13820720493897766512
13,820,720,493,897,766,512 is an even composite number composed of five prime numbers multiplied together.
13820720493897766512 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixty divisors.
Prime factorization of 13820720493897766512:
24 × 32 × 73 × 432 × 736
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 43 × 43 × 73 × 73 × 73 × 73 × 73 × 73)See below for interesting mathematical facts about the number 13820720493897766512 from the Numbermatics database.
Names of 13820720493897766512
- Cardinal: 13820720493897766512 can be written as Thirteen quintillion, eight hundred twenty quadrillion, seven hundred twenty trillion, four hundred ninety-three billion, eight hundred ninety-seven million, seven hundred sixty-six thousand, five hundred twelve.
Scientific notation
- Scientific notation: 1.3820720493897766512 × 1019
Factors of 13820720493897766512
Divisors of 13820720493897766512
- Number of divisors d(n): 1260
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 43 48 49 56 63 72 73 84 86 98 112 126 129 144 146 147 168 172 196 219 252 258 292 294 301 336 343 344 387 392 438 441 504 511 516 584 588 602 657 686 688 774 784 876 882 903 1008 1022 1029 1032 1168 1176 1204 1314 1372 1533 1548 1752 1764 1806 1849 2044 2058 2064 2107 2352 2408 2628 2709 2744 3066 3087 3096 3139 3504 3528 3577 3612 3698 4088 4116 4214 4599 4816 5256 5329 5418 5488 5547 6132 6174 6192 6278 6321 7056 7154 7224 7396 8176 8232 8428 9198 9417 10512 10658 10731 10836 11094 12264 12348 12556 12642 12943 14308 14448 14749 14792 15987 16464 16641 16856 18396 18834 18963 21316 21462 21672 21973 22188 24528 24696 25039 25112 25284 25886 28251 28616 29498 29584 31974 32193 33282 33712 36792 37303 37668 37926 38829 42632 42924 43344 43946 44247 44376 47961 49392 50078 50224 50568 51772 56502 57232 58996 63948 64386 65919 66564 73584 74606 75117 75336 75852 77658 85264 85848 87892 88494 88752 90601 95922 100156 101136 103544 111909 113004 116487 117992 127896 128772 131838 132741 133128 134977 149212 150234 150672 151704 153811 155316 171696 175784 176988 181202 191844 197757 200312 207088 223818 225351 226008 229147 232974 235984 255792 257544 261121 263676 265482 266256 269954 271803 298424 300468 303408 307622 310632 335727 351568 353976 362404 383688 389017 395514 400624 404931 447636 450702 452016 458294 461433 465948 515088 522242 527352 530964 539908 543606 596848 600936 615244 621264 634207 671454 687441 707952 724808 767376 778034 783363 791028 809862 815409 895272 901404 916588 922866 931896 944839 1044484 1054704 1061928 1076677 1079816 1087212 1167051 1201872 1214793 1230488 1268414 1342908 1374882 1384299 1449616 1556068 1566726 1582056 1604029 1619724 1630818 1790544 1802808 1827847 1833176 1845732 1863792 1889678 1902621 2062323 2088968 2123856 2153354 2159632 2174424 2334102 2350089 2429586 2460976 2536828 2685816 2723119 2749764 2768598 2834517 3112136 3133452 3164112 3208058 3230031 3239448 3261636 3501153 3605616 3655694 3666352 3691464 3779356 3805242 4124646 4177936 4306708 4348848 4668204 4700178 4812087 4859172 5073656 5371632 5446238 5483541 5499528 5537196 5669034 5707863 6224272 6266904 6416116 6460062 6478896 6523272 6613873 7002306 7311388 7382928 7558712 7610484 8169357 8249292 8503551 8613416 9336408 9400356 9624174 9690093 9718344 9853321 10147312 10892476 10967082 10999056 11074392 11228203 11338068 11415726 12533808 12832232 12920124 13046544 13227746 14004612 14436261 14622776 15117424 15220968 16338714 16450623 16498584 16727731 17007102 17226832 18672816 18800712 19061833 19248348 19380186 19436688 19706642 19841619 21784952 21934164 22148784 22456406 22676136 22831452 24508071 25664464 25840248 26455492 28009224 28398241 28872522 29245552 29559963 30441936 32677428 32901246 32997168 33455462 33684609 34014204 37601424 38123666 38496696 38760372 39413284 39683238 43569904 43868328 44912812 45352272 45662904 46297111 49016142 50183193 51680496 52910984 56018448 56796482 57185499 57745044 59119926 59524857 65354856 65802492 66910924 67369218 68028408 68973247 76247332 76993392 77520744 78597421 78826568 79366476 85194723 87736656 88679889 89825624 91325808 92594222 98032284 100366386 101053827 105821968 113592964 114370998 115490088 117094117 118239852 119049714 130709712 131604984 133432831 133821848 134738436 136056816 137946494 138891333 150549579 152494664 155041488 157194842 157653136 158732952 170389446 171556497 177359778 179651248 185188444 196064568 198787687 200732772 202107654 206919741 227185928 228741996 230980176 234188234 235792263 236479704 238099428 255584169 263209968 266865662 267643696 269476872 275892988 277782666 301099158 304989328 314389684 317465904 340778892 343112994 351282351 354719556 370376888 392129136 397575374 400298493 401465544 404215308 413839482 416673999 454371856 457483992 468376468 471584526 472959408 476198856 482812729 511168338 533731324 538953744 551785976 555565332 596363061 602198316 620759223 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51907639617127 52058973843416 52415542157412 52928414389872 53663531256398 54031089689661 58566345573843 59323016705288 60313774537296 61151465850314 61329750007312 61749816788184 66738393793449 68995968758226 69887389543216 72041452919548 76272450049656 78088460765124 78623313236118 80495296884597 88984525057932 89855215126992 91103204225978 91727198775471 91994625010968 92624725182276 102393152121456 103815279234254 104117947686832 104831084314824 107327062512796 108062179379322 117132691147686 118646033410576 122302931700628 123499633576368 133476787586898 136654806338967 137991937516452 144082905839096 152544900099312 155722918851381 156176921530248 157246626472236 160990593769194 162093269068983 177969050115864 182206408451956 183454397550942 183989250021936 185249450364552 187822359397393 207630558468508 209662168629648 214654125025592 216124358758644 234265382295372 241485890653791 244605863401256 266953575173796 273309612677934 275181596326413 275983875032904 279816984408361 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2186476901423472 2201452770611304 2232028503536461 2238535875266888 2253868312768716 2491566701622096 2518352859675249 2550889718327384 2593492305103728 2629513031563502 2869750933118307 3005157750358288 3279715352135208 3357803812900332 3380802469153074 3737350052433144 3826334577491076 3863774250460656 3917437781717054 3944269547345253 4402905541222608 4464057007072922 4477071750533776 4507736625537432 5036705719350498 5101779436654768 5259026063127004 5739501866236614 5876156672575581 6559430704270416 6696085510609383 6715607625800664 6761604938306148 7474700104866288 7652669154982152 7834875563434108 7888539094690506 8928114014145844 9015473251074864 10073411438700996 10518052126254008 11479003732473228 11752313345151162 11832808642035759 13392171021218766 13431215251601328 13523209876612296 13711032236009689 15305338309964304 15669751126868216 15777078189381012 17628470017726743 17856228028291688 20088256531828149 20146822877401992 21036104252508016 22958007464946456 23504626690302324 23665617284071518 26784342042437532 27046419753224592 27422064472019378 31339502253736432 31554156378762024 35256940035453486 35712456056583376 40176513063656298 40293645754803984 41133096708029067 45916014929892912 47009253380604648 47331234568143036 53568684084875064 54844128944038756 63108312757524048 70513880070906972 80353026127312596 82266193416058134 94018506761209296 94662469136286072 95977225652067823 107137368169750128 109688257888077512 123399290124087201 141027760141813944 160706052254625192 164532386832116268 189324938272572144 191954451304135646 219376515776155024 246798580248174402 282055520283627888 287931676956203469 321412104509250384 329064773664232536 383908902608271292 493597160496348804 575863353912406938 658129547328465072 767817805216542584 863795030868610407 987194320992697608 1151726707824813876 1535635610433085168 1727590061737220814 1974388641985395216 2303453415649627752 3455180123474441628 4606906831299255504 6910360246948883256 13820720493897766512
- Sum of all divisors σ(n): 46821268526941318800
- Sum of proper divisors (its aliquot sum) s(n): 33000548033043552288
- 13820720493897766512 is an abundant number, because the sum of its proper divisors (33000548033043552288) is greater than itself. Its abundance is 19179827539145785776
Bases of 13820720493897766512
- Binary: 10111111110011010001000000010000010110101011110011010110011100002
- Hexadecimal: 0xBFCD10105ABCD670
- Base-36: 2X04CJ3UU6RG0
Squares and roots of 13820720493897766512
- 13820720493897766512 squared (138207204938977665122) is 191012314970445723110461045542068646144
- 13820720493897766512 cubed (138207204938977665123) is 2639927816098894354497015114723670834943322346705261129728
-
The
square root of 13820720493897766512 is 3717622962.8484067819 -
The
cube root of 13820720493897766512 is 2399810.1987574143 - Being both a perfect square and a perfect cube, 13820720493897766512 is also a
perfect sixth number .
Scales and comparisons
How big is 13820720493897766512?- 13,820,720,493,897,766,512 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,820,720,493,897,766,512 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13820720493897766512 cubic inches would be around 199984.2 feet tall.
Recreational maths with 13820720493897766512
- 13820720493897766512 backwards is 21566779839402702831
- The number of decimal digits it has is: 20
- The sum of 13820720493897766512's digits is 90
- More coming soon!
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"Number 13820720493897766512 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 13820720493897766512 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/13820720493897766512/
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Numbermatics. 2024. "Number 13820720493897766512 - Facts about the integer". https://numbermatics.com/n/13820720493897766512/
The information we have on file for 13820720493897766512 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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