1728148746400328

Names of 1728148746400328

• Cardinal: 1728148746400328 can be written as One quadrillion, seven hundred twenty-eight trillion, one hundred forty-eight billion, seven hundred forty-six million, four hundred thousand, three hundred twenty-eight.

Scientific notation

• Scientific notation: 1.728148746400328 × 10¹⁵

Factors of 1728148746400328

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 1232

Divisors of 1728148746400328

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 7 8 14 17 28 34 49 56 68 98 113 119 136 196 226 238 289 392 452 476 578 791 833 904 952 1093 1156 1582 1666 1921 2023 2186 2312 3164 3332 3842 4046 4372 5537 6328 6664 7651 7684 8092 8744 11074 12769 13447 14161 15302 15368 16184 18581 22148 25538 26894 28322 30604 32657 37162 44296 51076 53557 53788 56644 61208 65314 74324 89383 94129 102152 107114 107576 113288 123509 130067 130628 148648 178766 188258 214228 217073 228599 247018 260134 261256 315877 357532 376516 428456 434146 457198 494036 520268 625681 631754 715064 753032 864563 868292 910469 914396 988072 1040536 1194649 1251362 1263508 1519511 1600193 1729126 1736584 1820938 1828792 2099653 2211139 2389298 2502724 2527016 3039022 3200386 3458252 3641876 3690241 4199306 4422278 4778596 5005448 6051941 6078044 6400772 6916504 7283752 7380482 8362543 8398612 8844556 9557192 10636577 12103882 12156088 12801544 13956517 14697571 14760964 15477973 16725086 16797224 17689112 20309033 21273154 24207764 25831687 27913034 29395142 29521928 30955946 33450172 35694101 40618066 42546308 48415528 51663374 55826068 58537801 58790284 61911892 66900344 71388202 81236132 85092616 97695619 102882997 103326748 111652136 117075602 117580568 123823784 134995337 142163231 142776404 162472264 180821809 195391238 205765994 206653496 234151204 237260789 249858707 269990674 284326462 285552808 345253561 361643618 390782476 411531988 468302408 474521578 499717414 539981348 568652924 683869333 690507122 723287236 781564952 823063976 944967359 949043156 995142617 999434828 1079962696 1137305848 1367738666 1381014244 1446574472 1660825523 1749010949 1889934718 1898086312 1990285234 1998869656 2294920729 2416774927 2735477332 2762028488 3321651046 3498021898 3779869436 3980570468 4033433413 4589841458 4833549854 5470954664 6614771513 6643302092 6996043796 7559738872 7961140936 8066866826 9179682916 9667099708 11625778661 13229543026 13286604184 13992087592 15254473081 16064445103 16133733652 16917424489 18359365832 19334199416 23251557322 26459086052 28234033891 30508946162 32128890206 32267467304 33834848978 39013652393 46503114644 52918172104 56468067782 61017892324 64257780412 67669697956 78027304786 93006229288 106781311567 112451115721 112936135564 122035784648 128515560824 135339395912 156054609572 197638237237 213562623134 224902231442 225872271128 259326042377 273095566751 312109219144 395276474474 427125246268 449804462884 518652084754 546191133502 747469180969 790552948948 854250492536 899608925768 1037304169508 1092382267004 1494938361938 1581105897896 1815282296639 1911668967257 2074608339016 2184764534008 2989876723876 3630564593278 3823337934514 4408542720409 5979753447752 7261129186556 7646675869028 8817085440818 12706976076473 14522258373112 15293351738056 17634170881636 25413952152946 30859799042863 35268341763272 50827904305892 61719598085726 101655808611784 123439196171452 216018593300041 246878392342904 432037186600082 864074373200164 1728148746400328
• Sum of all divisors σ(n): 4043517659256465
• Sum of proper divisors (its aliquot sum) s(n): 2315368912856137
• 1728148746400328 is an abundant number, because the sum of its proper divisors (2315368912856137) is greater than itself. Its abundance is 587220166455809

Bases of 1728148746400328

• Binary: 110001000111011110111111100001001011111001001001000₂
• Hexadecimal: 0x623BDFC25F248
• Base-36: H0KSKO4MDK

Squares and roots of 1728148746400328

• 1728148746400328 squared (1728148746400328²) is 2986498089685025178537638507584
• 1728148746400328 cubed (1728148746400328³) is 5161112929816150604515672860356216838128087552
• The square root of 1728148746400328 is 41571008.4842829859
• The cube root of 1728148746400328 is 120003.4431049189

Scales and comparisons

• 1,728,148,746,400,328 seconds is equal to 54,949,784 years, 32 weeks, 1 day, 20 hours, 32 minutes, 8 seconds.
• To count from 1 to 1,728,148,746,400,328 would take you about one hundred sixty-four million, eight hundred forty-nine thousand, three hundred fifty-three 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 1728148746400328 cubic inches would be around 10000.3 feet tall.

Recreational maths with 1728148746400328

• 1728148746400328 backwards is 8230046478418271
• The number of decimal digits it has is: 16
• The sum of 1728148746400328's digits is 65
• More coming soon!