13729710710782944

Names of 13729710710782944

• Cardinal: 13729710710782944 can be written as Thirteen quadrillion, seven hundred twenty-nine trillion, seven hundred ten billion, seven hundred ten million, seven hundred eighty-two thousand, nine hundred forty-four.

Scientific notation

• Scientific notation: 1.3729710710782944 × 10¹⁶

Factors of 13729710710782944

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 847

Divisors of 13729710710782944

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 811 837 864 961 992 1116 1488 1622 1674 1922 2232 2433 2883 2976 3244 3348 3844 4464 4866 5766 6488 6696 7299 7688 8649 8928 9732 11532 12976 13392 14598 15376 17298 19464 21897 23064 25141 25947 25952 26784 29196 29791 30752 34596 38928 43794 46128 50282 51894 58392 59582 69192 75423 77856 87588 89373 92256 100564 103788 116784 119164 138384 150846 175176 178746 201128 207576 226269 233568 238328 268119 276768 301692 350352 357492 402256 415152 452538 476656 536238 603384 657721 678807 700704 714984 779371 804357 804512 830304 905076 953312 1072476 1206768 1315442 1357614 1429968 1558742 1608714 1810152 1973163 2144952 2338113 2413536 2630884 2715228 2859936 3117484 3217428 3620304 3946326 4289904 4676226 5261768 5430456 5919489 6234968 6434856 7014339 7240608 7892652 8579808 9352452 10523536 10860912 11838978 12469936 12869712 14028678 15785304 17758467 18704904 20389351 21043017 21047072 21721824 23677956 24160501 24939872 25739424 28057356 31570608 35516934 37409808 40778702 42086034 47355912 48321002 56114712 61168053 63141216 71033868 72481503 74819616 81557404 84172068 94711824 96642004 112229424 122336106 142067736 144963006 163114808 168344136 183504159 189423648 193284008 217444509 224458848 244672212 284135472 289926012 326229616 336688272 367008318 386568016 434889018 489344424 533411731 550512477 568270944 579852024 632069881 652333527 652459232 673376544 734016636 773136032 869778036 978688848 1066823462 1101024954 1159704048 1264139762 1304667054 1468033272 1600235193 1739556072 1896209643 1957377696 2133646924 2202049908 2319408096 2528279524 2609334108 2936066544 3200470386 3479112144 3792419286 4267293848 4404099816 4800705579 5056559048 5218668216 5688628929 5872133088 6400940772 6958224288 7584838572 8534587696 8808199632 9601411158 10113118096 10437336432 11377257858 12801881544 14402116737 15169677144 16535763661 17065886787 17069175392 17616399264 19202822316 19594166311 20226236192 20874672864 22754515716 25603763088 28804233474 30339354288 33071527322 34131773574 38405644632 39188332622 45509031432 49607290983 51207526176 57608466948 58782498933 60678708576 66143054644 68263547148 76811289264 78376665244 91018062864 99214581966 115216933896 117564997866 132286109288 136527094296 148821872949 153622578528 156753330488 176347496799 182036125728 198429163932 230433867792 235129995732 264572218576 273054188592 297643745898 313506660976 352694993598 396858327864 446465618847 460867735584 470259991464 512608673491 529042490397 529144437152 546108377184 595287491796 627013321952 705389987196 793716655728 892931237694 940519982928 1025217346982 1058084980794 1190574983592 1410779974392 1537826020473 1587433311456 1785862475388 1881039965856 2050434693964 2116169961588 2381149967184 2821559948784 3075652040946 3571724950776 4100869387928 4232339923176 4613478061419 4762299934368 5643119897568 6151304081892 7143449901552 8201738775856 8464679846352 9226956122838 12302608163784 13840434184257 14286899803104 15890868878221 16403477551712 16929359692704 18453912245676 24605216327568 27680868368514 31781737756442 36907824491352 47672606634663 49210432655136 55361736737028 63563475512884 73815648982704 95345213269326 110723473474056 127126951025768 143017819903989 147631297965408 190690426538652 221446946948112 254253902051536 286035639807978 381380853077304 429053459711967 442893893896224 508507804103072 572071279615956 762761706154608 858106919423934 1144142559231912 1525523412309216 1716213838847868 2288285118463824 3432427677695736 4576570236927648 6864855355391472 13729710710782944
• Sum of all divisors σ(n): 41430863897579520
• Sum of proper divisors (its aliquot sum) s(n): 27701153186796576
• 13729710710782944 is an abundant number, because the sum of its proper divisors (27701153186796576) is greater than itself. Its abundance is 13971442476013632

Bases of 13729710710782944

• Binary: 110000110001110001100101100001110010001111101111100000₂
• Hexadecimal: 0x30C71961C8FBE0
• Base-36: 3R6RY0YKOO0

Squares and roots of 13729710710782944

• 13729710710782944 squared (13729710710782944²) is 188504956201787893344873481307136
• 13729710710782944 cubed (13729710710782944³) is 2588118516199356984833899780264578561575094288384
• The square root of 13729710710782944 is 117173848.2374925843
• The cube root of 13729710710782944 is 239453.0990851951

Scales and comparisons

• 13,729,710,710,782,944 seconds is equal to 436,562,331 years, 42 weeks, 4 days, 5 hours, 2 minutes, 24 seconds.
• To count from 1 to 13,729,710,710,782,944 would take you about one billion, three hundred nine million, six hundred eighty-six thousand, nine hundred ninety-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 13729710710782944 cubic inches would be around 19954.4 feet tall.

Recreational maths with 13729710710782944

• 13729710710782944 backwards is 44928701701792731
• 13729710710782944 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13729710710782944's digits is 72
• More coming soon!