13820413419146880
13,820,413,419,146,880 is an even composite number composed of seven prime numbers multiplied together.
13820413419146880 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 13820413419146880:
27 × 32 × 5 × 7 × 13 × 42349 × 622607
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 42349 × 622607)See below for interesting mathematical facts about the number 13820413419146880 from the Numbermatics database.
Names of 13820413419146880
- Cardinal: 13820413419146880 can be written as Thirteen quadrillion, eight hundred twenty trillion, four hundred thirteen billion, four hundred nineteen million, one hundred forty-six thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.382041341914688 × 1016
Factors of 13820413419146880
Divisors of 13820413419146880
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 52 56 60 63 64 65 70 72 78 80 84 90 91 96 104 105 112 117 120 126 128 130 140 144 156 160 168 180 182 192 195 208 210 224 234 240 252 260 273 280 288 312 315 320 336 360 364 384 390 416 420 448 455 468 480 504 520 546 560 576 585 624 630 640 672 720 728 780 819 832 840 896 910 936 960 1008 1040 1092 1120 1152 1170 1248 1260 1344 1365 1440 1456 1560 1638 1664 1680 1820 1872 1920 2016 2080 2184 2240 2340 2496 2520 2688 2730 2880 2912 3120 3276 3360 3640 3744 4032 4095 4160 4368 4480 4680 4992 5040 5460 5760 5824 6240 6552 6720 7280 7488 8064 8190 8320 8736 9360 10080 10920 11648 12480 13104 13440 14560 14976 16380 17472 18720 20160 21840 24960 26208 29120 32760 34944 37440 40320 42349 43680 52416 58240 65520 74880 84698 87360 104832 127047 131040 169396 174720 211745 254094 262080 296443 338792 381141 423490 508188 524160 550537 592886 622607 635235 677584 762282 846980 889329 1016376 1101074 1185772 1245214 1270470 1355168 1482215 1524564 1651611 1693960 1778658 1867821 1905705 2032752 2202148 2371544 2490428 2540940 2667987 2710336 2752685 2964430 3049128 3113035 3303222 3387920 3557316 3735642 3811410 3853759 4065504 4358249 4404296 4446645 4743088 4954833 4980856 5081880 5335974 5420672 5505370 5603463 5928860 6098256 6226070 6606444 6775840 7114632 7471284 7622820 7707518 8093891 8131008 8258055 8716498 8808592 8893290 9339105 9486176 9909666 9961712 10163760 10671948 11010740 11206926 11561277 11857720 12196512 12452140 13074747 13212888 13339935 13551680 14229264 14942568 15245640 15415036 16187782 16262016 16516110 17432996 17617184 17786580 18678210 18972352 19268795 19819332 19923424 20327520 21343896 21791245 22021480 22413852 23122554 23715440 24281673 24393024 24774165 24904280 26149494 26425776 26679870 27103360 28017315 28458528 29885136 30491280 30830072 32375564 33032220 34683831 34865992 35234368 35573160 37356420 37944704 38537590 39224241 39638664 39846848 40469455 40655040 42687792 43582490 44042960 44827704 46245108 47430880 48563346 48786048 49548330 49808560 52298988 52851552 53359740 56034630 56657237 56917056 57806385 59770272 60982560 61660144 64751128 65373735 66064440 69367662 69731984 70468736 71146320 72845019 74712840 77075180 78448482 79277328 79693696 80938910 81310080 85375584 87164980 88085920 89655408 92490216 94861760 97126692 99096660 99617120 104597976 105703104 106719480 112069260 113314474 113834112 115612770 119540544 121408365 121965120 123320288 129502256 130747470 132128880 138735324 139463968 142292640 145690038 149425680 154150360 156896964 158554656 161877820 169971711 170751168 173419155 174329960 176171840 179310816 184980432 189723520 194253384 196121205 198193320 199234240 209195952 211406208 213438960 224138520 226628948 231225540 239081088 242816730 243930240 246640576 259004512 261494940 264257760 277470648 278927936 283286185 284585280 291380076 298851360 308300720 313793928 317109312 323755640 339943422 341502336 346838310 348659920 352343680 358621632 364225095 369960864 388506768 392242410 396386640 398468480 418391904 426877920 448277040 453257896 462451080 485633460 493281152 509915133 518009024 522989880 528515520 554941296 557855872 566572370 569170560 582760152 597702720 616601440 627587856 634218624 647511280 679886844 693676620 697319840 717243264 728450190 739921728 777013536 784484820 792773280 836783808 849858555 853755840 896554080 906515792 924902160 971266920 1019830266 1036018048 1045979760 1057031040 1109882592 1133144740 1165520304 1195405440 1233202880 1255175712 1295022560 1359773688 1387353240 1394639680 1456900380 1479843456 1554027072 1568969640 1585546560 1673567616 1699717110 1707511680 1793108160 1813031584 1849804320 1942533840 2039660532 2091959520 2219765184 2266289480 2331040608 2466405760 2510351424 2549575665 2590045120 2719547376 2774706480 2789279360 2913800760 3108054144 3137939280 3171093120 3399434220 3586216320 3626063168 3699608640 3885067680 4079321064 4183919040 4439530368 4532578960 4662081216 5020702848 5099151330 5180090240 5439094752 5549412960 5827601520 6275878560 6798868440 7252126336 7399217280 7770135360 8158642128 8367838080 9065157920 9324162432 10198302660 10878189504 11098825920 11655203040 12551757120 13597736880 15540270720 16317284256 18130315840 20396605320 21756379008 22197651840 23310406080 25103514240 26366783843 27195473760 32634568512 36260631680 40793210640 46620812160 52733567686 54390947520 65269137024 79100351529 81586421280 105467135372 108781895040 131833919215 158200703058 163172842560 184567486901 210934270744 237301054587 263667838430 316401406116 326345685120 342768189959 369134973802 395501757645 421868541488 474602109174 527335676860 553702460703 632802812232 685536379918 738269947604 791003515290 843737082976 922837434505 949204218348 1028304569877 1054671353720 1107404921406 1186505272935 1265605624464 1371072759836 1476539895208 1582007030580 1661107382109 1687474165952 1713840949795 1845674869010 1898408436696 2056609139754 2109342707440 2214809842812 2373010545870 2399377329713 2531211248928 2742145519672 2768512303515 2953079790416 3084913709631 3164014061160 3322214764218 3374948331904 3427681899590 3691349738020 3796816873392 4113218279508 4218685414880 4429619685624 4746021091740 4798754659426 5062422497856 5141522849385 5484291039344 5537024607030 5906159580832 6169827419262 6328028122320 6644429528436 6855363799180 7198131989139 7382699476040 7593633746784 8226436559016 8305536910545 8437370829760 8859239371248 9492042183480 9597509318852 10124844995712 10283045698770 10968582078688 11074049214060 11812319161664 11996886648565 12339654838524 12656056244640 13288859056872 13710727598360 14396263978278 14765398952080 15187267493568 15424568548155 16452873118032 16611073821090 16874741659520 17718478742496 18984084366960 19195018637704 20566091397540 21594395967417 21937164157376 22148098428120 23624638323328 23993773297130 24679309677048 25312112489280 26577718113744 27421455196720 28792527956556 29530797904160 30374534987136 30849137096310 32905746236064 33222147642180 35436957484992 35990659945695 37968168733920 38390037275408 41132182795080 43188791934834 43874328314752 44296196856240 47987546594260 49358619354096 50624224978560 53155436227488 54842910393440 57585055913112 59061595808320 61698274192620 65811492472128 66444295284360 70873914969984 71981319891390 75936337467840 76780074550816 82264365590160 86377583869668 88592393712480 95975093188520 98717238708192 106310872454976 107971979837085 109685820786880 115170111826224 118123191616640 123396548385240 131622984944256 132888590568720 143962639782780 151872674935680 153560149101632 164528731180320 172755167739336 177184787424960 191950186377040 197434477416384 212621744909952 215943959674170 219371641573760 230340223652448 246793096770480 265777181137440 287925279565560 307120298203264 329057462360640 345510335478672 354369574849920 383900372754080 394868954832768 431887919348340 460680447304896 493586193540960 531554362274880 575850559131120 658114924721280 691020670957344 767800745508160 863775838696680 921360894609792 987172387081920 1063108724549760 1151701118262240 1382041341914688 1535601491016320 1727551677393360 1974344774163840 2303402236524480 2764082683829376 3455103354786720 4606804473048960 6910206709573440 13820413419146880
- Sum of all divisors σ(n): 58738238342784000
- Sum of proper divisors (its aliquot sum) s(n): 44917824923637120
- 13820413419146880 is an abundant number, because the sum of its proper divisors (44917824923637120) is greater than itself. Its abundance is 31097411504490240
Bases of 13820413419146880
- Binary: 1100010001100110010111110000000111111101001110100000002
- Hexadecimal: 0x311997C07F4E80
- Base-36: 3S2XE9X9CW0
Squares and roots of 13820413419146880
- 13820413419146880 squared (138204134191468802) is 191003827076135154206987013734400
- 13820413419146880 cubed (138204134191468803) is 2639751854831428461980820359623561314490908672000
-
The
square root of 13820413419146880 is 117560254.4193694743 -
The
cube root of 13820413419146880 is 239979.2425285159
Scales and comparisons
How big is 13820413419146880?- 13,820,413,419,146,880 seconds is equal to 439,446,397 years, 19 weeks, 6 days, 12 hours, 48 minutes.
-
To count from 1 to 13,820,413,419,146,880 would take you about one billion, three hundred eighteen million, three hundred thirty-nine thousand, one hundred ninety-two 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 13820413419146880 cubic inches would be around 19998.3 feet tall.
Recreational maths with 13820413419146880
- 13820413419146880 backwards is 08864191431402831
- 13820413419146880 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13820413419146880's digits is 63
- More coming soon!
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The information we have on file for 13820413419146880 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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