13874690688768

Names of 13874690688768

• Cardinal: 13874690688768 can be written as Thirteen trillion, eight hundred seventy-four billion, six hundred ninety million, six hundred eighty-eight thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.3874690688768 × 10¹³

Factors of 13874690688768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 356

Divisors of 13874690688768

• 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 98 104 112 117 126 128 144 147 156 168 169 182 192 196 208 224 234 252 256 273 288 294 312 331 336 338 364 384 392 416 441 448 468 504 507 546 576 588 624 637 662 672 676 728 768 784 819 832 882 896 936 993 1008 1014 1092 1152 1176 1183 1248 1274 1324 1344 1352 1456 1521 1568 1638 1664 1764 1792 1872 1911 1986 2016 2028 2184 2197 2304 2317 2352 2366 2496 2548 2648 2688 2704 2912 2979 3042 3136 3276 3328 3528 3549 3744 3822 3972 4032 4056 4303 4368 4394 4634 4704 4732 4992 5096 5296 5376 5408 5733 5824 5958 6084 6272 6552 6591 6951 7056 7098 7488 7644 7944 8064 8112 8281 8606 8736 8788 9268 9408 9464 9984 10192 10592 10647 10816 11466 11648 11916 12168 12544 12909 13104 13182 13902 14112 14196 14976 15288 15379 15888 16128 16219 16224 16562 17212 17472 17576 18536 18816 18928 19773 20384 20853 21184 21294 21632 22932 23296 23832 24336 24843 25818 26208 26364 27804 28224 28392 28561 29952 30121 30576 30758 31776 32438 32448 33124 34424 34944 35152 37072 37632 37856 38727 39546 40768 41706 42368 42588 43264 45864 46137 47664 48657 48672 49686 51636 52416 52728 55608 55939 56448 56784 57122 60242 61152 61516 63552 64876 64896 66248 68848 69888 70304 74144 74529 75712 77454 79092 81536 83412 84736 85176 85683 90363 91728 92274 95328 97314 97344 99372 103272 104832 105456 107653 111216 111878 112896 113568 114244 120484 122304 123032 127104 129752 129792 132496 137696 138411 140608 145971 148288 149058 151424 154908 158184 163072 166824 167817 170352 171366 180726 183456 184548 190656 194628 194688 198744 199927 206544 209664 210847 210912 215306 222432 223756 227136 228488 240968 244608 246064 254208 257049 259504 264992 271089 275392 276822 281216 291942 296576 298116 302848 309816 316368 322959 333648 335634 340704 342732 361452 366912 369096 371293 381312 389256 389376 391573 397488 399854 413088 421694 421824 430612 444864 447512 454272 456976 481936 489216 492128 503451 514098 519008 529984 542178 550784 553644 562432 583884 593152 596232 599781 619632 632541 632736 645918 667296 671268 681408 685464 722904 727207 733824 738192 742586 762624 778512 783146 794976 799708 826176 843388 843648 861224 889728 895024 908544 913952 963872 968877 984256 1006902 1028196 1038016 1059968 1084356 1101568 1107288 1113879 1167768 1174719 1192464 1199562 1239264 1265082 1265472 1291836 1334592 1342536 1362816 1370928 1399489 1445808 1454414 1467648 1476384 1485172 1557024 1566292 1589952 1599416 1652352 1686776 1687296 1722448 1779456 1790048 1799343 1827904 1897623 1927744 1937754 1968512 2013804 2056392 2076032 2119936 2168712 2181621 2214576 2227758 2335536 2349438 2384928 2399124 2478528 2530164 2530944 2583672 2599051 2669184 2685072 2725632 2741011 2741856 2798978 2891616 2908828 2952768 2970344 3114048 3132584 3179904 3198832 3304704 3341637 3373552 3444896 3524157 3580096 3598686 3655808 3795246 3855488 3875508 3937024 4027608 4112784 4152064 4198467 4337424 4363242 4429152 4455516 4671072 4698876 4769856 4798248 4957056 5060328 5061888 5090449 5167344 5198102 5338368 5370144 5482022 5483712 5597956 5783232 5817656 5905536 5940688 6228096 6265168 6359808 6397664 6544863 6683274 6747104 6889792 7048314 7160192 7197372 7311616 7590492 7710976 7751016 7797153 8055216 8223033 8225568 8396934 8674848 8726484 8858304 8911032 9342144 9397752 9453691 9539712 9596496 9914112 10120656 10180898 10334688 10396204 10740288 10964044 10967424 11195912 11566464 11635312 11811072 11881376 12456192 12530336 12595401 12795328 13089726 13366548 13494208 13779584 14096628 14320384 14394744 15180984 15271347 15502032 15594306 16110432 16446066 16451136 16793868 17349696 17452968 17716608 17822064 18193357 18684288 18795504 18907382 19079424 19192992 20241312 20361796 20669376 20792408 21480576 21928088 21934848 22391824 23132928 23270624 23391459 23762752 24669099 25060672 25190802 25590656 26179452 26733096 26988416 27559168 28193256 28361073 28789488 30361968 30542694 31004064 31188612 32220864 32892132 32902272 33587736 34699392 34905936 35433216 35633143 35644128 36386714 37368576 37591008 37814764 38385984 40482624 40723592 41338752 41584816 42961152 43856176 44783648 45814041 46541248 46782918 47525504 49338198 50121344 50381604 51181312 52358904 53466192 53976832 54580071 56386512 56722146 57578976 60723936 61085388 62008128 62377224 64441728 65784264 65804544 66175837 67175472 69398784 69811872 71266286 71288256 72773428 75182016 75629528 76771968 80965248 81447184 82677504 83169632 85083219 87712352 89567296 91628082 93082496 93565836 95051008 98676396 100242688 100763208 104717808 106899429 106932384 109160142 112773024 113444292 115157952 121447872 122170776 122897983 124016256 124754448 128883456 131568528 132351674 134350944 139623744 142532572 142576512 145546856 150364032 151259056 153543936 161930496 162894368 163740213 166339264 170166438 175424704 179134592 183256164 186164992 187131672 197352792 198527511 201526416 209435616 213798858 213864768 218320284 225546048 226888584 230315904 242895744 244341552 245795966 248032512 249508896 263137056 264703348 268701888 279247488 285065144 285153024 291093712 300728064 302518112 320698287 325788736 327480426 332678528 340332876 350849408 358269184 366512328 368693949 374263344 394705584 397055022 403052832 418871232 427597716 427729536 436640568 451092096 453777168 460631808 463230859 485791488 488683104 491591932 499017792 526274112 529406696 537403776 558494976 570130288 582187424 595582533 605036224 641396574 651577472 654960852 665357056 680665752 701698816 733024656 737387898 748526688 789411168 794110044 806105664 837742464 855195432 855459072 860285881 873281136 902184192 907554336 926461718 977366208 983183864 998035584 1052548224 1058813392 1074807552 1106081847 1140260576 1164374848 1191165066 1210072448 1282793148 1303154944 1309921704 1361331504 1389692577 1466049312 1474775796 1497053376 1578822336 1588220088 1612211328 1675484928 1710390864 1720571762 1746562272 1815108672 1852923436 1954732416 1966367728 1996071168 2105096448 2117626784 2212163694 2280521152 2328749696 2382330132 2420144896 2565586296 2580857643 2619843408 2722663008 2779385154 2932098624 2949551592 2994106752 3157644672 3176440176 3224422656 3420781728 3441143524 3493124544 3630217344 3705846872 3909464832 3932735456 4169077731 4235253568 4424327388 4561042304 4657499392 4764660264 5131172592 5161715286 5239686816 5445326016 5558770308 5864197248 5899103184 5988213504 6022001167 6315289344 6352880352 6841563456 6882287048 6986249088 7260434688 7411693744 7742572929 7865470912 8338155462 8470507136 8848654776 9122084608 9529320528 10262345184 10323430572 10479373632 10890652032 11117540616 11728394496 11798206368 12044002334 12705760704 13683126912 13764574096 13972498176 14823387488 15485145858 15730941824 16676310924 16941014272 17697309552 18066003501 19058641056 20524690368 20646861144 20958747264 21781304064 22235081232 23596412736 24088004668 25411521408 27366253824 27529148192 29646774976 30970291716 31461883648 33352621848 35394619104 36132007002 38117282112 41049380736 41293722288 41917494528 44470162464 47192825472 48176009336 50823042816 54198010503 55058296384 59293549952 61940583432 66705243696 70789238208 72264014004 76234564224 82098761472 82587444576 88940324928 94385650944 96352018672 108396021006 110116592768 118587099904 123881166864 133410487392 141578476416 144528028008 152469128448 165174889152 177880649856 192704037344 216792042012 220233185536 247762333728 266820974784 283156952832 289056056016 330349778304 355761299712 385408074688 433584084024 495524667456 533641949568 578112112032 660699556608 770816149376 867168168048 991049334912 1067283899136 1156224224064 1541632298752 1734336336096 1982098669824 2312448448128 3468672672192 4624896896256 6937345344384 13874690688768
• Sum of all divisors σ(n): 50565693702888
• Sum of proper divisors (its aliquot sum) s(n): 36691003014120
• 13874690688768 is an abundant number, because the sum of its proper divisors (36691003014120) is greater than itself. Its abundance is 22816312325352

Bases of 13874690688768

• Binary: 11001001111001110100000000101000011100000000₂
• Hexadecimal: 0xC9E74028700
• Base-36: 4X1Y0LOG0

Squares and roots of 13874690688768

• 13874690688768 squared (13874690688768²) is 192507041708985438241357824
• 13874690688768 cubed (13874690688768³) is 2670975659121933273927467313698105720832
• The square root of 13874690688768 is 3724874.5869851779
• The cube root of 13874690688768 is 24029.2991065429

Scales and comparisons

• 13,874,690,688,768 seconds is equal to 441,172 years, 12 weeks, 5 days, 18 hours, 52 minutes, 48 seconds.
• To count from 1 to 13,874,690,688,768 would take you about one million, one hundred two thousand, nine 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 13874690688768 cubic inches would be around 2002.4 feet tall.

Recreational maths with 13874690688768

• 13874690688768 backwards is 86788609647831
• The number of decimal digits it has is: 14
• The sum of 13874690688768's digits is 81
• More coming soon!