13705313893128

Names of 13705313893128

• Cardinal: 13705313893128 can be written as Thirteen trillion, seven hundred five billion, three hundred thirteen million, eight hundred ninety-three thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.3705313893128 × 10¹³

Factors of 13705313893128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 142

Divisors of 13705313893128

• Number of divisors d(n): 972
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 81 88 99 104 108 113 117 121 132 143 156 162 169 198 216 226 234 242 243 264 286 297 312 324 338 339 351 363 396 429 452 468 484 486 507 572 594 648 676 678 702 726 729 792 858 891 904 936 968 972 1014 1017 1053 1089 1144 1188 1243 1287 1352 1356 1404 1452 1458 1469 1521 1573 1716 1782 1859 1944 2028 2034 2106 2178 2187 2376 2486 2574 2673 2712 2808 2904 2916 2938 3042 3051 3146 3159 3267 3432 3564 3718 3729 3861 4056 4068 4212 4356 4374 4407 4563 4719 4972 5148 5346 5577 5832 5876 6084 6102 6292 6318 6534 6561 7128 7436 7458 7722 8019 8136 8424 8712 8748 8814 9126 9153 9438 9477 9801 9944 10296 10692 11154 11187 11583 11752 12168 12204 12584 12636 12769 13068 13122 13221 13673 13689 14157 14872 14916 15444 16038 16159 16731 17496 17628 18252 18306 18876 18954 19097 19602 20449 21384 22308 22374 23166 24057 24408 25272 25538 26136 26244 26442 27346 27378 27459 28314 28431 29403 29832 30888 32076 32318 33462 33561 34749 35256 36504 36612 37752 37908 38194 38307 39204 39663 40898 41019 41067 42471 44616 44748 46332 48114 48477 50193 51076 52488 52884 54692 54756 54918 56628 56862 57291 58806 61347 64152 64636 66924 67122 69498 72171 73224 75816 76388 76614 78408 79326 81796 82038 82134 82377 84942 85293 88209 89496 92664 96228 96954 100386 100683 102152 104247 105768 109384 109512 109836 113256 113724 114582 114921 117612 118989 122694 123057 123201 127413 129272 133848 134244 138996 140459 144342 145431 150579 152776 153228 158652 163592 164076 164268 164754 165997 169884 170586 171873 176418 177749 184041 192456 193908 200772 201366 208494 210067 219672 227448 229164 229842 235224 237978 245388 246114 246402 247131 254826 264627 268488 277992 280918 288684 290862 301158 302049 306456 312741 317304 328152 328536 329508 331994 339768 341172 343746 344763 352836 355498 356967 368082 369171 369603 382239 387816 401544 402732 416988 420134 421377 436293 451737 458328 459684 475956 490776 492228 492804 494262 497991 509652 515619 529254 533247 552123 561836 577368 581724 602316 604098 625482 630201 659016 663988 682344 687492 689526 705672 710996 713934 736164 738342 739206 741393 764478 793881 805464 833976 840268 842754 872586 903474 906147 919368 938223 951912 984456 985608 988524 995982 1019304 1031238 1034289 1058508 1066494 1070901 1104246 1107513 1108809 1123672 1146717 1163448 1204632 1208196 1250964 1260402 1264131 1308879 1327976 1355211 1374984 1379052 1421992 1427868 1472328 1476684 1478412 1482786 1493973 1528956 1545049 1546857 1587762 1599741 1656369 1680536 1685508 1745172 1806948 1812294 1825967 1876446 1890603 1977048 1991964 2062476 2068578 2117016 2132988 2141802 2157961 2208492 2215026 2217618 2293434 2310737 2416392 2501928 2520804 2528262 2617758 2710422 2718441 2758104 2855736 2953368 2956824 2965572 2987946 3057912 3090098 3093714 3102867 3175524 3199482 3212703 3312738 3322539 3371016 3440151 3490344 3613896 3624588 3651934 3752892 3781206 3792393 3926637 3983928 4065633 4124952 4137156 4265976 4283604 4315922 4416984 4430052 4435236 4481919 4586868 4621474 4635147 4640571 4799223 4969107 5041608 5056524 5235516 5420844 5436882 5477901 5671809 5931144 5975892 6180196 6187428 6205734 6351048 6398964 6425406 6473883 6625476 6645078 6880302 6932211 7249176 7303868 7505784 7562412 7584786 7853274 8131266 8155323 8274312 8567208 8631844 8860104 8870472 8963838 9173736 9242948 9270294 9281142 9308601 9598446 9638109 9938214 9967617 10113048 10320453 10471032 10841688 10873764 10955802 11343618 11377179 11779911 11951784 12196899 12360392 12374856 12411468 12797928 12850812 12947766 13250952 13290156 13445757 13760604 13864422 13905441 13921713 14397669 14607736 14907321 15124824 15169572 15706548 16262532 16310646 16433703 17015427 17263688 17927676 18485896 18540588 18562284 18617202 19196892 19276218 19421649 19876428 19935234 20085637 20640906 20796633 21747528 21911604 22687236 22754358 23559822 23737571 24393798 24822936 25701624 25895532 26580312 26891514 27521208 27728844 27810882 27843426 27925803 28795338 29814642 29902851 30339144 31413096 32525064 32621292 32867406 34030854 34131537 35339733 35855352 37081176 37124568 37234404 38393784 38552436 38843298 39752856 39870468 40171274 40337271 41281812 41593266 41716323 41765139 43193007 43823208 44721963 45374472 45508716 47119644 47475142 48787596 49301109 51046281 51791064 53783028 55457688 55621764 55686852 55851606 57590676 58264947 59629284 59805702 60256911 62389899 65242584 65734812 68061708 68263074 70679466 71212713 74468808 77104872 77686596 79740936 80342548 80674542 82563624 83186532 83432646 83530278 83777409 86386014 89443926 89708553 91017432 94239288 94950284 97575192 98602218 102092562 102394611 106019199 107566056 111243528 111373704 111703212 115181352 116529894 119258568 119611404 120513822 121011813 124779798 125148969 125295417 129579021 131469624 134165889 136123416 136526148 141358932 142425426 147903327 153138843 155373192 160685096 161349084 166373064 166865292 167060556 167554818 172772028 174794841 178887852 179417106 180770733 187169697 189900568 197204436 204185124 204789222 212038398 213638139 223406424 233059788 239222808 241027644 242023626 249559596 250297938 250590834 259158042 261113281 268331778 273052296 282717864 284850852 295806654 306277686 307183833 322698168 333730584 334121112 335109636 345544056 349589682 357775704 358834212 361541466 363035439 374339394 375446907 388737063 394408872 408370248 409578444 424076796 427276278 443709981 459416529 466119576 482055288 484047252 499119192 500595876 501181668 518316084 522226562 524384523 536663556 542312199 561509091 569701704 591613308 612555372 614367666 640914417 670219272 699179364 717668424 723082932 726070878 748678788 750893814 777474126 783339843 819156888 848153592 854552556 887419962 918833058 921551499 968094504 1001191752 1002363336 1036632168 1044453124 1048769046 1073327112 1084624398 1089106317 1123018182 1126340721 1166211189 1183226616 1225110744 1228735332 1281828834 1331129943 1378249587 1398358728 1446165864 1452141756 1497357576 1501787628 1554948252 1566679686 1573153569 1626936597 1684527273 1709105112 1774839924 1837666116 1843102998 1922743251 2088906248 2097538092 2169248796 2178212634 2246036364 2252681442 2332422378 2350019529 2457470664 2563657668 2662259886 2756499174 2904283512 3003575256 3109896504 3133359372 3146307138 3253873194 3369054546 3379022163 3549679848 3675332232 3686205996 3845486502 3993389829 4195076184 4338497592 4356425268 4492072728 4505362884 4664844756 4700039058 4719460707 4880809791 5053581819 5127315336 5324519772 5512998348 5768229753 6266718744 6292614276 6507746388 6738109092 6758044326 7050058587 7372411992 7690973004 7986779658 8712850536 9010725768 9329689512 9400078116 9438921414 9761619582 10107163638 10137066489 10649039544 11025996696 11536459506 11980169487 12585228552 13015492776 13476218184 13516088652 14100117174 14158382121 14642429373 15160745457 15381946008 15973559316 17304689259 18800156232 18877842828 19523239164 20214327276 20274132978 21150175761 23072919012 23960338974 27032177304 28200234348 28316764242 29284858746 30321490914 31947118632 34609378518 37755685656 39046478328 40428654552 40548265956 42300351522 43927288119 46145838024 47920677948 51914067777 56400468696 56633528484 58569717492 60642981828 63450527283 69218757036 81096531912 84600703044 87854576238 95841355896 103828135554 113267056968 117139434984 121285963656 126901054566 131781864357 138437514072 155742203331 169201406088 175709152476 190351581849 207656271108 253802109132 263563728714 311484406662 351418304952 380703163698 415312542216 507604218264 527127457428 571054745547 622968813324 761406327396 1054254914856 1142109491094 1245937626648 1522812654792 1713164236641 2284218982188 3426328473282 4568437964376 6852656946564 13705313893128
• Sum of all divisors σ(n): 46286061531255
• Sum of proper divisors (its aliquot sum) s(n): 32580747638127
• 13705313893128 is an abundant number, because the sum of its proper divisors (32580747638127) is greater than itself. Its abundance is 18875433744999

Bases of 13705313893128

• Binary: 11000111011100000100010111011011101100001000₂
• Hexadecimal: 0xC77045DBB08
• Base-36: 4UW4U14I0

Squares and roots of 13705313893128

• 13705313893128 squared (13705313893128²) is 187835628909167375805624384
• 13705313893128 cubed (13705313893128³) is 2574346254513247031191549361677886833152
• The square root of 13705313893128 is 3702068.8666106683
• The cube root of 13705313893128 is 23931.1184047505

Scales and comparisons

• 13,705,313,893,128 seconds is equal to 435,786 years, 30 weeks, 4 days, 4 hours, 58 minutes, 48 seconds.
• To count from 1 to 13,705,313,893,128 would take you about one million, eighty-nine thousand, four hundred sixty-six 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 13705313893128 cubic inches would be around 1994.3 feet tall.

Recreational maths with 13705313893128

• 13705313893128 backwards is 82139831350731
• 13705313893128 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13705313893128's digits is 54
• More coming soon!