13742871174144

Names of 13742871174144

• Cardinal: 13742871174144 can be written as Thirteen trillion, seven hundred forty-two billion, eight hundred seventy-one million, one hundred seventy-four thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 1.3742871174144 × 10¹³

Factors of 13742871174144

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 17903

Divisors of 13742871174144

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 128 144 147 162 168 189 192 196 216 224 243 252 256 288 294 324 336 343 378 384 392 432 441 448 486 504 512 567 576 588 648 672 686 729 756 768 784 864 882 896 972 1008 1024 1029 1134 1152 1176 1296 1323 1344 1372 1458 1512 1536 1568 1701 1728 1764 1792 1944 2016 2058 2187 2268 2304 2352 2592 2646 2688 2744 2916 3024 3072 3087 3136 3402 3456 3528 3584 3888 3969 4032 4116 4374 4536 4608 4704 5103 5184 5292 5376 5488 5832 6048 6174 6272 6804 6912 7056 7168 7776 7938 8064 8232 8748 9072 9216 9261 9408 10206 10368 10584 10752 10976 11664 11907 12096 12348 12544 13608 13824 14112 15309 15552 15876 16128 16464 17496 17891 18144 18522 18816 20412 20736 21168 21504 21952 23328 23814 24192 24696 25088 27216 27648 27783 28224 30618 31104 31752 32256 32928 34992 35721 35782 36288 37044 37632 40824 41472 42336 43904 46656 47628 48384 49392 50176 53673 54432 55566 56448 61236 62208 63504 64512 65856 69984 71442 71564 72576 74088 75264 81648 82944 83349 84672 87808 93312 95256 96768 98784 107163 107346 108864 111132 112896 122472 124416 125237 127008 131712 139968 142884 143128 145152 148176 150528 161019 163296 166698 169344 175616 186624 190512 193536 197568 214326 214692 217728 222264 225792 244944 248832 250047 250474 254016 263424 279936 285768 286256 290304 296352 322038 326592 333396 338688 351232 373248 375711 381024 395136 428652 429384 435456 444528 451584 483057 489888 500094 500948 508032 526848 559872 571536 572512 580608 592704 644076 653184 666792 677376 746496 750141 751422 762048 790272 857304 858768 870912 876659 889056 966114 979776 1000188 1001896 1016064 1053696 1119744 1127133 1143072 1145024 1185408 1288152 1306368 1333584 1354752 1449171 1500282 1502844 1524096 1580544 1714608 1717536 1741824 1753318 1778112 1932228 1959552 2000376 2003792 2032128 2239488 2254266 2286144 2290048 2370816 2576304 2612736 2629977 2667168 2898342 3000564 3005688 3048192 3161088 3381399 3429216 3435072 3506636 3556224 3864456 3919104 4000752 4007584 4064256 4347513 4508532 4572288 4580096 4741632 5152608 5225472 5259954 5334336 5796684 6001128 6011376 6096384 6136613 6762798 6858432 6870144 7013272 7112448 7728912 7838208 7889931 8001504 8015168 8695026 9017064 9144576 9160192 9483264 10144197 10305216 10519908 10668672 11593368 12002256 12022752 12192768 12273226 13042539 13525596 13716864 13740288 14026544 14224896 15457824 15676416 15779862 16003008 16030336 17390052 18034128 18289152 18320384 18409839 20288394 20610432 21039816 21337344 23186736 23669793 24004512 24045504 24546452 26085078 27051192 27433728 27480576 28053088 28449792 30432591 30915648 31559724 32006016 32060672 34780104 36068256 36578304 36819678 39127617 40576788 41220864 42079632 42674688 46373472 47339586 48009024 48091008 49092904 52170156 54102384 54867456 54961152 55229517 56106176 60865182 61831296 63119448 64012032 64121344 69560208 71009379 72136512 73639356 78255234 81153576 82441728 84159264 85349376 91297773 92746944 94679172 96018048 96182016 98185808 104340312 108204768 109734912 110459034 112212352 121730364 123662592 126238896 128024064 128242688 139120416 142018758 144273024 147278712 156510468 162307152 164883456 165688551 168318528 182595546 185493888 189358344 192036096 192364032 196371616 208680624 213028137 216409536 220918068 224424704 243460728 247325184 252477792 256048128 273893319 278240832 284037516 288546048 294557424 313020936 324614304 331377102 336637056 365191092 370987776 378716688 384072192 384728064 392743232 417361248 426056274 432819072 441836136 448849408 486921456 494650368 497065653 504955584 547786638 556481664 568075032 577092096 589114848 626041872 639084411 649228608 662754204 673274112 730382184 741975552 757433376 768144384 785486464 834722496 852112548 865638144 883672272 897698816 973842912 994131306 1009911168 1095573276 1112963328 1136150064 1154184192 1178229696 1252083744 1278168822 1298457216 1325508408 1346548224 1460764368 1483951104 1491196959 1514866752 1570972928 1669444992 1704225096 1731276288 1767344544 1917253233 1947685824 1988262612 2019822336 2191146552 2225926656 2272300128 2356459392 2504167488 2556337644 2596914432 2651016816 2693096448 2921528736 2982393918 3029733504 3141945856 3338889984 3408450192 3462552576 3534689088 3834506466 3895371648 3976525224 4039644672 4382293104 4451853312 4473590877 4544600256 4712918784 5008334976 5112675288 5193828864 5302033632 5843057472 5964787836 6059467008 6283891712 6677779968 6816900384 7069378176 7669012932 7790743296 7953050448 8079289344 8764586208 8947181754 9089200512 9425837568 10016669952 10225350576 10387657728 10604067264 11686114944 11929575672 12118934016 13355559936 13420772631 13633800768 14138756352 15338025864 15581486592 15906100896 17529172416 17894363508 18178401024 18851675136 20033339904 20450701152 21208134528 23372229888 23859151344 24237868032 26841545262 27267601536 28277512704 30676051728 31162973184 31812201792 35058344832 35788727016 36356802048 40066679808 40901402304 42416269056 46744459776 47718302688 53683090524 54535203072 56555025408 61352103456 63624403584 70116689664 71577454032 72713604096 81802804608 84832538112 93488919552 95436605376 107366181048 109070406144 122704206912 127248807168 140233379328 143154908064 163605609216 169665076224 190873210752 214732362096 218140812288 245408413824 254497614336 280466758656 286309816128 327211218432 381746421504 429464724192 490816827648 508995228672 572619632256 654422436864 763492843008 858929448384 981633655296 1145239264512 1526985686016 1717858896768 1963267310592 2290478529024 3435717793536 4580957058048 6871435587072 13742871174144
• Sum of all divisors σ(n): 48051900288000
• Sum of proper divisors (its aliquot sum) s(n): 34309029113856
• 13742871174144 is an abundant number, because the sum of its proper divisors (34309029113856) is greater than itself. Its abundance is 20566157939712

Bases of 13742871174144

• Binary: 11000111111111000010111101000101110000000000₂
• Hexadecimal: 0xC7FC2F45C00
• Base-36: 4VDDYO000

Squares and roots of 13742871174144

• 13742871174144 squared (13742871174144²) is 188866508109118085174132736
• 13742871174144 cubed (13742871174144³) is 2595568090054032956469378552289227177984
• The square root of 13742871174144 is 3707137.8682406729
• The cube root of 13742871174144 is 23952.9583031911

Scales and comparisons

• 13,742,871,174,144 seconds is equal to 436,980 years, 41 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
• To count from 1 to 13,742,871,174,144 would take you about one million, ninety-two thousand, four hundred fifty-one 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 13742871174144 cubic inches would be around 1996.1 feet tall.

Recreational maths with 13742871174144

• 13742871174144 backwards is 44147117824731
• 13742871174144 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13742871174144's digits is 54
• More coming soon!