1328542642688400

Names of 1328542642688400

• Cardinal: 1328542642688400 can be written as One quadrillion, three hundred twenty-eight trillion, five hundred forty-two billion, six hundred forty-two million, six hundred eighty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.3285426426884 × 10¹⁵

Factors of 1328542642688400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 13593577

Divisors of 1328542642688400

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 36 38 40 45 48 50 57 60 72 75 76 80 90 95 100 114 120 144 150 152 171 180 190 200 225 228 240 285 300 304 342 360 380 400 450 456 475 570 600 684 720 760 855 900 912 950 1140 1200 1368 1425 1429 1520 1710 1800 1900 2280 2736 2850 2858 3420 3600 3800 4275 4287 4560 5700 5716 6840 7145 7600 8550 8574 11400 11432 12861 13680 14290 17100 17148 21435 22800 22864 25722 27151 28580 34200 34296 35725 42870 51444 54302 57160 64305 68400 68592 71450 81453 85740 102888 107175 108604 114320 128610 135755 142900 162906 171480 205776 214350 217208 244359 257220 271510 285800 321525 325812 342960 407265 428700 434416 488718 514440 543020 571600 643050 651624 678775 814530 857400 977436 1028880 1086040 1221795 1286100 1303248 1357550 1629060 1714800 1954872 2036325 2172080 2443590 2572200 2715100 3258120 3909744 4072650 4887180 5144400 5430200 6108975 6516240 8145300 9774360 10860400 12217950 13592119 16290600 19548720 24435900 27184238 32581200 40776357 48871800 54368476 67960595 81552714 97743600 108736952 122329071 135921190 163105428 203881785 217473904 244658142 258250261 271842380 326210856 339802975 407763570 489316284 516500522 543684760 611645355 652421712 679605950 774750783 815527140 978632568 1019408925 1033001044 1087369520 1223290710 1291251305 1359211900 1549501566 1631054280 1957265136 2038817850 2066002088 2324252349 2446581420 2582502610 2718423800 3058226775 3099003132 3262108560 3873753915 4077635700 4132004176 4648504698 4893162840 5165005220 5436847600 6116453550 6198006264 6456256525 7747507830 8155271400 9297009396 9786325680 10330010440 11621261745 12232907100 12396012528 12912513050 15495015660 16310542800 18594018792 19368769575 19423138051 20660020880 23242523490 24465814200 25825026100 30990031320 37188037584 38737539150 38846276102 46485046980 48931628400 51650052200 58106308725 58269414153 61980062640 77475078300 77692552204 92970093960 97115690255 103300104400 116212617450 116538828306 154950156600 155385104408 174808242459 185940187920 194231380510 232425234900 233077656612 291347070765 309900313200 310770208816 349616484918 369039622969 388462761020 464850469800 466155313224 485578451275 582694141530 699232969836 738079245938 776925522040 874041212295 929700939600 932310626448 971156902550 1107118868907 1165388283060 1398465939672 1456735353825 1476158491876 1553851044080 1748082424590 1845198114845 1942313805100 2214237737814 2330776566120 2796931879344 2913470707650 2952316983752 3321356606721 3496164849180 3690396229690 3884627610200 4370206061475 4428475475628 4661553132240 5535594344535 5826941415300 5904633967504 6642713213442 6992329698360 7380792459380 7769255220400 8740412122950 8856950951256 9225990574225 11071188689070 11653882830600 13285426426884 13984659396720 14761584918760 16606783033605 17480824245900 17713901902512 18451981148450 22142377378140 23307765661200 26570852853768 27677971722675 29523169837520 33213566067210 34961648491800 36903962296900 44284754756280 53141705707536 55355943445350 66427132134420 69923296983600 73807924593800 83033915168025 88569509512560 110711886890700 132854264268840 147615849187600 166067830336050 221423773781400 265708528537680 332135660672100 442847547562800 664271321344200 1328542642688400
• Sum of all divisors σ(n): 4856461757576000
• Sum of proper divisors (its aliquot sum) s(n): 3527919114887600
• 1328542642688400 is an abundant number, because the sum of its proper divisors (3527919114887600) is greater than itself. Its abundance is 2199376472199200

Bases of 1328542642688400

• Binary: 100101110000100110101110000010010010101000110010000₂
• Hexadecimal: 0x4B84D70495190
• Base-36: D2XG2BI2S0

Squares and roots of 1328542642688400

• 1328542642688400 squared (1328542642688400²) is 1765025553441477673979494560000
• 1328542642688400 cubed (1328542642688400³) is 2344911713181696532361845587334511575104000000
• The square root of 1328542642688400 is 36449178.9028010891
• The cube root of 1328542642688400 is 109932.2625024125

Scales and comparisons

• 1,328,542,642,688,400 seconds is equal to 42,243,546 years, 30 weeks, 3 days, 1 hour.
• To count from 1 to 1,328,542,642,688,400 would take you about one hundred twenty-six million, seven hundred thirty thousand, six hundred thirty-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 1328542642688400 cubic inches would be around 9161 feet tall.

Recreational maths with 1328542642688400

• 1328542642688400 backwards is 0048862462458231
• The number of decimal digits it has is: 16
• The sum of 1328542642688400's digits is 63
• More coming soon!