13680956386944

Names of 13680956386944

• Cardinal: 13680956386944 can be written as Thirteen trillion, six hundred eighty billion, nine hundred fifty-six million, three hundred eighty-six thousand, nine hundred forty-four.

Scientific notation

• Scientific notation: 1.3680956386944 × 10¹³

Factors of 13680956386944

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1152

Divisors of 13680956386944

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 64 66 72 77 84 88 96 99 112 121 126 128 132 144 154 168 176 192 198 224 231 242 252 264 288 308 336 352 363 384 396 448 462 484 504 528 576 616 672 693 704 726 792 847 896 924 968 1008 1056 1089 1129 1152 1232 1331 1344 1386 1408 1452 1584 1694 1848 1936 2016 2112 2178 2258 2464 2541 2662 2688 2772 2904 3168 3387 3388 3696 3872 3993 4032 4224 4356 4516 4928 5082 5324 5544 5808 6336 6774 6776 7392 7623 7744 7903 7986 8064 8712 9032 9317 9856 10161 10164 10648 11088 11616 11979 12419 12672 13548 13552 14784 15246 15488 15806 15972 17424 18064 18634 20322 20328 21296 22176 23232 23709 23958 24838 27096 27104 27951 29568 30492 31612 31944 34848 36128 37257 37268 40644 40656 42592 44352 46464 47418 47916 49676 54192 54208 55902 60984 63224 63888 69696 71127 72256 74514 74536 81288 81312 83853 85184 86933 88704 94836 95832 99352 108384 108416 111771 111804 121968 126448 127776 136609 139392 142254 144512 149028 149072 162576 162624 167706 170368 173866 189672 191664 198704 216768 223542 223608 243936 252896 255552 260799 273218 284508 298056 298144 325152 325248 335412 347732 379344 383328 397408 409827 433536 447084 447216 487872 505792 511104 521598 546436 569016 596112 596288 650304 670824 695464 758688 766656 782397 794816 819654 894168 894432 956263 975744 1011584 1043196 1092872 1138032 1192224 1192576 1229481 1274641 1300608 1341648 1390928 1502699 1517376 1533312 1564794 1589632 1639308 1788336 1788864 1912526 2086392 2185744 2276064 2384448 2458962 2549282 2683296 2781856 2868789 3005398 3034752 3129588 3278616 3576672 3577728 3823923 3825052 4172784 4371488 4508097 4552128 4768896 4917924 5098564 5366592 5563712 5737578 6010796 6259176 6557232 7153344 7647846 7650104 8345568 8606367 8742976 8922487 9016194 9104256 9835848 10197128 10518893 10733184 11127424 11471769 11475156 12021592 12518352 13114464 13524291 14021051 14306688 15295692 15300208 16691136 17212734 17485952 17844974 18032388 19671696 20394256 21037786 22943538 22950312 24043184 25036704 26228928 26767461 27048582 28042102 30591384 30600416 31556679 33382272 34425468 35689948 36064776 39343392 40788512 42063153 42075572 45887076 45900624 48086368 50073408 52457856 53534922 54097164 56084204 61182768 61200832 63113358 68850936 71379896 72129552 78686784 80302383 81577024 84126306 84151144 91774152 91801248 94670037 96172736 98147357 100146816 107069844 108194328 112168408 122365536 122401664 126189459 126226716 137701872 142759792 144259104 154231561 157373568 160604766 163154048 168252612 168302288 183548304 183602496 189340074 192345472 196294714 214139688 216388656 224336816 244731072 252378918 252453432 275403744 285519584 288518208 294442071 308463122 321209532 336505224 336604576 367096608 367204992 378680148 392589428 428279376 432777312 448673632 462694683 489462144 504757836 504906864 550807488 571039168 577036416 588884142 616926244 642419064 673010448 673209152 734193216 757360296 785178856 856558752 865554624 883326213 897347264 925389366 1009515672 1009813728 1079620927 1101614976 1142078336 1177768284 1233852488 1284838128 1346020896 1346418304 1388084049 1468386432 1514720592 1570357712 1696547171 1713117504 1731109248 1766652426 1794694528 1850778732 2019031344 2019627456 2159241854 2355536568 2467704976 2569676256 2692041792 2776168098 3029441184 3140715424 3238862781 3393094342 3426235008 3533304852 3701557464 4038062688 4039254912 4318483708 4711073136 4935409952 5089641513 5139352512 5384083584 5552336196 6058882368 6281430848 6477725562 6786188684 7066609704 7403114928 8076125376 8636967416 9422146272 9716588343 9870819904 10179283026 10278705024 11104672392 11875830197 12117764736 12562861696 12955451124 13572377368 14133219408 14806229856 15268924539 16152250752 17273934832 18844292544 19433176686 19741639808 20358566052 22209344784 23751660394 25910902248 27144754736 28266438816 29612459712 30537849078 34547869664 35627490591 37688585088 38866353372 40717132104 44418689568 47503320788 51821804496 54289509472 56532877632 59224919424 61075698156 69095739328 71254981182 77732706744 81434264208 88837379136 95006641576 103643608992 106882471773 108579018944 113065755264 122151396312 138191478656 142509962364 155465413488 162868528416 177674758272 190013283152 207287217984 213764943546 217158037888 244302792624 285019924728 310930826976 325737056832 380026566304 414574435968 427529887092 488605585248 570039849456 621861653952 651474113664 760053132608 855059774184 977211170496 1140079698912 1243723307904 1520106265216 1710119548368 1954422340992 2280159397824 3420239096736 4560318795648 6840478193472 13680956386944
• Sum of all divisors σ(n): 49532166290880
• Sum of proper divisors (its aliquot sum) s(n): 35851209903936
• 13680956386944 is an abundant number, because the sum of its proper divisors (35851209903936) is greater than itself. Its abundance is 22170253516992

Bases of 13680956386944

• Binary: 11000111000101011000100010111010111010000000₂
• Hexadecimal: 0xC71588BAE80
• Base-36: 4UKY078G0

Squares and roots of 13680956386944

• 13680956386944 squared (13680956386944²) is 187168567661463826653659136
• 13680956386944 cubed (13680956386944³) is 2560645011183263753237796819287496720384
• The square root of 13680956386944 is 3698777.6882294509
• The cube root of 13680956386944 is 23916.9329574663

Scales and comparisons

• 13,680,956,386,944 seconds is equal to 435,012 years, 4 weeks, 6 days, 15 hours, 2 minutes, 24 seconds.
• To count from 1 to 13,680,956,386,944 would take you about one million, eighty-seven thousand, five hundred thirty 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 13680956386944 cubic inches would be around 1993.1 feet tall.

Recreational maths with 13680956386944

• 13680956386944 backwards is 44968365908631
• 13680956386944 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13680956386944's digits is 72
• More coming soon!