13445403648768

Names of 13445403648768

• Cardinal: 13445403648768 can be written as Thirteen trillion, four hundred forty-five billion, four hundred three million, six hundred forty-eight thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.3445403648768 × 10¹³

Factors of 13445403648768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 2157

Divisors of 13445403648768

• Number of divisors d(n): 972
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 49 52 56 63 64 72 78 84 91 96 98 104 112 117 126 128 144 147 156 168 169 182 192 196 208 224 234 252 256 273 288 294 312 336 338 364 384 392 409 416 441 448 468 504 507 546 576 588 624 637 672 676 728 768 784 818 819 832 882 896 936 1008 1014 1092 1152 1176 1183 1227 1248 1274 1344 1352 1456 1521 1568 1636 1638 1664 1723 1764 1792 1872 1911 2016 2028 2184 2304 2352 2366 2454 2496 2548 2688 2704 2863 2912 3042 3136 3272 3276 3328 3446 3528 3549 3681 3744 3822 4032 4056 4368 4704 4732 4908 4992 5096 5169 5317 5376 5408 5726 5733 5824 6084 6272 6544 6552 6892 7056 7098 7362 7488 7644 8064 8112 8281 8589 8736 9408 9464 9816 9984 10192 10338 10634 10647 10816 11452 11466 11648 12061 12168 12544 13088 13104 13784 14112 14196 14724 14976 15288 15507 15951 16128 16224 16562 17178 17472 18816 18928 19632 20041 20384 20676 21268 21294 21632 22399 22904 22932 23296 24122 24336 24843 25767 26176 26208 27568 28224 28392 29448 29952 30576 31014 31902 32448 33124 34356 34944 36183 37219 37632 37856 39264 40082 40768 41352 42536 42588 43264 44798 45808 45864 47853 48244 48672 49686 51534 52352 52416 55136 56448 56784 58896 60123 61152 62028 63804 64896 66248 67197 68712 69121 69888 72366 74438 74529 75712 78528 80164 81536 82704 84427 85072 85176 89596 91616 91728 95706 96488 97344 99372 103068 104704 104832 108549 110272 111657 112896 113568 117792 120246 122304 124056 127608 129792 132496 134394 137424 138242 144732 148876 149058 151424 156793 157056 160328 163072 165408 168854 170144 170352 179192 180369 183232 183456 191412 192976 194688 198744 201591 206136 207363 209664 217098 220544 223314 227136 235584 240492 244608 248112 253281 255216 260533 264992 268788 274848 276484 289464 291187 297752 298116 302848 313586 314112 320656 330816 334971 337708 340288 340704 358384 360738 366464 366912 382824 385952 389376 397488 403182 412272 414726 434196 441088 446628 454272 470379 471168 480984 483847 489216 496224 506562 510432 521066 529984 537576 549696 552968 578928 582374 595504 596232 622089 627172 641312 661632 669942 675416 680576 681408 704707 716768 721476 732928 733824 759843 765648 771904 781599 794976 806364 824544 829452 868392 873561 893256 908544 940758 942336 961968 967694 992448 1013124 1020864 1042132 1059968 1075152 1097551 1099392 1105936 1157856 1164748 1191008 1192464 1244178 1254344 1282624 1323264 1339884 1350832 1361152 1362816 1409414 1411137 1433536 1442952 1451541 1467648 1519686 1531296 1543808 1563198 1589952 1612728 1649088 1658904 1736784 1747122 1786512 1881516 1923936 1935388 1984896 2026248 2038309 2041728 2084264 2114121 2119936 2150304 2195102 2198784 2211872 2315712 2329496 2344797 2382016 2384928 2488356 2508688 2565248 2620683 2679768 2701664 2725632 2818828 2822274 2867072 2885904 2903082 3039372 3062592 3087616 3126396 3179904 3225456 3292653 3298176 3317808 3386929 3473568 3494244 3573024 3763032 3847872 3870776 3969792 4052496 4076618 4083456 4168528 4228242 4300608 4354623 4390204 4423744 4631424 4658992 4689594 4764032 4769856 4932949 4976712 5017376 5130496 5241366 5359536 5403328 5637656 5644548 5734144 5771808 5806164 6078744 6114927 6125184 6252792 6342363 6359808 6450912 6585306 6596352 6635616 6773858 6947136 6988488 7146048 7526064 7695744 7741552 8104992 8153236 8337056 8456484 8601216 8709246 8780408 8847488 9161191 9262848 9317984 9379188 9528064 9539712 9865898 9877959 9953424 10034752 10160787 10482732 10719072 10806656 11275312 11289096 11543616 11612328 12157488 12229854 12250368 12505584 12684726 12901824 13170612 13271232 13547716 13894272 13976976 14268163 14292096 14798847 15052128 15391488 15483104 16209984 16306472 16674112 16912968 17202432 17418492 17560816 17694976 18322382 18344781 18635968 18758376 19079424 19731796 19755918 19906848 20069504 20321574 20965464 21438144 21613312 22550624 22578192 23087232 23224656 24314976 24459708 25011168 25369452 25803648 26341224 26542464 27095432 27483573 27788544 27953952 28536326 28584192 29597694 30104256 30482361 30966208 32419968 32612944 33348224 33825936 34530643 34836984 35121632 36644764 36689562 37271936 37516752 39463592 39511836 39813696 40139008 40643148 41930928 42804489 42876288 44396541 45101248 45156384 46174464 46449312 48629952 48919416 50022336 50738904 51607296 52682448 53084928 54190864 54967146 55907904 57072652 59195388 60208512 60964722 61932416 64128337 64839936 65225888 66696448 67651872 69061286 69673968 70243264 73289528 73379124 74543872 75033504 78927184 79023672 79627392 81286296 82450719 83861856 85608978 85752576 88793082 90202496 90312768 92898624 97259904 97838832 100044672 101477808 103591929 105364896 108381728 109934292 111815808 114145304 118390776 119095483 120417024 121929444 123864832 128256674 128413467 130451776 135303744 138122572 139347936 140486528 146579056 146758248 150067008 157854368 158047344 159254784 162572592 164901438 167723712 171217956 177586164 180404992 180625536 185797248 192385011 194519808 195677664 200089344 202955616 207183858 210729792 216763456 219868584 223631616 228290608 236781552 238190966 243858888 256513348 256826934 260903552 270607488 276245144 278695872 280973056 293158112 293516496 300134016 310775787 315708736 316094688 325145184 329802876 335447424 342435912 355172328 357286449 361251072 371594496 384770022 391355328 405911232 414367716 421459584 433526912 439737168 448898359 456581216 473563104 476381932 487717776 513026696 513653868 521807104 541214976 552490288 557391744 577155033 586316224 587032992 600268032 621551574 631417472 632189376 650290368 659605752 670894848 684871824 710344656 714572898 769540044 782710656 811822464 828735432 833668381 842919168 867053824 879474336 897796718 913162432 947126208 952763864 975435552 1026053392 1027307736 1071859347 1104980576 1114783488 1154310066 1172632448 1174065984 1243103148 1262834944 1264378752 1300580736 1319211504 1346695077 1369743648 1420689312 1429145796 1539080088 1565421312 1623644928 1657470864 1667336762 1758948672 1795593436 1826324864 1894252416 1905527728 1950871104 2052106784 2054615472 2143718694 2209961152 2308620132 2345264896 2348131968 2486206296 2501005143 2528757504 2601161472 2638423008 2693390154 2739487296 2841378624 2858291592 3078160176 3314941728 3334673524 3517897344 3591186872 3652649728 3788504832 3811055456 3901742208 4040085231 4104213568 4109230944 4287437388 4419922304 4617240264 4696263936 4972412592 5002010286 5276846016 5386780308 5478974592 5682757248 5716583184 5835678667 6156320352 6629883456 6669347048 7035794688 7182373744 7503015429 7622110912 7803484416 8080170462 8208427136 8218461888 8574874776 8839844608 9234480528 9944825184 10004020572 10553692032 10773560616 10957949184 11365514496 11433166368 11671357334 12312640704 13259766912 13338694096 14364747488 15006030858 15244221824 16160340924 16416854272 16436923776 17149749552 17507036001 18468961056 19889650368 20008041144 21107384064 21547121232 22866332736 23342714668 24625281408 26519533824 26677388192 28729494976 30012061716 30488443648 32320681848 32873847552 34299499104 35014072002 36937922112 39779300736 40016082288 43094242464 45732665472 46685429336 49250562816 52521108003 53354776384 57458989952 60024123432 64641363696 68598998208 70028144004 73875844224 79558601472 80032164576 86188484928 91465330944 93370858672 105042216006 106709552768 114917979904 120048246864 129282727392 137197996416 140056288008 147751688448 160064329152 172376969856 186741717344 210084432012 213419105536 240096493728 258565454784 274395992832 280112576016 320128658304 344753939712 373483434688 420168864024 480192987456 517130909568 560225152032 640257316608 746966869376 840337728048 960385974912 1034261819136 1120450304064 1493933738752 1680675456096 1920771949824 2240900608128 3361350912192 4481801216256 6722701824384 13445403648768
• Sum of all divisors σ(n): 48979158129720
• Sum of proper divisors (its aliquot sum) s(n): 35533754480952
• 13445403648768 is an abundant number, because the sum of its proper divisors (35533754480952) is greater than itself. Its abundance is 22088350832184

Bases of 13445403648768

• Binary: 11000011101010000000100000100010001100000000₂
• Hexadecimal: 0xC3A80822300
• Base-36: 4RKQE6KG0

Squares and roots of 13445403648768

• 13445403648768 squared (13445403648768²) is 180778879278303847907917824
• 13445403648768 cubed (13445403648768³) is 2430645003068696343199292834087102840832
• The square root of 13445403648768 is 3666797.4649233083
• The cube root of 13445403648768 is 23778.8737795999

Scales and comparisons

• 13,445,403,648,768 seconds is equal to 427,522 years, 12 weeks, 5 days, 18 hours, 52 minutes, 48 seconds.
• To count from 1 to 13,445,403,648,768 would take you about one million, sixty-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 13445403648768 cubic inches would be around 1981.6 feet tall.

Recreational maths with 13445403648768

• 13445403648768 backwards is 86784630454431
• 13445403648768 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13445403648768's digits is 63
• More coming soon!