is greater than itself. Its abundance is 8437929759521200
Bases of 13967541945142960
- Binary: 1100011001111101100111110010000000011010001110101100002
- Hexadecimal: 0x319F67C8068EB0
- Base-36: 3TJ2W6QW434
Squares and roots of 13967541945142960
- 13967541945142960 squared (139675419451429602) is 195092227989327982617934837561600
- 13967541945142960 cubed (139675419451429603) is 2724958877612331994491590081313469485689806336000
-
The
square root of 13967541945142960 is 118184355.7546554467 -
The
cube root of 13967541945142960 is 240827.8238849807
Scales and comparisons
How big is 13967541945142960?- 13,967,541,945,142,960 seconds is equal to 444,124,629 years, 21 weeks, 2 days, 19 hours, 42 minutes, 40 seconds.
-
To count from 1 to 13,967,541,945,142,960 would take you about one billion, three hundred thirty-two million, three hundred seventy-three thousand, eight hundred eighty-eight 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 13967541945142960 cubic inches would be around 20069 feet tall.
Recreational maths with 13967541945142960
- 13967541945142960 backwards is 06924154914576931
- The number of decimal digits it has is: 17
- The sum of 13967541945142960's digits is 76
- More coming soon!
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"Number 13967541945142960 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 13967541945142960 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/13967541945142960/
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The information we have on file for 13967541945142960 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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