82768725146016

Names of 82768725146016

• Cardinal: 82768725146016 can be written as Eighty-two trillion, seven hundred sixty-eight billion, seven hundred twenty-five million, one hundred forty-six thousand and sixteen.

Scientific notation

• Scientific notation: 8.2768725146016 × 10¹³

Factors of 82768725146016

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 201794

Divisors of 82768725146016

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 61 63 72 78 84 91 96 104 112 117 122 126 144 156 168 182 183 208 224 234 244 252 257 273 288 312 336 364 366 416 427 468 488 504 514 546 549 624 672 728 732 771 793 819 854 936 976 1008 1028 1092 1098 1248 1281 1456 1464 1542 1586 1638 1708 1799 1872 1952 2016 2056 2184 2196 2313 2379 2562 2912 2928 3084 3172 3276 3341 3416 3598 3744 3843 4112 4368 4392 4626 4758 5124 5397 5551 5856 6168 6344 6552 6682 6832 7137 7196 7686 8224 8736 8784 9252 9516 10023 10248 10794 11102 12336 12688 13104 13364 13664 14274 14392 15372 15677 16191 16653 17568 18504 19032 20046 20496 21588 22204 23387 24672 25376 26208 26728 28548 28784 30069 30744 31354 32382 33306 37008 38064 40092 40992 43176 44408 46774 47031 49959 53456 57096 57568 60138 61488 62708 64764 66612 70161 74016 76128 80184 86352 88816 93548 94062 99918 106912 109739 114192 120276 122976 125416 129528 133224 140322 141093 160368 172704 177632 187096 188124 199836 201451 203801 210483 219478 228384 240552 250832 259056 266448 280644 282186 320736 329217 374192 376248 399672 402902 407602 420966 438956 481104 501664 518112 532896 561288 564372 604353 611403 658434 748384 752496 799344 805804 815204 841932 877912 962208 987651 1122576 1128744 1208706 1222806 1316868 1410157 1426607 1504992 1598688 1611608 1630408 1683864 1755824 1813059 1834209 1975302 2245152 2257488 2417412 2445612 2618863 2633736 2820314 2853214 3223216 3260816 3367728 3511648 3626118 3668418 3950604 4230471 4279821 4514976 4834824 4891224 5237726 5267472 5640628 5706428 6446432 6521632 6735456 7252236 7336836 7856589 7901208 8460942 8559642 9669648 9782448 10475452 10534944 11281256 11412856 12288511 12691413 12839463 14504472 14673672 15713178 15802416 16921884 17119284 18332041 19339296 19564896 20950904 22562512 22825712 23569767 24577022 25382826 25678926 29008944 29347344 31426356 31604832 33843768 34238568 36664082 36865533 41901808 45125024 45651424 47139534 49154044 50765652 51357852 51772907 54996123 58017888 58694688 62852712 67687536 68477136 73328164 73731066 83803616 86019577 94279068 98308088 101531304 102715704 103545814 109992246 110596599 125705424 135375072 136954272 146656328 147462132 155318721 159750643 164988369 172039154 188558136 196616176 203062608 205431408 207091628 219984492 221193198 251410848 258058731 293312656 294924264 310637442 319501286 329976738 344078308 362410349 377116272 393232352 406125216 410862816 414183256 439968984 442386396 465956163 479251929 516117462 586625312 589848528 621274884 639002572 659953476 673047791 688156616 724820698 754232544 774176193 828366512 879937968 884772792 931912326 958503858 1032234924 1087231047 1118254501 1179697056 1242549768 1278005144 1319906952 1346095582 1376313232 1437755787 1449641396 1548352386 1656733024 1759875936 1769545584 1863824652 1917007716 2019143373 2064469848 2174462094 2236509002 2485099536 2556010288 2639813904 2692191164 2752626464 2875511574 2899282792 3096704772 3158147327 3261693141 3354763503 3539091168 3727649304 3834015432 4038286746 4128939696 4348924188 4473018004 4711334537 4970199072 5112020576 5279627808 5384382328 5751023148 5798565584 6057430119 6193409544 6316294654 6523386282 6709527006 7455298608 7668030864 8076573492 8257879392 8697848376 8946036008 9422669074 9474441981 10064290509 10768764656 11502046296 11597131168 12114860238 12386819088 12632589308 13046772564 13419054012 14134003611 14910597216 15336061728 16153146984 17395696752 17892072016 18845338148 18948883962 20128581018 21537529312 22107031289 23004092592 24229720476 24773638176 25265178616 26093545128 26838108024 28268007222 28423325943 32306293968 34791393504 35784144032 37690676296 37897767924 40257162036 41055915251 42402010833 44214062578 46008185184 48459440952 50530357232 52187090256 53676216048 56536014444 56846651886 64612587936 66321093867 75381352592 75795535848 80514324072 82111830502 84804021666 88428125156 96918881904 101060714464 104374180512 107352432096 113072028888 113693303772 123167745753 132642187734 150762705184 151591071696 161028648144 164223661004 169608043332 176856250312 193837763808 198963281601 226144057776 227386607544 246335491506 265284375468 287391406757 303182143392 322057296288 328447322008 339216086664 353712500624 369503237259 397926563202 452288115552 454773215088 492670983012 530568750936 574782813514 656894644016 678432173328 707425001248 739006474518 795853126404 862174220271 909546430176 985341966024 1061137501872 1149565627028 1313789288032 1356864346656 1478012949036 1591706252808 1724348440542 1970683932048 2122275003744 2299131254056 2586522660813 2956025898072 3183412505616 3448696881084 3941367864096 4598262508112 5173045321626 5912051796144 6366825011232 6897393762168 9196525016224 10346090643252 11824103592288 13794787524336 20692181286504 27589575048672 41384362573008 82768725146016
• Sum of all divisors σ(n): 295586709739776
• Sum of proper divisors (its aliquot sum) s(n): 212817984593760
• 82768725146016 is an abundant number, because the sum of its proper divisors (212817984593760) is greater than itself. Its abundance is 130049259447744

Bases of 82768725146016

• Binary: 10010110100011100011000011101011111100110100000₂
• Hexadecimal: 0x4B471875F9A0
• Base-36: TC7FDXD40

Squares and roots of 82768725146016

• 82768725146016 squared (82768725146016²) is 6850661862296741320520672256
• 82768725146016 cubed (82768725146016³) is 567020548748733093239433359429140080132096
• The square root of 82768725146016 is 9097731.8682194631
• The cube root of 82768725146016 is 43580.1534722313

Scales and comparisons

• 82,768,725,146,016 seconds is equal to 2,631,789 years, 22 weeks, 5 days, 20 hours, 33 minutes, 36 seconds.
• To count from 1 to 82,768,725,146,016 would take you about six million, five hundred seventy-nine thousand, four hundred seventy-three 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 82768725146016 cubic inches would be around 3631.7 feet tall.

Recreational maths with 82768725146016

• 82768725146016 backwards is 61064152786728
• 82768725146016 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 82768725146016's digits is 63
• More coming soon!