13142126419968
13,142,126,419,968 is an even composite number composed of six prime numbers multiplied together.
What does the number 13142126419968 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 896 divisors.
13142126419968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 13142126419968:
213 × 3 × 73 × 13 × 43 × 2789
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 13 × 43 × 2789)See below for interesting mathematical facts about the number 13142126419968 from the Numbermatics database.
Names of 13142126419968
- Cardinal: 13142126419968 can be written as Thirteen trillion, one hundred forty-two billion, one hundred twenty-six million, four hundred nineteen thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3142126419968 × 1013
Factors of 13142126419968
Divisors of 13142126419968
- Number of divisors d(n): 896
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 43 48 49 52 56 64 78 84 86 91 96 98 104 112 128 129 147 156 168 172 182 192 196 208 224 256 258 273 294 301 312 336 343 344 364 384 392 416 448 512 516 546 559 588 602 624 637 672 686 688 728 768 784 832 896 903 1024 1029 1032 1092 1118 1176 1204 1248 1274 1344 1372 1376 1456 1536 1568 1664 1677 1792 1806 1911 2048 2058 2064 2107 2184 2236 2352 2408 2496 2548 2688 2744 2752 2789 2912 3072 3136 3328 3354 3584 3612 3822 3913 4096 4116 4128 4214 4368 4459 4472 4704 4816 4992 5096 5376 5488 5504 5578 5824 6144 6272 6321 6656 6708 7168 7224 7644 7826 8192 8232 8256 8367 8428 8736 8918 8944 9408 9632 9984 10192 10752 10976 11008 11156 11648 11739 12288 12544 12642 13312 13377 13416 14336 14448 14749 15288 15652 16464 16512 16734 16856 17472 17836 17888 18816 19264 19523 19968 20384 21504 21952 22016 22312 23296 23478 24576 25088 25284 26624 26754 26832 27391 28672 28896 29498 30576 31304 32928 33024 33468 33712 34944 35672 35776 36257 37632 38528 39046 39936 40768 43008 43904 44032 44247 44624 46592 46956 50176 50568 53248 53508 53664 54782 57344 57792 58569 58996 61152 62608 65856 66048 66936 67424 69888 71344 71552 72514 75264 77056 78092 79872 81536 82173 86016 87808 88064 88494 89248 93184 93912 100352 101136 106496 107016 107328 108771 109564 115584 117138 117992 119927 122304 125216 131712 132096 133872 134848 136661 139776 142688 143104 145028 150528 154112 156184 159744 163072 164346 172032 175616 176128 176988 178496 186368 187824 191737 200704 202272 214032 214656 217542 219128 231168 234276 235984 239854 244608 250432 253799 263424 264192 267744 269696 273322 279552 285376 286208 290056 301056 308224 312368 319488 326144 328692 351232 352256 353976 356992 359781 372736 375648 383474 401408 404544 409983 428064 429312 435084 438256 462336 468552 471968 479708 489216 500864 507598 526848 528384 535488 539392 546644 559104 570752 572416 575211 580112 602112 616448 624736 652288 657384 702464 707952 713984 719562 745472 751296 761397 766948 809088 819966 839489 856128 858624 870168 876512 924672 937104 943936 956627 959416 978432 1001728 1015196 1053696 1056768 1070976 1078784 1093288 1118208 1141504 1144832 1150422 1160224 1204224 1232896 1249472 1304576 1314768 1404928 1415904 1427968 1439124 1502592 1522794 1533896 1559051 1618176 1639932 1678978 1712256 1717248 1740336 1753024 1776593 1849344 1874208 1887872 1913254 1918832 1956864 2003456 2030392 2107392 2141952 2157568 2186576 2236416 2283008 2289664 2300844 2320448 2465792 2498944 2518467 2609152 2629536 2809856 2831808 2855936 2869881 2878248 3005184 3045588 3067792 3118102 3236352 3279864 3357956 3424512 3434496 3480672 3506048 3553186 3698688 3748416 3775744 3826508 3837664 3913728 4006912 4060784 4214784 4283904 4315136 4373152 4566016 4579328 4601688 4640896 4677153 4997888 5036934 5218304 5259072 5329779 5663616 5711872 5739762 5756496 5876423 6010368 6091176 6135584 6236204 6472704 6559728 6715912 6849024 6868992 6961344 7012096 7106372 7397376 7496832 7551488 7653016 7675328 7827456 8013824 8121568 8429568 8567808 8630272 8746304 9132032 9203376 9281792 9354306 9995776 10073868 10518144 10659558 10913357 11327232 11423744 11479524 11512992 11752846 12020736 12182352 12271168 12436151 12472408 12945408 13119456 13431824 13698048 13737984 13922688 14024192 14212744 14993664 15102976 15306032 15350656 15654912 16027648 16243136 17135616 17260544 17492608 17629269 18264064 18406752 18563584 18708612 19991552 20147736 21036288 21319116 21826714 22654464 22847488 22959048 23025984 23505692 24041472 24364704 24542336 24872302 24944816 25890816 26238912 26863648 27396096 27845376 28048384 28425488 29987328 30205952 30612064 30701312 32055296 32486272 32740071 34271232 34985216 35258538 36528128 36813504 37127168 37308453 37417224 39983104 40295472 41134961 42072576 42638232 43653428 45308928 45918096 46051968 47011384 48082944 48729408 49084672 49744604 49889632 51781632 52477824 53727296 54792192 55690752 56096768 56850976 59974656 60411904 61224128 61402624 64972544 65480142 68542464 69970432 70517076 73627008 74254336 74616906 74834448 76393499 79966208 80590944 82269922 84145152 85276464 87306856 90617856 91836192 92103936 94022768 96165888 97458816 98169344 99489208 99779264 104955648 107454592 109584384 111381504 112193536 113701952 119949312 120823808 122448256 122805248 123404883 129945088 130960284 139940864 141034152 147254016 148508672 149233812 149668896 152786998 159932416 161181888 164539844 168290304 170552928 174613712 181235712 183672384 184207872 188045536 194917632 196338688 198978416 199558528 209911296 214909184 222763008 224387072 227403904 229180497 239898624 244896512 245610496 246809766 259890176 261920568 279881728 282068304 294508032 297017344 298467624 299337792 305573996 322363776 329079688 336580608 341105856 349227424 362471424 367344768 368415744 376091072 389835264 392677376 397956832 399117056 419822592 429818368 445526016 454807808 458360994 479797248 489793024 491220992 493619532 519780352 523841136 534754493 559763456 564136608 589016064 596935248 598675584 611147992 644727552 658159376 673161216 682211712 698454848 734689536 736831488 752182144 779670528 785354752 795913664 798234112 839645184 859636736 891052032 909615616 916721988 979586048 982441984 987239064 1039560704 1047682272 1069508986 1119526912 1128273216 1178032128 1193870496 1197351168 1222295984 1289455104 1316318752 1364423424 1396909696 1469379072 1473662976 1504364288 1559341056 1570709504 1591827328 1596468224 1604263479 1679290368 1719273472 1819231232 1833443976 1959172096 1974478128 2079121408 2095364544 2139017972 2256546432 2356064256 2387740992 2394702336 2444591968 2578910208 2632637504 2728846848 2793819392 2938758144 2947325952 3008728576 3118682112 3183654656 3192936448 3208526958 3358580736 3438546944 3638462464 3666887952 3918344192 3948956256 4190729088 4278035944 4513092864 4712128512 4775481984 4789404672 4889183936 5157820416 5265275008 5457693696 5587638784 5877516288 6017457152 6237364224 6367309312 6385872896 6417053916 6877093888 7276924928 7333775904 7836688384 7897912512 8381458176 8556071888 9026185728 9550963968 9578809344 9778367872 10315640832 10530550016 10915387392 11175277568 11755032576 12034914304 12734618624 12771745792 12834107832 14553849856 14667551808 15795825024 16762916352 17112143776 18052371456 19101927936 19157618688 19556735744 20631281664 21061100032 21830774784 22350555136 23510065152 24069828608 25469237248 25668215664 29335103616 31591650048 33525832704 34224287552 36104742912 38203855872 38315237376 39113471488 42122200064 43661549568 44701110272 48139657216 50938474496 51336431328 58670207232 63183300096 67051665408 68448575104 72209485824 76407711744 78226942976 84244400128 89402220544 101876948992 102672862656 117340414464 126366600192 134103330816 136897150208 144418971648 152815423488 156453885952 168488800256 205345725312 234680828928 252733200384 268206661632 273794300416 305630846976 312907771904 336977600512 410691450624 469361657856 505466400768 547588600832 625815543808 821382901248 938723315712 1010932801536 1095177201664 1642765802496 1877446631424 2190354403328 3285531604992 4380708806656 6571063209984 13142126419968
- Sum of all divisors σ(n): 45050366592000
- Sum of proper divisors (its aliquot sum) s(n): 31908240172032
- 13142126419968 is an abundant number, because the sum of its proper divisors (31908240172032) is greater than itself. Its abundance is 18766113752064
Bases of 13142126419968
- Binary: 101111110011111000111100011011100000000000002
- Hexadecimal: 0xBF3E3C6E000
- Base-36: 4NPEQR11C
Squares and roots of 13142126419968
- 13142126419968 squared (131421264199682) is 172715486838420920309121024
- 13142126419968 cubed (131421264199683) is 2269848762716846952296384507037962207232
-
The
square root of 13142126419968 is 3625207.0864942323 -
The
cube root of 13142126419968 is 23598.7254051451
Scales and comparisons
How big is 13142126419968?- 13,142,126,419,968 seconds is equal to 417,878 years, 50 weeks, 2 days, 16 hours, 12 minutes, 48 seconds.
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To count from 1 to 13,142,126,419,968 would take you about one million, forty-four thousand, six hundred ninety-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 13142126419968 cubic inches would be around 1966.6 feet tall.
Recreational maths with 13142126419968
- 13142126419968 backwards is 86991462124131
- The number of decimal digits it has is: 14
- The sum of 13142126419968's digits is 57
- More coming soon!
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The information we have on file for 13142126419968 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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