13682338845112080
13,682,338,845,112,080 is an even composite number composed of six prime numbers multiplied together.
What does the number 13682338845112080 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1680 divisors.
13682338845112080 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 13682338845112080:
24 × 32 × 5 × 11 × 136 × 713
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 13 × 13 × 13 × 13 × 13 × 13 × 71 × 71 × 71)See below for interesting mathematical facts about the number 13682338845112080 from the Numbermatics database.
Names of 13682338845112080
- Cardinal: 13682338845112080 can be written as Thirteen quadrillion, six hundred eighty-two trillion, three hundred thirty-eight billion, eight hundred forty-five million, one hundred twelve thousand and eighty.
Scientific notation
- Scientific notation: 1.368233884511208 × 1016
Factors of 13682338845112080
Divisors of 13682338845112080
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 30 33 36 39 40 44 45 48 52 55 60 65 66 71 72 78 80 88 90 99 104 110 117 120 130 132 142 143 144 156 165 169 176 180 195 198 208 213 220 234 240 260 264 284 286 312 330 338 355 360 390 396 426 429 440 468 495 507 520 528 568 572 585 624 639 660 676 710 715 720 780 781 792 845 852 858 880 923 936 990 1014 1040 1065 1136 1144 1170 1278 1287 1320 1352 1420 1430 1521 1560 1562 1584 1690 1704 1716 1846 1859 1872 1980 2028 2130 2145 2197 2288 2340 2343 2535 2556 2574 2640 2704 2769 2840 2860 3042 3120 3124 3195 3380 3408 3432 3692 3718 3905 3960 4056 4260 4290 4394 4615 4680 4686 5041 5070 5112 5148 5538 5577 5680 5720 6084 6248 6390 6435 6591 6760 6864 7029 7384 7436 7605 7810 7920 8112 8307 8520 8580 8788 9230 9295 9360 9372 10082 10140 10153 10224 10296 10985 11076 11154 11440 11715 11999 12168 12496 12780 12870 13182 13520 13845 14058 14768 14872 15123 15210 15620 16614 16731 17040 17160 17576 18460 18590 18744 19773 20164 20280 20306 20592 21970 22152 22308 23430 23998 24167 24336 25205 25560 25740 26364 27690 27885 28116 28561 29744 30246 30420 30459 31240 32955 33228 33462 34320 35145 35152 35997 36920 37180 37488 39546 40328 40560 40612 41535 43940 44304 44616 45369 46860 47996 48334 50410 50765 51120 51480 52728 55380 55451 55770 56232 57122 59995 60492 60840 60918 62480 65533 65910 66456 66924 70290 71994 72501 73840 74360 75615 79092 80656 81224 83070 83655 85683 87880 89232 90738 91377 93720 95992 96668 98865 100820 101530 102960 105456 107991 110760 110902 111540 112464 114244 119990 120835 120984 121680 121836 131066 131820 131989 132912 133848 140580 142805 143988 145002 148720 151230 152295 155987 158184 162448 166140 166353 167310 171366 175760 179985 181476 182754 187440 191984 193336 196599 197730 201640 203060 215982 217503 221520 221804 223080 226845 228488 239980 241670 241968 243672 257049 262132 263640 263978 267696 277255 281160 285610 287976 290004 302460 304590 311974 314171 316368 327665 332280 332706 334620 342732 357911 359970 362505 362952 365508 371293 386672 393198 395460 395967 403280 406120 428415 431964 435006 443608 446160 453690 456885 456976 467961 479960 483340 487344 499059 514098 524264 527280 527956 539955 554510 562320 571220 575952 580008 589797 604920 609180 623948 628342 655330 659945 664560 665412 669240 685464 715822 719940 720863 725010 725904 731016 742586 779935 786396 790920 791934 812240 831765 851929 856830 863928 870012 887216 907380 913770 935922 942513 959920 966680 982995 998118 1028196 1048528 1055912 1073733 1079910 1087515 1109020 1113879 1142440 1160016 1179594 1187901 1209840 1218360 1247896 1256684 1285245 1310660 1319890 1330824 1338480 1370928 1403883 1431644 1439880 1441726 1450020 1462032 1485172 1559870 1570855 1572792 1581840 1583868 1663530 1703858 1713660 1715857 1727856 1740024 1789555 1814760 1827540 1856465 1871844 1885026 1933360 1965990 1979835 1996236 2027831 2056392 2111824 2147466 2159820 2162589 2175030 2218040 2227758 2284880 2339805 2359188 2375802 2436720 2495295 2495792 2513368 2555787 2570490 2621320 2639780 2661648 2807766 2827539 2863288 2879760 2883452 2900040 2948985 2970344 3119740 3141710 3145584 3167736 3221199 3327060 3341637 3407716 3427320 3431714 3480048 3579110 3604315 3629520 3655080 3712930 3743688 3770052 3931980 3937021 3959670 3992472 4055662 4084223 4112784 4259645 4294932 4319640 4325178 4350060 4436080 4455516 4652843 4679610 4712565 4718376 4751604 4826809 4990590 5026736 5111574 5140980 5147571 5242640 5279560 5368665 5569395 5615532 5655078 5726576 5766904 5800080 5897970 5939505 5940688 6083493 6239480 6283420 6335472 6442398 6487767 6654120 6683274 6815432 6854640 6863428 7019415 7158220 7208630 7310160 7425860 7487376 7540104 7667361 7863960 7874042 7919340 7984944 8111324 8168446 8519290 8579285 8589864 8639280 8650356 8700120 8911032 9305686 9359220 9371219 9425130 9436752 9503208 9653618 9981180 10139155 10223148 10281960 10295142 10559120 10737330 10812945 11075077 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13919031984 14153948406 14253624099 14516870160 14619101640 14973504104 15078951316 15421654755 15726609340 15837360110 15968557176 16060421520 16449765072 16845192117 17277120120 17299270274 17398789980 17542921968 18425258280 18716880130 18848689145 18871931208 18980498160 19004832132 19114163640 19960696470 20444592142 20562206340 20588568143 20732544144 20878547976 21775305240 21928652460 22460256156 22618426974 23198386640 23589914010 23756040165 23952835764 24331944169 24674647608 25339776176 25915680180 25948905411 26098184970 26614261960 27416275120 28075320195 28307896812 28507248198 29238203280 29941044705 29947008208 30157902632 30666888213 30843309510 31453218680 31674720220 31937114352 33690384234 33927640461 34554240240 34598540548 34797579960 35384871015 36850516560 37433760260 37697378290 37743862416 38009664264 38228327280 39921392940 40889184284 41124412680 41177136286 41757095952 43248175685 43550610480 43857304920 44920512312 45236853948 47179828020 47512080330 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185297113287 188719312080 190048321320 194655553352 204445921420 205885681430 207591243288 208785479760 218987497521 224602561560 224890513562 226184269740 228057985584 239528357640 243319441690 245335105704 246746476080 247062817716 259489054110 265779697846 267651385859 269523073872 271421123688 283078968120 285072481980 291983330028 301579026320 306668882130 308828522145 311386864932 329417090288 336903842340 337335770343 339276404610 345985405480 364979162535 368002658556 370594226574 380096642640 389233581165 389311106704 398669546769 408891842840 411771362860 415182486576 437974995042 449205123120 449781027124 452368539480 460003323195 479056715280 486638883380 490670211408 494125635432 518978108220 531559395692 535302771718 542842247376 562226283905 566157936240 570144963960 583966660056 613337764260 617657044290 622773729864 664449244615 673807684680 674671540686 678552809220 691970810960 729958325070 736005317112 741188453148 778467162330 797339093538 802954157577 817783685680 823542725720 875949990084 899562054248 904737078960 920006646390 926485566435 973277766760 988251270864 1012007311029 1037956216440 1063118791384 1070605543436 1094937487605 1124452567810 1140289927920 1167933320112 1196008640307 1226675528520 1235314088580 1245547459728 1328898489230 1338256929295 1347615369360 1349343081372 1357105618440 1459916650140 1461788338153 1472010634224 1482376906296 1556934324660 1594678187076 1605908315154 1647085451440 1686678851715 1727568035999 1751899980168 1799124108496 1840013292780 1852971132870 1946555533520 1993347733845 2024014622058 2075912432880 2126237582768 2141211086872 2189874975210 2248905135620 2392017280614 2408862472731 2453351057040 2470628177160 2657796978460 2676513858590 2698686162744 2714211236880 2919833300280 2923576676306 2964753812592 3113868649320 3189356374152 3211816630308 3373357703430 3455136071998 3503799960336 3680026585560 3705942265740 3986695467690 4014770787885 4048029244116 4282422173744 4379749950420 4385365014459 4497810271240 4784034561228 4817724945462 4941256354320 5060036555145 5182704107997 5315593956920 5353027717180 5397372325488 5839666600560 5847153352612 5980043201535 6227737298640 6378712748304 6423633260616 6746715406860 6910272143996 7308941690765 7360053171120 7411884531480 7973390935380 8029541575770 8096058488232 8637840179995 8759499900840 8770730028918 8995620542480 9568069122456 9635449890924 10120073110290 10365408215994 10631187913840 10706055434360 11694306705224 11960086403070 12044312363655 12847266521232 13156095043377 13493430813720 13820544287992 14617883381530 14823769062960 15548112323991 15946781870760 16059083151540 16192116976464 17275680359990 17518999801680 17541460057836 19003248395989 19136138244912 19270899781848 20240146220580 20730816431988 21412110868720 21926825072295 23388613410448 23920172806140 24088624727310 25913520539985 26312190086754 26986861627440 27641088575984 29235766763060 31096224647982 31893563741520 32118166303080 34551360719980 35082920115672 38006496791978 38541799563696 40480292441160 41461632863976 43853650144590 47840345612280 48177249454620 51827041079970 52624380173508 57009745187967 58471533526120 62192449295964 64236332606160 65780475216885 69102721439960 70165840231344 76012993583956 77740561619955 80960584882320 82923265727952 87707300289180 95016241979945 95680691224560 96354498909240 103654082159940 105248760347016 114019490375934 116943067052240 124384898591928 131560950433770 138205442879920 152025987167912 155481123239910 171029235563901 175414600578360 190032483959890 192708997818480 207308164319880 210497520694032 228038980751868 248769797183856 263121900867540 285048725939835 304051974335824 310962246479820 342058471127802 350829201156720 380064967919780 414616328639760 456077961503736 526243801735080 570097451879670 621924492959640 684116942255604 760129935839560 855146177819505 912155923007472 1052487603470160 1140194903759340 1243848985919280 1368233884511208 1520259871679120 1710292355639010 2280389807518680 2736467769022416 3420584711278020 4560779615037360 6841169422556040 13682338845112080
- Sum of all divisors σ(n): 55080147364624512
- Sum of proper divisors (its aliquot sum) s(n): 41397808519512432
- 13682338845112080 is an abundant number, because the sum of its proper divisors (41397808519512432) is greater than itself. Its abundance is 27715469674400352
Bases of 13682338845112080
- Binary: 1100001001110000000011110000101000111100110111000100002
- Hexadecimal: 0x309C03C28F3710
- Base-36: 3QPZFOWUXW0
Squares and roots of 13682338845112080
- 13682338845112080 squared (136823388451120802) is 187206396272462967100507761926400
- 13682338845112080 cubed (136823388451120803) is 2561421347772165351477452019582219660964710912000
-
The
square root of 13682338845112080 is 116971530.0622851561 -
The
cube root of 13682338845112080 is 239177.3853091549
Scales and comparisons
How big is 13682338845112080?- 13,682,338,845,112,080 seconds is equal to 435,056,053 years, 1 week, 21 hours, 48 minutes.
-
To count from 1 to 13,682,338,845,112,080 would take you about one billion, three hundred five million, one hundred sixty-eight thousand, one hundred fifty-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 13682338845112080 cubic inches would be around 19931.4 feet tall.
Recreational maths with 13682338845112080
- 13682338845112080 backwards is 08021154883328631
- The number of decimal digits it has is: 17
- The sum of 13682338845112080's digits is 63
- More coming soon!
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"Number 13682338845112080 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 13682338845112080 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/13682338845112080/
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The information we have on file for 13682338845112080 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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