13784976145492032

Names of 13784976145492032

• Cardinal: 13784976145492032 can be written as Thirteen quadrillion, seven hundred eighty-four trillion, nine hundred seventy-six billion, one hundred forty-five million, four hundred ninety-two thousand and thirty-two.

Scientific notation

• Scientific notation: 1.3784976145492032 × 10¹⁶

Factors of 13784976145492032

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 37344

Divisors of 13784976145492032

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 148 156 192 208 222 296 312 416 444 481 592 599 624 832 888 962 1184 1198 1248 1443 1776 1797 1924 2368 2396 2496 2886 3552 3594 3848 4792 5772 7104 7188 7696 7787 8999 9584 11544 14376 15392 15574 17998 19168 22163 23088 23361 26997 27691 28752 30784 31148 35996 38336 44326 46176 46722 53994 55382 57504 62296 66489 71992 83073 88652 92352 93444 107988 110764 115008 116987 124592 132978 143984 166146 177304 186888 215976 221528 233974 249184 265956 287968 288119 332292 332963 350961 354608 359983 373776 431952 443056 467948 498368 531912 575936 576238 664584 665926 701922 709216 719966 747552 863904 864357 886112 935896 998889 1024567 1063824 1079949 1152476 1329168 1331852 1403844 1418432 1439932 1495104 1727808 1728714 1772224 1871792 1997778 2049134 2127648 2159898 2304952 2658336 2663704 2807688 2879864 3073701 3457428 3743584 3995556 4098268 4255296 4319796 4328519 4609904 5316672 5327408 5390401 5615376 5759728 6147402 6914856 7487168 7991112 8196536 8639592 8657038 9219808 10654816 10780802 11230752 11519456 12294804 12985557 13319371 13829712 15982224 16171203 16393072 16586909 17279184 17314076 18439616 21309632 21561604 22461504 23038912 24589608 25971114 26638742 27659424 31964448 32342406 32786144 33173818 34558368 34628152 39958113 43123208 49179216 49760727 51942228 53277484 55318848 63928896 64684812 65572288 66347636 69116736 69256304 70075213 79916226 86246416 98358432 99521454 103884456 106554968 129369624 132695272 138512608 140150426 159832452 172492832 196716864 199042908 199444837 207768912 210225639 213109936 215629817 249191309 258739248 265390544 277025216 280300852 319664904 344985664 398085816 398889674 415537824 420451278 426219872 431259634 498382618 517478496 530781088 560601704 598334511 613715633 639329808 646889451 747573927 796171632 797779348 831075648 840902556 852439744 862519268 996765236 1034956992 1061562176 1121203408 1196669022 1227431266 1278659616 1293778902 1495147854 1592343264 1595558696 1681805112 1725038536 1841146899 1993530472 2242406816 2393338044 2454862532 2557319232 2587557804 2592782881 2990295708 3184686528 3191117392 3239487017 3363610224 3450077072 3682293798 3987060944 4484813632 4786676088 4909725064 5175115608 5185565762 5980591416 6382234784 6478974034 6727220448 6900154144 7364587596 7778348643 7974121888 7978303229 9220078433 9573352176 9718461051 9819450128 10350231216 10371131524 11961182832 12764469568 12957948068 13454440896 13800308288 14729175192 15556697286 15948243776 15956606458 18440156866 19146704352 19436922102 19638900256 20700462432 20742263048 23922365664 23934909687 25915896136 27660235299 29458350384 31113394572 31913212916 36880313732 38293408704 38873844204 39277800512 41400924864 41484526096 47844731328 47869819374 51831792272 55320470598 58916700768 62226789144 63826425832 73760627464 77747688408 82969052192 95739638748 103663584544 110640941196 117833401536 119861019629 124453578288 127652851664 147521254928 149265594091 155495376816 165938104384 191479277496 207327169088 221281882392 239722039258 248907156576 255305703328 295042509856 298531188182 310990753632 359583058887 382958554992 442563764784 447796782273 479444078516 497814313152 510611406656 590085019712 597062376364 621981507264 719166117774 765917109984 885127529568 895593564546 958888157032 1194124752728 1438332235548 1531834219968 1770255059136 1791187129092 1917776314064 1940452723183 2388249505456 2876664471096 3582374258184 3835552628128 3880905446366 4776499010912 5522826981367 5753328942192 5821358169549 7164748516368 7671105256256 7761810892732 9552998021824 11045653962734 11506657884384 11642716339098 14329497032736 15523621785464 16568480944101 22091307925468 23013315768768 23285432678196 28658994065472 31047243570928 33136961888202 44182615850936 46570865356392 62094487141856 66273923776404 71796750757771 88365231701872 93141730712784 124188974283712 132547847552808 143593501515542 176730463403744 186283461425568 215390252273313 265095695105616 287187003031084 353460926807488 372566922851136 430780504546626 530191390211232 574374006062168 861561009093252 1060382780422464 1148748012124336 1723122018186504 2297496024248672 3446244036373008 4594992048497344 6892488072746016 13784976145492032
• Sum of all divisors σ(n): 40413217420800000
• Sum of proper divisors (its aliquot sum) s(n): 26628241275307968
• 13784976145492032 is an abundant number, because the sum of its proper divisors (26628241275307968) is greater than itself. Its abundance is 12843265129815936

Bases of 13784976145492032

• Binary: 110000111110010101110011011110011000111010100001000000₂
• Hexadecimal: 0x30F95CDE63A840
• Base-36: 3RQD6M7HLXC

Squares and roots of 13784976145492032

• 13784976145492032 squared (13784976145492032²) is 190025567331784359790395375489024
• 13784976145492032 cubed (13784976145492032³) is 2619497912702237359940089973350901366725095456768
• The square root of 13784976145492032 is 117409438.0596893581
• The cube root of 13784976145492032 is 239773.9546734351

Scales and comparisons

• 13,784,976,145,492,032 seconds is equal to 438,319,601 years, 36 weeks, 1 day, 6 hours, 27 minutes, 12 seconds.
• To count from 1 to 13,784,976,145,492,032 would take you about one billion, three hundred fourteen million, nine hundred fifty-eight thousand, eight hundred five 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 13784976145492032 cubic inches would be around 19981.2 feet tall.

Recreational maths with 13784976145492032

• 13784976145492032 backwards is 23029454167948731
• The number of decimal digits it has is: 17
• The sum of 13784976145492032's digits is 75
• More coming soon!