13829040918336000
13,829,040,918,336,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13829040918336000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2880 divisors.
13829040918336000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 13829040918336000:
29 × 3 × 53 × 73 × 432 × 3372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 43 × 43 × 337 × 337)See below for interesting mathematical facts about the number 13829040918336000 from the Numbermatics database.
Names of 13829040918336000
- Cardinal: 13829040918336000 can be written as Thirteen quadrillion, eight hundred twenty-nine trillion, forty billion, nine hundred eighteen million, three hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.3829040918336 × 1016
Factors of 13829040918336000
Divisors of 13829040918336000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 43 48 49 50 56 60 64 70 75 80 84 86 96 98 100 105 112 120 125 128 129 140 147 150 160 168 172 175 192 196 200 210 215 224 240 245 250 256 258 280 294 300 301 320 336 337 343 344 350 375 384 392 400 420 430 448 480 490 500 512 516 525 560 588 600 602 640 645 672 674 686 688 700 735 750 768 784 800 840 860 875 896 903 960 980 1000 1011 1029 1032 1050 1075 1120 1176 1200 1204 1225 1280 1290 1344 1348 1372 1376 1400 1470 1500 1505 1536 1568 1600 1680 1685 1715 1720 1750 1792 1806 1849 1920 1960 2000 2022 2058 2064 2100 2107 2150 2240 2352 2359 2400 2408 2450 2560 2580 2625 2688 2696 2744 2752 2800 2940 3000 3010 3136 3200 3225 3360 3370 3430 3440 3500 3584 3612 3675 3698 3840 3920 4000 4044 4116 4128 4200 4214 4300 4480 4515 4704 4718 4800 4816 4900 5055 5145 5160 5250 5375 5376 5392 5488 5504 5547 5600 5880 6000 6020 6125 6272 6321 6400 6450 6720 6740 6860 6880 7000 7077 7224 7350 7396 7525 7680 7840 8000 8088 8232 8256 8400 8425 8428 8575 8600 8960 9030 9245 9408 9436 9600 9632 9800 10110 10290 10320 10500 10535 10750 10752 10784 10976 11008 11094 11200 11760 11795 12000 12040 12250 12544 12642 12800 12900 12943 13440 13480 13720 13760 14000 14154 14448 14491 14700 14749 14792 15050 15680 16000 16125 16176 16464 16512 16513 16800 16850 16856 17150 17200 17920 18060 18375 18490 18816 18872 19200 19264 19600 20220 20580 20640 21000 21070 21500 21568 21952 22016 22188 22400 22575 23520 23590 24000 24080 24500 25088 25275 25284 25725 25800 25886 26880 26960 27440 27520 27735 28000 28308 28896 28982 29400 29498 29584 30100 31360 31605 32000 32250 32352 32928 33024 33026 33600 33700 33712 34300 34400 35385 36120 36750 36980 37625 37632 37744 38400 38528 38829 39200 40440 41160 41280 42000 42125 42140 42875 43000 43136 43473 43904 44247 44376 44800 45150 46225 47040 47180 48000 48160 49000 49539 50550 50568 51450 51600 51772 52675 53760 53920 54880 55040 55470 56000 56616 57792 57964 58800 58975 58996 59168 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536009337920 537572047360 546948304000 547143063040 551221337625 564450649728 574295719200 576210038264 586224710400 587969426800 612582100480 617367898140 623266672000 628135942875 629967243000 641183277000 643211205504 656337964800 658525758016 670011672400 671965059200 683928828800 705563312160 717869649000 720262547830 732780888000 734961783500 747920006400 752600866304 765727625600 771709872675 804014006880 806358071040 820422456000 820714594560 823157197520 837463872000 837514590500 839956324000 854911036000 857614940672 864315057396 881954140200 918873150720 934900008000 937625664000 940751082880 954319296000 957159532000 977041184000 987788637024 1005017508600 1007947588800 1025893243200 1028946496900 1068457152000 1072018675840 1080393821745 1093896608000 1102442675250 1128901299456 1148591438400 1152420076528 1172449420800 1175938853600 1234735796280 1246533344000 1256271885750 1259934486000 1282366554000 1286183121125 1286422411008 1312675929600 1317051516032 1340023344800 1343930118400 1367857657600 1411126624320 1435739298000 1440525095660 1465561776000 1469923567000 1495840012800 1531455251200 1543419745350 1608028013760 1612716142080 1640844912000 1641429189120 1646314395040 1675029181000 1679912648000 1709822072000 1728630114792 1763908280400 1800656369575 1837746301440 1869800016000 1881502165760 1914319064000 1954082368000 1975577274048 2010035017200 2015895177600 2051786486400 2057892993800 2144037351680 2160787643490 2187793216000 2204885350500 2257802598912 2297182876800 2304840153056 2351877707200 2469471592560 2493066688000 2512543771500 2519868972000 2564733108000 2572366242250 2572844822016 2634103032064 2680046689600 2687860236800 2735715315200 2822253248640 2871478596000 2881050191320 2931123552000 2939847134000 3062910502400 3086839490700 3216056027520 3281689824000 3292628790080 3350058362000 3359825296000 3419644144000 3457260229584 3527816560800 3601312739150 3739600032000 3763004331520 3828638128000 3858549363375 3951154548096 4020070034400 4031790355200 4103572972800 4115785987600 4288074703360 4321575286980 4409770701000 4594365753600 4609680306112 4703755414400 4938943185120 5025087543000 5039737944000 5129466216000 5144732484500 5268206064128 5360093379200 5401969108725 5644506497280 5742957192000 5762100382640 5862247104000 5879694268000 6173678981400 6432112055040 6563379648000 6585257580160 6700116724000 6719650592000 6839288288000 6914520459168 7055633121600 7202625478300 7479200064000 7657276256000 7717098726750 7902309096192 8040140068800 8063580710400 8207145945600 8231571975200 8643150573960 8819541402000 9003281847875 9188731507200 9219360612224 9407510828800 9877886370240 10050175086000 10079475888000 10258932432000 10289464969000 10720186758400 10803938217450 11289012994560 11485914384000 11524200765280 11759388536000 12347357962800 12864224110080 13170515160320 13400233448000 13439301184000 13678576576000 13829040918336 14111266243200 14405250956600 15314552512000 15434197453500 15804618192384 16080280137600 16463143950400 17286301147920 17639082804000 18006563695750 18438721224448 18815021657600 19755772740480 20100350172000 20158951776000 20517864864000 20578929938000 21440373516800 21607876434900 22971828768000 23048401530560 23518777072000 24694715925600 26341030320640 26800466896000 27009845543625 27658081836672 28222532486400 28810501913200 30868394907000 32160560275200 32926287900800 34572602295840 35278165608000 36013127391500 36877442448896 39511545480960 40200700344000 40317903552000 41035729728000 41157859876000 43215752869800 45943657536000 46096803061120 47037554144000 49389431851200 53600933792000 54019691087250 55316163673344 56445064972800 57621003826400 61736789814000 64321120550400 65852575801600 69145204591680 70556331216000 72026254783000 79023090961920 80401400688000 82315719752000 86431505739600 92193606122240 94075108288000 98778863702400 107201867584000 108039382174500 110632327346688 115242007652800 123473579628000 131705151603200 138290409183360 141112662432000 144052509566000 160802801376000 164631439504000 172863011479200 184387212244480 197557727404800 216078764349000 230484015305600 246947159256000 276580818366720 282225324864000 288105019132000 321605602752000 329262879008000 345726022958400 395115454809600 432157528698000 460968030611200 493894318512000 553161636733440 576210038264000 658525758016000 691452045916800 864315057396000 921936061222400 987788637024000 1152420076528000 1382904091833600 1728630114792000 1975577274048000 2304840153056000 2765808183667200 3457260229584000 4609680306112000 6914520459168000 13829040918336000
- Sum of all divisors σ(n): 55058102829100800
- Sum of proper divisors (its aliquot sum) s(n): 41229061910764800
- 13829040918336000 is an abundant number, because the sum of its proper divisors (41229061910764800) is greater than itself. Its abundance is 27400020992428800
Bases of 13829040918336000
- Binary: 1100010010000101110000011111111000010110010010000000002
- Hexadecimal: 0x3121707F859200
- Base-36: 3S5ZHOZIS5C
Squares and roots of 13829040918336000
- 13829040918336000 squared (138290409183360002) is 191242372721011398221008896000000
- 13829040918336000 cubed (138290409183360003) is 2644698597678531061576984259828265517056000000000
-
The
square root of 13829040918336000 is 117596942.6402574465 -
The
cube root of 13829040918336000 is 240029.1684359773
Scales and comparisons
How big is 13829040918336000?- 13,829,040,918,336,000 seconds is equal to 439,720,725 years, 8 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 13,829,040,918,336,000 would take you about one billion, three hundred nineteen million, one hundred sixty-two thousand, one hundred seventy-five 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 13829040918336000 cubic inches would be around 20002.4 feet tall.
Recreational maths with 13829040918336000
- 13829040918336000 backwards is 00063381904092831
- The number of decimal digits it has is: 17
- The sum of 13829040918336000's digits is 57
- More coming soon!
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"Number 13829040918336000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 13829040918336000 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/13829040918336000/
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The information we have on file for 13829040918336000 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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