13086896146800
13,086,896,146,800 is an even composite number composed of seven prime numbers multiplied together.
13086896146800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 13086896146800:
24 × 3 × 52 × 72 × 17 × 941 × 13913
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 17 × 941 × 13913)See below for interesting mathematical facts about the number 13086896146800 from the Numbermatics database.
Names of 13086896146800
- Cardinal: 13086896146800 can be written as Thirteen trillion, eighty-six billion, eight hundred ninety-six million, one hundred forty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.30868961468 × 1013
Factors of 13086896146800
Divisors of 13086896146800
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 34 35 40 42 48 49 50 51 56 60 68 70 75 80 84 85 98 100 102 105 112 119 120 136 140 147 150 168 170 175 196 200 204 210 238 240 245 255 272 280 294 300 336 340 350 357 392 400 408 420 425 476 490 510 525 560 588 595 600 680 700 714 735 784 816 833 840 850 941 952 980 1020 1050 1176 1190 1200 1225 1275 1360 1400 1428 1470 1666 1680 1700 1785 1882 1904 1960 2040 2100 2352 2380 2450 2499 2550 2800 2823 2856 2940 2975 3332 3400 3570 3675 3764 3920 4080 4165 4200 4705 4760 4900 4998 5100 5646 5712 5880 5950 6587 6664 6800 7140 7350 7528 8330 8400 8925 9410 9520 9800 9996 10200 11292 11760 11900 12495 13174 13328 13913 14115 14280 14700 15056 15997 16660 17850 18820 19600 19761 19992 20400 20825 22584 23525 23800 24990 26348 27826 28230 28560 29400 31994 32935 33320 35700 37640 39522 39984 41650 41739 45168 46109 47050 47600 47991 49980 52696 55652 56460 58800 62475 63988 65870 66640 69565 70575 71400 75280 79044 79985 83300 83478 92218 94100 95982 97391 98805 99960 105392 111304 111979 112920 124950 127976 131740 138327 139130 141150 142800 158088 159970 164675 166600 166956 184436 188200 191964 194782 197610 199920 208695 222608 223958 225840 230545 236521 239955 249900 255952 263480 276654 278260 282300 292173 316176 319940 329350 333200 333912 335937 347825 368872 376400 383928 389564 395220 399925 417390 447916 461090 473042 479910 486955 494025 499800 526960 553308 556520 559895 564600 584346 639880 658700 667824 671874 681737 691635 695650 709563 737744 767856 779128 783853 790440 799850 834780 895832 922180 946084 959820 973910 988050 999600 1043475 1106616 1113040 1119790 1129200 1152725 1168692 1182605 1199775 1279760 1317400 1343748 1363474 1383270 1391300 1419126 1460865 1558256 1567706 1580880 1599700 1655647 1669560 1679685 1791664 1844360 1892168 1919640 1947820 1976100 2045211 2086950 2213232 2239580 2305450 2337384 2351559 2365210 2399550 2434775 2634800 2687496 2726948 2766540 2782600 2799475 2838252 2921730 3135412 3199400 3311294 3339120 3359370 3408685 3458175 3547815 3688720 3784336 3839280 3895640 3919265 3952200 4090422 4173900 4479160 4610900 4674768 4703118 4730420 4799100 4869550 4966941 5374992 5453896 5533080 5565200 5598950 5676504 5843460 5913025 6270824 6398800 6622588 6718740 6817370 6916350 7095630 7304325 7791280 7838530 7904400 8180844 8278235 8347800 8398425 8958320 9221800 9406236 9460840 9598200 9739100 9933882 10226055 10907792 11066160 11197900 11353008 11589529 11686920 11757795 11826050 12541648 13092133 13245176 13437480 13634740 13832700 14191260 14608650 15677060 16361688 16556470 16695600 16796850 17043425 17739075 18443600 18812472 18921680 19196400 19478200 19596325 19867764 20452110 22395800 23179058 23373840 23515590 23652100 24834705 26184266 26490352 26874960 27269480 27665400 28382520 29217300 31354120 32723376 33112940 33593700 34086850 34768587 35478150 37624944 38956400 39192650 39276399 39735528 40904220 41391175 44791600 46358116 47031180 47304200 49669410 51130275 52368532 54538960 55330800 56765040 57947645 58434600 58788975 62708240 65460665 66225880 67187400 68173700 69537174 70956300 78385300 78552798 79471056 81808440 82782350 91644931 92716232 94062360 94608400 99338820 102260550 104737064 115895290 116869200 117577950 124173525 130921330 132451760 134374800 136347400 139074348 141912600 156770600 157105596 163616880 165564700 173842935 183289862 185432464 188124720 196381995 198677640 204521100 209474128 222566261 231790580 235155900 248347050 261842660 272694800 274934793 278148696 283825200 289738225 313541200 314211192 327303325 331129400 347685870 366579724 392763990 397355280 409042200 445132522 458224655 463581160 470311800 496694100 523685320 549869586 556297392 579476450 628422384 641514517 654606650 662258800 667698783 695371740 733159448 785527980 818084400 869214675 890265044 916449310 927162320 940623600 981909975 993388200 1047370640 1099739172 1112831305 1158952900 1283029034 1309213300 1335397566 1374673965 1390743480 1466318896 1557963827 1571055960 1738429350 1780530088 1832898620 1924543551 1963819950 1986776400 2199478344 2225662610 2291123275 2317905800 2566058068 2618426600 2670795132 2749347930 2781486960 3115927654 3142111920 3207572585 3338493915 3476858700 3561060176 3665797240 3849087102 3927639900 4398956688 4451325220 4582246550 4635811600 4673891481 5132116136 5236853200 5341590264 5498695860 5564156525 6231855308 6415145170 6676987830 6873369825 6953717400 7331594480 7698174204 7789819135 7855279800 8902650440 9164493100 9347782962 9622717755 10264232272 10683180528 10905746789 10997391720 11128313050 12463710616 12830290340 13353975660 13746739650 13907434800 15396348408 15579638270 15710559600 16037862925 16692469575 17805300880 18328986200 18695565924 19245435510 21811493578 21994783440 22256626100 23369457405 24927421232 25660580680 26707951320 27493479300 30792696816 31159276540 32075725850 32717240367 33384939150 36657972400 37391131848 38490871020 38949095675 43622987156 44513252200 46738914810 48113588775 51321161360 53415902640 54528733945 54986958600 62318553080 64151451700 65434480734 66769878300 74782263696 76981742040 77898191350 87245974312 89026504400 93477829620 96227177550 109057467890 109973917200 116847287025 124637106160 128302903400 130868961468 133539756600 153963484080 155796382700 163586201835 174491948624 186955659240 192454355100 218114935780 233694574050 256605806800 261737922936 267079513200 272643669725 311592765400 327172403670 373911318480 384908710200 436229871560 467389148100 523475845872 545287339450 623185530800 654344807340 769817420400 817931009175 872459743120 934778296200 1090574678900 1308689614680 1635862018350 1869556592400 2181149357800 2617379229360 3271724036700 4362298715600 6543448073400 13086896146800
- Sum of all divisors σ(n): 51693226680672
- Sum of proper divisors (its aliquot sum) s(n): 38606330533872
- 13086896146800 is an abundant number, because the sum of its proper divisors (38606330533872) is greater than itself. Its abundance is 25519434387072
Bases of 13086896146800
- Binary: 101111100111000001111100101111001001011100002
- Hexadecimal: 0xBE707CBC970
- Base-36: 4N01C2LIO
Squares and roots of 13086896146800
- 13086896146800 squared (130868961468002) is 171266850757128687150240000
- 13086896146800 cubed (130868961468003) is 2241351489248038078498218528695232000000
-
The
square root of 13086896146800 is 3617581.5328476013 -
The
cube root of 13086896146800 is 23565.6208147231
Scales and comparisons
How big is 13086896146800?- 13,086,896,146,800 seconds is equal to 416,122 years, 42 weeks, 3 days, 9 hours, 40 minutes.
-
To count from 1 to 13,086,896,146,800 would take you about one million, forty thousand, three hundred seven 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 13086896146800 cubic inches would be around 1963.8 feet tall.
Recreational maths with 13086896146800
- 13086896146800 backwards is 00864169868031
- 13086896146800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13086896146800's digits is 60
- More coming soon!
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The information we have on file for 13086896146800 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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