13948398163822080
13,948,398,163,822,080 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13948398163822080 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 640 divisors.
13948398163822080 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 13948398163822080:
29 × 3 × 5 × 7 × 1093 × 24571 × 9661
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 1093 × 24571 × 9661)See below for interesting mathematical facts about the number 13948398163822080 from the Numbermatics database.
Names of 13948398163822080
- Cardinal: 13948398163822080 can be written as Thirteen quadrillion, nine hundred forty-eight trillion, three hundred ninety-eight billion, one hundred sixty-three million, eight hundred twenty-two thousand and eighty.
Scientific notation
- Scientific notation: 1.394839816382208 × 1016
Factors of 13948398163822080
Divisors of 13948398163822080
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1093 1120 1280 1344 1536 1680 1792 1920 2186 2240 2560 2688 3279 3360 3584 3840 4372 4480 5376 5465 6558 6720 7651 7680 8744 8960 9661 10752 10930 13116 13440 15302 16395 17488 17920 19322 21860 22953 24571 26232 26880 28983 30604 32790 34976 38255 38644 43720 45906 48305 49142 52464 53760 57966 61208 65580 67627 69952 73713 76510 77288 87440 91812 96610 98284 104928 114765 115932 122416 122855 131160 135254 139904 144915 147426 153020 154576 171997 174880 183624 193220 196568 202881 209856 229530 231864 244832 245710 262320 270508 279808 289830 294852 306040 309152 338135 343994 349760 367248 368565 386440 393136 405762 419712 459060 463728 489664 491420 515991 524640 541016 559616 579660 589704 612080 618304 676270 687988 699520 734496 737130 772880 786272 811524 839424 859985 918120 927456 979328 982840 1014405 1031982 1049280 1082032 1159320 1179408 1224160 1236608 1352540 1375976 1399040 1468992 1474260 1545760 1572544 1623048 1678848 1719970 1836240 1854912 1958656 1965680 2028810 2063964 2098560 2164064 2318640 2358816 2448320 2473216 2579955 2705080 2751952 2798080 2937984 2948520 3091520 3145088 3246096 3439940 3672480 3709824 3917312 3931360 4057620 4127928 4197120 4328128 4637280 4717632 4896640 4946432 5159910 5410160 5503904 5875968 5897040 6183040 6290176 6492192 6879880 7344960 7419648 7862720 8115240 8255856 8394240 8656256 9274560 9435264 9793280 10319820 10559473 10820320 11007808 11751936 11794080 12366080 12580352 12984384 13759760 14689920 14839296 15725440 16230480 16511712 17312512 18549120 18870528 19586560 20639640 21118946 21640640 22015616 23588160 24732160 25968768 26856103 27519520 29379840 31450880 31678419 32460960 33023424 34625024 37098240 37741056 41279280 42237892 43281280 44031232 47176320 51937536 52797365 53712206 55039040 58759680 62901760 63356838 64921920 66046848 73916311 74196480 80568309 82558560 84475784 86562560 88062464 94352640 103875072 105594730 107424412 110078080 126713676 129843840 132093696 134280515 147832622 158392095 161136618 165117120 168951568 173125120 187992721 188705280 211189460 214848824 220156160 221748933 237380431 253427352 259687680 264187392 268561030 295665244 316784190 322273236 330234240 337903136 369581555 375985442 402841545 422378920 429697648 440312320 443497866 474760862 506854704 519375360 537122060 563978163 591330488 633568380 644546472 660468480 675806272 712141293 739163110 751970884 805683090 844757840 859395296 886995732 939963605 949521724 1013709408 1074244120 1108744665 1127956326 1182660976 1186902155 1267136760 1289092944 1320936960 1351612544 1424282586 1478326220 1503941768 1611366180 1661663017 1689515680 1718790592 1773991464 1879927210 1899043448 2027418816 2148488240 2217489330 2255912652 2365321952 2373804310 2534273520 2578185888 2703225088 2819890815 2848565172 2956652440 3007883536 3222732360 3323326034 3379031360 3437581184 3547982928 3560706465 3759854420 3798086896 4054837632 4296976480 4434978660 4511825304 4730643904 4747608620 4984989051 5068547040 5156371776 5406450176 5639781630 5697130344 5913304880 6015767072 6445464720 6646652068 6758062720 6875162368 7095965856 7121412930 7519708840 7596173792 8109675264 8308315085 8593952960 8869957320 9023650608 9461287808 9495217240 9969978102 10137094080 10312743552 11279563260 11394260688 11826609760 12031534144 12890929440 13293304136 13516125440 13750324736 14191931712 14242825860 15039417680 15192347584 16219350528 16616630170 17187905920 17739914640 18047301216 18922575616 18990434480 19939956204 20274188160 20625487104 22559126520 22788521376 23653219520 24063068288 24924945255 25781858880 26586608272 27032250880 28383863424 28485651720 30078835360 30384695168 33233260340 34375811840 35479829280 36094602432 37845151232 37980868960 39879912408 40548376320 41250974208 45118253040 45577042752 47306439040 48126136576 49849890510 51563717760 53173216544 56767726848 56971303440 60157670720 60769390336 66466520680 68751623680 70959658560 72189204864 75961737920 79759824816 81096752640 90236506080 91154085504 94612878080 96252273152 99699781020 103127435520 106346433088 113535453696 113942606880 120315341440 121538780672 132933041360 141919317120 144378409728 151923475840 159519649632 180473012160 182308171008 189225756160 199399562040 206254871040 212692866176 227885213760 240630682880 259456811083 265866082720 283838634240 288756819456 303846951680 319039299264 360946024320 364616342016 398799124080 425385732352 455770427520 481261365760 518913622166 531732165440 567677268480 607693903360 638078598528 721892048640 778370433249 797598248160 850771464704 911540855040 1037827244332 1063464330880 1276157197056 1297284055415 1443784097280 1556740866498 1595196496320 1816197677581 1823081710080 2075654488664 2126928661760 2552314394112 2594568110830 3113481732996 3190392992640 3632395355162 3891852166245 4151308977328 4253857323520 5189136221660 5448593032743 6226963465992 6380785985280 7264790710324 7783704332490 8302617954656 9080988387905 10378272443320 10897186065486 12453926931984 12761571970560 14529581420648 15567408664980 16605235909312 18161976775810 20756544886640 21794372130972 24907853863968 27242965163715 29059162841296 31134817329960 33210471818624 36323953551620 41513089773280 43588744261944 49815707727936 54485930327430 58118325682592 62269634659920 66420943637248 72647907103240 83026179546560 87177488523888 99631415455872 108971860654860 116236651365184 124539269319840 132841887274496 145295814206480 166052359093120 174354977047776 199262830911744 217943721309720 232473302730368 249078538639680 290591628412960 332104718186240 348709954095552 398525661823488 435887442619440 464946605460736 498157077279360 581183256825920 664209436372480 697419908191104 871774885238880 929893210921472 996314154558720 1162366513651840 1394839816382208 1743549770477760 1992628309117440 2324733027303680 2789679632764416 3487099540955520 4649466054607360 6974199081911040 13948398163822080
- Sum of all divisors σ(n): 51015450276781056
- Sum of proper divisors (its aliquot sum) s(n): 37067052112958976
- 13948398163822080 is an abundant number, because the sum of its proper divisors (37067052112958976) is greater than itself. Its abundance is 23118653949136896
Bases of 13948398163822080
- Binary: 1100011000110111111110100001011011110110000110000000002
- Hexadecimal: 0x318DFE85BD8600
- Base-36: 3TCALNLRRPC
Squares and roots of 13948398163822080
- 13948398163822080 squared (139483981638220802) is 194557811336515172893353895526400
- 13948398163822080 cubed (139483981638220803) is 2713769818403490897950807264601500048437542912000
-
The
square root of 13948398163822080 is 118103336.8022346775 -
The
cube root of 13948398163822080 is 240717.7481316623
Scales and comparisons
How big is 13948398163822080?- 13,948,398,163,822,080 seconds is equal to 443,515,916 years, 19 weeks, 5 days, 18 hours, 8 minutes.
-
To count from 1 to 13,948,398,163,822,080 would take you about one billion, three hundred thirty million, five hundred forty-seven thousand, seven hundred forty-nine 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 13948398163822080 cubic inches would be around 20059.8 feet tall.
Recreational maths with 13948398163822080
- 13948398163822080 backwards is 08022836189384931
- The number of decimal digits it has is: 17
- The sum of 13948398163822080's digits is 75
- More coming soon!
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The information we have on file for 13948398163822080 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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