13826763738144

Names of 13826763738144

• Cardinal: 13826763738144 can be written as Thirteen trillion, eight hundred twenty-six billion, seven hundred sixty-three million, seven hundred thirty-eight thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 1.3826763738144 × 10¹³

Factors of 13826763738144

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1284

Divisors of 13826763738144

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 67 72 84 96 108 112 126 134 144 168 189 191 201 216 224 227 252 268 288 336 378 382 402 432 454 469 504 536 573 603 672 681 756 764 787 804 864 908 938 1008 1072 1146 1206 1337 1362 1407 1512 1528 1574 1589 1608 1719 1809 1816 1876 2016 2043 2144 2292 2361 2412 2674 2724 2814 3024 3056 3148 3178 3216 3438 3618 3632 3752 4011 4086 4221 4584 4722 4767 4824 5157 5348 5448 5509 5628 6048 6112 6129 6296 6356 6432 6876 7083 7236 7264 7504 8022 8172 8442 9168 9444 9534 9648 10314 10696 10896 11018 11256 12033 12258 12592 12663 12712 12797 13752 14166 14301 14472 15008 15209 16044 16344 16527 16884 18336 18888 19068 19296 20628 21249 21392 21792 22036 22512 24066 24516 25184 25326 25424 25594 27504 28332 28602 28944 30418 32088 32688 33054 33768 36099 37776 38136 38391 41256 42498 42784 42903 43357 44072 45024 45627 48132 49032 49581 50652 50848 51188 52729 55008 56664 57204 57888 60836 64176 65376 66108 67536 72198 75552 76272 76782 82512 84996 85806 86714 88144 89579 91254 96264 98064 99162 101304 102376 105458 106463 113328 114408 115173 121672 128352 130071 132216 135072 136881 144396 148743 150317 152544 153564 158187 165024 169992 171612 173428 176288 178649 179158 182508 192528 196128 198324 202608 204752 210916 212926 226656 228816 230346 243344 260142 264432 268737 273762 288792 297486 300634 303499 307128 316374 319389 339984 343224 345519 346856 357298 358316 365016 369103 385056 390213 396648 405216 409504 410643 421832 425852 450951 457632 460692 474561 486688 520284 528864 535947 537474 547524 577584 594972 601268 606998 614256 632748 638778 679968 686448 691038 693712 714596 716632 730032 738206 780426 793296 806211 821286 843664 851704 901902 910497 921384 949122 958167 1040568 1052219 1071894 1074948 1095048 1107309 1155168 1170639 1189944 1202536 1213996 1228512 1250543 1265496 1277556 1352853 1372896 1382076 1387424 1423683 1429192 1433264 1460064 1476412 1560852 1586592 1607841 1612422 1642572 1687328 1703408 1803804 1820994 1842768 1898244 1916334 2081136 2104438 2143788 2149896 2190096 2214618 2341278 2379888 2405072 2418633 2427992 2501086 2530992 2555112 2705706 2731491 2764152 2847366 2858384 2866528 2874501 2904919 2952824 3121704 3156657 3215682 3224844 3285144 3321927 3406816 3607608 3641988 3685536 3751629 3796488 3832668 4058559 4162272 4208876 4287576 4299792 4380192 4429236 4682556 4759776 4810144 4823523 4837266 4855984 5002172 5061984 5110224 5411412 5462982 5528304 5694732 5716768 5749002 5809838 5905648 6243408 6313314 6431364 6449688 6570288 6643854 7215216 7283976 7503258 7592976 7665336 8117118 8194473 8417752 8575152 8599584 8714757 8858472 9365112 9469971 9647046 9674532 9711968 9965781 10004344 10071239 10220448 10822824 10925964 11056608 11254887 11389464 11498004 11619676 11811296 11969483 12486816 12626628 12862728 12899376 13140576 13287708 14430432 14567952 15006516 15185952 15330672 16234236 16388946 16835504 17150304 17429514 17716944 18730224 18939942 19294092 19349064 19931562 20008688 20142478 20334433 21645648 21851928 22509774 22778928 22996008 23239352 23938966 25253256 25725456 25798752 26144271 26575416 28409913 29135904 30013032 30213717 30661344 32468472 32777892 33671008 33764661 34121959 34859028 35433888 35908449 37460448 37879884 38588184 38698128 39863124 40017376 40284956 40668866 43291296 43703856 45019548 45557856 45992016 46478704 47877932 50506512 51450912 52288542 53150832 56819826 60026064 60427434 61003299 64936944 65555784 67529322 68243918 69718056 70498673 71816898 75759768 77176368 77396256 78432813 79726248 80569912 81337732 83786381 87407712 90039096 90641151 91984032 92957408 95755864 101013024 102365877 104577084 106301664 107725347 113639652 120052128 120854868 122006598 129873888 131111568 135058644 136487836 139436112 140997346 143633796 151519536 154352736 156865626 159452496 161139824 162675464 167572762 180078192 181282302 183009897 191511728 204731754 209154168 211496019 215450694 227279304 238853713 241709736 244013196 251359143 262223136 270117288 271923453 272975672 278872224 281994692 287267592 303039072 307097631 313731252 318904992 322279648 323176041 325350928 335145524 360156384 362564604 366019794 383023456 409463508 418308336 422992038 430901388 454558608 477707426 483419472 488026392 502718286 540234576 543846906 545951344 549029691 563989384 574535184 614195262 627462504 634488057 646352082 650701856 670291048 716561139 725129208 732039588 754077429 818927016 836616672 845984076 861802776 909117216 921292893 955414852 966838944 976052784 1005436572 1080469152 1087693812 1091902688 1098059382 1127978768 1149070368 1228390524 1254925008 1268976114 1292704164 1340582096 1433122278 1450258416 1464079176 1508154858 1637854032 1691968152 1723605552 1842585786 1903464171 1910829704 1952105568 2010873144 2149683417 2175387624 2196118764 2255957536 2262232287 2286171253 2456781048 2509850016 2537952228 2585408328 2681164192 2866244556 2900516832 2928158352 3016309716 3275708064 3383936304 3447211104 3685171572 3806928342 3821659408 4021746288 4299366834 4350775248 4392237528 4524464574 4572342506 4913562096 5075904456 5170816656 5732489112 5856316704 6032619432 6449050251 6767872608 6858513759 7370343144 7613856684 7643318816 8043492576 8598733668 8701550496 8784475056 9048929148 9144685012 9827124192 10151808912 10341633312 11464978224 12065238864 12898100502 13717027518 14740686288 15227713368 16003198771 17197467336 17568950112 18097858296 18289370024 20303617824 20575541277 22929956448 24130477728 25796201004 27434055036 29481372576 30455426736 32006397542 34394934672 36195716592 36578740048 41151082554 48009596313 51592402008 54868110072 60910853472 61726623831 64012795084 68789869344 72391433184 73157480096 82302165108 96019192626 103184804016 109736220144 123453247662 128025590168 144028788939 164604330216 192038385252 206369608032 219472440288 246906495324 256051180336 288057577878 329208660432 384076770504 432086366817 493812990648 512102360672 576115155756 658417320864 768153541008 864172733634 987625981296 1152230311512 1536307082016 1728345467268 1975251962592 2304460623024 3456690934536 4608921246048 6913381869072 13826763738144
• Sum of all divisors σ(n): 47289174589440
• Sum of proper divisors (its aliquot sum) s(n): 33462410851296
• 13826763738144 is an abundant number, because the sum of its proper divisors (33462410851296) is greater than itself. Its abundance is 19635647113152

Bases of 13826763738144

• Binary: 11001001001101001011010101110100110000100000₂
• Hexadecimal: 0xC934B574C20
• Base-36: 4WFXE4SO0

Squares and roots of 13826763738144

• 13826763738144 squared (13826763738144²) is 191179395470453840600564736
• 13826763738144 cubed (13826763738144³) is 2643392332771162446566465987092824489984
• The square root of 13826763738144 is 3718435.6573892735
• The cube root of 13826763738144 is 24001.5992789273

Scales and comparisons

• 13,826,763,738,144 seconds is equal to 439,648 years, 16 weeks, 3 days, 17 hours, 2 minutes, 24 seconds.
• To count from 1 to 13,826,763,738,144 would take you about one million, ninety-nine thousand, one hundred twenty 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 13826763738144 cubic inches would be around 2000.1 feet tall.

Recreational maths with 13826763738144

• 13826763738144 backwards is 44183736762831
• 13826763738144 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13826763738144's digits is 63
• More coming soon!