138048733436016

Names of 138048733436016

• Cardinal: 138048733436016 can be written as One hundred thirty-eight trillion, forty-eight billion, seven hundred thirty-three million, four hundred thirty-six thousand and sixteen.

Scientific notation

• Scientific notation: 1.38048733436016 × 10¹⁴

Factors of 138048733436016

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 488

Divisors of 138048733436016

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 97 104 156 169 194 208 291 312 338 373 388 507 582 624 676 746 776 1014 1119 1164 1261 1352 1492 1552 2028 2197 2238 2328 2522 2704 2984 3783 4056 4394 4476 4656 4849 5044 5968 6591 7566 8112 8788 8952 9409 9698 10088 13182 14547 15132 16393 17576 17904 18818 19396 20176 26364 28227 29094 30264 32786 35152 36181 37636 38792 49179 52728 56454 58188 60528 63037 65572 72362 75272 77584 98358 105456 108543 112908 116376 122317 126074 131144 139129 144724 150544 189111 196716 213109 217086 225816 232752 244634 252148 262288 278258 289448 366951 378222 393432 417387 426218 434172 451632 470353 489268 504296 556516 578896 639327 733902 756444 786864 819481 834774 852436 868344 940706 978536 1008592 1113032 1278654 1411059 1467804 1512888 1590121 1638962 1669548 1704872 1736688 1808677 1881412 1957072 2226064 2458443 2557308 2822118 2935608 3025776 3180242 3277924 3339096 3409744 3509557 3617354 3762824 4770363 4916886 5114616 5426031 5644236 5871216 6114589 6360484 6555848 6678192 7019114 7234708 7525648 9540726 9833772 10229232 10528671 10852062 11288472 12229178 12720968 13111696 13495513 14038228 14469416 18343767 19081452 19667544 20671573 21057342 21704124 22576944 23512801 24458356 25441936 26991026 28076456 28938832 36687534 38162904 39335088 40486539 41343146 42114684 43408248 45624241 47025602 48916712 53982052 56152912 62014719 70538403 73375068 76325808 79489657 80973078 82686292 84229368 86816496 91248482 94051204 97833424 107964104 124029438 136872723 141076806 146750136 158979314 161946156 165372584 168458736 175441669 182496964 188102408 215928208 238468971 248058876 273745446 282153612 293500272 305666413 317958628 323892312 330745168 350883338 364993928 376204816 476937942 496117752 526325007 547490892 564307224 593115133 611332826 635917256 647784624 701766676 729987856 916999239 953875884 992235504 1052650014 1094981784 1128614448 1186230266 1222665652 1271834512 1309064761 1403533352 1779345399 1833998478 1907751768 2105300028 2189963568 2280741697 2372460532 2445331304 2618129522 2807066704 3558690798 3667996956 3815503536 3927194283 4210600056 4561483394 4744921064 4890662608 5236259044 6842225091 7117381596 7335993912 7710496729 7854388566 8421200112 9122966788 9489842128 10472518088 13684450182 14234763192 14671987824 15420993458 15708777132 17017841893 18245933576 20945036176 23131490187 27368900364 28469526384 29649642061 30841986916 31417554264 34035683786 36491867152 46262980374 51053525679 54737800728 59299284122 61683973832 62835108528 68071367572 88948926183 92525960748 102107051358 109475601456 118598568244 123367947664 136142735144 177897852366 185051921496 204214102716 221231944609 237197136488 272285470288 355795704732 370103842992 408428205432 442463889218 474394272976 663695833827 711591409464 816856410864 884927778436 1327391667654 1423182818928 1769855556872 2654783335308 2876015279917 3539711113744 5309566670616 5752030559834 8628045839751 10619133341232 11504061119668 17256091679502 23008122239336 34512183359004 46016244478672 69024366718008 138048733436016
• Sum of all divisors σ(n): 391404381797520
• Sum of proper divisors (its aliquot sum) s(n): 253355648361504
• 138048733436016 is an abundant number, because the sum of its proper divisors (253355648361504) is greater than itself. Its abundance is 115306914925488

Bases of 138048733436016

• Binary: 11111011000110111111001101101111101100001110000₂
• Hexadecimal: 0x7D8DF9B7D870
• Base-36: 1CXMPNKPDC

Squares and roots of 138048733436016

• 138048733436016 squared (138048733436016²) is 19057452803288201925565952256
• 138048733436016 cubed (138048733436016³) is 2630857222010588851151048667656855886852096
• The square root of 138048733436016 is 11749414.1741627271
• The cube root of 138048733436016 is 51682.5748343929

Scales and comparisons

• 138,048,733,436,016 seconds is equal to 4,389,522 years, 36 weeks, 6 days, 14 hours, 53 minutes, 36 seconds.
• To count from 1 to 138,048,733,436,016 would take you about ten million, nine hundred seventy-three thousand, eight hundred 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 138048733436016 cubic inches would be around 4306.9 feet tall.

Recreational maths with 138048733436016

• 138048733436016 backwards is 610634337840831
• The number of decimal digits it has is: 15
• The sum of 138048733436016's digits is 57
• More coming soon!