13997966846976
13,997,966,846,976 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13997966846976 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1056 divisors.
13997966846976 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 13997966846976:
210 × 32 × 7 × 17 × 41 × 193 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 17 × 41 × 193 × 1613)See below for interesting mathematical facts about the number 13997966846976 from the Numbermatics database.
Names of 13997966846976
- Cardinal: 13997966846976 can be written as Thirteen trillion, nine hundred ninety-seven billion, nine hundred sixty-six million, eight hundred forty-six thousand, nine hundred seventy-six.
Scientific notation
- Scientific notation: 1.3997966846976 × 1013
Factors of 13997966846976
Divisors of 13997966846976
- Number of divisors d(n): 1056
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 41 42 48 51 56 63 64 68 72 82 84 96 102 112 119 123 126 128 136 144 153 164 168 192 193 204 224 238 246 252 256 272 287 288 306 328 336 357 369 384 386 408 448 476 492 504 512 544 574 576 579 612 656 672 697 714 738 768 772 816 861 896 952 984 1008 1024 1071 1088 1148 1152 1158 1224 1312 1344 1351 1394 1428 1476 1536 1544 1613 1632 1722 1737 1792 1904 1968 2016 2091 2142 2176 2296 2304 2316 2448 2583 2624 2688 2702 2788 2856 2952 3072 3088 3226 3264 3281 3444 3474 3584 3808 3936 4032 4053 4182 4284 4352 4592 4608 4632 4839 4879 4896 5166 5248 5376 5404 5576 5712 5904 6176 6273 6452 6528 6562 6888 6948 7168 7616 7872 7913 8064 8106 8364 8568 8704 9184 9216 9264 9678 9758 9792 9843 10332 10496 10752 10808 11152 11291 11424 11808 12159 12352 12546 12904 13056 13124 13776 13896 14517 14637 15232 15744 15826 16128 16212 16728 17136 17408 18368 18528 19356 19516 19584 19686 20664 20992 21504 21616 22304 22582 22848 22967 23616 23739 24318 24704 25092 25808 26112 26248 27421 27552 27792 29034 29274 29529 30464 31488 31652 32256 32424 33456 33873 34272 36736 37056 38712 39032 39168 39372 41328 41984 43232 43911 44608 45164 45696 45934 47232 47478 48636 49408 50184 51616 52224 52496 54842 55104 55391 55584 58068 58548 59058 60928 62976 63304 64512 64848 66133 66912 67746 68544 68901 71217 73472 74112 77424 78064 78336 78744 82263 82656 86464 87822 89216 90328 91392 91868 94464 94956 97272 98816 100368 101619 103232 104992 109684 110208 110782 111168 116136 117096 118116 121856 125952 126608 129696 132266 133824 134521 135492 137088 137802 142434 146944 148224 154848 156128 156672 157488 164526 165312 166173 172928 175644 178432 180656 182784 183736 188928 189912 191947 194544 197632 198399 200736 203238 206464 206703 209984 219368 220416 221564 222336 232272 234192 236232 246789 253216 259392 264532 267648 269042 270984 274176 275604 284868 293888 296448 309696 311309 312256 314976 329052 330624 332346 345856 351288 356864 361312 365568 367472 377856 379824 383894 389088 396798 401472 403563 406476 412928 413406 419968 438736 440832 443128 444672 462931 464544 468384 472464 493578 498519 506432 518784 529064 535296 538084 541968 548352 551208 569736 575841 592896 595197 619392 622618 624512 629952 658104 661248 664692 691712 702576 713728 722624 734944 759648 767788 778176 793596 802944 807126 812952 825856 826812 839936 877472 881664 886256 889344 925862 929088 933927 936768 941647 944928 987156 997038 1012864 1037568 1058128 1070592 1076168 1083936 1096704 1102416 1124261 1139472 1151682 1190394 1210689 1238784 1245236 1249024 1259904 1316208 1322496 1329384 1383424 1388793 1405152 1445248 1469888 1519296 1535576 1556352 1587192 1605888 1614252 1625904 1651712 1653624 1679872 1727523 1754944 1772512 1778688 1851724 1858176 1867854 1873536 1883294 1889856 1974312 1994076 2025728 2075136 2116256 2141184 2152336 2167872 2179163 2204832 2248522 2278944 2303364 2380788 2421378 2477568 2490472 2498048 2519808 2632416 2644992 2658768 2777586 2801781 2810304 2824941 2890496 2939776 3038592 3071152 3112704 3174384 3211776 3228504 3251808 3307248 3359744 3372783 3455046 3509888 3545024 3703448 3716352 3735708 3747072 3766588 3779712 3948624 3988152 4051456 4150272 4166379 4232512 4304672 4335744 4358326 4409664 4497044 4557888 4606728 4761576 4842756 4955136 4980944 4996096 5039616 5264832 5292253 5317536 5555172 5603562 5620608 5649882 5780992 5879552 6077184 6142304 6225408 6348768 6423552 6457008 6503616 6537489 6614496 6745566 6910092 7019776 7090048 7406896 7432704 7471416 7494144 7533176 7559424 7869827 7897248 7976304 8102912 8332758 8465024 8474823 8609344 8671488 8716652 8819328 8994088 9115776 9213456 9523152 9685512 9961888 10079232 10118349 10529664 10584506 10635072 11110344 11207124 11241216 11299764 11561984 11759104 12154368 12284608 12450816 12697536 12763669 12914016 13007232 13074978 13228992 13491132 13820184 14039552 14180096 14813792 14865408 14942832 14988288 15066352 15118848 15739654 15794496 15876759 15952608 16665516 16930048 16949646 17218688 17342976 17433304 17638656 17988176 18231552 18426912 19046304 19371024 19612467 19923776 20236698 21059328 21169012 21270144 22220688 22414248 22482432 22599528 23518208 23609481 24308736 24569216 25395072 25527338 25828032 26014464 26149956 26457984 26982264 27640368 28079104 28360192 29627584 29885664 30132704 30237696 31479308 31588992 31753518 31905216 33331032 33860096 33899292 34437376 34685952 34866608 35277312 35976352 36463104 36853824 37045771 38092608 38291007 38742048 39224934 39847552 40473396 42118656 42338024 42540288 44441376 44828496 44964864 45199056 47218962 47630277 49138432 50790144 51054676 51656064 52028928 52299912 52915968 53964528 55280736 56720384 59255168 59771328 60265408 62958616 63177984 63507036 63810432 66662064 67720192 67798584 68874752 69733216 70554624 70828443 71952704 72926208 73707648 74091542 76185216 76582014 77484096 78449868 79695104 80946792 84237312 84676048 85080576 88882752 89345683 89656992 90398112 94437924 95260554 98276864 101580288 102109352 103312128 104057856 104599824 105831936 107929056 110561472 111137313 114873021 118510336 119542656 120530816 125917232 126355968 127014072 127620864 133324128 135597168 137749504 139466432 141656886 143905408 147415296 148183084 152370432 153164028 154968192 156899736 159390208 161893584 169352096 170161152 177765504 178691366 179313984 180796224 188875848 190521108 196553728 203160576 204218704 206624256 209199648 211663872 215858112 216982373 221122944 222274626 229746042 237020672 239085312 241061632 251834464 252711936 254028144 255241728 266648256 268037049 271194336 278932864 283313772 287810816 294830592 296366168 304740864 306328056 309936384 313799472 318780416 323787168 333411939 338704192 355531008 357382732 358627968 361592448 377751696 381042216 408437408 413248512 418399296 431716224 433964746 442245888 444549252 459492084 474041344 478170624 482123264 503668928 508056288 510483456 533296512 536074098 542388672 557865728 566627544 575621632 589661184 592732336 609481728 612656112 619872768 627598944 647574336 650947119 666823878 677408384 711062016 714765464 717255936 723184896 755503392 762084432 804111147 816874816 836798592 863432448 867929492 884491776 889098504 918984168 956341248 964246528 1007337856 1016112576 1066593024 1072148196 1084777344 1115731456 1133255088 1151243264 1185464672 1225312224 1239745536 1255197888 1295148672 1301894238 1333647756 1354816768 1422124032 1429530928 1434511872 1446369792 1511006784 1518876611 1524168864 1608222294 1633749632 1673597184 1726864896 1735858984 1768983552 1778197008 1837968336 1952841357 2014675712 2032225152 2133186048 2144296392 2169554688 2231462912 2266510176 2370929344 2450624448 2510395776 2590297344 2603788476 2667295512 2709633536 2859061856 2869023744 2892739584 3022013568 3037753222 3048337728 3216444588 3267499264 3347194368 3453729792 3471717968 3556394016 3675936672 3905682714 4029351424 4064450304 4266372096 4288592784 4339109376 4533020352 4556629833 4741858688 4901248896 5020791552 5180594688 5207576952 5334591024 5419267072 5718123712 6044027136 6075506444 6096675456 6432889176 6534998528 6694388736 6943435936 7112788032 7351873344 7811365428 8058702848 8128900608 8577185568 8678218752 9066040704 9113259666 9483717376 9802497792 10041583104 10361189376 10415153904 10669182048 11436247424 12088054272 12151012888 12193350912 12865778352 13069997056 13669889499 13886871872 14225576064 14703746688 15622730856 16257801216 17154371136 18132081408 18226519332 18967434752 19604995584 20083166208 20830307808 21338364096 22872494848 24176108544 24302025776 24386701824 25731556704 27339778998 27773743744 28451152128 29407493376 31245461712 34308742272 36264162816 36453038664 37934869504 39209991168 41660615616 42676728192 45744989696 48604051552 48773403648 51463113408 54679557996 55547487488 56902304256 58814986752 62490923424 68617484544 72528325632 72906077328 83321231232 85353456384 91489979392 97208103104 102926226816 109359115992 111094974976 113804608512 117629973504 124981846848 137234969088 145812154656 166642462464 170706912768 194416206208 205852453632 218718231984 222189949952 249963693696 274469938176 291624309312 333284924928 341413825536 388832412416 411704907264 437436463968 499927387392 583248618624 666569849856 777664824832 823409814528 874872927936 999854774784 1166497237248 1555329649664 1749745855872 1999709549568 2332994474496 3499491711744 4665988948992 6998983423488 13997966846976
- Sum of all divisors σ(n): 50393931090048
- Sum of proper divisors (its aliquot sum) s(n): 36395964243072
- 13997966846976 is an abundant number, because the sum of its proper divisors (36395964243072) is greater than itself. Its abundance is 22397997396096
Bases of 13997966846976
- Binary: 110010111011001001111101011101101100000000002
- Hexadecimal: 0xCBB27D76C00
- Base-36: 4YMKS1KW0
Squares and roots of 13997966846976
- 13997966846976 squared (139979668469762) is 195943075849039219000344576
- 13997966846976 cubed (139979668469763) is 2742804679629354730549218915168263602176
-
The
square root of 13997966846976 is 3741385.6854080147 -
The
cube root of 13997966846976 is 24100.2558738327
Scales and comparisons
How big is 13997966846976?- 13,997,966,846,976 seconds is equal to 445,092 years, 2 weeks, 3 days, 4 hours, 9 minutes, 36 seconds.
-
To count from 1 to 13,997,966,846,976 would take you about one million, one hundred twelve thousand, seven hundred thirty 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 13997966846976 cubic inches would be around 2008.4 feet tall.
Recreational maths with 13997966846976
- 13997966846976 backwards is 67964866979931
- The number of decimal digits it has is: 14
- The sum of 13997966846976's digits is 90
- More coming soon!
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The information we have on file for 13997966846976 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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