13681993557227072
13,681,993,557,227,072 is an even composite number composed of six prime numbers multiplied together.
What does the number 13681993557227072 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 756 divisors.
13681993557227072 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 13681993557227072:
26 × 7 × 112 × 71 × 1092 × 5472
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 71 × 109 × 109 × 547 × 547)See below for interesting mathematical facts about the number 13681993557227072 from the Numbermatics database.
Names of 13681993557227072
- Cardinal: 13681993557227072 can be written as Thirteen quadrillion, six hundred eighty-one trillion, nine hundred ninety-three billion, five hundred fifty-seven million, two hundred twenty-seven thousand and seventy-two.
Scientific notation
- Scientific notation: 1.3681993557227072 × 1016
Factors of 13681993557227072
Divisors of 13681993557227072
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 44 56 64 71 77 88 109 112 121 142 154 176 218 224 242 284 308 352 436 448 484 497 547 568 616 704 763 781 847 872 968 994 1094 1136 1199 1232 1526 1562 1694 1744 1936 1988 2188 2272 2398 2464 3052 3124 3388 3488 3829 3872 3976 4376 4544 4796 4928 5467 6017 6104 6248 6776 6976 7658 7739 7744 7952 8393 8591 8752 9592 10934 11881 12034 12208 12496 13189 13552 15316 15478 15904 16786 17182 17504 19184 21868 23762 24068 24416 24992 26378 27104 30632 30956 31808 33572 34364 35008 38368 38837 42119 43736 47524 48136 48832 49984 52756 54173 54208 59623 60137 61264 61912 66187 67144 68728 76736 77674 83167 84238 85129 87472 92323 95048 96272 105512 108346 119246 120274 122528 123824 130691 132374 134288 137456 155348 166334 168476 170258 174944 184646 190096 192544 211024 216692 238492 240548 245056 247648 261382 264748 268576 271859 274912 299209 310696 332668 336952 340516 349888 369292 380192 385088 417361 422048 427207 433384 463309 476984 481096 495296 522764 529496 537152 543718 549824 595903 598418 621392 655853 665336 673904 681032 738584 760384 834722 843551 844096 854414 866768 914837 926618 936419 953968 962192 1045528 1058992 1087436 1191806 1196836 1242784 1311706 1330672 1347808 1362064 1437601 1477168 1669444 1687102 1708828 1733536 1829674 1853236 1872838 1907936 1924384 2091056 2094463 2117984 2174872 2383612 2393672 2485568 2623412 2661344 2695616 2724128 2875202 2954336 2990449 3291299 3338888 3374204 3417656 3467072 3659348 3706472 3745676 3815872 3848768 4182112 4188926 4233233 4235968 4349744 4590971 4699277 4767224 4787344 5246824 5322688 5448256 5750404 5904857 5908672 5980898 6498907 6554933 6582598 6677776 6748408 6835312 7214383 7318696 7412944 7491352 8364224 8377852 8466466 8699488 9181942 9279061 9398554 9534448 9574688 10063207 10493648 11500808 11809714 11961796 12997814 13109866 13165196 13355552 13496816 13670624 14428766 14637392 14825888 14982704 16755704 16932932 17398976 18363884 18558122 18797108 19068896 19149376 20126414 20987296 21243839 23001616 23039093 23619428 23923592 25995628 26219732 26330392 26711104 26993632 27341248 28857532 29274784 29632631 29651776 29965408 32613781 32894939 33511408 33865864 36204289 36727768 37116244 37594216 38137792 40252828 41974592 42487678 45492349 46003232 46078186 46565563 47238856 47847184 50500681 51991256 52439464 52660784 53987264 57715064 58549568 59265262 59930816 64953427 65227562 65789878 67022816 67731728 71487977 72408578 73455536 74232488 75188432 80505656 84975356 90984698 92006464 92156372 93131126 94477712 95694368 101001362 102069671 103982512 104878928 105321568 115430128 118530524 129906854 130455124 131579756 134045632 135463456 142975954 144817156 146911072 148464976 148706873 150376864 161011312 169950712 181969396 184312744 186262252 188955424 191388736 202002724 204139342 207965024 209757856 210643136 228296467 230860256 233682229 237061048 253430023 259813708 260910248 263159512 270926912 285951908 289634312 293822144 296929952 297413746 300753728 322022624 325958941 339901424 358751591 363938792 368625488 372524504 377910848 404005448 408278684 415930048 419515712 456592934 461422397 461720512 467364458 474122096 500415839 506860046 512221193 519627416 521820496 526319024 571903816 579268624 593859904 594827492 644045248 651917882 679802848 714487697 717503182 727877584 737250976 745049008 786367747 808010896 816557368 913185868 922844794 934728916 948244192 1000831678 1013720092 1024442386 1039254832 1043640992 1052638048 1143807632 1158537248 1189654984 1303835764 1359605696 1428975394 1435006364 1455755168 1474501952 1490098016 1572735494 1616021792 1633114736 1635775603 1826371736 1845689588 1869457832 1896488384 2001663356 2027440184 2048884772 2078509664 2087281984 2105276096 2287615264 2315578451 2317074496 2379309968 2511261137 2570504519 2607671528 2857950788 2870012728 2911510336 2980196032 3145470988 3229956779 3232043584 3266229472 3271551206 3554902129 3585548351 3652743472 3691379176 3738915664 3946267501 4003326712 4054880368 4097769544 4157019328 4575230528 4631156902 4758619936 5022522274 5075646367 5141009038 5215343056 5504574229 5715901576 5740025456 6290941976 6459913558 6532458944 6543102412 7109804258 7171096702 7305486944 7382758352 7477831328 7892535002 8006653424 8109760736 8195539088 9262313804 9517239872 10045044548 10151292734 10282018076 10430686112 11009148458 11431803152 11480050912 12581883952 12919827116 13086204824 14219608516 14342193404 14610973888 14765516704 14955662656 15785070004 16013306848 16209049157 16219521472 16391078176 17993531633 18524627608 20090089096 20302585468 20564036152 20861372224 22018296916 22863606304 22960101824 24884314903 25163767904 25471362961 25839654232 26172409648 27623872507 28439217032 28684386808 29531033408 31570140008 32026613696 32418098314 32782156352 35529524569 35987063266 37049255216 39103923419 40180178192 40605170936 41128072304 44036593832 45727212608 49768629806 50327535808 50942725922 51679308464 52344819296 55247745014 55832110037 56878434064 57368773616 63140280016 64836196628 71059049138 71974126532 74098510432 78207846838 80360356384 81210341872 82256144608 88073187664 99537259612 101885451844 103358616928 104689638592 110495490028 111664220074 113756868128 114737547232 126280560032 129672393256 142118098276 143948253064 148197020864 156415693676 160720712768 162420683744 164512289216 176146375328 178299540727 199074519224 203770903688 206717233856 220990980056 223328440148 227513736256 229475094464 252398051159 252561120064 259344786512 273727463933 280184992571 284236196552 287896506128 312831387352 324841367488 352292750656 356599081454 390824770259 398149038448 407541807376 430143157609 441981960112 446656880296 504796102318 518689573024 547454927866 560369985142 568472393104 575793012256 625662774704 713198162908 781649540518 796298076896 815083614752 860286315218 883963920224 893313760592 1009592204636 1037379146048 1094909855732 1120739970284 1136944786208 1151586024512 1251325549408 1426396325816 1563299081036 1592596153792 1630167229504 1720572630436 1766786358113 1767927840448 1786627521184 1961294947997 2019184409272 2189819711464 2241479940568 2273889572416 2502651098816 2776378562749 2852792651632 3011002103263 3126598162072 3441145260872 3533572716226 3573255042368 3922589895994 4038368818544 4379639422928 4482959881136 5552757125498 5705585303264 6022004206526 6253196324144 6882290521744 7067145432452 7845179791988 8076737637088 8759278845856 8965919762272 11105514250996 11411170606528 12044008413052 12506392648288 13764581043488 14134290864904 15690359583976 16153475274176 17518557691712 17931839524544 19434649939243 22211028501992 24088016826104 25012785296576 27529162086976 28268581729808 30540164190239 31380719167952 38869299878486 44422057003984 48176033652208 56537163459616 61080328380478 62761438335904 77738599756972 88844114007968 96352067304416 113074326919232 122160656760956 125522876671808 155477199513944 177688228015936 192704134608832 213781149331673 244321313521912 310954399027888 427562298663346 488642627043824 621908798055776 855124597326692 977285254087648 1243817596111552 1710249194653384 1954570508175296 3420498389306768 6840996778613536 13681993557227072
- Sum of all divisors σ(n): 34970559600739392
- Sum of proper divisors (its aliquot sum) s(n): 21288566043512320
- 13681993557227072 is an abundant number, because the sum of its proper divisors (21288566043512320) is greater than itself. Its abundance is 7606572486285248
Bases of 13681993557227072
- Binary: 1100001001101110110011010111011100110000110110010000002
- Hexadecimal: 0x309BB35DCC3640
- Base-36: 3QPV12HD8OW
Squares and roots of 13681993557227072
- 13681993557227072 squared (136819935572270722) is 187196947700003107531001769693184
- 13681993557227072 cubed (136819935572270723) is 2561227432364015671427279496331020988663258677248
-
The
square root of 13681993557227072 is 116970054.1045744409 -
The
cube root of 13681993557227072 is 239175.3733298393
Scales and comparisons
How big is 13681993557227072?- 13,681,993,557,227,072 seconds is equal to 435,045,073 years, 48 weeks, 4 days, 8 hours, 24 minutes, 32 seconds.
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To count from 1 to 13,681,993,557,227,072 would take you about one billion, three hundred five million, one hundred thirty-five thousand, two hundred twenty-one 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 13681993557227072 cubic inches would be around 19931.3 feet tall.
Recreational maths with 13681993557227072
- 13681993557227072 backwards is 27072275539918631
- 13681993557227072 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13681993557227072's digits is 77
- More coming soon!
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The information we have on file for 13681993557227072 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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