13707872731696224

Names of 13707872731696224

• Cardinal: 13707872731696224 can be written as Thirteen quadrillion, seven hundred seven trillion, eight hundred seventy-two billion, seven hundred thirty-one million, six hundred ninety-six thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.3707872731696224 × 10¹⁶

Factors of 13707872731696224

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 2048

Divisors of 13707872731696224

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 12 16 23 24 32 41 46 48 69 82 92 96 123 138 164 184 246 276 328 368 492 529 552 656 736 943 984 1058 1104 1312 1587 1681 1886 1968 1979 2116 2208 2829 3174 3362 3772 3936 3958 4232 5043 5658 5937 6348 6724 7544 7916 8464 10086 11316 11874 12696 13448 15088 15832 16928 20172 21689 22632 23748 25392 26896 30176 31664 38663 40344 43378 45264 45517 47496 50784 53792 63328 65067 68921 77326 80688 81139 86756 90528 91034 94992 115989 130134 136551 137842 154652 161376 162278 173512 182068 189984 206763 231978 243417 260268 273102 275684 309304 324556 347024 364136 413526 463956 486834 520536 546204 551368 618608 649112 694048 728272 827052 889249 927912 973668 1041072 1046891 1092408 1102736 1237216 1298224 1456544 1585183 1654104 1778498 1855824 1866197 1947336 2082144 2093782 2184816 2205472 2596448 2667747 3140673 3170366 3308208 3326699 3556996 3711648 3732394 3894672 3916441 4187564 4369632 4755549 5335494 5598591 6281346 6340732 6616416 6653398 7113992 7464788 7789344 7832882 8375128 9511098 9980097 10670988 11197182 11749323 12562692 12681464 13306796 14227984 14929576 15665764 16750256 19022196 19960194 21341976 22394364 23498646 25125384 25362928 26613592 28455968 29859152 31331528 33500512 36459209 38044392 39920388 42683952 42922531 44788728 46997292 50250768 50725856 53227184 59718304 62663056 72918418 76088784 76514077 79840776 85367904 85845062 89577456 90078143 93994584 100501536 106454368 109377627 125326112 128767593 136394659 145836836 152177568 153028154 159681552 160574081 171690124 179154912 180156286 187989168 218755254 229542231 257535186 270234429 272789318 291673672 306056308 319363104 321148162 343380248 360312572 375978336 409183977 437510508 459084462 481722243 515070372 540468858 545578636 583347344 612112616 642296324 686760496 720625144 818367954 875021016 918168924 963444486 1030140744 1080937716 1091157272 1166694688 1224225232 1284592648 1373520992 1441250288 1636735908 1750042032 1759823771 1836337848 1926888972 2060281488 2071797289 2161875432 2182314544 2448450464 2569185296 2882500576 3137077157 3273471816 3500084064 3519647542 3672675696 3693203863 3853777944 4120562976 4143594578 4323750864 4364629088 5138370592 5279471313 6215391867 6274154314 6546943632 6583537321 7039295084 7345351392 7386407726 7707555888 8287189156 8647501728 9411231471 10558942626 11079611589 12430783734 12548308628 13093887264 13167074642 14078590168 14772815452 15415111776 16574378312 18822462942 19750611963 21117885252 22159223178 24861567468 25096617256 26334149284 28157180336 29545630904 33148756624 37644925884 39501223926 42235770504 44318446356 49723134936 50193234512 52668298568 56314360672 59091261808 66297513248 72152774611 75289851768 79002447852 84471541008 84943688849 88636892712 99446269872 100386469024 105336597136 118182523616 144305549222 150579703536 151421358383 158004895704 168943082016 169887377698 177273785424 198892539744 210673194272 216458323833 254831066547 269925030161 288611098444 301159407072 302842716766 316009791408 339774755396 354547570848 432916647666 454264075149 509662133094 539850060322 577222196888 605685433532 632019582816 679549510792 809775090483 865833295332 908528150298 1019324266188 1079700120644 1154444393776 1211370867064 1359099021584 1619550180966 1731666590664 1817056300596 2038648532376 2159400241288 2308888787552 2422741734128 2718198043168 3239100361932 3463333181328 3482691242809 3634112601192 4077297064752 4318800482576 4845483468256 6208275693703 6478200723864 6926666362656 6965382485618 7268225202384 8154594129504 8637600965152 10448073728427 12416551387406 12956401447728 13930764971236 14536450404768 18624827081109 20896147456854 24833102774812 25912802895456 27861529942472 37249654162218 41792294913708 49666205549624 55723059884944 74499308324436 83584589827416 99332411099248 111446119769888 142790340955169 148998616648872 167169179654832 198664822198496 285580681910338 297997233297744 334338359309664 428371022865507 571161363820676 595994466595488 856742045731014 1142322727641352 1713484091462028 2284645455282704 3426968182924056 4569290910565408 6853936365848112 13707872731696224
• Sum of all divisors σ(n): 38575543108428144
• Sum of proper divisors (its aliquot sum) s(n): 24867670376731920
• 13707872731696224 is an abundant number, because the sum of its proper divisors (24867670376731920) is greater than itself. Its abundance is 11159797645035696

Bases of 13707872731696224

• Binary: 110000101100110011110011010100110011001000110001100000₂
• Hexadecimal: 0x30B33CD4CC8C60
• Base-36: 3QZ19SPNZHC

Squares and roots of 13707872731696224

• 13707872731696224 squared (13707872731696224²) is 187905774828380898330020215858176
• 13707872731696224 cubed (13707872731696224³) is 2575788446898213231273482218199944548564298727424
• The square root of 13707872731696224 is 117080624.9201644123
• The cube root of 13707872731696224 is 239326.0765820437

Scales and comparisons

• 13,707,872,731,696,224 seconds is equal to 435,867,951 years, 32 weeks, 6 days, 15 hours, 10 minutes, 24 seconds.
• To count from 1 to 13,707,872,731,696,224 would take you about one billion, three hundred seven million, six hundred three thousand, eight hundred fifty-four 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 13707872731696224 cubic inches would be around 19943.8 feet tall.

Recreational maths with 13707872731696224

• 13707872731696224 backwards is 42269613727870731
• The number of decimal digits it has is: 17
• The sum of 13707872731696224's digits is 75
• More coming soon!