1328515720448000

Names of 1328515720448000

• Cardinal: 1328515720448000 can be written as One quadrillion, three hundred twenty-eight trillion, five hundred fifteen billion, seven hundred twenty million, four hundred forty-eight thousand.

Scientific notation

• Scientific notation: 1.328515720448 × 10¹⁵

Factors of 1328515720448000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 11355

Divisors of 1328515720448000

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 50 56 58 64 70 80 100 112 116 125 128 140 145 160 175 200 203 224 232 250 256 280 290 320 350 400 406 448 464 500 512 560 580 640 700 725 800 812 875 896 928 1000 1015 1024 1120 1160 1280 1400 1450 1600 1624 1750 1792 1856 2000 2030 2048 2240 2320 2560 2800 2900 3121 3200 3248 3500 3584 3625 3712 4000 4060 4480 4640 5075 5120 5600 5800 6242 6400 6496 7000 7168 7250 7424 8000 8120 8191 8960 9280 10150 10240 11200 11600 12484 12800 12992 14000 14336 14500 14848 15605 16000 16240 16382 17920 18560 20300 21847 22400 23200 24968 25375 25600 25984 28000 29000 29696 31210 32000 32480 32764 35840 37120 40600 40955 43694 44800 46400 49936 50750 51200 51968 56000 57337 58000 59392 62420 64000 64960 65528 71680 74240 78025 81200 81910 87388 89600 90509 92800 99872 101500 103936 109235 112000 114674 116000 124840 128000 129920 131056 148480 156050 162400 163820 174776 179200 181018 185600 199744 203000 204775 207872 218470 224000 229348 232000 237539 249680 256000 259840 262112 286685 296960 312100 324800 327640 349552 358400 362036 371200 390125 399488 406000 409550 415744 436940 448000 452545 458696 464000 475078 499360 519680 524224 546175 573370 624200 633563 649600 655280 699104 724072 742400 780250 798976 812000 819100 873880 896000 905090 917392 928000 950156 998720 1023875 1039360 1048448 1092350 1146740 1187695 1248400 1267126 1299200 1310560 1398208 1433425 1448144 1484800 1560500 1597952 1624000 1638200 1662773 1747760 1792000 1810180 1834784 1856000 1900312 1997440 2047750 2078720 2096896 2184700 2262725 2293480 2375390 2496800 2534252 2598400 2621120 2730875 2796416 2866850 2896288 3121000 3167815 3195904 3248000 3276400 3325546 3495520 3620360 3669568 3712000 3800624 3994880 4095500 4193792 4369400 4525450 4586960 4750780 4993600 5068504 5196800 5242240 5461750 5592832 5733700 5792576 5938475 6242000 6335630 6391808 6496000 6552800 6651092 6991040 7167125 7240720 7339136 7424000 7601248 7989760 8191000 8313865 8387584 8738800 9050900 9173920 9501560 9987200 10137008 10393600 10484480 10923500 11185664 11313625 11467400 11585152 11876950 12484000 12671260 12992000 13105600 13302184 13982080 14334250 14481440 14678272 15202496 15839075 15979520 16382000 16627730 16775168 17477600 18101800 18347840 19003120 19974400 20274016 20968960 21847000 22371328 22627250 22934800 23170304 23753900 24968000 25342520 25564111 25984000 26211200 26604368 27964160 28668500 28962880 29356544 29692375 30404992 31678150 31959040 32764000 33255460 34955200 36203600 36695680 38006240 39948800 40548032 41569325 41937920 43694000 44742656 45254500 45869600 46340608 47507800 49936000 50685040 51128222 51968000 52422400 53208736 55928320 57337000 57925760 58713088 59384750 60809984 63356300 65528000 66510920 69910400 72407200 73391360 76012480 79195375 79897600 81096064 83138650 83875840 87388000 90509000 91739200 92681216 95015600 99872000 101370080 102256444 104844800 106417472 111856640 114674000 115851520 117426176 118769500 121619968 126712600 127820555 131056000 133021840 139820800 144814400 146782720 152024960 158390750 159795200 162192128 166277300 174776000 178948777 181018000 183478400 185362432 190031200 199744000 202740160 204512888 207846625 209689600 212834944 223713280 229348000 231703040 237539000 243239936 253425200 255641110 262112000 266043680 279641600 289628800 293565440 304049920 316781500 324384256 332554600 349552000 357897554 362036000 366956800 380062400 399488000 405480320 409025776 415693250 419379200 425669888 458696000 463406080 475078000 486479872 506850400 511282220 524224000 532087360 559283200 579257600 587130880 608099840 633563000 639102775 648768512 665109200 699104000 715795108 724072000 733913600 741359219 760124800 798976000 810960640 818051552 831386500 851339776 894743885 917392000 926812160 950156000 1013700800 1022564440 1048448000 1064174720 1118566400 1158515200 1216199680 1267126000 1278205550 1297537024 1330218400 1398208000 1431590216 1448144000 1467827200 1482718438 1520249600 1621921280 1636103104 1662773000 1702679552 1789487770 1834784000 1900312000 2027401600 2045128880 2096896000 2128349440 2317030400 2432399360 2534252000 2556411100 2660436800 2796416000 2863180432 2896288000 2935654400 2965436876 3040499200 3195513875 3243842560 3272206208 3325546000 3405359104 3578975540 3669568000 3706796095 3800624000 4054803200 4090257760 4256698880 4473719425 4634060800 5068504000 5112822200 5189514533 5320873600 5592832000 5726360864 5792576000 5930873752 6080998400 6391027750 6487685120 6544412416 6651092000 7157951080 7339136000 7413592190 7601248000 8109606400 8180515520 8513397760 8947438850 10137008000 10225644400 10379029066 10641747200 11452721728 11585152000 11861747504 12161996800 12782055500 13088824832 13302184000 14315902160 14678272000 14827184380 15202496000 16219212800 16361031040 17026795520 17894877700 18533980475 20274016000 20451288800 20758058132 21283494400 22368597125 22905443456 23170304000 23723495008 25564111000 25947572665 26177649664 26604368000 28631804320 29654368760 30404992000 32438425600 32722062080 35789755400 37067960950 40548032000 40902577600 41516116264 42566988800 44737194250 45810886912 47446990016 51128222000 51895145330 52355299328 53208736000 57263608640 59308737520 60809984000 65444124160 71579510800 74135921900 81096064000 81805155200 83032232528 85133977600 89474388500 91621773824 92669902375 94893980032 102256444000 103790290660 106417472000 114527217280 118617475040 129737863325 130888248320 143159021600 148271843800 162192128000 163610310400 166064465056 178948777000 183243547648 185339804750 189787960064 204512888000 207580581320 212834944000 229054434560 237234950080 259475726650 261776496640 286318043200 296543687600 327220620800 332128930112 357897554000 366487095296 370679609500 379575920128 409025776000 415161162640 425669888000 458108869120 474469900160 518951453300 572636086400 593087375200 648689316625 654441241600 664257860224 715795108000 741359219000 759151840256 818051552000 830322325280 916217738240 948939800320 1037902906600 1145272172800 1186174750400 1297378633250 1308882483200 1328515720448 1431590216000 1482718438000 1518303680512 1636103104000 1660644650560 1832435476480 1897879600640 2075805813200 2290544345600 2372349500800 2594757266500 2657031440896 2863180432000 2965436876000 3272206208000 3321289301120 3795759201280 4151611626400 4581088691200 4744699001600 5189514533000 5314062881792 5726360864000 5930873752000 6544412416000 6642578602240 7591518402560 8303223252800 9162177382400 9489398003200 10379029066000 10628125763584 11452721728000 11861747504000 13285157204480 16606446505600 18978796006400 20758058132000 22905443456000 23723495008000 26570314408960 33212893011200 37957592012800 41516116264000 45810886912000 47446990016000 53140628817920 66425786022400 83032232528000 94893980032000 132851572044800 166064465056000 189787960064000 265703144089600 332128930112000 664257860224000 1328515720448000
• Sum of all divisors σ(n): 3921142166323200
• Sum of proper divisors (its aliquot sum) s(n): 2592626445875200
• 1328515720448000 is an abundant number, because the sum of its proper divisors (2592626445875200) is greater than itself. Its abundance is 1264110725427200

Bases of 1328515720448000

• Binary: 100101110000100011100101011100110001000100000000000₂
• Hexadecimal: 0x4B8472B988800
• Base-36: D2X3P2P14W

Squares and roots of 1328515720448000

• 1328515720448000 squared (1328515720448000²) is 1764954019477468485320704000000
• 1328515720448000 cubed (1328515720448000³) is 2344769160743702469279050386890555392000000000
• The square root of 1328515720448000 is 36448809.5889015283
• The cube root of 1328515720448000 is 109931.5199236159

Scales and comparisons

• 1,328,515,720,448,000 seconds is equal to 42,242,690 years, 28 weeks, 1 day, 53 minutes, 20 seconds.
• To count from 1 to 1,328,515,720,448,000 would take you about one hundred twenty-six million, seven hundred twenty-eight thousand and seventy-one 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 1328515720448000 cubic inches would be around 9161 feet tall.

Recreational maths with 1328515720448000

• 1328515720448000 backwards is 0008440275158231
• 1328515720448000 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 1328515720448000's digits is 50
• More coming soon!