830978519952672

Names of 830978519952672

• Cardinal: 830978519952672 can be written as Eight hundred thirty trillion, nine hundred seventy-eight billion, five hundred nineteen million, nine hundred fifty-two thousand, six hundred seventy-two.

Scientific notation

• Scientific notation: 8.30978519952672 × 10¹⁴

Factors of 830978519952672

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 33839869

Divisors of 830978519952672

• Number of divisors d(n): 288
• 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 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 937 1008 1092 1248 1456 1638 1872 1874 2016 2184 2811 2912 3276 3744 3748 4368 5622 6552 6559 7496 8433 8736 11244 12181 13104 13118 14992 16866 19677 22488 24362 26208 26236 29984 33732 36543 39354 44976 48724 52472 59031 67464 73086 78708 85267 89952 97448 104944 109629 118062 134928 146172 157416 170534 194896 209888 219258 236124 255801 269856 292344 314832 341068 389792 438516 472248 511602 584688 629664 682136 767403 877032 944496 1023204 1169376 1364272 1534806 1754064 1888992 2046408 2728544 3069612 3508128 4092816 6139224 8185632 12278448 24556896 33838907 67677814 101516721 135355628 203033442 236872349 270711256 304550163 406066884 439905791 473744698 541422512 609100326 710617047 812133768 879811582 947489396 1082845024 1218200652 1319717373 1421234094 1624267536 1759623164 1894978792 2131851141 2436401304 2639434746 2842468188 3079340537 3248535072 3519246328 3789957584 3959152119 4263702282 4872802608 5278869492 5684936376 6158681074 7038492656 7579915168 7918304238 8527404564 9238021611 9745605216 10557738984 11369872752 12317362148 14076985312 15836608476 17054809128 18476043222 21115477968 22739745504 24634724296 27714064833 31673216952 31707055859 34109618256 36952086444 42230955936 49269448592 55428129666 63346433904 63414111718 68219236512 73904172888 95121167577 98538897184 110856259332 126692867808 126828223436 147808345776 190242335154 221712518664 221949391013 253656446872 285363502731 295616691552 380484670308 412191726167 443425037328 443898782026 507312893744 570727005462 665848173039 760969340616 824383452334 886850074656 887797564052 1014625787488 1141454010924 1236575178501 1331696346078 1521938681232 1648766904668 1775595128104 1997544519117 2282908021848 2473150357002 2663392692156 2885342083169 3043877362464 3297533809336 3551190256208 3709725535503 3995089038234 4565816043696 4946300714004 5326785384312 5770684166338 6595067618672 7102380512416 7419451071006 7990178076468 8656026249507 9131632087392 9892601428008 10653570768624 11541368332676 13190135237344 14838902142012 15980356152936 17312052499014 19785202856016 21307141537248 23082736665352 25968078748521 29677804284024 31960712305872 34624104998028 39570405712032 46165473330704 51936157497042 59355608568048 63921424611744 69248209996056 92330946661408 103872314994084 118711217136096 138496419992112 207744629988168 276992839984224 415489259976336 830978519952672
• Sum of all divisors σ(n): 2911528881136512
• Sum of proper divisors (its aliquot sum) s(n): 2080550361183840
• 830978519952672 is an abundant number, because the sum of its proper divisors (2080550361183840) is greater than itself. Its abundance is 1249571841231168

Bases of 830978519952672

• Binary: 10111100111100010101000011011111110110110100100000₂
• Hexadecimal: 0x2F3C5437F6D20
• Base-36: 86K29FJT40

Squares and roots of 830978519952672

• 830978519952672 squared (830978519952672²) is 690525300622733297213119939584
• 830978519952672 cubed (830978519952672³) is 573811692301352812245005810487499195179368448
• The square root of 830978519952672 is 28826698.0410984983
• The cube root of 830978519952672 is 94014.8806965697

Scales and comparisons

• 830,978,519,952,672 seconds is equal to 26,422,546 years, 28 weeks, 3 days, 21 hours, 31 minutes, 12 seconds.
• To count from 1 to 830,978,519,952,672 would take you about sixty-six million, fifty-six thousand, three hundred sixty-six 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 830978519952672 cubic inches would be around 7834.6 feet tall.

Recreational maths with 830978519952672

• 830978519952672 backwards is 276259915879038
• The number of decimal digits it has is: 15
• The sum of 830978519952672's digits is 81
• More coming soon!