13140353678816000
13,140,353,678,816,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13140353678816000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1944 divisors.
13140353678816000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 13140353678816000:
28 × 53 × 7 × 132 × 312 × 6012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 13 × 31 × 31 × 601 × 601)See below for interesting mathematical facts about the number 13140353678816000 from the Numbermatics database.
Names of 13140353678816000
- Cardinal: 13140353678816000 can be written as Thirteen quadrillion, one hundred forty trillion, three hundred fifty-three billion, six hundred seventy-eight million, eight hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.3140353678816 × 1016
Factors of 13140353678816000
Divisors of 13140353678816000
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 31 32 35 40 50 52 56 62 64 65 70 80 91 100 104 112 124 125 128 130 140 155 160 169 175 182 200 208 217 224 248 250 256 260 280 310 320 325 338 350 364 400 403 416 434 448 455 496 500 520 560 601 620 640 650 676 700 728 775 800 806 832 845 868 875 896 910 961 992 1000 1040 1085 1120 1183 1202 1240 1280 1300 1352 1400 1456 1550 1600 1612 1625 1664 1690 1736 1750 1792 1820 1922 1984 2000 2015 2080 2170 2240 2275 2366 2404 2480 2600 2704 2800 2821 2912 3005 3100 3200 3224 3250 3328 3380 3472 3500 3640 3844 3875 3968 4000 4030 4160 4207 4225 4340 4480 4550 4732 4805 4808 4960 5200 5239 5408 5425 5600 5642 5824 5915 6010 6200 6400 6448 6500 6727 6760 6944 7000 7280 7688 7750 7813 7936 8000 8060 8320 8414 8450 8680 8960 9100 9464 9610 9616 9920 10075 10400 10478 10816 10850 11200 11284 11375 11648 11830 12020 12400 12493 12896 13000 13454 13520 13888 14000 14105 14560 15025 15376 15500 15626 16000 16120 16640 16828 16900 17360 18200 18631 18928 19220 19232 19840 20150 20800 20956 21035 21125 21632 21700 22400 22568 22750 23296 23660 24025 24040 24800 24986 25792 26000 26195 26908 27040 27125 27776 28000 28210 29120 29575 30050 30752 31000 31252 32000 32240 33635 33656 33800 34720 36400 36673 37262 37856 38440 38464 39065 39680 40300 41600 41912 42070 42250 43264 43400 44800 45136 45500 47320 48050 48080 49600 49972 50375 51584 52000 52390 53816 54080 54250 54691 55552 56000 56420 58240 59150 60100 61504 62000 62465 62504 64480 67270 67312 67600 69440 70525 72800 73346 74524 75125 75712 76880 76928 78130 80600 83200 83824 84140 84500 86800 87451 90272 91000 93155 94640 96100 96160 99200 99944 100750 101569 103168 104000 104780 105175 107632 108160 108500 109382 112000 112840 116480 118300 120125 120200 123008 124000 124930 125008 128960 130417 130975 134540 134624 135200 138880 141050 145600 146692 147875 149048 150250 151424 153760 153856 156260 161200 162409 167648 168175 168280 169000 173600 174902 180544 182000 183365 186310 189280 192200 192320 195325 198400 199888 201500 203138 208000 209560 210350 215264 216320 217000 218764 224000 225680 236600 240250 240400 242203 246016 248000 249860 250016 257920 260834 261950 269080 269248 270400 273455 277760 282100 291200 293384 295750 298096 300500 302848 307520 312325 312520 322400 324818 335296 336350 336560 338000 347200 349804 352625 361088 361201 364000 366730 372620 378560 384400 384640 390650 399776 403000 406276 416000 419120 420700 430528 434000 437255 437528 451360 465775 473200 480500 480800 484406 496000 499720 500032 507845 515840 521668 523900 525875 538160 538496 540800 546910 564200 577561 582400 586768 591500 596192 601000 615040 624650 625040 644800 649636 652085 654875 670592 672700 673120 676000 694400 699608 705250 710983 722176 722402 728000 733460 745240 757120 768800 769280 781300 799552 806000 812045 812552 838240 840875 841400 861056 868000 874510 875056 902720 916825 931550 946400 961000 961600 968812 976625 992000 999440 1000064 1015690 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6270449360 6297278000 6468683200 6569756375 6573858200 6727430528 6781684000 6832546630 6836812528 6942283220 7052951360 7166227840 7275923200 7278200150 7508293000 7512980800 7569328156 7630371125 7750496000 7808624720 7813500032 7838061700 8085854000 8090902400 8151584168 8217322750 8409288160 8414538496 8546015660 8677854025 8816189200 8957784800 9024968186 9094904000 9240976000 9316096192 9391226000 9461660195 9610615040 9719196508 9760780900 9766875040 9797577125 10032718976 10075644800 10113628000 10189480210 10511610200 10518173120 10682519575 10850694400 10932074608 11020236500 11107653152 11197231000 11375728000 11558432000 11645120240 12013268800 12148995635 12200976125 12208593800 12493799552 12540898720 12594556000 12937366400 13139512750 13147716400 13246324273 13454861056 13563368000 13665093260 13673625056 13884566440 14105902720 14332455680 14556400300 15016586000 15025961600 15138656312 15260742250 15617249440 15627000064 15676123400 16171708000 16181804800 16303168336 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44080946000 44430612608 44788924000 45124840930 46580480960 47308300975 48053075200 48595982540 48803904500 48834375200 50163594880 50378224000 50947401050 52558051000 52590865600 52985297092 53412597875 54253472000 54660373040 54694500224 55538265760 58225601200 58662293209 60066344000 60554625248 60744978175 61042969000 62468997760 62704493600 63174777302 64686832000 65212673344 65738582000 66231621365 67274305280 68325466300 68368125280 69422832200 70529513600 71662278400 72199745488 72782001500 75129808000 75693281560 77753572064 78086247200 78135000320 78380617000 80909024000 81515841680 84092881600 85406832875 85460156600 86778540250 87456596864 88161892000 88861225216 89577848000 90249681860 93160961920 94616601950 97191965080 97607809000 97668750400 100327189760 100756448000 101894802100 105116102000 105181731200 105970594184 106825195750 109320746080 109389000448 111076531520 112812102325 116451202400 117324586418 120132688000 121109250496 121489956350 122085938000 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388767860320 390431236000 390675001600 407579208400 410636052463 420464408000 423882376736 427300783000 437282984320 444306126080 451248409300 465804809600 469298345672 473083009750 484437001984 485959825400 488343752000 501635948800 505398218416 509474010500 525908656000 529852970920 546603730400 546945002240 555382657600 564060511625 577597963904 582256012000 586622932090 605546252480 607449781750 622028576512 624689977600 627044936000 631747773020 652126733440 662316213650 683254663000 683681252800 694228322000 705295136000 721997454880 756932815600 777535720640 780862472000 789684716275 815158416800 821272104926 840928816000 847764753472 854601566000 874565968640 902496818600 931609619200 938596691344 946166019500 971919650800 976687504000 1010796436832 1018948021000 1051817312000 1059705941840 1093207460800 1110765315200 1128121023250 1155195927808 1164512024000 1173245864180 1211092504960 1214899563500 1254089872000 1263495546040 1304253466880 1324632427300 1366509326000 1367362505600 1388456644000 1443994909760 1466557330225 1513865631200 1555071441280 1561724944000 1579369432550 1630316833600 1642544209852 1655790534125 1681857632000 1695529506944 1709203132000 1804993637200 1877193382688 1892332039000 1943839301600 1953375008000 2021592873664 2037896042000 2053180262315 2119411883680 2186414921600 2221530630400 2256242046500 2329024048000 2346491728360 2422185009920 2429799127000 2508179744000 2526991092080 2649264854600 2733018652000 2734725011200 2776913288000 2887989819520 2933114660450 3027731262400 3110142882560 3123449888000 3158738865100 3260633667200 3285088419704 3311581068250 3391059013888 3418406264000 3609987274400 3754386765376 3784664078000 3887678603200 3948423581375 4043185747328 4075792084000 4106360524630 4238823767360 4372829843200 4512484093000 4658048096000 4692983456720 4859598254000 5053982184160 5298529709200 5466037304000 5553826576000 5775979639040 5866229320900 6055462524800 6317477730200 6521267334400 6570176839408 6623162136500 6836812528000 7219974548800 7332786651125 7508773530752 7569328156000 7775357206400 7896847162750 8086371494656 8151584168000 8212721049260 8477647534720 9024968186000 9385966913440 9719196508000 10107964368320 10265901311575 10597059418400 10932074608000 11107653152000 11732458641800 12110925049600 12634955460400 13140353678816 13246324273000 13673625056000 14439949097600 14665573302250 15017547061504 15138656312000 15550714412800 15793694325500 16303168336000 16425442098520 16955295069440 18049936372000 18771933826880 19438393016000 20215928736640 20531802623150 21194118836800 21864149216000 23464917283600 25269910920800 26280707357632 26492648546000 28879898195200 29331146604500 30277312624000 31587388651000 32606336672000 32850884197040 36099872744000 37543867653760 38876786032000 40431857473280 41063605246300 42388237673600 46929834567200 50539821841600 51329506557875 52561414715264 52985297092000 58662293209000 60554625248000 63174777302000 65701768394080 72199745488000 75087735307520 77753572064000 82127210492600 84776475347200 93859669134400 101079643683200 102659013115750 105122829430528 105970594184000 117324586418000 126349554604000 131403536788160 144399490976000 164254420985200 187719338268800 202159287366400 205318026231500 211941188368000 234649172836000 252699109208000 262807073576320 328508841970400 375438676537600 410636052463000 423882376736000 469298345672000 505398218416000 525614147152640 657017683940800 821272104926000 938596691344000 1010796436832000 1314035367881600 1642544209852000 1877193382688000 2628070735763200 3285088419704000 6570176839408000 13140353678816000
- Sum of all divisors σ(n): 41928370787380896
- Sum of proper divisors (its aliquot sum) s(n): 28788017108564896
- 13140353678816000 is an abundant number, because the sum of its proper divisors (28788017108564896) is greater than itself. Its abundance is 15647663429748896
Bases of 13140353678816000
- Binary: 1011101010111100010101000000010011111110110011000000002
- Hexadecimal: 0x2EAF15013FB300
- Base-36: 3LDV756HLVK
Squares and roots of 13140353678816000
- 13140353678816000 squared (131403536788160002) is 172668894804373184887161856000000
- 13140353678816000 cubed (131403536788160003) is 2268930347059738088676959828338830442496000000000
-
The
square root of 13140353678816000 is 114631381.7364861043 -
The
cube root of 13140353678816000 is 235976.6428024347
Scales and comparisons
How big is 13140353678816000?- 13,140,353,678,816,000 seconds is equal to 417,822,601 years, 10 weeks, 4 days, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 13,140,353,678,816,000 would take you about one billion, two hundred fifty-three million, four hundred sixty-seven thousand, eight hundred three 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 13140353678816000 cubic inches would be around 19664.7 feet tall.
Recreational maths with 13140353678816000
- 13140353678816000 backwards is 00061887635304131
- 13140353678816000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13140353678816000's digits is 56
- More coming soon!
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The information we have on file for 13140353678816000 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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