829042806090096

Names of 829042806090096

• Cardinal: 829042806090096 can be written as Eight hundred twenty-nine trillion, forty-two billion, eight hundred six million, ninety thousand and ninety-six.

Scientific notation

• Scientific notation: 8.29042806090096 × 10¹⁴

Factors of 829042806090096

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 5401

Divisors of 829042806090096

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 36 39 48 52 54 58 72 78 87 104 108 116 117 144 156 174 208 216 232 234 261 312 348 351 377 432 464 468 522 624 696 702 754 783 936 1044 1093 1131 1392 1404 1508 1566 1872 2088 2186 2262 2808 3016 3132 3279 3393 4176 4261 4372 4524 5616 6032 6264 6558 6786 8522 8744 9048 9837 10179 12528 12783 13116 13572 14209 17044 17488 18096 19674 20358 25566 26232 27144 28418 29511 31697 34088 38349 39348 40716 42627 51132 52464 54288 55393 56836 59022 63394 68176 76698 78696 81432 85254 95091 102264 110786 113672 115047 118044 123569 126788 127881 153396 157392 162864 166179 170508 190182 204528 221572 227344 230094 236088 247138 253576 255762 285273 306792 332358 341016 370707 380364 383643 412061 443144 460188 472176 494276 498537 507152 511524 570546 613584 664716 682032 741414 760728 767286 824122 855819 886288 920376 988552 997074 1023048 1112121 1141092 1194649 1236183 1329432 1482828 1495611 1521456 1534572 1606397 1648244 1711638 1840752 1977104 1994148 2046096 2224242 2282184 2389298 2472366 2658864 2965656 2991222 3069144 3212794 3296488 3336363 3423276 3583947 3708549 3988296 4448484 4564368 4657273 4778596 4819191 4944732 5931312 5982444 6138288 6425588 6592976 6672726 6846552 7167894 7417098 7976592 8896968 9314546 9557192 9638382 9889464 10751841 11125647 11964888 12851176 13345452 13693104 13971819 14335788 14457573 14834196 15530437 17793936 18629092 19114384 19276764 19778928 21503682 22251294 23929776 25702352 26690904 27943638 28671576 28915146 29668392 31060874 32255523 34644821 37258184 38553528 41915457 43007364 43372719 44502588 46591311 53381808 55887276 57343152 57830292 59336784 60544549 62121748 64511046 69289642 74516368 77107056 83830914 86014728 86745438 89005176 93182622 103934463 111774552 115660584 121089098 124243496 125746371 129022092 135060917 138579284 139773933 167661828 172029456 173490876 178010352 181633647 186365244 207868926 223549104 231321168 242178196 248486992 251492742 258044184 270121834 277158568 279547866 311803389 335323656 346981752 363267294 372730488 405182751 415737852 419321799 450382673 484356392 502985484 516088368 540243668 544900941 554317136 559095732 623606778 670647312 693963504 726534588 745460976 810365502 831475704 838643598 900765346 935410167 968712784 1005970968 1080487336 1089801882 1118191464 1215548253 1247213556 1351148019 1453069176 1620731004 1634702823 1662951408 1677287196 1755791921 1801530692 1870820334 2011941936 2160974672 2179603764 2236382928 2431096506 2494427112 2702296038 2906138352 3241462008 3269405646 3354574392 3511583842 3603061384 3646644759 3741640668 4053444057 4359207528 4862193012 4988854224 5090399389 5267375763 5404592076 6482924016 6538811292 6709148784 7023167684 7206122768 7293289518 7483281336 8106888114 8718415056 9724386024 10180798778 10534751526 10809184152 12160332171 13077622584 14046335368 14586579036 14966562672 15271198167 15802127289 16213776228 19448772048 20361597556 21069503052 21618368304 24320664342 26155245168 28092670736 29173158072 30542396334 31604254578 32427552456 40723195112 42139006104 45813594501 47406381867 48641328684 58346316144 61084792668 63208509156 64855104912 66175192057 81446390224 84278012208 91627189002 94812763734 97282657368 122169585336 126417018312 132350384114 137440783503 147621582281 183254378004 189625527468 194565314736 198525576171 244339170672 252834036624 264700768228 274881567006 295243164562 366508756008 379251054936 397051152342 442864746843 529401536456 549763134012 590486329124 595576728513 733017512016 758502109872 794102304684 885729493686 1058803072912 1099526268024 1180972658248 1191153457026 1328594240529 1588204609368 1771458987372 1786730185539 1919080569653 2199052536048 2361945316496 2382306914052 2657188481058 3176409218736 3542917974744 3573460371078 3838161139306 3985782721587 4764613828104 5314376962116 5757241708959 7085835949488 7146920742156 7676322278612 7971565443174 9529227656208 10628753924232 11514483417918 14293841484312 15352644557224 15943130886348 17271725126877 21257507848464 23028966835836 28587682968624 30705289114448 31886261772696 34543450253754 46057933671672 51815175380631 63772523545392 69086900507508 92115867343344 103630350761262 138173801015016 207260701522524 276347602030032 414521403045048 829042806090096
• Sum of all divisors σ(n): 2654130471652800
• Sum of proper divisors (its aliquot sum) s(n): 1825087665562704
• 829042806090096 is an abundant number, because the sum of its proper divisors (1825087665562704) is greater than itself. Its abundance is 996044859472608

Bases of 829042806090096

• Binary: 10111100100000001010010001111101011110100101110000₂
• Hexadecimal: 0x2F20291F5E970
• Base-36: 85VD09HTO0

Squares and roots of 829042806090096

• 829042806090096 squared (829042806090096²) is 687311974329740517306869289216
• 829042806090096 cubed (829042806090096³) is 569811047857652107359190780254137875577204736
• The square root of 829042806090096 is 28793103.4466605559
• The cube root of 829042806090096 is 93941.8232929587

Scales and comparisons

• 829,042,806,090,096 seconds is equal to 26,360,996 years, 43 weeks, 3 days, 6 hours, 21 minutes, 36 seconds.
• To count from 1 to 829,042,806,090,096 would take you about sixty-five million, nine hundred two thousand, four hundred ninety-two 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 829042806090096 cubic inches would be around 7828.5 feet tall.

Recreational maths with 829042806090096

• 829042806090096 backwards is 690090608240928
• The number of decimal digits it has is: 15
• The sum of 829042806090096's digits is 63
• More coming soon!