829426280131008

Names of 829426280131008

• Cardinal: 829426280131008 can be written as Eight hundred twenty-nine trillion, four hundred twenty-six billion, two hundred eighty million, one hundred thirty-one thousand and eight.

Scientific notation

• Scientific notation: 8.29426280131008 × 10¹⁴

Factors of 829426280131008

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1240

Divisors of 829426280131008

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 41 42 48 54 56 63 64 72 82 84 96 108 112 123 126 144 164 168 189 192 216 224 246 252 287 288 328 336 369 378 432 448 492 504 574 576 656 672 738 756 861 864 984 1008 1107 1148 1187 1312 1344 1476 1512 1722 1728 1968 2016 2214 2296 2374 2583 2624 2952 3024 3444 3561 3936 4032 4428 4592 4748 5166 5904 6048 6888 7122 7749 7872 8309 8856 9184 9496 10332 10683 11808 12096 13776 14244 15498 16618 17712 18368 18992 20664 21366 23616 24927 27552 28488 30996 32049 33236 35424 37984 41328 42732 48667 49854 55104 56976 61992 64098 66472 70848 74781 75968 82656 85464 97334 99708 113952 123984 128196 132944 146001 149562 165312 170928 194668 199416 224343 227904 247968 256392 265888 292002 299124 340669 341856 389336 398832 438003 448686 495936 512784 531776 584004 598248 681338 683712 778672 797664 876006 897372 1022007 1025568 1168008 1196496 1314009 1362676 1408969 1557344 1595328 1752012 1794744 2044014 2051136 2336016 2392992 2628018 2725352 2817938 3066021 3114688 3504024 3589488 4088028 4226907 4672032 4785984 5256036 5450704 5635876 6132042 7008048 7178976 8176056 8453814 9198063 9344064 9862783 10512072 10901408 11271752 12264084 12680721 14016096 14357952 16352112 16907628 18396126 19725566 21024144 21802816 22543504 24528168 25361442 28032192 29588349 32704224 33815256 36792252 38042163 39451132 42048288 45087008 49056336 50722884 57767729 59176698 65408448 67630512 73584504 76084326 78902264 84096576 88765047 90174016 98112672 101445768 115535458 118353396 135261024 147169008 152168652 157804528 173303187 177530094 196225344 202891536 231070916 236706792 266295141 270522048 294338016 304337304 315609056 346606374 355060188 404374103 405783072 462141832 473413584 519909561 532590282 588676032 608674608 631218112 693212748 710120376 808748206 811566144 924283664 946827168 1039819122 1065180564 1213122309 1217349216 1386425496 1420240752 1559728683 1617496412 1672446203 1848567328 1893654336 2079638244 2130361128 2426244618 2434698432 2772850992 2840481504 3119457366 3234992824 3344892406 3639366927 3697134656 4159276488 4260722256 4852489236 5017338609 5545701984 5680963008 6238914732 6469985648 6689784812 7278733854 8318552976 8521444512 9704978472 10034677218 10918100781 11091403968 11707123421 12477829464 12939971296 13379569624 14557467708 15052015827 16637105952 17042889024 19409956944 20069354436 21836201562 23414246842 24955658928 25879942592 26759139248 29114935416 30104031654 33274211904 35121370263 38819913888 40138708872 43672403124 45156047481 46828493684 49911317856 53518278496 58229870832 60208063308 68570294323 70242740526 77639827776 80277417744 87344806248 90312094962 93656987368 99822635712 105364110789 107036556992 116459741664 120416126616 137140588646 140485481052 160554835488 174689612496 180624189924 187313974736 205710882969 210728221578 232919483328 240832253232 274281177292 280970962104 316092332367 321109670976 349379224992 361248379848 374627949472 411421765938 421456443156 479992060261 481664506464 548562354584 561941924208 617132648907 632184664734 698758449984 722496759696 749255898944 822843531876 842912886312 959984120522 963329012928 1097124709168 1123883848416 1234265297814 1264369329468 1439976180783 1444993519392 1645687063752 1685825772624 1851397946721 1919968241044 2194249418336 2247767696832 2468530595628 2528738658936 2879952361566 2889987038784 3291374127504 3371651545248 3702795893442 3839936482088 4319928542349 4388498836672 4937061191256 5057477317872 5759904723132 6582748255008 6743303090496 7405591786884 7679872964176 8639857084698 9874122382512 10114954635744 11519809446264 12959785627047 13165496510016 14811183573768 15359745928352 17279714169396 19748244765024 20229909271488 23039618892528 25919571254094 29622367147536 30719491856704 34559428338792 39496489530048 46079237785056 51839142508188 59244734295072 69118856677584 92158475570112 103678285016376 118489468590144 138237713355168 207356570032752 276475426710336 414713140065504 829426280131008
• Sum of all divisors σ(n): 2857071943756800
• Sum of proper divisors (its aliquot sum) s(n): 2027645663625792
• 829426280131008 is an abundant number, because the sum of its proper divisors (2027645663625792) is greater than itself. Its abundance is 1198219383494784

Bases of 829426280131008

• Binary: 10111100100101101111011010110010110110100111000000₂
• Hexadecimal: 0x2F25BDACB69C0
• Base-36: 8609681DC0

Squares and roots of 829426280131008

• 829426280131008 squared (829426280131008²) is 687947954171961356197643096064
• 829426280131008 cubed (829426280131008³) is 570602112552587073554926371288786988649152512
• The square root of 829426280131008 is 28799761.8068450003
• The cube root of 829426280131008 is 93956.3053347415

Scales and comparisons

• 829,426,280,131,008 seconds is equal to 26,373,190 years, 6 weeks, 3 days, 5 hours, 16 minutes, 48 seconds.
• To count from 1 to 829,426,280,131,008 would take you about sixty-five million, nine hundred thirty-two thousand, nine hundred seventy-five 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 829426280131008 cubic inches would be around 7829.7 feet tall.

Recreational maths with 829426280131008

• 829426280131008 backwards is 800131082624928
• 829426280131008 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 829426280131008's digits is 54
• More coming soon!