10407742345728

Names of 10407742345728

• Cardinal: 10407742345728 can be written as Ten trillion, four hundred seven billion, seven hundred forty-two million, three hundred forty-five thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.0407742345728 × 10¹³

Factors of 10407742345728

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1460045

Divisors of 10407742345728

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 28 32 34 36 39 42 48 51 52 56 63 64 68 72 78 84 91 96 102 104 112 117 119 126 128 136 144 153 156 168 182 192 204 208 221 224 234 238 252 256 272 273 288 306 312 336 357 364 384 408 416 442 448 468 476 504 512 544 546 576 612 624 663 672 714 728 768 816 819 832 884 896 936 952 1008 1071 1088 1092 1152 1224 1248 1326 1344 1428 1456 1536 1547 1632 1638 1664 1768 1792 1872 1904 1989 2016 2142 2176 2184 2304 2448 2496 2652 2688 2856 2912 3094 3264 3276 3328 3536 3584 3744 3808 3978 4032 4284 4352 4368 4608 4641 4896 4992 5304 5376 5712 5824 6188 6528 6552 6656 7072 7488 7616 7956 8064 8568 8704 8736 9282 9792 9984 10608 10752 11424 11648 12376 13056 13104 13923 14144 14976 15232 15912 16128 17136 17472 18564 19584 19968 21216 22848 23296 24752 26112 26208 27846 28288 29952 30464 31824 32256 34272 34944 37128 39168 42432 45696 46592 49504 52416 55692 56576 59904 60928 63648 68544 69888 74256 78336 84864 91392 99008 104832 111384 113152 127296 137088 139776 148512 169728 182784 198016 209664 222768 254592 274176 297024 339456 396032 419328 445536 509184 548352 594048 792064 891072 1018368 1188096 1460003 1782144 2376192 2920006 3564288 4380009 5840012 7128576 8760018 10220021 11680024 13140027 17520036 18980039 20440042 23360048 24820051 26280054 30660063 35040072 37960078 40880084 46720096 49640102 52560108 56940117 61320126 70080144 74460153 75920156 81760168 91980189 93440192 99280204 105120216 113880234 122640252 132860273 140160288 148920306 151840312 163520336 170820351 173740357 183960378 186880384 198560408 210240432 223380459 227760468 245280504 265720546 280320576 297840612 303680624 322660663 327040672 341640702 347480714 367920756 373760768 397120816 398580819 420480864 446760918 455520936 490561008 521221071 531441092 560641152 595681224 607361248 645321326 654081344 683281404 694961428 735841512 747521536 794241632 797161638 840961728 893521836 911041872 967981989 981122016 1042442142 1062882184 1121282304 1191362448 1195742457 1214722496 1290642652 1308162688 1366562808 1389922856 1471683024 1563663213 1588483264 1594323276 1681923456 1787043672 1822083744 1935963978 1962244032 2084884284 2125764368 2242564608 2258624641 2382724896 2391484914 2429444992 2581285304 2616325376 2733125616 2779845712 2903945967 2943366048 3127326426 3176966528 3188646552 3363846912 3574087344 3644167488 3871927956 3924488064 4169768568 4251528736 4517249282 4765449792 4782969828 4858889984 5162570608 5232650752 5466251232 5559691424 5807891934 5886732096 6254652852 6353933056 6377293104 6727693824 6775873923 7148174688 7288334976 7743855912 7848976128 8339537136 8503057472 9034498564 9530899584 9565939656 9717779968 10325141216 10932502464 11119382848 11615783868 11773464192 12509305704 12707866112 12754586208 13551747846 14296349376 14576669952 15487711824 15697952256 16679074272 17006114944 18068997128 19061799168 19131879312 20327621769 20650282432 21865004928 22238765696 23231567736 23546928384 25018611408 25509172416 27103495692 28592698752 29153339904 30975423648 33358148544 34012229888 36137994256 38123598336 38263758624 40655243538 41300564864 43730009856 44477531392 46463135472 47093856768 50037222816 51018344832 54206991384 57185397504 61950847296 66716297088 68024459776 72275988512 76527517248 81310487076 82601129728 87460019712 88955062784 92926270944 100074445632 102036689664 108413982768 114370795008 123901694592 133432594176 144551977024 153055034496 162620974152 165202259456 185852541888 200148891264 204073379328 216827965536 247803389184 266865188352 289103954048 306110068992 325241948304 371705083776 400297782528 433655931072 495606778368 578207908096 612220137984 650483896608 743410167552 800595565056 867311862144 1156415816192 1300967793216 1486820335104 1734623724288 2601935586432 3469247448576 5203871172864 10407742345728
• Sum of all divisors σ(n): 39143851883136
• Sum of proper divisors (its aliquot sum) s(n): 28736109537408
• 10407742345728 is an abundant number, because the sum of its proper divisors (28736109537408) is greater than itself. Its abundance is 18328367191680

Bases of 10407742345728

• Binary: 10010111011100111101110010010001001000000000₂
• Hexadecimal: 0x9773DC91200
• Base-36: 3OT912M80

Squares and roots of 10407742345728

• 10407742345728 squared (10407742345728²) is 108321100735059771879849984
• 10407742345728 cubed (10407742345728³) is 1127378107056149975235078444652903268352
• The square root of 10407742345728 is 3226103.2757380845
• The cube root of 10407742345728 is 21833.2729464925

Scales and comparisons

• 10,407,742,345,728 seconds is equal to 330,934 years, 4 days, 20 hours, 28 minutes, 48 seconds.
• To count from 1 to 10,407,742,345,728 would take you about eight hundred twenty-seven thousand, three hundred thirty-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 10407742345728 cubic inches would be around 1819.4 feet tall.

Recreational maths with 10407742345728

• 10407742345728 backwards is 82754324770401
• The number of decimal digits it has is: 14
• The sum of 10407742345728's digits is 54
• More coming soon!