13824588968064

Names of 13824588968064

• Cardinal: 13824588968064 can be written as Thirteen trillion, eight hundred twenty-four billion, five hundred eighty-eight million, nine hundred sixty-eight thousand and sixty-four.

Scientific notation

• Scientific notation: 1.3824588968064 × 10¹³

Factors of 13824588968064

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 122457

Divisors of 13824588968064

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 29 32 36 42 46 48 49 54 56 58 63 64 69 72 84 87 92 96 98 108 112 116 126 128 138 144 147 161 168 174 184 189 192 196 203 207 216 224 232 252 261 276 288 294 322 336 348 368 378 384 392 406 414 432 441 448 464 483 504 522 552 576 588 609 621 644 667 672 696 736 756 783 784 812 828 864 882 896 928 966 1008 1044 1104 1127 1152 1176 1218 1242 1288 1323 1334 1344 1392 1421 1449 1472 1512 1566 1568 1624 1656 1728 1764 1827 1856 1932 2001 2016 2088 2208 2254 2352 2436 2484 2576 2646 2668 2688 2784 2842 2898 2944 3024 3132 3136 3248 3312 3381 3456 3528 3654 3712 3864 4002 4032 4176 4263 4347 4416 4508 4669 4704 4872 4968 5152 5292 5336 5481 5568 5684 5796 6003 6048 6264 6272 6496 6624 6762 7056 7308 7728 8004 8064 8352 8526 8694 8832 9016 9338 9408 9744 9936 10143 10304 10584 10672 10962 11136 11368 11592 12006 12096 12528 12789 12992 13248 13524 14007 14112 14616 15456 16008 16704 17052 17388 18009 18032 18676 18816 19488 19872 20286 20608 21168 21344 21924 22736 23184 24012 24192 25056 25578 25984 26496 27048 28014 28224 29232 30429 30912 32016 32683 33408 34104 34776 36018 36064 37352 38367 38976 39744 40572 42021 42336 42688 43848 45472 46368 48024 50112 51156 54096 56028 56448 58464 60858 61824 64032 65366 68208 69552 72036 72128 74704 76734 77952 79488 81144 84042 84672 85376 87696 90944 92736 96048 98049 100224 102312 108192 112056 116928 121716 122393 126063 128064 130732 136416 139104 144072 144256 149408 153468 162288 168084 169344 175392 181888 185472 192096 196098 204624 216384 224112 233856 243432 244786 252126 256128 261464 272832 278208 288144 294147 298816 306936 324576 336168 350784 367179 384192 392196 409248 432768 448224 486864 489572 504252 522928 545664 556416 576288 588294 597632 613872 649152 672336 701568 734358 768384 784392 818496 856751 882441 896448 973728 979144 1008504 1045856 1101537 1152576 1176588 1227744 1298304 1344672 1468716 1568784 1636992 1713502 1764882 1792896 1947456 1958288 2017008 2091712 2203074 2305152 2353176 2455488 2570253 2689344 2815039 2937432 3137568 3304611 3427004 3529764 3549397 3894912 3916576 4034016 4183424 4406148 4706352 4910976 5140506 5378688 5630078 5874864 5997257 6275136 6609222 6854008 7059528 7098794 7710759 7833152 8068032 8445117 8812296 9412704 10281012 10648191 11260156 11749728 11994514 12550272 13218444 13708016 14119056 14197588 15421518 15666304 16136064 16890234 17624592 17991771 18825408 19705273 20562024 21296382 22520312 23132277 23499456 23989028 24845779 25335351 26436888 27416032 28238112 28395176 30843036 31944573 33780468 35249184 35983542 37650816 39410546 41124048 42592764 45040624 46264554 46998912 47978056 49691558 50670702 52873776 53975313 54832064 56476224 56790352 59115819 61686072 63889146 67560936 70498368 71967084 74537337 76006053 78821092 81636131 82248096 85185528 90081248 92529108 95833719 95956112 99383116 101341404 105747552 107950626 109664128 112952448 113580704 118231638 123372144 127778292 135121872 137936911 140996736 143934168 149074674 152012106 157642184 161925939 163272262 164496192 170371056 173920453 177347457 180162496 185058216 191667438 191912224 198766232 202682808 211495104 215901252 223612011 227161408 236463276 244908393 246744288 255556584 270243744 275873822 287868336 298149348 304024212 315284368 323851878 326544524 328992384 340742112 347840906 354694914 360324992 370116432 383334876 383824448 397532464 405365616 413810733 422990208 431802504 447224022 454322816 472926552 489816786 493488576 511113168 521761359 532042371 540487488 551747644 571452917 575736672 596298696 608048424 630568736 647703756 653089048 670836033 681484224 695681812 709389828 734725179 740232864 766669752 767648896 795064928 810731232 827621466 863605008 894448044 945853104 979633572 986977152 1022226336 1043522718 1064084742 1080974976 1103495288 1142905834 1151473344 1192597392 1216096848 1241432199 1261137472 1295407512 1306178096 1341672066 1362968448 1391363624 1418779656 1469450358 1480465728 1533339504 1565284077 1590129856 1621462464 1655242932 1714358751 1727210016 1788896088 1891706208 1959267144 2044452672 2087045436 2128169484 2204175537 2206990576 2285811668 2302946688 2385194784 2432193696 2482864398 2522274944 2590815024 2612356192 2683344132 2782727248 2837559312 2938900716 2960931456 3066679008 3130568154 3180259712 3242924928 3310485864 3428717502 3454420032 3577792176 3724296597 3783412416 3918534288 4000170419 4088905344 4174090872 4256338968 4408351074 4413981152 4571623336 4695852231 4770389568 4864387392 4965728796 5143076253 5181630048 5224712384 5366688264 5565454496 5675118624 5877801432 6133358016 6261136308 6620971728 6857435004 6908840064 7155584352 7448593194 7566824832 7837068576 8000340838 8348181744 8512677936 8816702148 8827962304 9143246672 9391704462 9540779136 9728774784 9931457592 10286152506 10363260096 10449424768 10733376528 11130908992 11350237248 11755602864 12000511257 12266716032 12522272616 13241943456 13714870008 14311168704 14897186388 15429228759 15674137152 16000681676 16696363488 17025355872 17633404296 17655924608 18286493344 18783408924 19862915184 20572305012 20726520192 21466753056 22261817984 22700474496 23511205728 24001022514 25044545232 26483886912 27429740016 28622337408 29794372776 30858457518 31348274304 32001363352 33392726976 34050711744 35266808592 36001533771 36572986688 37566817848 39725830368 41144610024 42933506112 47022411456 48002045028 50089090464 52967773824 54859480032 59588745552 61716915036 64002726704 66785453952 68101423488 70533617184 72003067542 73145973376 75133635696 79451660736 82289220048 85867012224 94044822912 96004090056 100178180928 108004601313 109718960064 119177491104 123433830072 128005453408 141067234368 144006135084 150267271392 158903321472 164578440096 192008180112 200356361856 216009202626 219437920128 238354982208 246867660144 256010906816 282134468736 288012270168 300534542784 329156880192 384016360224 432018405252 476709964416 493735320288 512021813632 576024540336 601069085568 658313760384 768032720448 864036810504 987470640576 1152049080672 1536065440896 1728073621008 1974941281152 2304098161344 3456147242016 4608196322688 6912294484032 13824588968064
• Sum of all divisors σ(n): 51235107552000
• Sum of proper divisors (its aliquot sum) s(n): 37410518583936
• 13824588968064 is an abundant number, because the sum of its proper divisors (37410518583936) is greater than itself. Its abundance is 23585929615872

Bases of 13824588968064

• Binary: 11001001001011001001101101101111000010000000₂
• Hexadecimal: 0xC92C9B6F080
• Base-36: 4WEXFBXC0

Squares and roots of 13824588968064

• 13824588968064 squared (13824588968064²) is 191119260135916852411908096
• 13824588968064 cubed (13824588968064³) is 2642145215259549931067647534345847046144
• The square root of 13824588968064 is 3718143.2151093911
• The cube root of 13824588968064 is 24000.3408331597

Scales and comparisons

• 13,824,588,968,064 seconds is equal to 439,579 years, 8 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
• To count from 1 to 13,824,588,968,064 would take you about one million, ninety-eight thousand, nine hundred forty-seven 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 13824588968064 cubic inches would be around 2000 feet tall.

Recreational maths with 13824588968064

• 13824588968064 backwards is 46086988542831
• 13824588968064 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13824588968064's digits is 72
• More coming soon!