13706345820713999040
13,706,345,820,713,999,040 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13706345820713999040 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 672 divisors.
13706345820713999040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 13706345820713999040:
26 × 32 × 5 × 7 × 101 × 1871 × 3597791539
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 101 × 1871 × 3597791539)See below for interesting mathematical facts about the number 13706345820713999040 from the Numbermatics database.
Names of 13706345820713999040
- Cardinal: 13706345820713999040 can be written as Thirteen quintillion, seven hundred six quadrillion, three hundred forty-five trillion, eight hundred twenty billion, seven hundred thirteen million, nine hundred ninety-nine thousand and forty.
Scientific notation
- Scientific notation: 1.370634582071399904 × 1019
Factors of 13706345820713999040
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 3597793528
Divisors of 13706345820713999040
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 64 70 72 80 84 90 96 101 105 112 120 126 140 144 160 168 180 192 202 210 224 240 252 280 288 303 315 320 336 360 404 420 448 480 504 505 560 576 606 630 672 707 720 808 840 909 960 1008 1010 1120 1212 1260 1344 1414 1440 1515 1616 1680 1818 1871 2016 2020 2121 2240 2424 2520 2828 2880 3030 3232 3360 3535 3636 3742 4032 4040 4242 4545 4848 5040 5613 5656 6060 6363 6464 6720 7070 7272 7484 8080 8484 9090 9355 9696 10080 10605 11226 11312 12120 12726 13097 14140 14544 14968 16160 16839 16968 18180 18710 19392 20160 21210 22452 22624 24240 25452 26194 28065 28280 29088 29936 31815 32320 33678 33936 36360 37420 39291 42420 44904 45248 48480 50904 52388 56130 56560 58176 59872 63630 65485 67356 67872 72720 74840 78582 84195 84840 89808 96960 101808 104776 112260 113120 117873 119744 127260 130970 134712 135744 145440 149680 157164 168390 169680 179616 188971 196455 203616 209552 224520 226240 235746 254520 261940 269424 290880 299360 314328 336780 339360 359232 377942 392910 407232 419104 449040 471492 509040 523880 538848 566913 589365 598720 628656 673560 678720 755884 785820 838208 898080 942984 944855 1018080 1047760 1077696 1133826 1178730 1257312 1322797 1347120 1511768 1571640 1700739 1796160 1885968 1889710 2036160 2095520 2267652 2357460 2514624 2645594 2694240 2834565 3023536 3143280 3401478 3771936 3779420 3968391 4191040 4535304 4714920 5291188 5388480 5669130 6047072 6286560 6613985 6802956 7543872 7558840 7936782 8503695 9070608 9429840 10582376 11338260 11905173 12094144 12573120 13227970 13605912 15117680 15873564 17007390 18141216 18859680 19841955 21164752 22676520 23810346 26455940 27211824 30235360 31747128 34014780 36282432 37719360 39683910 42329504 45353040 47620692 52911880 54423648 59525865 60470720 63494256 68029560 79367820 84659008 90706080 95241384 105823760 108847296 119051730 126988512 136059120 158735640 181412160 190482768 211647520 238103460 253977024 272118240 317471280 380965536 423295040 476206920 544236480 634942560 761931072 952413840 1269885120 1904827680 3597791539 3809655360 7195583078 10793374617 14391166156 17988957695 21586749234 25184540773 28782332312 32380123851 35977915390 43173498468 50369081546 53966873085 57564664624 64760247702 71955830780 75553622319 86346996936 100738163092 107933746170 115129329248 125922703865 129520495404 143911661560 151107244638 161900619255 172693993872 201476326184 215867492340 226660866957 230258658496 251845407730 259040990808 287823323120 302214489276 323801238510 345387987744 363376945439 377768111595 402952652368 431734984680 453321733914 503690815460 518081981616 575646646240 604428978552 647602477020 690775975488 726753890878 755536223190 805905304736 863469969360 906643467828 1007381630920 1036163963232 1090130836317 1133304334785 1151293292480 1208857957104 1295204954040 1453507781756 1511072446380 1611810609472 1726939938720 1813286935656 1816884727195 2014763261840 2072327926464 2180261672634 2266608669570 2417715914208 2543638618073 2590409908080 2907015563512 3022144892760 3270392508951 3453879877440 3626573871312 3633769454390 4029526523680 4360523345268 4533217339140 4835431828416 5087277236146 5180819816160 5450654181585 5814031127024 6044289785520 6540785017902 6731467969469 7253147742624 7267538908780 7630915854219 8059053047360 8721046690536 9066434678280 10174554472292 10361639632320 10901308363170 11628062254048 12088579571040 12718193090365 13081570035804 13462935938938 14506295485248 14535077817560 15261831708438 16351962544755 17442093381072 18132869356560 20194403908407 20349108944584 21802616726340 22892747562657 23256124508096 24177159142080 25436386180730 26163140071608 26925871877876 29070155635120 30523663416876 32703925089510 33657339847345 34884186762144 36265738713120 38154579271095 40388807816814 40698217889168 43605233452680 45785495125314 47120275786283 50872772361460 52326280143216 53851743755752 58140311270240 60583211725221 61047326833752 65407850179020 67314679694690 69768373524288 72531477426240 76309158542190 80777615633628 81396435778336 87210466905360 91570990250628 94240551572566 100972019542035 101745544722920 104652560286432 107703487511504 114463737813285 116280622540480 121166423450442 122094653667504 130815700358040 134629359389380 141360827358849 152618317084380 161555231267256 162792871556672 174420933810720 183141980501256 188481103145132 201944039084070 203491089445840 209305120572864 215406975023008 228927475626570 235601378931415 242332846900884 244189307335008 261631400716080 269258718778760 282721654717698 302916058626105 305236634168760 323110462534512 348841867621440 366283961002512 376962206290264 403888078168140 406982178891680 424082482076547 430813950046016 457854951253140 471202757862830 484665693801768 488378614670016 523262801432160 538517437557520 565443309435396 605832117252210 610473268337520 646220925069024 679878264916369 706804136794245 732567922005024 753924412580528 807776156336280 813964357783360 848164964153094 915709902506280 942405515725660 969331387603536 1046525602864320 1077034875115040 1130886618870792 1211664234504420 1220946536675040 1292441850138048 1359756529832738 1413608273588490 1465135844010048 1507848825161056 1615552312672560 1696329928306188 1831419805012560 1884811031451320 1938662775207072 2039634794749107 2120412410382735 2154069750230080 2261773237741584 2423328469008840 2441893073350080 2719513059665476 2827216547176980 3015697650322112 3231104625345120 3392659856612376 3399391324581845 3662839610025120 3769622062902640 3877325550414144 4079269589498214 4240824820765470 4523546475483168 4759147854414583 4846656938017680 5439026119330952 5654433094353960 6118904384247321 6462209250690240 6785319713224752 6798782649163690 7325679220050240 7539244125805280 8158539178996428 8481649641530940 9047092950966336 9518295708829166 9693313876035360 10198173973745535 10878052238661904 11308866188707920 12237808768494642 13570639426449504 13597565298327380 14277443563243749 15078488251610560 16317078357992856 16963299283061880 19036591417658332 19386627752070720 20396347947491070 21756104477323808 22617732377415840 23795739272072915 24475617536989284 27141278852899008 27195130596654760 28554887126487498 30594521921236605 32634156715985712 33926598566123760 38073182835316664 40792695894982140 42832330689731247 43512208954647616 45235464754831680 47591478544145830 48951235073978568 54390261193309520 57109774252974996 61189043842473210 65268313431971424 67853197132247520 71387217816218745 76146365670633328 81585391789964280 85664661379462494 95182957088291660 97902470147957136 108780522386619040 114219548505949992 122378087684946420 130536626863942848 135706394264495040 142774435632437490 152292731341266656 163170783579928560 171329322758924988 190365914176583320 195804940295914272 214161653448656235 217561044773238080 228439097011899984 244756175369892840 285548871264874980 304585462682533312 326341567159857120 342658645517849976 380731828353166640 391609880591828544 428323306897312470 456878194023799968 489512350739785680 571097742529749960 652683134319714240 685317291035699952 761463656706333280 856646613794624940 913756388047599936 979024701479571360 1142195485059499920 1370634582071399904 1522927313412666560 1713293227589249880 1958049402959142720 2284390970118999840 2741269164142799808 3426586455178499760 4568781940237999680 6853172910356999520 13706345820713999040
- Sum of all divisors σ(n): 54441530140824852480
- Sum of proper divisors (its aliquot sum) s(n): 40735184320110853440
- 13706345820713999040 is an abundant number, because the sum of its proper divisors (40735184320110853440) is greater than itself. Its abundance is 27028838499396854400
Bases of 13706345820713999040
- Binary: 10111110001101101011100011100111100101000101000101011010110000002
- Hexadecimal: 0xBE36B8E794515AC0
- Base-36: 2W4U63CCZ4FK0
Squares and roots of 13706345820713999040
- 13706345820713999040 squared (137063458207139990402) is 187863915757004107915285820229120921600
- 13706345820713999040 cubed (137063458207139990403) is 2574927796598980045748648522530253463015912630066315264000
-
The
square root of 13706345820713999040 is 3702208235.7309399513 -
The
cube root of 13706345820713999040 is 2393171.9012701201
Scales and comparisons
How big is 13706345820713999040?- 13,706,345,820,713,999,040 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,706,345,820,713,999,040 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 13706345820713999040 cubic inches would be around 199431 feet tall.
Recreational maths with 13706345820713999040
- 13706345820713999040 backwards is 04099931702854360731
- The number of decimal digits it has is: 20
- The sum of 13706345820713999040's digits is 81
- More coming soon!
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The information we have on file for 13706345820713999040 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!
Keywords: Divisors of 13706345820713999040, math, Factors of 13706345820713999040, curriculum, school, college, exams, university, Prime factorization of 13706345820713999040, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, seven hundred six quadrillion, three hundred forty-five trillion, eight hundred twenty billion, seven hundred thirteen million, nine hundred ninety-nine thousand and forty.