468982748462816

Names of 468982748462816

• Cardinal: 468982748462816 can be written as Four hundred sixty-eight trillion, nine hundred eighty-two billion, seven hundred forty-eight million, four hundred sixty-two thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 4.68982748462816 × 10¹⁴

Factors of 468982748462816

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1272

Divisors of 468982748462816

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 7 8 14 16 23 28 32 46 53 56 92 106 112 161 184 212 224 322 368 371 424 529 644 736 742 848 1058 1187 1219 1288 1484 1696 2116 2374 2438 2576 2809 2968 3703 4232 4748 4876 5152 5618 5936 7406 8309 8464 8533 9496 9752 11236 11872 14812 16618 16928 17066 18992 19504 19663 22472 27301 28037 29624 33236 34132 37984 39008 39326 44944 54602 56074 59248 62911 64607 66472 68264 78652 89888 109204 112148 118496 125822 129214 132944 136528 157304 191107 196259 218408 224296 251644 258428 265888 273056 314608 382214 392518 436816 440377 448592 452249 503288 516856 627923 629216 764428 785036 873632 880754 897184 904498 1006576 1033712 1255846 1408969 1446953 1485961 1528856 1570072 1761508 1808996 2013152 2067424 2511692 2817938 2893906 2971922 3057712 3140144 3334283 3523016 3617992 4395461 5023384 5635876 5787812 5943844 6115424 6280288 6668566 7046032 7235984 8790922 9862783 10046768 10128671 10401727 11271752 11575624 11887688 13337132 14092064 14471968 17581844 19725566 20093536 20257342 20803454 22543504 23151248 23339981 23775376 26674264 32406287 33279919 35163688 39451132 40514684 41606908 45087008 46302496 46679962 47550752 53348528 64812574 66559838 70327376 74675357 76688509 78902264 81029368 83213816 93359924 106697056 129625148 133119676 140654752 149350714 153377018 157804528 162058736 166427632 186719848 226844009 232959433 259250296 266239352 298701428 306754036 315609056 324117472 332855264 373439696 453688018 465918866 518500592 522727499 532478704 536819563 597402856 613508072 745344601 746879392 907376036 931837732 1037001184 1045454998 1064957408 1073639126 1194805712 1227016144 1490689202 1717533211 1763835707 1814752072 1863675464 2090909996 2147278252 2389611424 2454032288 2981378404 3435066422 3527671414 3629504144 3727350928 3957793921 4181819992 4294556504 5217412207 5962756808 6870132844 7055342828 7259008288 7454701856 7915587842 8363639984 8589113008 10434824414 11925513616 12022732477 12346849949 13740265688 14110685656 15831175684 16727279968 17178226016 20869648828 23851027232 24045464954 24693699898 27480531376 27704557447 28221371312 31662351368 39503263853 41739297656 48090929908 49387399796 54961062752 55409114894 56442742624 63324702736 79006527706 83478595312 91029260183 96181859816 98774799592 110818229788 126649405472 158013055412 166957190624 182058520366 192363719632 197549599184 221636459576 276522846971 316026110824 364117040732 384727439264 395099198368 443272919152 553045693942 632052221648 637204821281 728234081464 886545838304 1106091387884 1264104443296 1274409642562 1456468162928 2093672984209 2212182775768 2548819285124 2912936325856 4187345968418 4424365551536 5097638570248 8374691936836 8848731103072 10195277140496 14655710889463 16749383873672 20390554280992 29311421778926 33498767747344 58622843557852 66997535494688 117245687115704 234491374231408 468982748462816
• Sum of all divisors σ(n): 1125238241495592
• Sum of proper divisors (its aliquot sum) s(n): 656255493032776
• 468982748462816 is an abundant number, because the sum of its proper divisors (656255493032776) is greater than itself. Its abundance is 187272744569960

Bases of 468982748462816

• Binary: 1101010101000100110001110001000001011111011100000₂
• Hexadecimal: 0x1AA898E20BEE0
• Base-36: 4M8NP7NQ3K

Squares and roots of 468982748462816

• 468982748462816 squared (468982748462816²) is 219944818355736943210934649856
• 468982748462816 cubed (468982748462816³) is 103150325422628334244312824846996615195754496
• The square root of 468982748462816 is 21656009.5230588591
• The cube root of 468982748462816 is 77693.6674741787

Scales and comparisons

• 468,982,748,462,816 seconds is equal to 14,912,200 years, 38 weeks, 4 days, 4 hours, 6 minutes, 56 seconds.
• To count from 1 to 468,982,748,462,816 would take you about thirty-seven million, two hundred eighty thousand, five hundred one 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 468982748462816 cubic inches would be around 6474.5 feet tall.

Recreational maths with 468982748462816

• 468982748462816 backwards is 618264847289864
• The number of decimal digits it has is: 15
• The sum of 468982748462816's digits is 83
• More coming soon!