38400908263424

Names of 38400908263424

• Cardinal: 38400908263424 can be written as Thirty-eight trillion, four hundred billion, nine hundred eight million, two hundred sixty-three thousand, four hundred twenty-four.

Scientific notation

• Scientific notation: 3.8400908263424 × 10¹³

Factors of 38400908263424

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 343

Divisors of 38400908263424

• Number of divisors d(n): 408
• Complete list of divisors:
  1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 256 272 317 343 392 448 476 512 544 634 686 784 833 896 952 1024 1088 1268 1372 1568 1666 1792 1904 2048 2176 2219 2536 2744 3136 3332 3584 3808 4096 4352 4438 5072 5389 5488 5831 6272 6664 7168 7616 8192 8704 8876 10144 10778 10976 11662 12544 13328 14336 15232 15533 16384 17408 17752 20288 21556 21952 23324 25088 26656 28672 30464 31066 32768 34816 35504 37723 40576 43112 43904 46648 50176 53312 57344 60928 62132 65536 69632 71008 75446 81152 86224 87808 93296 100352 100489 106624 108731 114688 121856 124264 139264 142016 150892 162304 172448 175616 186592 200704 200978 213248 217462 229376 243712 248528 264061 278528 284032 301784 324608 344896 351232 373184 401408 401956 426496 434924 458752 487424 497056 528122 557056 568064 603568 649216 689792 702464 703423 746368 802816 803912 852992 869848 974848 994112 1056244 1114112 1136128 1207136 1298432 1379584 1404928 1406846 1492736 1605632 1607824 1705984 1708313 1739696 1848427 1949696 1988224 2112488 2272256 2414272 2596864 2759168 2809856 2813692 2985472 3211264 3215648 3411968 3416626 3479392 3696854 3899392 3976448 4224976 4544512 4828544 4923961 5193728 5518336 5619712 5627384 5970944 6431296 6823936 6833252 6958784 7393708 7798784 7952896 8449952 9089024 9657088 9847922 10387456 11036672 11239424 11254768 11941888 11958191 12862592 13647872 13666504 13917568 14787416 15905792 16899904 18178048 19314176 19695844 20774912 22073344 22478848 22509536 23883776 23916382 25725184 27295744 27333008 27835136 29574832 31811584 33799808 34467727 36356096 38628352 39391688 44146688 45019072 47767552 47832764 51450368 54591488 54666016 55670272 59149664 63623168 67599616 68935454 72712192 77256704 78783376 83707337 88293376 90038144 95535104 95665528 102900736 109332032 111340544 118299328 127246336 135199232 137870908 145424384 154513408 157566752 167414674 176586752 180076288 191070208 191331056 205801472 218664064 222681088 236598656 254492672 270398464 275741816 309026816 315133504 334829348 353173504 360152576 382140416 382662112 411602944 437328128 445362176 473197312 508985344 540796928 551483632 585951359 618053632 630267008 669658696 720305152 765324224 823205888 874656256 890724352 946394624 1017970688 1081593856 1102967264 1171902718 1236107264 1260534016 1339317392 1440610304 1530648448 1646411776 1749312512 1781448704 1892789248 2163187712 2205934528 2343805436 2472214528 2521068032 2678634784 2881220608 3061296896 3292823552 3498625024 3562897408 3785578496 4326375424 4411869056 4687610872 5042136064 5357269568 5762441216 6122593792 6585647104 6997250048 7125794816 7571156992 8652750848 8823738112 9375221744 10084272128 10714539136 11524882432 12245187584 13994500096 15142313984 17305501696 17647476224 18750443488 20168544256 21429078272 23049764864 24490375168 27989000192 30284627968 35294952448 37500886976 40337088512 42858156544 46099529728 48980750336 55978000384 60569255936 70589904896 75001773952 80674177024 85716313088 97961500672 111956000768 121138511872 141179809792 150003547904 161348354048 171432626176 195923001344 282359619584 300007095808 322696708096 342865252352 391846002688 564719239168 600014191616 685730504704 783692005376 1129438478336 1200028383232 1371461009408 2258876956672 2400056766464 2742922018816 4800113532928 5485844037632 9600227065856 19200454131712 38400908263424
• Sum of all divisors σ(n): 95132694938400
• Sum of proper divisors (its aliquot sum) s(n): 56731786674976
• 38400908263424 is an abundant number, because the sum of its proper divisors (56731786674976) is greater than itself. Its abundance is 18330878411552

Bases of 38400908263424

• Binary: 1000101110110011101000011111110000000000000000₂
• Hexadecimal: 0x22ECE87F0000
• Base-36: DM14TAQ68

Squares and roots of 38400908263424

• 38400908263424 squared (38400908263424²) is 1474629755455905647376203776
• 38400908263424 cubed (38400908263424³) is 56627121961777599522790531845857711489024
• The square root of 38400908263424 is 6196846.6386884225
• The cube root of 38400908263424 is 33737.5726026953

Scales and comparisons

• 38,400,908,263,424 seconds is equal to 1,221,030 years, 5 weeks, 1 day, 18 hours, 3 minutes, 44 seconds.
• To count from 1 to 38,400,908,263,424 would take you about three million, fifty-two thousand, five 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 38400908263424 cubic inches would be around 2811.5 feet tall.

Recreational maths with 38400908263424

• 38400908263424 backwards is 42436280900483
• The number of decimal digits it has is: 14
• The sum of 38400908263424's digits is 53
• More coming soon!