13864367672075648
13,864,367,672,075,648 is an even composite number composed of five prime numbers multiplied together.
What does the number 13864367672075648 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
13864367672075648 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13864367672075648:
27 × 73 × 133 × 192 × 6312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 13 × 13 × 19 × 19 × 631 × 631)See below for interesting mathematical facts about the number 13864367672075648 from the Numbermatics database.
Names of 13864367672075648
- Cardinal: 13864367672075648 can be written as Thirteen quadrillion, eight hundred sixty-four trillion, three hundred sixty-seven billion, six hundred seventy-two million, seventy-five thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.3864367672075648 × 1016
Factors of 13864367672075648
Divisors of 13864367672075648
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 7 8 13 14 16 19 26 28 32 38 49 52 56 64 76 91 98 104 112 128 133 152 169 182 196 208 224 247 266 304 338 343 361 364 392 416 448 494 532 608 631 637 676 686 722 728 784 832 896 931 988 1064 1183 1216 1262 1274 1352 1372 1444 1456 1568 1664 1729 1862 1976 2128 2197 2366 2432 2524 2527 2548 2704 2744 2888 2912 3136 3211 3458 3724 3952 4256 4394 4417 4459 4693 4732 5048 5054 5096 5408 5488 5776 5824 6272 6422 6517 6916 7448 7904 8203 8281 8512 8788 8834 8918 9386 9464 10096 10108 10192 10816 10976 11552 11648 11989 12103 12844 13034 13832 14896 15379 15808 16406 16562 17024 17576 17668 17689 17836 18772 18928 20192 20216 20384 21632 21952 22477 23104 23978 24206 25688 26068 27664 29792 30758 30919 31616 32812 32851 33124 35152 35336 35378 35672 37544 37856 40384 40432 40768 41743 43904 44954 46208 47956 48412 51376 52136 55328 57421 57967 59584 61009 61516 61838 65624 65702 66248 70304 70672 70756 71344 75088 75712 80768 80864 81536 83486 83923 84721 89908 95912 96824 102752 104272 106639 107653 110656 114842 115934 119168 122018 123032 123676 123823 131248 131404 132496 140608 141344 141512 142688 150176 151424 155857 157339 161728 166972 167846 169442 179816 191824 193648 205504 208544 213278 215306 216433 221312 227791 229684 229957 231868 244036 246064 247352 247646 262496 262808 264992 281216 282688 283024 285376 292201 300352 311714 314678 323456 333944 335692 338884 359632 383648 387296 398161 401947 411008 417088 426556 427063 430612 432866 455582 459368 459914 463736 488072 492128 494704 495292 524992 525616 529984 565376 566048 570752 584402 587461 600704 623428 629356 667888 671384 677768 719264 746473 753571 767296 774592 793117 796322 803894 834176 853112 854126 861224 865732 911164 918736 919828 927472 976144 984256 989408 990584 1049984 1051232 1059968 1090999 1101373 1132096 1168804 1174922 1246856 1258712 1335776 1342768 1355536 1386307 1438528 1492946 1507142 1534592 1549184 1586234 1592644 1594537 1607788 1609699 1706224 1708252 1722448 1731464 1822328 1837472 1839656 1854944 1952288 1968512 1978816 1981168 2026141 2045407 2102464 2181998 2202746 2264192 2337608 2349844 2493712 2517424 2671552 2685536 2711072 2772614 2787127 2813629 2877056 2961283 2985892 2989441 3014284 3172468 3185288 3189074 3215576 3219398 3412448 3416504 3444896 3462928 3644656 3674944 3679312 3709888 3904576 3957632 3962336 4052282 4090814 4112227 4204928 4363996 4405492 4675216 4699688 4987424 5034848 5176093 5225311 5343104 5371072 5422144 5545228 5551819 5574254 5627258 5922566 5971784 5978882 6028568 6344936 6370576 6378148 6431152 6438796 6824896 6833008 6889792 6925856 7289312 7349888 7358624 7419776 7565059 7636993 7809152 7924672 8104564 8181628 8224454 8727992 8810984 9350432 9399376 9704149 9974848 10069696 10352186 10450622 10742144 10844288 11090456 11103638 11148508 11161759 11254516 11845132 11943568 11957764 12057136 12689872 12741152 12756296 12862304 12877592 13649792 13666016 13779584 13851712 14182987 14317849 14578624 14717248 15130118 15273986 15849344 16209128 16363256 16448908 17455984 17621968 18700864 18798752 19408298 19509889 19949696 20139392 20704372 20728981 20901244 20926087 22180912 22207276 22297016 22323518 22509032 23690264 23887136 23915528 24114272 25379744 25482304 25512592 25724608 25755184 26339833 27332032 27703424 28365974 28635698 29157248 29434496 30260236 30547972 32418256 32726512 32897816 34911968 35243936 36232651 36577177 37401728 37597504 38496679 38816596 38862733 39019778 41408744 41457962 41802488 41852174 44361824 44414552 44594032 44647036 45018064 47380528 47774272 47831056 48228544 50759488 50964608 51025184 51449216 51510368 52679666 52955413 53458951 54664064 56731948 57271396 60520472 61095944 64836512 65453024 65795632 67289209 67929043 69823936 70487872 72465302 73154354 75195008 76993358 77633192 77725466 78039556 78132313 82817488 82915924 83604976 83704348 88723648 88829104 89188064 89294072 90036128 94761056 95548544 95662112 96457088 98345767 99280909 101518976 102050368 103020736 105359332 105910826 106917902 113463896 114542792 121040944 122191888 129673024 130906048 131591264 134578418 135858086 136569223 139647872 140975744 143736121 144930604 145102867 146308708 153986716 155266384 155450932 156079112 156264626 165634976 165831848 167209952 167408696 177447296 177658208 178376128 178588144 180072256 184378831 189522112 191324224 196691534 198561818 204100736 206041472 210718664 211821652 213835804 226927792 229085584 242081888 244383776 253628557 259346048 261812096 263182528 269156836 269476753 271716172 272039131 273138446 287472242 289861208 290205734 292617416 307973432 310532768 310901864 312158224 312529252 331269952 331663696 334419904 334817392 355316416 356752256 357176288 360144512 368757662 370687891 379044224 382648448 393383068 397123636 421437328 423643304 427671608 453855584 458171168 471024463 475503301 484163776 488767552 500456827 507257114 526365056 538313672 538953506 543432344 544078262 546276892 574944484 579722416 580411468 585234832 615946864 621065536 621803728 624316448 625058504 662539904 663327392 668839808 669634784 688420369 694966363 710632832 714352576 737515324 741375782 786766136 794247272 842874656 847286608 855343216 874759717 907711168 916342336 942048926 951006602 968327552 977535104 1000913654 1006152847 1014514228 1015720069 1076627344 1077907012 1086864688 1088156524 1092553784 1149888968 1159444832 1160822936 1170469664 1231893728 1242131072 1243607456 1248632896 1250117008 1278494971 1290651817 1326654784 1339269568 1376840738 1389932726 1428705152 1475030648 1482751564 1573532272 1588494544 1685749312 1694573216 1710686432 1749519434 1775399899 1815422336 1832684672 1868569573 1884097852 1886337271 1902013204 2001827308 2012305694 2029028456 2031440138 2153254688 2155814024 2173729376 2176313048 2185107568 2299777936 2318889664 2321645872 2340939328 2463787456 2487214912 2497265792 2500234016 2556989942 2581303634 2594815237 2653309568 2678539136 2753681476 2779865452 2950061296 2965503128 3147064544 3176989088 3297171241 3371498624 3389146432 3421372864 3499038868 3503197789 3550799798 3737139146 3768195704 3772674542 3804026408 4003654616 4024611388 4058056912 4062880276 4306509376 4311628048 4347458752 4352626096 4370215136 4599555872 4637779328 4643291744 4681878656 4818942583 4927574912 4974429824 5000468032 5113979884 5162607268 5189630474 5507362952 5559730904 5900122592 5931006256 6123318019 6294129088 6353978176 6594342482 6778292864 6842745728 6998077736 7006395578 7043069929 7101599596 7474278292 7536391408 7545349084 7608052816 8007309232 8049222776 8116113824 8125760552 8613018752 8623256096 8694917504 8705252192 8740430272 8949464797 9034562719 9199111744 9286583488 9637885166 10000936064 10227959768 10325214536 10379260948 11014725904 11119461808 11800245184 11862012512 12246636038 12588258176 12707956352 13079987011 13188684964 13204360897 13996155472 14012791156 14086139858 14203199192 14948556584 15072782816 15090698168 15216105632 16014618464 16098445552 16232227648 16251521104 16620434623 17246512192 17410504384 17480860544 17898929594 18069125438 18398223488 18573166976 19275770332 20455919536 20650429072 20758521896 22029451808 22238923616 23080198687 23600490368 23724025024 24291404449 24493272076 24522384523 26159974022 26377369928 26408721794 27992310944 28025582312 28172279716 28406398384 29897113168 30145565632 30181396336 30432211264 32029236928 32196891104 32464455296 32503042208 33240869246 33732598081 34493024384 34821008768 35797859188 36138250876 38551540664 40911839072 41300858144 41517043792 42863226133 44058903616 44477847232 46160397374 47448050048 48582808898 48986544152 49044769046 49301489503 52319948044 52754739856 52817443588 55984621888 56051164624 56344559432 56812796768 59794226336 60291131264 60362792672 60864422528 62646253579 64058473856 64393782208 65006084416 66481738492 67465196162 71595718376 72276501752 77103081328 81823678144 82601716288 83034087584 85726452266 88117807232 88955694464 91559909077 92320794748 97165617796 97973088304 98089538092 98602979006 104639896088 105509479712 105634887176 111969243776 112102329248 112689118864 113625593536 116343042361 119588452672 120725585344 125292507158 128787564416 130012168832 132963476984 134930392324 143191436752 144553003504 154206162656 163647356288 165203432576 166068175168 170039831143 171452904532 171656691661 183119818154 184641589496 194331235592 195946176608 196179076184 197205958012 209279792176 211018959424 211269774352 224204658496 225378237728 227251187072 232686084722 239176905344 241451170688 250585014316 265926953968 269860784648 286382873504 289106007008 300042582931 308412325312 315788257837 332136350336 340079662286 342905809064 343313383322 366239636308 369283178992 388662471184 391892353216 392358152368 394411916024 418559584352 422037918848 422539548704 438523775053 448409316992 450756475456 465372169444 501170028632 531853907936 539721569296 572765747008 578212014016 600085165862 616824650624 631576515674 640919363539 680159324572 685811618128 686626766644 732479272616 738566357984 777324942368 783784706432 784716304736 788823832048 814401296527 837119168704 845079097408 877047550106 901512950912 930744338888 1002340057264 1063707815872 1079443138592 1145531494016 1156424028032 1190278818001 1200170331724 1263153031348 1281838727078 1360318649144 1371623236256 1373253533288 1464958545232 1477132715968 1554649884736 1569432609472 1577647664096 1628802593054 1674238337408 1690158194816 1754095100212 1861488677776 2004680114528 2127415631744 2158886277184 2210517804859 2380557636002 2400340663448 2526306062696 2563677454156 2720637298288 2743246472512 2746507066576 2929917090464 2954265431936 3109299769472 3138865218944 3155295328192 3257605186108 3508190200424 3722977355552 4009360229056 4317772554368 4421035609718 4761115272004 4800681326896 5052612125392 5127354908312 5441274596576 5486492945024 5493014133152 5700809075689 5859834180928 6310590656384 6515210372216 7016380400848 7445954711104 8018720458112 8331951726007 8842071219436 9522230544008 9601362653792 10105224250784 10254709816624 10882549193152 10986028266304 11401618151378 11719668361856 13030420744432 14032760801696 14891909422208 15473624634013 16663903452014 17684142438872 19044461088016 19202725307584 20210448501568 20509419633248 21765098386304 21972056532608 22803236302756 26060841488864 28065521603392 30947249268026 33327806904028 35368284877744 38088922176032 38405450615168 40420897003136 41018839266496 45606472605512 52121682977728 56131043206784 61894498536052 66655613808056 70736569755488 76177844352064 82037678532992 91212945211024 104243365955456 108315372438091 123788997072104 133311227616112 141473139510976 152355688704128 182425890422048 216630744876182 247577994144208 266622455232224 282946279021952 364851780844096 433261489752364 495155988288416 533244910464448 729703561688192 866522979504728 990311976576832 1066489820928896 1733045959009456 1980623953153664 3466091918018912 6932183836037824 13864367672075648
- Sum of all divisors σ(n): 36884986687080000
- Sum of proper divisors (its aliquot sum) s(n): 23020619015004352
- 13864367672075648 is an abundant number, because the sum of its proper divisors (23020619015004352) is greater than itself. Its abundance is 9156251342928704
Bases of 13864367672075648
- Binary: 1100010100000110010001101001100010000100100101100000002
- Hexadecimal: 0x314191A6212580
- Base-36: 3SIIAKWL6RK
Squares and roots of 13864367672075648
- 13864367672075648 squared (138643676720756482) is 192220690946496322955308634619904
- 13864367672075648 cubed (138643676720756483) is 2665018333462647812477173088445580212935214497792
-
The
square root of 13864367672075648 is 117747049.5259887521 -
The
cube root of 13864367672075648 is 240233.3821929709
Scales and comparisons
How big is 13864367672075648?- 13,864,367,672,075,648 seconds is equal to 440,844,006 years, 34 weeks, 4 days, 19 hours, 14 minutes, 8 seconds.
-
To count from 1 to 13,864,367,672,075,648 would take you about one billion, three hundred twenty-two million, five hundred thirty-two thousand and twenty 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 13864367672075648 cubic inches would be around 20019.4 feet tall.
Recreational maths with 13864367672075648
- 13864367672075648 backwards is 84657027676346831
- The number of decimal digits it has is: 17
- The sum of 13864367672075648's digits is 83
- More coming soon!
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"Number 13864367672075648 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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The information we have on file for 13864367672075648 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!
Keywords: Divisors of 13864367672075648, math, Factors of 13864367672075648, curriculum, school, college, exams, university, Prime factorization of 13864367672075648, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, eight hundred sixty-four trillion, three hundred sixty-seven billion, six hundred seventy-two million, seventy-five thousand, six hundred forty-eight.