13813505313972

Names of 13813505313972

• Cardinal: 13813505313972 can be written as Thirteen trillion, eight hundred thirteen billion, five hundred five million, three hundred thirteen thousand, nine hundred seventy-two.

Scientific notation

• Scientific notation: 1.3813505313972 × 10¹³

Factors of 13813505313972

• Number of distinct prime factors ω(n): 9
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 4218

Divisors of 13813505313972

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 12 13 14 17 21 23 26 28 31 34 39 42 46 51 52 62 68 69 78 84 91 92 93 102 119 124 138 156 161 182 186 204 217 221 238 271 273 276 299 322 357 364 372 391 403 434 442 476 483 527 542 546 598 644 651 663 713 714 782 806 813 868 884 897 966 1054 1084 1092 1173 1196 1209 1302 1326 1426 1428 1547 1564 1581 1612 1626 1794 1897 1932 2093 2108 2139 2346 2418 2604 2652 2737 2821 2852 3094 3162 3252 3523 3588 3689 3794 3851 4186 4278 4607 4641 4692 4836 4991 5083 5474 5642 5691 6188 6233 6279 6324 6851 7046 7378 7588 7702 8211 8372 8401 8463 8556 9214 9269 9282 9982 10166 10569 10948 11067 11284 11382 11553 12121 12466 12558 13702 13821 14092 14756 14973 15249 15404 16422 16802 16926 18428 18538 18564 18699 19964 20332 20553 21138 22134 22764 23106 24242 24661 24932 25116 25203 26957 27404 27642 27807 29946 30498 32249 32844 33604 33852 35581 36363 37076 37398 41106 42276 43631 44268 46212 47957 48484 49322 50063 50406 53914 55284 55614 58807 59891 59892 60996 64498 64883 65467 71162 72726 73983 74796 80871 81029 82212 84847 87262 88573 95914 96747 98644 100126 100812 105961 106743 107828 109213 111228 117614 119381 119782 128996 129766 130893 130934 142324 142817 143871 145452 147966 150189 157573 161742 162058 169694 174524 176421 177146 179673 191828 193223 193494 194649 196401 200252 211922 213486 218426 235228 238762 239564 243087 254541 259532 261786 261868 265719 285634 287742 295932 300378 315146 317883 323484 324116 327639 339388 350441 352842 354292 358143 359346 386446 386988 389298 392802 419237 423844 426972 428451 436852 458269 472719 477524 486174 509082 523572 531438 567203 571268 575484 579669 600756 620011 630292 635766 655278 700882 705684 716286 718692 741727 764491 772892 778596 785604 835667 838474 851071 856902 916538 945438 972348 999719 1018164 1043621 1051323 1062876 1103011 1134406 1151449 1159338 1240022 1257711 1271532 1310556 1352561 1374807 1377493 1401764 1432572 1483454 1505741 1528982 1551953 1671334 1676948 1701609 1702142 1713804 1833076 1856621 1860033 1890876 1999438 2029477 2087242 2102646 2206022 2225181 2268812 2293473 2302898 2318676 2480044 2507001 2511899 2515422 2553213 2705122 2745763 2749614 2754986 2966908 2999157 3011482 3057964 3103906 3130863 3284791 3309033 3342668 3403218 3404284 3454347 3713242 3720066 3998876 4057683 4058954 4132479 4174484 4205292 4412044 4450362 4517223 4586946 4605796 4655859 5014002 5023798 5030844 5106426 5410244 5491526 5499228 5509972 5569863 5957497 5998314 6022964 6088431 6207812 6261726 6569582 6618066 6806436 6908694 7305347 7426484 7440132 7535697 8060143 8115366 8117908 8237289 8264958 8900724 9034446 9173892 9311718 9642451 9854373 10028004 10047596 10212852 10540187 10863671 10983052 11139726 11914994 11996628 12176862 12523452 12996347 13139164 13236132 13567073 13817388 14206339 14610694 15071394 16120286 16230732 16474578 16529916 17583293 17741557 17872491 18068892 18623436 19220341 19284902 19574633 19708746 21080374 21727342 21916041 22279452 22993537 23829988 24003283 24180429 24353724 25992694 26383201 27134146 28412678 28927353 29221388 30142788 31620561 32240572 32352251 32591013 32949156 35166586 35483114 35694919 35744982 38440682 38569804 38989041 39149266 39417492 40701219 42160748 42619017 42702283 43454684 43832082 45987074 46677971 48006566 48360858 51985388 52749879 52766402 53224671 54268292 56825356 57661023 57854706 58723899 63241122 64704502 65182026 68980611 70333172 70966228 71389838 71489964 72009849 76881364 77978082 78298532 79149603 81402438 85238034 85404566 87664164 91974148 93355942 94969511 96013132 96721716 97056753 105499758 105532804 106449342 107084757 115322046 115709412 117447798 124190899 126482244 128106849 129409004 130364052 137022431 137961222 140033913 142779676 144019698 155956164 158299206 162804876 168022981 170476068 170809132 184682407 186711884 189939022 194113506 210999516 212898684 214169514 226465757 230640241 230644092 234895596 248381798 249864433 256213698 274044862 275922444 280067826 284908533 288039396 298915981 312042679 316598412 326745797 336045962 369364814 372572697 379878044 388227012 408055811 411067293 420579263 428339028 452931514 461280482 496763596 499728866 504068943 512427396 548089724 549988267 554047221 560135652 569817066 597831962 606813623 624085358 653491594 672091924 679397271 691920723 738729628 744101773 745145394 749593299 816111622 822134586 841158526 896747943 905863028 922560964 936128037 980237391 999457732 1008137886 1099976534 1108094442 1139634132 1195663924 1213627246 1224167433 1248170716 1261737789 1306983188 1358794542 1383841446 1488203546 1490290788 1499186598 1614481687 1632223244 1644269172 1649964801 1682317052 1793495886 1820440869 1872256074 1960474782 2016275772 2184298753 2199953068 2216188884 2232305319 2427254492 2448334866 2523475578 2717589084 2767682892 2856390677 2944054841 2976407092 2998373196 3228963374 3299929602 3586991772 3640881738 3744512148 3849917869 3920949564 4247695361 4368597506 4464610638 4843445061 4896669732 5046951156 5208712411 5304725543 5712781354 5888109682 6457926748 6552896259 6599859204 7149847471 7281763476 7699835738 8495390722 8569172031 8737195012 8832164523 8929221276 9673323049 9686890122 10417424822 10609451086 11425562708 11549753607 11776219364 12649730141 12743086083 13105792518 14299694942 15399671476 15626137233 15914176629 16990781444 17138344062 17664329046 19346646098 19373780244 20834849644 21218902172 21449542413 23099507214 25299460282 25486172166 26211585036 28599389884 29019969147 31252274466 31828353258 34276688124 35328658092 37133078801 37949190423 38693292196 42899084826 46199014428 50048932297 50598920564 50972344332 58039938294 62504548932 63656706516 67713261343 74266157602 75898380846 85798169652 88548110987 100097864594 111399236403 116079876588 135426522686 148532315204 150146796891 151796761692 164446491833 177096221974 200195729188 203139784029 222798472806 265644332961 270853045372 300293593782 328892983666 354192443948 406279568058 445596945612 493339475499 531288665922 600587187564 657785967332 812559136116 986678950998 1062577331844 1151125442831 1973357901996 2302250885662 3453376328493 4604501771324 6906752656986 13813505313972
• Sum of all divisors σ(n): 45421864943616
• Sum of proper divisors (its aliquot sum) s(n): 31608359629644
• 13813505313972 is an abundant number, because the sum of its proper divisors (31608359629644) is greater than itself. Its abundance is 17794854315672

Bases of 13813505313972

• Binary: 11001001000000110101000100111100110010110100₂
• Hexadecimal: 0xC903513CCB4
• Base-36: 4W9U4ER3O

Squares and roots of 13813505313972

• 13813505313972 squared (13813505313972²) is 190812929059132682298416784
• 13813505313972 cubed (13813505313972³) is 2635795409532891565146598264466434506048
• The square root of 13813505313972 is 3716652.4338404311
• The cube root of 13813505313972 is 23993.9251487971

Scales and comparisons

• 13,813,505,313,972 seconds is equal to 439,226 years, 38 weeks, 3 days, 17 hours, 26 minutes, 12 seconds.
• To count from 1 to 13,813,505,313,972 would take you about one million, ninety-eight thousand and 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 13813505313972 cubic inches would be around 1999.5 feet tall.

Recreational maths with 13813505313972

• 13813505313972 backwards is 27931350531831
• 13813505313972 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13813505313972's digits is 51
• More coming soon!