9972516849845760

Names of 9972516849845760

• Cardinal: 9972516849845760 can be written as Nine quadrillion, nine hundred seventy-two trillion, five hundred sixteen billion, eight hundred forty-nine million, eight hundred forty-five thousand, seven hundred sixty.

Scientific notation

• Scientific notation: 9.97251684984576 × 10¹⁵

Factors of 9972516849845760

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 103228599

Divisors of 9972516849845760

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 64 70 72 80 84 90 96 105 112 120 126 128 140 144 160 168 180 192 210 224 240 252 256 280 288 315 320 336 360 384 420 448 480 504 512 560 576 599 630 640 672 720 768 840 896 960 1008 1120 1152 1198 1260 1280 1344 1440 1536 1680 1792 1797 1920 2016 2240 2304 2396 2520 2560 2688 2880 2995 3360 3584 3594 3840 4032 4193 4480 4608 4792 5040 5376 5391 5760 5990 6720 7188 7680 8064 8386 8960 8985 9584 10080 10752 10782 11520 11980 12579 13440 14376 16128 16772 17920 17970 19168 20160 20965 21564 23040 23960 25158 26880 26955 28752 32256 33544 35940 37737 38336 40320 41930 43128 47920 50316 53760 53910 57504 62895 67088 71880 75474 76672 80640 83860 86256 95840 100632 107820 115008 125790 134176 143760 150948 153344 161280 167720 172512 188685 191680 201264 215640 230016 251580 268352 287520 301896 306688 335440 345024 377370 383360 402528 431280 460032 503160 536704 575040 603792 670880 690048 754740 766720 805056 862560 920064 1006320 1073408 1150080 1207584 1341760 1380096 1509480 1533440 1610112 1725120 2012640 2146816 2300160 2415168 2683520 2760192 3018960 3220224 3450240 4025280 4600320 4830336 5367040 6037920 6440448 6900480 8050560 9660672 10734080 12075840 13800960 16101120 19321344 24151680 32202240 48303360 96606720 103227983 206455966 309683949 412911932 516139915 619367898 722595881 825823864 929051847 1032279830 1238735796 1445191762 1548419745 1651647728 1858103694 2064559660 2167787643 2477471592 2890383524 3096839490 3303295456 3612979405 3716207388 4129119320 4335575286 4645259235 4954943184 5780767048 6193678980 6503362929 6606590912 7225958810 7432414776 8258238640 8671150572 9290518470 9909886368 10838938215 11561534096 12387357960 13006725858 13213181824 14451917620 14864829552 16516477280 17342301144 18581036940 19819772736 21677876430 23123068192 24774715920 26013451716 26426363648 28903835240 29729659104 32516814645 33032954560 34684602288 37162073880 39639545472 43355752860 46246136384 49549431840 52026903432 52852727296 57807670480 59459318208 61833561817 65033629290 66065909120 69369204576 74324147760 79279090944 86711505720 92492272768 99098863680 104053806864 115615340960 118918636416 123667123634 130067258580 132131818240 138738409152 148648295520 158558181888 173423011440 184984545536 185500685451 198197727360 208107613728 231230681920 237837272832 247334247268 260134517160 264263636480 277476818304 297296591040 309167809085 346846022880 369969091072 371001370902 396395454720 416215227456 432834932719 462461363840 475674545664 494668494536 520269034320 554953636608 556502056353 594593182080 618335618170 693692045760 742002741804 792790909440 832430454912 865669865438 924922727680 927503427255 989336989072 1040538068640 1109907273216 1113004112706 1189186364160 1236671236340 1298504798157 1387384091520 1484005483608 1664860909824 1731339730876 1849845455360 1855006854510 1978673978144 2081076137280 2164174663595 2226008225412 2378372728320 2473342472680 2597009596314 2774768183040 2782510281765 2968010967216 3329721819648 3462679461752 3710013709020 3895514394471 3957347956288 4162152274560 4328349327190 4452016450824 4946684945360 5194019192628 5549536366080 5565020563530 5936021934432 6492523990785 6925358923504 7420027418040 7791028788942 7914695912576 8324304549120 8656698654380 8904032901648 9893369890720 10388038385256 11130041127060 11872043868864 12985047981570 13850717847008 14840054836080 15582057577884 15829391825152 16648609098240 17313397308760 17808065803296 19477571972355 19786739781440 20776076770512 22260082254120 23744087737728 25970095963140 27701435694016 29680109672160 31164115155768 31658783650304 34626794617520 35616131606592 38955143944710 39573479562880 41552153541024 44520164508240 47488175475456 51940191926280 55402871388032 59360219344320 62328230311536 69253589235040 71232263213184 77910287889420 79146959125760 83104307082048 89040329016480 94976350950912 103880383852560 110805742776064 118720438688640 124656460623072 138507178470080 142464526426368 155820575778840 158293918251520 166208614164096 178080658032960 207760767705120 221611485552128 237440877377280 249312921246144 277014356940160 284929052852736 311641151557680 332417228328192 356161316065920 415521535410240 474881754754560 498625842492288 554028713880320 623282303115360 664834456656384 712322632131840 831043070820480 997251684984576 1108057427760640 1246564606230720 1424645264263680 1662086141640960 1994503369969152 2493129212461440 3324172283281920 4986258424922880 9972516849845760
• Sum of all divisors σ(n): 39537474025420800
• Sum of proper divisors (its aliquot sum) s(n): 29564957175575040
• 9972516849845760 is an abundant number, because the sum of its proper divisors (29564957175575040) is greater than itself. Its abundance is 19592440325729280

Bases of 9972516849845760

• Binary: 100011011011011111001110000100010110100000011000000000₂
• Hexadecimal: 0x236DF3845A0600
• Base-36: 2Q6YMZTN5S0

Squares and roots of 9972516849845760

• 9972516849845760 squared (9972516849845760²) is 99451092320457600502135789977600
• 9972516849845760 cubed (9972516849845760³) is 991777693901329684238610246238227698313854976000
• The square root of 9972516849845760 is 99862489.7038210239
• The cube root of 9972516849845760 is 215245.9190757511

Scales and comparisons

• 9,972,516,849,845,760 seconds is equal to 317,095,188 years, 41 weeks, 6 days, 1 hour, 36 minutes.
• To count from 1 to 9,972,516,849,845,760 would take you about nine hundred fifty-one million, two hundred eighty-five thousand, five hundred sixty-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 9972516849845760 cubic inches would be around 17937.2 feet tall.

Recreational maths with 9972516849845760

• 9972516849845760 backwards is 0675489486152799
• 9972516849845760 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 9972516849845760's digits is 90
• More coming soon!