968162235001728

Names of 968162235001728

• Cardinal: 968162235001728 can be written as Nine hundred sixty-eight trillion, one hundred sixty-two billion, two hundred thirty-five million, one thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 9.68162235001728 × 10¹⁴

Factors of 968162235001728

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 5565

Divisors of 968162235001728

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 17 24 26 29 32 34 39 48 51 52 58 64 68 78 87 96 102 104 116 128 136 156 169 174 192 204 208 221 232 272 312 338 348 377 384 408 416 442 464 493 507 544 624 663 676 696 754 816 832 884 928 986 1014 1088 1131 1248 1326 1352 1392 1479 1508 1632 1664 1768 1856 1972 2028 2176 2262 2496 2652 2704 2784 2873 2958 3016 3264 3536 3712 3944 4056 4524 4901 4992 5304 5408 5501 5568 5746 5916 6032 6409 6528 7072 7888 8112 8619 9048 9802 10608 10816 11002 11136 11492 11832 12064 12818 14144 14703 15776 16224 16503 17238 18096 19227 19604 21216 21632 22004 22984 23664 24128 25636 28288 29406 31552 32448 33006 34476 36192 38454 39208 42432 44008 45968 47328 48256 51272 58812 63104 64896 66012 68952 71513 72384 76908 78416 83317 84864 88016 91936 93517 94656 102544 117624 132024 137904 143026 144768 153816 156832 159529 166634 176032 183872 187034 189312 205088 214539 235248 249951 264048 275808 280551 286052 307632 313664 319058 333268 352064 367744 374068 410176 429078 470496 478587 499902 528096 551616 561102 572104 615264 627328 638116 666536 704128 748136 820352 858156 929669 940992 957174 999804 1056192 1103232 1122204 1144208 1215721 1230528 1276232 1333072 1496272 1716312 1859338 1881984 1914348 1999608 2073877 2112384 2244408 2288416 2431442 2461056 2552464 2666144 2711993 2789007 2992544 3432624 3647163 3718676 3828696 3999216 4147754 4488816 4576832 4862884 5104928 5332288 5423986 5578014 5985088 6221631 6865248 7294326 7437352 7657392 7998432 8135979 8295508 8977632 9153664 9725768 10209856 10664576 10847972 11156028 11970176 12443262 13730496 14588652 14874704 15314784 15804373 15996864 16271958 16591016 17955264 19451536 20419712 21695944 22312056 24886524 26960401 27460992 29177304 29749408 30261001 30629568 31608746 31993728 32543916 33182032 35255909 35910528 38903072 43391888 44624112 47413119 49773048 53920802 58354608 59498816 60522002 61259136 63217492 65087832 66364064 70511818 77806144 80881203 86783776 89248224 90783003 94826238 99546096 105767727 107841604 116709216 118997632 121044004 126434984 130175664 132728128 141023636 155612288 161762406 173567552 178496448 181566006 189652476 199092192 211535454 215683208 233418432 242088008 252869968 260351328 265456256 282047272 323524812 347135104 356992896 363132012 379304952 393393013 398184384 423070908 431366416 458326817 466836864 484176016 505739936 514437017 520702656 564094544 647049624 726264024 758609904 786786026 796368768 846141816 862732832 877569029 916653634 968352032 1011479872 1028874034 1041405312 1128189088 1180179039 1294099248 1374980451 1452528048 1517219808 1543311051 1573572052 1692283632 1725465664 1755138058 1833307268 1936704064 2022959744 2057748068 2256378176 2360358078 2588198496 2632707087 2749960902 2905056096 3034439616 3086622102 3147144104 3384567264 3450931328 3510276116 3666614536 3873408128 4115496136 4512756352 4720716156 5114109169 5176396992 5265414174 5499921804 5810112192 6068879232 6173244204 6294288208 6687681221 6769134528 7020552232 7333229072 8230992272 9441432312 10228218338 10352793984 10530828348 10999843608 11408397377 11620224384 12346488408 12588576416 13375362442 13538269056 14041104464 14666458144 14918673493 15342327507 16461984544 18882864624 20063043663 20456436676 21061656696 21999687216 22816794754 24692976816 25177152832 26750724884 28082208928 29332916288 29837346986 30684655014 32923969088 34225192131 37765729248 40126087326 40912873352 42123313392 43999374432 44756020479 45633589508 49385953632 50354305664 53501449768 56164417856 58665832576 59674693972 61369310028 65847938176 68450384262 75531458496 80252174652 81825746704 84246626784 86939855873 87998748864 89512040958 91267179016 98771907264 107002899536 112328835712 119349387944 122738620056 136900768524 148309165901 151062916992 160504349304 163651493408 168493253568 173879711746 175997497728 179024081916 182534358032 193942755409 197543814528 214005799072 238698775888 245477240112 260819567619 273801537048 296618331802 321008698608 327302986816 336986507136 347759423492 358048163832 365068716064 387885510818 428011598144 444927497703 477397551776 490954480224 521639135238 547603074096 581828266227 593236663604 642017397216 654605973632 695518846984 716096327664 730137432128 775771021636 856023196288 889854995406 954795103552 981908960448 1043278270476 1095206148192 1163656532454 1186473327208 1284034794432 1391037693968 1432192655328 1460274864256 1551542043272 1779709990812 1909590207104 1963817920896 2086556540952 2190412296384 2327313064908 2372946654416 2521255820317 2568069588864 2782075387936 2864385310656 3103084086544 3559419981624 4173113081904 4380824592768 4654626129816 4745893308832 5042511640634 5564150775872 5728770621312 6206168173088 7118839963248 7563767460951 8346226163808 9309252259632 9491786617664 10085023281268 11128301551744 12412336346176 14237679926496 15127534921902 16692452327616 18618504519264 18983573235328 20170046562536 24824672692352 28475359852992 30255069843804 33384904655232 37237009038528 40340093125072 56950719705984 60510139687608 74474018077056 80680186250144 121020279375216 161360372500288 242040558750432 322720745000576 484081117500864 968162235001728
• Sum of all divisors σ(n): 3050754542989200
• Sum of proper divisors (its aliquot sum) s(n): 2082592307987472
• 968162235001728 is an abundant number, because the sum of its proper divisors (2082592307987472) is greater than itself. Its abundance is 1114430072985744

Bases of 968162235001728

• Binary: 11011100001000100111010110000110100010101110000000₂
• Hexadecimal: 0x37089D61A2B80
• Base-36: 9J6NL9IFEO

Squares and roots of 968162235001728

• 968162235001728 squared (968162235001728²) is 937338113283541193684162985984
• 968162235001728 cubed (968162235001728³) is 907495362708896151051581079797229347879780352
• The square root of 968162235001728 is 31115305.4782004029
• The cube root of 968162235001728 is 98927.2749233801

Scales and comparisons

• 968,162,235,001,728 seconds is equal to 30,784,564 years, 18 weeks, 1 day, 15 hours, 8 minutes, 48 seconds.
• To count from 1 to 968,162,235,001,728 would take you about seventy-six million, nine hundred sixty-one thousand, four hundred ten 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 968162235001728 cubic inches would be around 8243.9 feet tall.

Recreational maths with 968162235001728

• 968162235001728 backwards is 827100532261869
• The number of decimal digits it has is: 15
• The sum of 968162235001728's digits is 60
• More coming soon!