13682681431310880
13,682,681,431,310,880 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13682681431310880 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
13682681431310880 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13682681431310880:
25 × 33 × 5 × 37 × 127 × 19531 × 34511
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 37 × 127 × 19531 × 34511)See below for interesting mathematical facts about the number 13682681431310880 from the Numbermatics database.
Names of 13682681431310880
- Cardinal: 13682681431310880 can be written as Thirteen quadrillion, six hundred eighty-two trillion, six hundred eighty-one billion, four hundred thirty-one million, three hundred ten thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.368268143131088 × 1016
Factors of 13682681431310880
Divisors of 13682681431310880
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 37 40 45 48 54 60 72 74 80 90 96 108 111 120 127 135 144 148 160 180 185 216 222 240 254 270 288 296 333 360 370 381 432 444 480 508 540 555 592 635 666 720 740 762 864 888 999 1016 1080 1110 1143 1184 1270 1332 1440 1480 1524 1665 1776 1905 1998 2032 2160 2220 2286 2540 2664 2960 3048 3330 3429 3552 3810 3996 4064 4320 4440 4572 4699 4995 5080 5328 5715 5920 6096 6660 6858 7620 7992 8880 9144 9398 9990 10160 10656 11430 12192 13320 13716 14097 15240 15984 17145 17760 18288 18796 19531 19980 20320 22860 23495 26640 27432 28194 30480 31968 34290 34511 36576 37592 39062 39960 42291 45720 46990 53280 54864 56388 58593 60960 68580 69022 70485 75184 78124 79920 84582 91440 93980 97655 103533 109728 112776 117186 126873 137160 138044 140970 150368 156248 159840 169164 172555 175779 182880 187960 195310 207066 211455 225552 234372 253746 274320 276088 281940 292965 310599 312496 338328 345110 351558 375920 390620 414132 422910 451104 468744 507492 517665 527337 548640 552176 563880 585930 621198 624992 634365 676656 690220 703116 722647 751840 781240 828264 845820 878895 931797 937488 1014984 1035330 1054674 1104352 1127760 1171860 1242396 1268730 1276907 1353312 1380440 1406232 1445294 1552995 1562480 1656528 1691640 1757790 1863594 1874976 2029968 2070660 2109348 2167941 2255520 2343720 2480437 2484792 2537460 2553814 2636685 2760880 2812464 2890588 3105990 3124960 3313056 3383280 3515580 3613235 3727188 3830721 4059936 4141320 4218696 4335882 4382897 4658985 4687440 4960874 4969584 5074920 5107628 5273370 5521760 5624928 5781176 6211980 6384535 6503823 6766560 7031160 7226470 7441311 7454376 7661442 8282640 8437392 8671764 8765794 9317970 9374880 9921748 9939168 10149840 10215256 10546740 10839705 11492163 11562352 12402185 12423960 12769070 13007646 13148691 14062320 14452940 14882622 14908752 15322884 16565280 16874784 17343528 17531588 18635940 19153605 19511469 19843496 20299680 20430512 21093480 21679410 21914485 22323933 22984326 23124704 24804370 24847920 25538140 26015292 26297382 28124640 28905880 29765244 29817504 30645768 32519115 34476489 34687056 35063176 37206555 37271880 38307210 39022938 39446073 39686992 40861024 42186960 43358820 43828970 44647866 45968652 49608740 49695840 51076280 52030584 52594764 57460815 57811760 59530488 61291536 65038230 65743455 66971799 68952978 69374112 70126352 74413110 74543760 76614420 78045876 78892146 79373984 84373920 86717640 87657940 89295732 91776169 91937304 97557345 99217480 102152560 104061168 105189528 111619665 114921630 115623520 118338219 119060976 122583072 130076460 131486910 133943598 137905956 140252704 148826220 149087520 153228840 156091752 157784292 162167189 172382445 173435280 175315880 178591464 183552338 183874608 195114690 197230365 198434960 204305120 208122336 210379056 223239330 229843260 236676438 238121952 260152920 262973820 267887196 275328507 275811912 297652440 306457680 312183504 315568584 324334378 334858995 344764890 346870560 350631760 357182928 367104676 367749216 390229380 394460730 396869920 420758112 446478660 458880845 459686520 473352876 486501567 520305840 525947640 535774392 550657014 551623824 591691095 595304880 612915360 624367008 631137168 648668756 669717990 674034341 689529780 701263520 714365856 734209352 780458760 788921460 810835945 825985521 892957320 917761690 919373040 946705752 973003134 1040611680 1051895280 1071548784 1101314028 1103247648 1183382190 1190609760 1262274336 1297337512 1339435980 1348068682 1376642535 1379059560 1459504701 1468418704 1560917520 1577842920 1621671890 1651971042 1785914640 1835523380 1838746080 1893411504 1946006268 2022103023 2103790560 2143097568 2202628056 2366764380 2432507835 2477956563 2594675024 2678871960 2696137364 2753285070 2758119120 2919009402 2936837408 3121835040 3155685840 3243343780 3303942084 3370171705 3571829280 3671046760 3786823008 3892012536 4044206046 4129927605 4378514103 4405256112 4733528760 4865015670 4955913126 5189350048 5357743920 5392274728 5506570140 5516238240 5838018804 6066309069 6311371680 6486687560 6607884168 6740343410 7297523505 7342093520 7784025072 8088412092 8259855210 8757028206 8810512224 9467057520 9730031340 9911826252 10110515115 10715487840 10784549456 11013140280 11676037608 12132618138 12389782815 12973375120 13215768336 13480686820 14595047010 14684187040 15568050144 16176824184 16519710420 17514056412 18198927207 18934115040 19460062680 19823652504 20221030230 21569098912 21892570515 22026280560 23352075216 24265236276 24779565630 24939270617 25946750240 26431536672 26961373640 29190094020 30331545345 32353648368 33039420840 35028112824 36397854414 38920125360 39647305008 40442060460 43785141030 44052561120 46704150432 48530472552 49559131260 49878541234 53922747280 58380188040 60663090690 64707296736 66078841680 70056225648 72795708828 74817811851 77840250720 79294610016 80884120920 85602361307 87570282060 90994636035 97060945104 99118262520 99757082468 107845494560 116760376080 121326181380 124696353085 132157683360 140112451296 145591417656 149635623702 161768241840 171204722614 175140564120 181989272070 194121890208 198236525040 199514164936 224453435553 233520752160 242652362760 249392706170 256807083921 291182835312 299271247404 323536483680 342409445228 350281128240 363978544140 374089059255 396473050080 399028329872 428011806535 448906871106 485304725520 498785412340 513614167842 582365670624 598542494808 673360306659 684818890456 700562256480 727957088280 748178118510 770421251763 798056659744 856023613070 897813742212 970609451040 997570824680 1027228335684 1122267177765 1197084989616 1284035419605 1346720613318 1369637780912 1455914176560 1496356237020 1540842503526 1712047226140 1795627484424 1995141649360 2054456671368 2244534355530 2311263755289 2394169979232 2568070839210 2693441226636 2739275561824 2911828353120 2992712474040 3081685007052 3167287368359 3366801533295 3424094452280 3591254968848 3852106258815 3990283298720 4108913342736 4489068711060 4622527510578 5136141678420 5386882453272 5985424948080 6163370014104 6334574736718 6733603066590 6848188904560 7182509937696 7704212517630 8217826685472 8978137422120 9245055021156 9501862105077 10272283356840 10773764906544 11556318776445 11970849896160 12326740028208 12669149473436 13467206133180 13696377809120 15408425035260 15836436841795 17956274844240 18490110042312 19003724210154 20544566713680 21547529813088 23112637552890 24653480056416 25338298946872 26934412266360 28505586315231 30816850070520 31672873683590 35912549688480 36980220084624 38007448420308 41089133427360 46225275105780 47509310525385 50676597893744 53868824532720 57011172630462 61633700141040 63345747367180 73960440169248 76014896840616 85516758945693 92450550211560 95018621050770 101353195787488 107737649065440 114022345260924 123267400282080 126691494734360 142527931576155 152029793681232 171033517891386 184901100423120 190037242101540 228044690521848 253382989468720 285055863152310 304059587362464 342067035782772 369802200846240 380074484203080 427583794728465 456089381043696 506765978937440 570111726304620 684134071565544 760148968406160 855167589456930 912178762087392 1140223452609240 1368268143131088 1520297936812320 1710335178913860 2280446905218480 2736536286262176 3420670357827720 4560893810436960 6841340715655440 13682681431310880
- Sum of all divisors σ(n): 49574940404613120
- Sum of proper divisors (its aliquot sum) s(n): 35892258973302240
- 13682681431310880 is an abundant number, because the sum of its proper divisors (35892258973302240) is greater than itself. Its abundance is 22209577541991360
Bases of 13682681431310880
- Binary: 1100001001110001010011100001100100100111000010001000002
- Hexadecimal: 0x309C538649C220
- Base-36: 3QQ3T2NU4O0
Squares and roots of 13682681431310880
- 13682681431310880 squared (136826814313108802) is 187215771150739551767635206374400
- 13682681431310880 cubed (136826814313108803) is 2561613755572771205823627376894378146724073472000
-
The
square root of 13682681431310880 is 116972994.4530398009 -
The
cube root of 13682681431310880 is 239179.3815123949
Scales and comparisons
How big is 13682681431310880?- 13,682,681,431,310,880 seconds is equal to 435,066,946 years, 10 weeks, 3 days, 22 hours, 48 minutes.
-
To count from 1 to 13,682,681,431,310,880 would take you about one billion, three hundred five million, two hundred thousand, eight hundred thirty-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 13682681431310880 cubic inches would be around 19931.6 feet tall.
Recreational maths with 13682681431310880
- 13682681431310880 backwards is 08801313418628631
- The number of decimal digits it has is: 17
- The sum of 13682681431310880's digits is 63
- More coming soon!
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The information we have on file for 13682681431310880 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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