42428747120802948

Names of 42428747120802948

• Cardinal: 42428747120802948 can be written as Forty-two quadrillion, four hundred twenty-eight trillion, seven hundred forty-seven billion, one hundred twenty million, eight hundred two thousand, nine hundred forty-eight.

Scientific notation

• Scientific notation: 4.2428747120802948 × 10¹⁶

Factors of 42428747120802948

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 11891010

Divisors of 42428747120802948

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 9 12 18 36 53 67 103 106 134 159 201 206 212 268 271 309 318 402 412 477 542 603 618 636 804 813 927 954 1084 1206 1236 1626 1854 1908 2412 2439 3252 3551 3708 4878 5459 6901 7102 9756 10653 10918 13802 14204 14363 16377 18157 20703 21306 21836 27604 27913 28726 31959 32754 36314 41406 42612 43089 49131 54471 55826 57452 62109 63918 65508 72628 82812 83739 86178 98262 108942 111652 124218 127836 129267 163413 167478 172356 196524 217884 248436 251217 258534 326826 334956 365753 502434 517068 653652 731506 962321 1004868 1097259 1463012 1479389 1870171 1924642 2194518 2886963 2958778 3291777 3740342 3849284 4389036 4438167 5610513 5773926 5917556 6583554 7480684 8660889 8876334 11221026 11547852 11890511 13167108 13314501 16831539 17321778 17752668 22442052 23781022 26629002 33663078 34643556 35671533 47562044 53258004 67326156 71343066 99119063 107014599 142686132 198238126 214029198 297357189 396476252 428058396 594714378 630197083 796664237 892071567 1189428756 1224722633 1260394166 1593328474 1784143134 1890591249 2389992711 2449445266 2520788332 3186656948 3222328481 3568286268 3674167899 3781182498 4779985422 4898890532 5671773747 6444656962 7169978133 7348335798 7562364996 9559970844 9666985443 11022503697 11343547494 12889313924 14339956266 14696671596 19333970886 22045007394 22687094988 28679912532 29000956329 38667941772 42223204561 44090014788 58001912658 64910299549 82056416411 84446409122 116003825316 126669613683 129820599098 164112832822 168892818244 170783409493 194730898647 215896008227 246169249233 253339227366 259641198196 328225665644 331899833543 341566818986 380008841049 389461797294 431792016454 492338498466 506678454732 512350228479 584192695941 647688024681 663799667086 683133637972 738507747699 760017682098 778923594588 863584032908 984676996932 995699500629 1024700456958 1168385391882 1295376049362 1327599334172 1477015495398 1520035364196 1537050685437 1943064074043 1991399001258 2049400913916 2336770783764 2590752098724 2954030990796 2987098501887 3074101370874 3886128148086 3982798002516 4348990069783 5974197003774 6148202741748 7772256296172 8697980139566 11442488436031 11948394007548 13046970209349 17395960279132 17590691177779 22237288847381 22884976872062 26093940418698 34327465308093 35181382355558 39140910628047 44474577694762 45769953744124 52187880837396 52772073533337 66711866542143 68654930616186 70362764711116 78281821256094 88949155389524 102982395924279 105544147066674 133423733084286 137309861232372 156563642512188 158316220600011 200135599626429 205964791848558 211088294133348 266847466168572 316632441200022 400271199252858 411929583697116 633264882400044 800542398505716 1178576308911193 2357152617822386 3535728926733579 4714305235644772 7071457853467158 10607186780200737 14142915706934316 21214373560401474 42428747120802948
• Sum of all divisors σ(n): 112394966892429312
• Sum of proper divisors (its aliquot sum) s(n): 69966219771626364
• 42428747120802948 is an abundant number, because the sum of its proper divisors (69966219771626364) is greater than itself. Its abundance is 27537472650823416

Bases of 42428747120802948

• Binary: 10010110101111001011100010000000011001100111110010000100₂
• Hexadecimal: 0x96BCB880667C84
• Base-36: BLRQHCDXSP0

Squares and roots of 42428747120802948

• 42428747120802948 squared (42428747120802948²) is 1800198582241044449685664245490704
• 42428747120802948 cubed (42428747120802948³) is 76380170413133263691605893919936885061360749795392
• The square root of 42428747120802948 is 205982395.1720217957
• The cube root of 42428747120802948 is 348781.4690381197

Scales and comparisons

• 42,428,747,120,802,948 seconds is equal to 1,349,102,917 years, 36 weeks, 6 days, 7 hours, 55 minutes, 48 seconds.
• To count from 1 to 42,428,747,120,802,948 would take you about four billion, forty-seven million, three hundred eight thousand, seven 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 42428747120802948 cubic inches would be around 29065.1 feet tall.

Recreational maths with 42428747120802948

• 42428747120802948 backwards is 84920802174782424
• The number of decimal digits it has is: 17
• The sum of 42428747120802948's digits is 72
• More coming soon!