12825521010067968

Names of 12825521010067968

• Cardinal: 12825521010067968 can be written as Twelve quadrillion, eight hundred twenty-five trillion, five hundred twenty-one billion, ten million, sixty-seven thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 1.2825521010067968 × 10¹⁶

Factors of 12825521010067968

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 805

Divisors of 12825521010067968

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 128 144 192 216 254 256 288 381 384 432 508 512 576 673 762 768 864 1016 1143 1152 1346 1524 1536 1728 2019 2032 2286 2304 2692 3048 3429 3456 4038 4064 4572 4608 5384 6057 6096 6858 6912 8076 8128 9144 10768 12114 12192 13716 13824 16129 16152 16256 18171 18288 21536 24228 24384 27432 32258 32304 32512 36342 36576 43072 48387 48456 48768 54864 64516 64608 65024 72684 73152 85471 86144 96774 96912 97536 109728 129032 129216 145161 145368 146304 170942 172288 193548 193824 195072 219456 256413 258064 258432 290322 290736 292608 341884 344576 387096 387648 435483 438912 452929 512826 516128 516864 580644 581472 585216 683768 769239 774192 775296 870966 877824 905858 1025652 1032256 1033728 1161288 1162944 1358787 1367536 1538478 1548384 1550592 1741932 1755648 1811716 2048383 2051304 2064512 2307717 2322576 2325888 2717574 2735072 3076956 3096768 3101184 3483864 3623432 4076361 4096766 4102608 4129024 4615434 4645152 4651776 5435148 5470144 6145149 6153912 6193536 6967728 7246864 8152722 8193532 8205216 8258048 9230868 9290304 9303552 10854817 10870296 10940288 12229083 12290298 12307824 12387072 13935456 14493728 16305444 16387064 16410432 18435447 18461736 18580608 21709634 21740592 21880576 24458166 24580596 24615648 24774144 27870912 28987456 32564451 32610888 32774128 32820864 36870894 36923472 37161216 43419268 43481184 43761152 48916332 49161192 49231296 55306341 55741824 57521983 57974912 65128902 65221776 65548256 65641728 73741788 73846944 74322432 86838536 86962368 97693353 97832664 98322384 98462592 110612682 111483648 115043966 115949824 130257804 130443552 131096512 131283456 147483576 147693888 172565949 173677072 173924736 195386706 195665328 196644768 196925184 221225364 222967296 230087932 231899648 260515608 260887104 262193024 293080059 294967152 295387776 345131898 347354144 347849472 390773412 391330656 393289536 393850368 442450728 460175864 517697847 521031216 521774208 524386048 586160118 589934304 590775552 690263796 694708288 695698944 781546824 782661312 786579072 884901456 920351728 1035395694 1042062432 1043548416 1048772096 1172320236 1179868608 1181551104 1378561759 1380527592 1389416576 1553093541 1563093648 1565322624 1573158144 1769802912 1840703456 2070791388 2084124864 2087096832 2344640472 2359737216 2757123518 2761055184 2778833152 3106187082 3126187296 3130645248 3146316288 3539605824 3681406912 4135685277 4141582776 4168249728 4689280944 4719474432 5514247036 5522110368 5557666304 6212374164 6252374592 6261290496 7079211648 7305291841 7362813824 8271370554 8283165552 8336499456 9378561888 9438948864 11028494072 11044220736 12407055831 12424748328 12504749184 14158423296 14610583682 14725627648 16542741108 16566331104 16672998912 18757123776 21915875523 22056988144 22088441472 24814111662 24849496656 25009498368 28316846592 29221167364 29451255296 33085482216 33132662208 37221167493 37514247552 43831751046 44113976288 44176882944 49628223324 49698993312 50018996736 58442334728 65747626569 66170964432 66265324416 74442334986 75028495104 87663502092 88227952576 88353765888 99256446648 99397986624 116884669456 131495253138 132341928864 132530648832 148884669972 150056990208 175327004184 176455905152 197242879707 198512893296 198795973248 233769338912 262990506276 264683857728 265061297664 297769339944 350654008368 352911810304 394485759414 397025786592 397591946496 467538677824 525981012552 529367715456 595538679888 701308016736 705823620608 788971518828 794051573184 795183892992 927772063807 935077355648 1051962025104 1058735430912 1191077359776 1402616033472 1577943037656 1588103146368 1855544127614 1870154711296 2103924050208 2117470861824 2382154719552 2783316191421 2805232066944 3155886075312 3176206292736 3711088255228 3740309422592 4207848100416 4764309439104 5566632382842 5610464133888 6311772150624 6352412585472 7422176510456 8349948574263 8415696200832 9528618878208 11133264765684 11220928267776 12623544301248 14844353020912 16699897148526 16831392401664 19057237756416 22266529531368 25049845722789 25247088602496 29688706041824 33399794297052 33662784803328 44533059062736 50099691445578 50494177204992 59377412083648 66799588594104 89066118125472 100199382891156 100988354409984 118754824167296 133599177188208 178132236250944 200398765782312 237509648334592 267198354376416 356264472501888 400797531564624 475019296669184 534396708752832 712528945003776 801595063129248 1068793417505664 1425057890007552 1603190126258496 2137586835011328 3206380252516992 4275173670022656 6412760505033984 12825521010067968
• Sum of all divisors σ(n): 38322680662886400
• Sum of proper divisors (its aliquot sum) s(n): 25497159652818432
• 12825521010067968 is an abundant number, because the sum of its proper divisors (25497159652818432) is greater than itself. Its abundance is 12671638642750464

Bases of 12825521010067968

• Binary: 101101100100001011111001001111110111010100101000000000₂
• Hexadecimal: 0x2D90BE4FDD4A00
• Base-36: 3IA9N0G96O0

Squares and roots of 12825521010067968

• 12825521010067968 squared (12825521010067968²) is 164493989179694870124019979649024
• 12825521010067968 cubed (12825521010067968³) is 2109721114254069549621405055580919127971024863232
• The square root of 12825521010067968 is 113249816.8213439893
• The cube root of 12825521010067968 is 234076.7822762905

Scales and comparisons

• 12,825,521,010,067,968 seconds is equal to 407,811,896 years, 9 weeks, 2 days, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 12,825,521,010,067,968 would take you about one billion, two hundred twenty-three million, four hundred thirty-five thousand, six hundred eighty-eight 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 12825521010067968 cubic inches would be around 19506.4 feet tall.

Recreational maths with 12825521010067968

• 12825521010067968 backwards is 86976001012552821
• The number of decimal digits it has is: 17
• The sum of 12825521010067968's digits is 63
• More coming soon!