1328125365504000
1,328,125,365,504,000 is an even composite number composed of five prime numbers multiplied together.
1328125365504000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 1328125365504000:
211 × 33 × 53 × 72 × 3921383
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 3921383)See below for interesting mathematical facts about the number 1328125365504000 from the Numbermatics database.
Names of 1328125365504000
- Cardinal: 1328125365504000 can be written as One quadrillion, three hundred twenty-eight trillion, one hundred twenty-five billion, three hundred sixty-five million, five hundred four thousand.
Scientific notation
- Scientific notation: 1.328125365504 × 1015
Factors of 1328125365504000
Divisors of 1328125365504000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 84 90 96 98 100 105 108 112 120 125 126 128 135 140 144 147 150 160 168 175 180 189 192 196 200 210 216 224 225 240 245 250 252 256 270 280 288 294 300 315 320 336 350 360 375 378 384 392 400 420 432 441 448 450 480 490 500 504 512 525 540 560 576 588 600 630 640 672 675 700 720 735 750 756 768 784 800 840 864 875 882 896 900 945 960 980 1000 1008 1024 1050 1080 1120 1125 1152 1176 1200 1225 1260 1280 1323 1344 1350 1400 1440 1470 1500 1512 1536 1568 1575 1600 1680 1728 1750 1764 1792 1800 1890 1920 1960 2000 2016 2048 2100 2160 2205 2240 2250 2304 2352 2400 2450 2520 2560 2625 2646 2688 2700 2800 2880 2940 3000 3024 3072 3136 3150 3200 3360 3375 3456 3500 3528 3584 3600 3675 3780 3840 3920 4000 4032 4200 4320 4410 4480 4500 4608 4704 4725 4800 4900 5040 5120 5250 5292 5376 5400 5600 5760 5880 6000 6048 6125 6144 6272 6300 6400 6615 6720 6750 6912 7000 7056 7168 7200 7350 7560 7680 7840 7875 8000 8064 8400 8640 8820 8960 9000 9216 9408 9450 9600 9800 10080 10240 10500 10584 10752 10800 11025 11200 11520 11760 12000 12096 12250 12544 12600 12800 13230 13440 13500 13824 14000 14112 14336 14400 14700 15120 15360 15680 15750 16000 16128 16800 17280 17640 17920 18000 18375 18432 18816 18900 19200 19600 20160 21000 21168 21504 21600 22050 22400 23040 23520 23625 24000 24192 24500 25088 25200 25600 26460 26880 27000 27648 28000 28224 28800 29400 30240 30720 31360 31500 32000 32256 33075 33600 34560 35280 35840 36000 36750 37632 37800 38400 39200 40320 42000 42336 43008 43200 44100 44800 46080 47040 47250 48000 48384 49000 50176 50400 51200 52920 53760 54000 55125 55296 56000 56448 57600 58800 60480 62720 63000 64000 64512 66150 67200 69120 70560 71680 72000 73500 75264 75600 76800 78400 80640 84000 84672 86400 88200 89600 92160 94080 94500 96000 96768 98000 100352 100800 105840 107520 108000 110250 112000 112896 115200 117600 120960 125440 126000 128000 129024 132300 134400 138240 141120 144000 147000 150528 151200 153600 156800 161280 165375 168000 169344 172800 176400 179200 188160 189000 192000 193536 196000 201600 211680 215040 216000 220500 224000 225792 230400 235200 241920 250880 252000 256000 264600 268800 276480 282240 288000 294000 301056 302400 313600 322560 330750 336000 338688 345600 352800 358400 376320 378000 384000 387072 392000 403200 423360 432000 441000 448000 451584 460800 470400 483840 501760 504000 529200 537600 564480 576000 588000 604800 627200 645120 661500 672000 677376 691200 705600 752640 756000 768000 784000 806400 846720 864000 882000 896000 903168 940800 967680 1008000 1058400 1075200 1128960 1152000 1176000 1209600 1254400 1323000 1344000 1354752 1382400 1411200 1505280 1512000 1568000 1612800 1693440 1728000 1764000 1792000 1881600 1935360 2016000 2116800 2257920 2304000 2352000 2419200 2508800 2646000 2688000 2709504 2822400 3024000 3136000 3225600 3386880 3456000 3528000 3763200 3921383 4032000 4233600 4515840 4704000 4838400 5292000 5376000 5644800 6048000 6272000 6773760 6912000 7056000 7526400 7842766 8064000 8467200 9408000 9676800 10584000 11289600 11764149 12096000 12544000 13547520 14112000 15685532 16128000 16934400 18816000 19606915 21168000 22579200 23528298 24192000 27449681 28224000 31371064 33868800 35292447 37632000 39213830 42336000 47056596 48384000 54899362 56448000 58820745 62742128 67737600 70584894 78427660 82349043 84672000 94113192 98034575 105877341 109798724 112896000 117641490 125484256 137248405 141169788 156855320 164698086 169344000 176462235 188226384 192147767 196069150 211754682 219597448 235282980 247047129 250968512 274496810 282339576 294103725 313710640 329396172 338688000 352924470 376452768 384295534 392138300 411745215 423509364 439194896 470565960 490172875 494094258 501937024 529386705 548993620 564679152 576443301 588207450 627421280 658792344 686242025 705848940 741141387 752905536 768591068 784276600 823490430 847018728 878389792 882311175 941131920 960738835 980345750 988188516 1003874048 1058773410 1097987240 1129358304 1152886602 1176414900 1235235645 1254842560 1317584688 1372484050 1411697880 1470518625 1482282774 1505811072 1537182136 1568553200 1646980860 1694037456 1729329903 1756779584 1764622350 1882263840 1921477670 1960691500 1976377032 2007748096 2058726075 2117546820 2195974480 2258716608 2305773204 2352829800 2470471290 2509685120 2635169376 2646933525 2744968100 2823395760 2882216505 2941037250 2964565548 3011622144 3074364272 3137106400 3293961720 3388074912 3431210125 3458659806 3513559168 3529244700 3705706935 3764527680 3842955340 3921383000 3952754064 4015496192 4117452150 4235093640 4391948960 4411555875 4517433216 4611546408 4705659600 4803694175 4940942580 5019370240 5187989709 5270338752 5293867050 5489936200 5646791520 5764433010 5882074500 5929131096 6023244288 6148728544 6176178225 6274212800 6587923440 6776149824 6862420250 6917319612 7027118336 7058489400 7411413870 7529055360 7685910680 7842766000 7905508128 8030992384 8234904300 8470187280 8646649515 8783897920 8823111750 9034866432 9223092816 9411319200 9607388350 9881885160 10038740480 10293630375 10375979418 10540677504 10587734100 10979872400 11293583040 11528866020 11764149000 11858262192 12046488576 12297457088 12352356450 12548425600 13175846880 13234667625 13552299648 13724840500 13834639224 14054236672 14116978800 14411082525 14822827740 15058110720 15371821360 15685532000 15811016256 16469808600 16940374560 17293299030 17567795840 17646223500 18069732864 18446185632 18528534675 18822638400 19214776700 19763770320 20077480960 20587260750 20751958836 21081355008 21175468200 21959744800 22587166080 23057732040 23528298000 23716524384 24018470875 24092977152 24594914176 24704712900 25096851200 25939948545 26351693760 26469335250 27104599296 27449681000 27669278448 28108473344 28233957600 28822165050 29645655480 30116221440 30743642720 30880891125 31371064000 31622032512 32939617200 33880749120 34586598060 35135591680 35292447000 36139465728 36892371264 37057069350 37645276800 38429553400 39527540640 40154961920 41174521500 41503917672 42162710016 42350936400 43233247575 43919489600 45174332160 46115464080 47056596000 47433048768 48036941750 49189828352 49409425800 50193702400 51879897090 52703387520 52938670500 54209198592 54899362000 55338556896 56216946688 56467915200 57644330100 59291310960 60232442880 61487285440 61761782250 62742128000 63244065024 65879234400 67761498240 69173196120 70271183360 70584894000 72055412625 72278931456 73784742528 74114138700 75290553600 76859106800 79055081280 82349043000 83007835344 84325420032 84701872800 86466495150 87838979200 90348664320 92230928160 92642673375 94113192000 94866097536 96073883500 98379656704 98818851600 100387404800 103759794180 105406775040 105877341000 108418397184 109798724000 110677113792 112935830400 115288660200 118582621920 120464885760 122974570880 123523564500 125484256000 126488130048 129699742725 131758468800 135522996480 138346392240 140542366720 141169788000 144110825250 147569485056 148228277400 150581107200 153718213600 158110162560 164698086000 166015670688 168650840064 169403745600 172932990300 175677958400 180697328640 184461856320 185285346750 188226384000 189732195072 192147767000 196759313408 197637703200 200774809600 207519588360 210813550080 211754682000 216166237875 216836794368 219597448000 221354227584 225871660800 230577320400 237165243840 245949141760 247047129000 250968512000 252976260096 259399485450 263516937600 271045992960 276692784480 281084733440 282339576000 288221650500 295138970112 296456554800 301162214400 307436427200 316220325120 329396172000 332031341376 338807491200 345865980600 351355916800 361394657280 368923712640 370570693500 376452768000 379464390144 384295534000 393518626816 395275406400 415039176720 421627100160 423509364000 432332475750 439194896000 442708455168 451743321600 461154640800 474330487680 491898283520 494094258000 501937024000 505952520192 518798970900 527033875200 542091985920 553385568960 564679152000 576443301000 590277940224 592913109600 602324428800 614872854400 632440650240 648498713625 658792344000 664062682752 677614982400 691731961200 702711833600 737847425280 741141387000 752905536000 758928780288 768591068000 790550812800 830078353440 843254200320 847018728000 864664951500 878389792000 885416910336 903486643200 922309281600 948660975360 983796567040 988188516000 1003874048000 1037597941800 1054067750400 1084183971840 1106771137920 1129358304000 1152886602000 1180555880448 1185826219200 1229745708800 1264881300480 1296997427250 1317584688000 1328125365504 1355229964800 1383463922400 1405423667200 1475694850560 1482282774000 1505811072000 1517857560576 1537182136000 1581101625600 1660156706880 1694037456000 1729329903000 1756779584000 1770833820672 1806973286400 1844618563200 1897321950720 1967593134080 1976377032000 2075195883600 2108135500800 2213542275840 2258716608000 2305773204000 2371652438400 2459491417600 2529762600960 2593994854500 2635169376000 2656250731008 2710459929600 2766927844800 2951389701120 2964565548000 3011622144000 3074364272000 3162203251200 3320313413760 3388074912000 3458659806000 3513559168000 3541667641344 3689237126400 3794643901440 3952754064000 4150391767200 4216271001600 4427084551680 4517433216000 4611546408000 4743304876800 4918982835200 5187989709000 5270338752000 5312501462016 5420919859200 5533855689600 5902779402240 5929131096000 6148728544000 6324406502400 6640626827520 6776149824000 6917319612000 7027118336000 7378474252800 7589287802880 7905508128000 8300783534400 8854169103360 9034866432000 9223092816000 9486609753600 9837965670400 10375979418000 10540677504000 10625002924032 11067711379200 11858262192000 12297457088000 12648813004800 13281253655040 13552299648000 13834639224000 14756948505600 15811016256000 16601567068800 17708338206720 18446185632000 18973219507200 20751958836000 21081355008000 22135422758400 23716524384000 24594914176000 26562507310080 27104599296000 27669278448000 29513897011200 31622032512000 33203134137600 36892371264000 37946439014400 41503917672000 44270845516800 47433048768000 49189828352000 53125014620160 55338556896000 63244065024000 66406268275200 73784742528000 83007835344000 88541691033600 94866097536000 110677113792000 132812536550400 147569485056000 166015670688000 189732195072000 221354227584000 265625073100800 332031341376000 442708455168000 664062682752000 1328125365504000
- Sum of all divisors σ(n): 5711533441286400
- Sum of proper divisors (its aliquot sum) s(n): 4383408075782400
- 1328125365504000 is an abundant number, because the sum of its proper divisors (4383408075782400) is greater than itself. Its abundance is 3055282710278400
Bases of 1328125365504000
- Binary: 1001011011111101100010010001010000011001000000000002
- Hexadecimal: 0x4B7EC48A0C800
- Base-36: D2S4DBFUO0
Squares and roots of 1328125365504000
- 1328125365504000 squared (13281253655040002) is 1763916986495133593174016000000
- 1328125365504000 cubed (13281253655040003) is 2342702892407563535351548839475544064000000000
-
The
square root of 1328125365504000 is 36443454.3574562921 -
The
cube root of 1328125365504000 is 109920.7518874599
Scales and comparisons
How big is 1328125365504000?- 1,328,125,365,504,000 seconds is equal to 42,230,278 years, 24 weeks.
-
To count from 1 to 1,328,125,365,504,000 would take you about one hundred twenty-six million, six hundred ninety thousand, eight hundred thirty-five 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 1328125365504000 cubic inches would be around 9160.1 feet tall.
Recreational maths with 1328125365504000
- 1328125365504000 backwards is 0004055635218231
- 1328125365504000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 1328125365504000's digits is 45
- More coming soon!
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The information we have on file for 1328125365504000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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