32768969064000

Names of 32768969064000

• Cardinal: 32768969064000 can be written as Thirty-two trillion, seven hundred sixty-eight billion, nine hundred sixty-nine million, sixty-four thousand.

Scientific notation

• Scientific notation: 3.2768969064 × 10¹³

Factors of 32768969064000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1387

Divisors of 32768969064000

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 43 48 50 52 60 64 65 75 78 80 86 96 100 104 120 125 129 130 150 156 160 172 192 195 200 208 215 240 250 258 260 300 312 320 325 344 375 390 400 416 430 480 500 516 520 559 600 624 645 650 688 750 780 800 832 860 960 975 1000 1032 1040 1075 1118 1200 1248 1290 1300 1321 1376 1500 1560 1600 1625 1677 1720 1849 1950 2000 2064 2080 2150 2236 2400 2496 2580 2600 2642 2752 2795 3000 3120 3225 3250 3354 3440 3698 3900 3963 4000 4128 4160 4300 4472 4800 4875 5160 5200 5284 5375 5547 5590 6000 6240 6450 6500 6605 6708 6880 7396 7800 7926 8000 8256 8385 8600 8944 9245 9750 10320 10400 10568 10750 11094 11180 12000 12480 12900 13000 13210 13416 13760 13975 14792 15600 15852 16125 16770 17173 17200 17888 18490 19500 19815 20640 20800 21136 21500 22188 22360 24000 24037 25800 26000 26420 26832 27735 27950 29584 31200 31704 32250 33025 33540 34346 34400 35776 36980 39000 39630 41280 41925 42272 43000 44376 44720 46225 48074 51519 51600 52000 52840 53664 55470 55900 56803 59168 62400 63408 64500 66050 67080 68692 68800 69875 72111 73960 78000 79260 79507 83850 84544 85865 86000 88752 89440 92450 96148 99075 103038 103200 104000 105680 107328 110940 111800 113606 118336 120185 126816 129000 132100 134160 137384 138675 139750 144222 147920 156000 158520 159014 165125 167700 170409 171730 172000 177504 178880 184900 192296 198150 206076 206400 209625 211360 221880 223600 227212 231125 238521 240370 253632 257595 258000 264200 268320 274768 277350 279500 284015 288444 295840 312000 317040 318028 330250 335400 340818 343460 344000 355008 360555 369800 384592 396300 397535 412152 419250 422720 429325 443760 447200 454424 462250 477042 480740 495375 515190 516000 528400 536640 549536 554700 559000 568030 576888 591680 600925 634080 636056 660500 670800 681636 686920 693375 721110 738439 739600 769184 792600 795070 824304 838500 852045 858650 887520 894400 908848 924500 954084 961480 990750 1030380 1032000 1033591 1056800 1099072 1109400 1118000 1136060 1153776 1192605 1201850 1268160 1272112 1287975 1321000 1341600 1363272 1373840 1386750 1420075 1442220 1476878 1479200 1538368 1585200 1590140 1648608 1677000 1704090 1717300 1775040 1802775 1817696 1849000 1908168 1922960 1981500 1987675 2060760 2067182 2113600 2146625 2215317 2218800 2236000 2272120 2307552 2385210 2403700 2442529 2544224 2575950 2642000 2683200 2726544 2747680 2773500 2840150 2884440 2953756 2958400 3004625 3100773 3170400 3180280 3297216 3354000 3408180 3434600 3605550 3635392 3692195 3698000 3816336 3845920 3963000 3975350 4121520 4134364 4260225 4293250 4430634 4437600 4472000 4544240 4615104 4770420 4807400 4885058 5088448 5151900 5167955 5284000 5453088 5495360 5547000 5680300 5768880 5907512 5963025 6009250 6201546 6340800 6360560 6439875 6708000 6816360 6869200 7100375 7211100 7327587 7384390 7396000 7632672 7691840 7926000 7950700 8243040 8268728 8520450 8586500 8861268 8875200 9013875 9088480 9540840 9614800 9770116 9938375 10303800 10335910 10568000 10906176 11076585 11094000 11360600 11537760 11815024 11926050 12018500 12212645 12403092 12721120 12879750 13416000 13632720 13738400 14200750 14422200 14655174 14768780 14792000 15265344 15503865 15852000 15901400 16486080 16537456 17040900 17173000 17722536 18027750 18176960 18460975 19081680 19229600 19540232 19876750 20607600 20671820 21301125 22153170 22188000 22721200 23075520 23630048 23852100 24037000 24425290 24806184 25442240 25759500 25839775 27265440 27476800 28401500 28844400 29310348 29537560 29815125 31007730 31704000 31752877 31802800 33074912 34081800 34346000 35445072 36055500 36637935 36921950 38163360 38459200 39080464 39753500 41215200 41343640 42602250 44306340 44376000 45442400 47260096 47704200 48074000 48850580 49612368 51519000 51679550 54530880 55382925 56803000 57688800 58620696 59075120 59630250 61063225 62015460 63505754 63605600 66149824 68163600 68692000 70890144 72111000 73275870 73843900 76326720 77519325 78160928 79507000 82430400 82687280 85204500 88612680 90884800 92304875 95258631 95408400 96148000 97701160 99224736 103038000 103359100 105028747 110765850 113606000 115377600 117241392 118150240 119260500 122126450 124030920 127011508 127211200 129198875 136327200 137384000 141780288 144222000 146551740 147687800 155038650 156321856 158764385 159014000 165374560 170409000 177225360 183189675 184609750 190517262 190816800 192296000 195402320 198449472 206076000 206718200 210057494 221531700 227212000 234482784 236300480 238521000 244252900 248061840 254023016 258397750 272654400 276914625 288444000 293103480 295375600 305316125 310077300 315086241 317528770 318028000 330749120 340818000 354450720 366379350 369219500 381034524 381633600 387596625 390804640 412152000 413436400 420114988 443063400 454424000 468965568 476293155 477042000 488505800 496123680 508046032 516795500 525143735 553829250 576888000 586206960 590751200 610632250 620154600 630172482 635057540 636056000 681636000 708901440 732758700 738439000 762069048 775193250 781609280 793821925 826872800 840229976 886126800 915948375 952586310 954084000 977011600 992247360 1016092064 1033591000 1050287470 1107658500 1172413920 1181502400 1221264500 1240309200 1260344964 1270115080 1363272000 1365373711 1465517400 1476878000 1524138096 1550386500 1575431205 1587643850 1653745600 1680459952 1772253600 1831896750 1905172620 1908168000 1954023200 2032184128 2067182000 2100574940 2215317000 2344827840 2381465775 2442529000 2480618400 2520689928 2540230160 2625718675 2730747422 2931034800 2953756000 3048276192 3100773000 3150862410 3175287700 3360919904 3544507200 3663793500 3810345240 3908046400 3969109625 4096121133 4134364000 4201149880 4430634000 4762931550 4885058000 4961236800 5041379856 5080460320 5251437350 5461494844 5862069600 5907512000 6096552384 6201546000 6301724820 6350575400 6721839808 6826868555 7327587000 7620690480 7877156025 7938219250 8192242266 8268728000 8402299760 8861268000 9525863100 9770116000 10082759712 10160920640 10502874700 10922989688 11724139200 11907328875 12403092000 12603449640 12701150800 13128593375 13653737110 14655174000 15241380960 15754312050 15876438500 16384484532 16804599520 17722536000 19051726200 19540232000 20165519424 20480605665 21005749400 21845979376 23814657750 24806184000 25206899280 25402301600 26257186750 27307474220 29310348000 30482761920 31508624100 31752877000 32768969064 33609199040 34134342775 38103452400 39385780125 40961211330 42011498800 43691958752 47629315500 50413798560 50804603200 52514373500 54614948440 58620696000 63017248200 63505754000 65537938128 68268685550 76206904800 78771560250 81922422660 84022997600 87383917504 95258631000 100827597120 102403028325 105028747000 109229896880 126034496400 127011508000 131075876256 136537371100 152413809600 157543120500 163844845320 168045995200 170671713875 190517262000 204806056650 210057494000 218459793760 252068992800 254023016000 262151752512 273074742200 315086241000 327689690640 341343427750 381034524000 409612113300 420114988000 436919587520 504137985600 512015141625 546149484400 630172482000 655379381280 682686855500 762069048000 819224226600 840229976000 1024030283250 1092298968800 1260344964000 1310758762560 1365373711000 1638448453200 2048060566500 2184597937600 2520689928000 2730747422000 3276896906400 4096121133000 5461494844000 6553793812800 8192242266000 10922989688000 16384484532000 32768969064000
• Sum of all divisors σ(n): 119391169497600
• Sum of proper divisors (its aliquot sum) s(n): 86622200433600
• 32768969064000 is an abundant number, because the sum of its proper divisors (86622200433600) is greater than itself. Its abundance is 53853231369600

Bases of 32768969064000

• Binary: 111011100110110011110110000101011111001000000₂
• Hexadecimal: 0x1DCD9EC2BE40
• Base-36: BM5UU3ZUO

Squares and roots of 32768969064000

• 32768969064000 squared (32768969064000²) is 1073805333517389036096000000
• 32768969064000 cubed (32768969064000³) is 35187493754789523629882603334144000000000
• The square root of 32768969064000 is 5724418.6660306389
• The cube root of 32768969064000 is 32000.3154474113

Scales and comparisons

• 32,768,969,064,000 seconds is equal to 1,041,951 years, 44 weeks, 3 days, 6 hours, 40 minutes.
• To count from 1 to 32,768,969,064,000 would take you about two million, six hundred four thousand, eight hundred seventy-nine 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 32768969064000 cubic inches would be around 2666.7 feet tall.

Recreational maths with 32768969064000

• 32768969064000 backwards is 00046096986723
• 32768969064000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 32768969064000's digits is 60
• More coming soon!