13506408760416

Names of 13506408760416

• Cardinal: 13506408760416 can be written as Thirteen trillion, five hundred six billion, four hundred eight million, seven hundred sixty thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 1.3506408760416 × 10¹³

Factors of 13506408760416

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 133

Divisors of 13506408760416

• Number of divisors d(n): 972
• Complete list of divisors:
  1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 43 44 48 52 61 66 78 86 88 96 104 121 122 129 132 143 156 169 172 176 183 208 242 244 258 264 286 312 338 344 352 363 366 416 429 473 484 488 507 516 528 559 572 624 671 676 688 726 732 793 858 946 968 976 1014 1032 1056 1118 1144 1248 1342 1352 1376 1419 1452 1464 1573 1586 1677 1716 1849 1859 1892 1936 1952 2013 2028 2064 2236 2288 2379 2623 2684 2704 2838 2904 2928 3146 3172 3354 3432 3698 3718 3721 3784 3872 4026 4056 4128 4472 4576 4719 4758 5203 5246 5368 5408 5547 5577 5676 5808 5856 6149 6292 6344 6708 6864 7267 7381 7396 7436 7442 7568 7869 8052 8112 8723 8944 9438 9516 10309 10406 10492 10736 11094 11154 11163 11352 11616 12298 12584 12688 13416 13728 14534 14762 14792 14872 14884 15136 15609 15738 16104 16224 17446 17888 18447 18876 19032 20339 20449 20618 20812 20984 21472 21801 22143 22188 22308 22326 22704 24037 24596 25168 25376 26169 26832 28853 29068 29524 29584 29744 29768 30927 31218 31476 32208 34099 34892 36894 37752 38064 40678 40898 40931 41236 41624 41968 43602 44286 44376 44616 44652 45408 48074 48373 49192 50336 52338 53664 57706 58136 59048 59168 59488 59536 61017 61347 61854 62436 62952 64416 67639 68198 69784 72111 73788 75504 76128 79937 81356 81796 81862 82472 83248 83936 86559 87204 88572 88752 89232 89304 95953 96148 96746 98384 102297 104676 112789 113399 115412 116272 118096 119072 122034 122694 122793 123708 124872 125904 135278 136396 139568 144222 145119 147576 151008 159874 160003 162712 163592 163724 164944 166496 173118 174408 177144 177504 178464 178608 191906 192296 193492 196768 202917 204594 209352 223729 225578 226798 230824 232544 236192 239811 244068 245388 245586 247416 249744 251808 264407 270556 272792 279136 287859 288444 290238 295152 312481 317383 319748 320006 325424 327184 327448 329888 338367 340197 346236 348816 354288 357216 375089 383812 384592 386984 405834 409188 418704 443287 447458 450241 451156 453596 461648 479622 480009 488136 490776 491172 494832 499488 528814 532103 541112 545584 575718 576888 580476 590304 624962 628849 634766 639496 640012 650848 654368 654896 671187 676734 680394 692472 697632 708576 750178 767624 769184 773968 793221 811668 818376 837408 879307 886574 894916 900482 902312 907192 923296 937443 952149 959244 960018 976272 981552 982344 989664 1057628 1064206 1082224 1091168 1125267 1151436 1153776 1160952 1240679 1247389 1249924 1257698 1269532 1278992 1280024 1309792 1329861 1342374 1350723 1353468 1360788 1384944 1466257 1500356 1535248 1547936 1586442 1596309 1623336 1636752 1758614 1760033 1773148 1789832 1800964 1804624 1814384 1874886 1886547 1904298 1918488 1920036 1952544 1963104 1964688 2080039 2115256 2128412 2164448 2250534 2302872 2307552 2321904 2481358 2494778 2499848 2515396 2539064 2557984 2560048 2637921 2659722 2684748 2701446 2706936 2721576 2769888 2908477 2932514 3000712 3070496 3172884 3192618 3246672 3273504 3437291 3517228 3520066 3546296 3579664 3601928 3609248 3628768 3722037 3742167 3749772 3773094 3808596 3836976 3840072 3929376 4125979 4160078 4230512 4256824 4398771 4501068 4605744 4643808 4876157 4962716 4989556 4999696 5030792 5078128 5120096 5275842 5280099 5319444 5369496 5402892 5413872 5443152 5816954 5853133 5865028 6001424 6240117 6345768 6385236 6493344 6874582 6880129 6917339 7034456 7040132 7092592 7159328 7203856 7444074 7484334 7499544 7546188 7617192 7673952 7680144 8251958 8320156 8461024 8513648 8725431 8797542 9002136 9211488 9752314 9925432 9979112 9999392 10061584 10156256 10311873 10551684 10560198 10638888 10738992 10805784 10827744 10886304 11633908 11706266 11730056 12002848 12377937 12480234 12691536 12770472 13647469 13749164 13760258 13834678 14068912 14080264 14185184 14407712 14628471 14888148 14968668 14999088 15092376 15234384 15360288 16128827 16503916 16640312 17027296 17450862 17559399 17595084 18004272 19061341 19360363 19504628 19850864 19958224 20123168 20623746 20640387 20752017 21103368 21120396 21277776 21477984 21611568 22880429 23267816 23412532 23460112 24755874 24960468 25383072 25540944 27040507 27294938 27498328 27520516 27669356 28137824 28160528 29256942 29776296 29937336 29998176 30184752 30468768 32257654 33007832 33280624 34901724 35118798 35190168 36008544 37810201 38122682 38720726 39009256 39701728 39916448 40942407 41247492 41280774 41504034 42206736 42240792 42555552 43223136 45760858 46535632 46825064 46920224 48386481 49511748 49920936 51081888 53637727 54081014 54589876 54996656 55041032 55338712 56321056 57184023 58081089 58513884 59552592 59874672 60369504 64515308 66015664 66561248 68641287 69803448 70237596 70380336 75620402 75681419 76090729 76245364 77441452 78018512 81121521 81884814 82494984 82561548 83008068 84413472 84481584 89441677 91521716 93071264 93650128 96772962 99023496 99841872 107275454 108162028 109179752 109993312 110082064 110677424 113430603 114368046 116162178 117027768 119105184 119749344 129030616 132031328 137282574 139606896 140475192 140760672 151240804 151362838 152181458 152490728 154882904 156037024 160913181 162243042 163769628 164989968 165123096 166016136 168963168 177417097 178883354 183043432 187300256 193545924 198046992 199683744 209674751 214550908 216324056 218359504 220164128 221354848 226861206 227044257 228272187 228736092 232324356 234055536 251684719 258061232 268325031 274565148 279213792 280950384 297445577 302481608 302725676 304362916 304981456 309765808 321826362 324486084 327539256 329979936 330246192 332032272 354834194 357766708 366086864 387091848 396093984 419349502 429101816 432648112 436719008 453722412 454088514 456544374 457472184 464648712 468111072 503369438 516122464 532251291 536650062 549130296 561900768 594891154 604963216 605451352 608725832 609962912 619531616 629024253 643652724 648972168 655078512 660492384 664064544 709668388 715533416 732173728 755054157 774183696 832495609 838699004 858203632 865296224 892336731 907444824 908177028 913088748 914944368 929297424 983858447 1006738876 1064502582 1073300124 1098260592 1162741801 1189782308 1209926432 1210902704 1217451664 1258048506 1287305448 1297944336 1310157024 1419336776 1431066832 1510108314 1548367392 1664991218 1677398008 1716407264 1784673462 1814889648 1816354056 1826177496 1829888736 1858594848 1967716894 2013477752 2129005164 2146600248 2196521184 2306422261 2325483602 2379564616 2421805408 2434903328 2497486827 2516097012 2574610896 2595888672 2838673552 2862133664 2951575341 3020216628 3271901347 3329982436 3354796016 3488225403 3569346924 3629779296 3632708112 3652354992 3935433788 4026955504 4258010328 4293200496 4612844522 4650967204 4759129232 4994973654 5032194024 5149221792 5677347104 5903150682 6040433256 6543802694 6659964872 6709592032 6919266783 6976450806 7138693848 7265416224 7304709984 7870867576 8053911008 8516020656 8586400992 9225689044 9301934408 9518258464 9815704041 9989947308 10064388048 10822442917 11806301364 12080866512 12790159811 13087605388 13319929744 13838533566 13952901612 14277387696 15741735152 17032041312 18451378088 18603868816 19631408082 19979894616 20128776096 21644885834 23612602728 24161733024 25580319622 26175210776 26639859488 27677067132 27905803224 28554775392 31483470304 32467328751 36902756176 37207737632 38370479433 39262816164 39959789232 43289771668 47225205456 51160639244 52350421552 55354134264 55811606448 64934657502 73805512352 76740958866 78525632328 79919578464 86579543336 94450410912 102321278488 104700843104 110708268528 111623212896 129869315004 140691757921 153481917732 157051264656 173159086672 204642556976 221416537056 259738630008 281383515842 306963835464 314102529312 346318173344 409285113952 422075273763 519477260016 562767031684 613927670928 844150547526 1038954520032 1125534063368 1227855341856 1688301095052 2251068126736 3376602190104 4502136253472 6753204380208 13506408760416
• Sum of all divisors σ(n): 43922821128732
• Sum of proper divisors (its aliquot sum) s(n): 30416412368316
• 13506408760416 is an abundant number, because the sum of its proper divisors (30416412368316) is greater than itself. Its abundance is 16910003607900

Bases of 13506408760416

• Binary: 11000100100010110100101100100100010001100000₂
• Hexadecimal: 0xC48B4B24460
• Base-36: 4SCRB1TUO

Squares and roots of 13506408760416

• 13506408760416 squared (13506408760416²) is 182423077603442069688493056
• 13506408760416 cubed (13506408760416³) is 2463880653445177776476224983747983671296
• The square root of 13506408760416 is 3675106.6325231979
• The cube root of 13506408760416 is 23814.7830623459

Scales and comparisons

• 13,506,408,760,416 seconds is equal to 429,462 years, 1 week, 11 hours, 13 minutes, 36 seconds.
• To count from 1 to 13,506,408,760,416 would take you about one million, seventy-three thousand, six hundred fifty-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 13506408760416 cubic inches would be around 1984.6 feet tall.

Recreational maths with 13506408760416

• 13506408760416 backwards is 61406780460531
• The number of decimal digits it has is: 14
• The sum of 13506408760416's digits is 51
• More coming soon!