82109253888013248

Names of 82109253888013248

• Cardinal: 82109253888013248 can be written as Eighty-two quadrillion, one hundred nine trillion, two hundred fifty-three billion, eight hundred eighty-eight million, thirteen thousand, two hundred forty-eight.

Scientific notation

• Scientific notation: 8.2109253888013248 × 10¹⁶

Factors of 82109253888013248

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 137694798

Divisors of 82109253888013248

• Number of divisors d(n): 280
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 8849 11232 16848 17698 22464 26547 33696 35396 53094 67392 70792 79641 106188 115037 141584 159282 212376 230074 238923 283168 318564 345111 424752 460148 477846 566336 637128 690222 716769 849504 920296 955692 1035333 1274256 1380444 1433538 1699008 1840592 1911384 2070666 2548512 2760888 2867076 3105999 3681184 3822768 4141332 5097024 5521776 5734152 6211998 7362368 7645536 8282664 9317997 11043552 11468304 12423996 15291072 16565328 18635994 22087104 22936608 24847992 33130656 37271988 45873216 49695984 66261312 74543976 99391968 137685931 149087952 198783936 275371862 298175904 413057793 550743724 596351808 826115586 1101487448 1239173379 1652231172 1789917103 2202974896 2478346758 3304462344 3579834206 3717520137 4405949792 4956693516 5369751309 6608924688 7159668412 7435040274 8811899584 9913387032 10739502618 11152560411 13217849376 14319336824 14870080548 16109253927 19826774064 21479005236 22305120822 26435698752 28638673648 29740161096 32218507854 39653548128 42958010472 44610241644 48327761781 57277347296 59480322192 64437015708 79307096256 85916020944 89220483288 96655523562 114554694592 118960644384 128874031416 144983285343 171832041888 178440966576 193311047124 237921288768 257748062832 289966570686 343664083776 356881933152 386622094248 515496125664 579933141372 713763866304 773244188496 1030992251328 1159866282744 1218382803419 1546488376992 2319732565488 2436765606838 3092976753984 3655148410257 4639465130976 4873531213676 7310296820514 9278930261952 9747062427352 10965445230771 14620593641028 15838976444447 19494124854704 21930890461542 29241187282056 31677952888894 32896335692313 38988249709408 43861780923084 47516929333341 58482374564112 63355905777788 65792671384626 77976499418816 87723561846168 95033858666682 98689007076939 116964749128224 126711811555576 131585342769252 142550788000023 175447123692336 190067717333364 197378014153878 233929498256448 253423623111152 263170685538504 285101576000046 350894247384672 380135434666728 394756028307756 427652364000069 506847246222304 526341371077008 570203152000092 701788494769344 760270869333456 789512056615512 855304728000138 1013694492444608 1052682742154016 1140406304000184 1282957092000207 1520541738666912 1579024113231024 1710609456000276 2105365484308032 2280812608000368 2565914184000414 3041083477333824 3158048226462048 3421218912000552 4561625216000736 5131828368000828 6316096452924096 6842437824001104 9123250432001472 10263656736001656 13684875648002208 20527313472003312 27369751296004416 41054626944006624 82109253888013248
• Sum of all divisors σ(n): 262150062941751600
• Sum of proper divisors (its aliquot sum) s(n): 180040809053738352
• 82109253888013248 is an abundant number, because the sum of its proper divisors (180040809053738352) is greater than itself. Its abundance is 97931555165725104

Bases of 82109253888013248

• Binary: 100100011101101011110111001101110110001000111001111000000₂
• Hexadecimal: 0x123B5EE6EC473C0
• Base-36: MGHAUHYT800

Squares and roots of 82109253888013248

• 82109253888013248 squared (82109253888013248²) is 6741929574046218683335016623509504
• 82109253888013248 cubed (82109253888013248³) is 553574807090465982399320918805559195817179805908992
• The square root of 82109253888013248 is 286547123.3288047649
• The cube root of 82109253888013248 is 434641.0107096615

Scales and comparisons

• 82,109,253,888,013,248 seconds is equal to 2,610,820,293 years, 2 weeks, 19 hours, 40 minutes, 48 seconds.
• To count from 1 to 82,109,253,888,013,248 would take you about seven billion, eight hundred thirty-two million, four hundred sixty 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 82109253888013248 cubic inches would be around 36220.1 feet tall.

Recreational maths with 82109253888013248

• 82109253888013248 backwards is 84231088835290128
• 82109253888013248 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 82109253888013248's digits is 72
• More coming soon!