221138067804768

Names of 221138067804768

• Cardinal: 221138067804768 can be written as Two hundred twenty-one trillion, one hundred thirty-eight billion, sixty-seven million, eight hundred four thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 2.21138067804768 × 10¹⁴

Factors of 221138067804768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 4430

Divisors of 221138067804768

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 127 144 148 162 216 222 254 288 296 324 333 381 432 444 508 592 648 666 762 864 888 999 1016 1143 1184 1296 1332 1524 1776 1998 2032 2286 2592 2664 2997 3048 3429 3552 3996 4064 4261 4572 4699 5328 5994 6096 6858 7992 8522 9144 9398 10287 10656 11988 12192 12783 13716 14097 15984 17044 18288 18796 20574 23976 25566 27432 28194 31968 34088 36576 37592 38349 41148 42291 47952 51132 54864 56388 68176 75184 76698 82296 84582 95904 102264 109728 112776 115047 126873 136352 150368 153396 157657 164592 169164 204528 225552 230094 253746 306792 315314 329184 338328 345141 380619 409056 451104 460188 472971 507492 541147 613584 630628 676656 690282 761238 920376 945942 1014984 1082294 1227168 1261256 1353312 1380564 1418913 1522476 1623441 1840752 1891884 2029968 2164588 2522512 2761128 2837826 3044952 3246882 3681504 3783768 4059936 4256739 4329176 4870323 5045024 5522256 5675652 6089904 6493764 7567536 8513478 8658352 9740646 11044512 11351304 12179808 12770217 12987528 14610969 15135072 17026956 17316704 18156121 19481292 20022439 22702608 25540434 25975056 29221938 34053912 36312242 38962584 40044878 43832907 45405216 51080868 51950112 54468363 58443876 60067317 68107824 72624484 77925168 80089756 87665814 102161736 108936726 116887752 120134634 136215648 145248968 155850336 160179512 163405089 175331628 180201951 204323472 217873452 233775504 240269268 290497936 320359024 326810178 350663256 360403902 408646944 435746904 467551008 480538536 490215267 540605853 580995872 640718048 653620356 671776477 701326512 720807804 871493808 961077072 980430534 1081211706 1307240712 1343552954 1402653024 1441615608 1470645801 1621817559 1742987616 1922154144 1960861068 2015329431 2162423412 2305827367 2614481424 2687105908 2883231216 2941291602 3243635118 3921722136 4030658862 4324846824 4611654734 5228962848 5374211816 5766462432 5882583204 6045988293 6487270236 6917482101 7843444272 8061317724 8649693648 9223309468 10748423632 11765166408 12091976586 12974540472 13834964202 15686888544 16122635448 17299387296 18137964879 18446618936 20752446303 21496847264 23530332816 24183953172 25949080944 27669928404 32245270896 36275929758 36893237872 41504892606 47060665632 48367906344 51898161888 54413894637 55339856808 62257338909 64490541792 72551859516 73786475744 83009785212 85315612579 96735812688 108827789274 110679713616 124514677818 145103719032 166019570424 170631225158 186772016727 193471625376 217655578548 221359427232 249029355636 255946837737 290207438064 332039140848 341262450316 373544033454 435311157096 498058711272 511893675474 580414876128 664078281696 682524900632 747088066908 767840513211 870622314192 996117422544 1023787350948 1365049801264 1494176133816 1535681026422 1741244628384 1992234845088 2047574701896 2303521539633 2730099602528 2988352267632 3071362052844 4095149403792 4607043079266 5976704535264 6142724105688 6910564618899 8190298807584 9214086158532 12285448211376 13821129237798 18428172317064 24570896422752 27642258475596 36856344634128 55284516951192 73712689268256 110569033902384 221138067804768
• Sum of all divisors σ(n): 673355620498176
• Sum of proper divisors (its aliquot sum) s(n): 452217552693408
• 221138067804768 is an abundant number, because the sum of its proper divisors (452217552693408) is greater than itself. Its abundance is 231079484888640

Bases of 221138067804768

• Binary: 110010010001111110110111111110100101001001100000₂
• Hexadecimal: 0xC91FB7FA5260
• Base-36: 26DXFBYE00

Squares and roots of 221138067804768

• 221138067804768 squared (221138067804768²) is 48902045032426169454563533824
• 221138067804768 cubed (221138067804768³) is 10814103750172476410052167738138664196472832
• The square root of 221138067804768 is 14870711.7450634487
• The cube root of 221138067804768 is 60472.0238392517

Scales and comparisons

• 221,138,067,804,768 seconds is equal to 7,031,506 years, 27 weeks, 4 days, 8 hours, 52 minutes, 48 seconds.
• To count from 1 to 221,138,067,804,768 would take you about seventeen million, five hundred seventy-eight thousand, seven hundred sixty-six 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 221138067804768 cubic inches would be around 5039.3 feet tall.

Recreational maths with 221138067804768

• 221138067804768 backwards is 867408760831122
• The number of decimal digits it has is: 15
• The sum of 221138067804768's digits is 63
• More coming soon!