109946813774774977

Names of 109946813774774977

• Cardinal: 109946813774774977 can be written as One hundred nine quadrillion, nine hundred forty-six trillion, eight hundred thirteen billion, seven hundred seventy-four million, seven hundred seventy-four thousand, nine hundred seventy-seven.

Scientific notation

• Scientific notation: 1.09946813774774977 × 10¹⁷

Factors of 109946813774774977

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 597

Divisors of 109946813774774977

• Number of divisors d(n): 288
• Complete list of divisors:
  1 7 11 13 19 77 91 121 133 143 169 209 247 361 547 847 1001 1183 1463 1573 1729 1859 2197 2299 2527 2717 3211 3829 3971 4693 6017 7111 10393 11011 13013 15379 16093 19019 20449 22477 24167 27797 29887 32851 35321 41743 42119 43681 49777 51623 61009 66187 72751 78221 92443 114323 135109 143143 169169 197467 209209 247247 265837 292201 299209 305767 361361 388531 427063 459173 463309 547547 567853 647101 671099 793117 800261 860431 945763 1016873 1201759 1257553 1382269 1486199 1756417 1860859 2094463 2172137 2567071 2719717 3214211 3291299 3889717 3974971 4697693 5050903 5551819 5684971 6023017 7118111 7382089 8412313 8724287 8802871 10403393 11185603 12294919 13219349 15204959 16348189 17969497 19320587 22833421 23039093 23893507 27228019 28237781 33371923 35356321 36204289 39794797 42786887 50566321 51674623 61070009 62534681 73904623 78299221 92535443 95967157 108014449 114437323 135244109 145412839 159833947 163667323 167254549 197664467 212526457 233603461 251167631 253430023 299508209 310615591 353964247 367091153 433834999 437742767 470655757 517332361 556229531 657362173 671770099 687881491 756101143 812950853 960760099 1017889873 1145671261 1188158939 1404187837 1487685199 1758173417 1800340553 2127675199 2174309137 2569638071 2762843941 3036844993 3109679137 3294590299 3893606717 4038002683 4601535211 4772184989 4815170437 5690655971 6118524841 6725320693 7230983903 8317112573 8942459383 9829314859 10568361089 12489881287 12602383871 13069748329 14893726393 15446066207 18254441881 19339907587 19803746083 21767753959 23404427189 27659777587 28266018781 33405294923 34206470507 40425828781 42829673887 50616887321 52494034879 59083903603 62597215681 73978527623 79540822933 87429169009 91488238303 108122463449 116251971979 127781093167 137388694157 138626222581 163830990323 169906728277 193618443109 200798860691 237307744453 239445293549 257448699079 282980801467 304257553457 359577108631 367458244153 376271175577 413587325221 444684116591 525535774153 556785760531 649922939633 768090746839 813763803853 961720859099 1189347097939 1405592024837 1511275635727 1661154211171 1802140893553 2129802874199 2208787467601 2517039760417 2610385188983 2633898229039 3112788816137 3346833088027 3678750419071 3955348194941 4549460577431 4891525282501 5376635227873 5780893515683 6831965063989 7149152335963 8448998215229 9985179708907 10578929450089 15461512273207 18272696322881 23427831616189 27687437364587 28714237078813 34240676977507 40466254609781 43508830144351 47823755447923 50044066351741 59142987506603 63589828672513 69896257962349 75151615703879 92938980367519 109836976797977 129807336215791 200999659551691 304561811010457 445128800707591 526061309927153 650572862572633 768858837585839 826667772742669 908651353510537 1208206744777747 1427880698373701 5786674409198683 8457447213444229 9995164888615907 15706687682110711 109946813774774977
• Sum of all divisors σ(n): 158197721205753600
• Sum of proper divisors (its aliquot sum) s(n): 48250907430978623
• 109946813774774977 is a deficient number, because the sum of its proper divisors (48250907430978623) is less than itself. Its deficiency is 61695906343796354

Bases of 109946813774774977

• Binary: 110000110100111000000101101101011001110110100001011000001₂
• Hexadecimal: 0x1869C0B6B3B42C1
• Base-36: U2KW4YQW4W1

Squares and roots of 109946813774774977

• 109946813774774977 squared (109946813774774977²) is 12088301859225048626872866985350529
• 109946813774774977 cubed (109946813774774977³) is 1329070273369482541244842168921515451913092442912833
• The square root of 109946813774774977 is 331582288.0896610511
• The cube root of 109946813774774977 is 479064.7497611377

Scales and comparisons

• 109,946,813,774,774,977 seconds is equal to 3,495,968,590 years, 11 weeks, 16 hours, 9 minutes, 37 seconds.
• To count from 1 to 109,946,813,774,774,977 would take you about ten billion, four hundred eighty-seven million, nine hundred five thousand, seven hundred seventy 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 109946813774774977 cubic inches would be around 39922.1 feet tall.

Recreational maths with 109946813774774977

• 109946813774774977 backwards is 779477477318649901
• The number of decimal digits it has is: 18
• The sum of 109946813774774977's digits is 100
• More coming soon!