442335923972198949

Names of 442335923972198949

• Cardinal: 442335923972198949 can be written as Four hundred forty-two quadrillion, three hundred thirty-five trillion, nine hundred twenty-three billion, nine hundred seventy-two million, one hundred ninety-eight thousand, nine hundred forty-nine.

Scientific notation

• Scientific notation: 4.42335923972198949 × 10¹⁷

Factors of 442335923972198949

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 1539

Divisors of 442335923972198949

• Number of divisors d(n): 144
• Complete list of divisors:
  1 3 7 11 21 33 77 121 231 317 363 847 951 1201 2219 2541 3487 3603 6657 8407 10461 13211 24409 25221 38357 39633 73227 92477 100489 115071 145321 268499 277431 301467 380717 435963 703423 805497 1017247 1105379 1142151 1442401 2110269 2665019 3051741 3316137 4187887 4327203 7737653 7995057 10096807 12159169 12563661 15866411 23212959 29315209 30290421 36477507 46066757 47599233 85114183 87945627 111064877 120687289 138200271 174530521 255342549 322467299 333194631 362061867 457241117 523591563 844811023 967401897 1221713647 1327560179 1371723351 1732323601 2534433069 3200687819 3665140941 3982680537 5029652287 5196970803 9292921253 9602063457 12126265207 14603161969 15088956861 19055559611 27878763759 35207566009 36378795621 43809485907 55326175157 57166678833 102222133783 105622698027 133388917277 144945434089 165978525471 209611155721 306666401349 387283226099 400166751831 434836302267 549146581517 628833467163 1014618038623 1161849678297 1467278090047 1594399774979 1647439744551 3043854115869 3844026070619 4401834270141 4783199324937 6040612396687 11160798424853 11532078211857 17538397524769 18121837190061 33482395274559 42284286776809 52615192574307 66446736363557 122768782673383 126852860330427 174079466340889 199340209090671 368306348020149 465127154544899 522238399022667 1218556264386223 1395381463634697 1914874129749779 3655668793158669 5744622389249337 13404118908248453 21063615427247569 40212356724745359 63190846281742707 147445307990732983 442335923972198949
• Sum of all divisors σ(n): 743846104991120768
• Sum of proper divisors (its aliquot sum) s(n): 301510181018921819
• 442335923972198949 is a deficient number, because the sum of its proper divisors (301510181018921819) is less than itself. Its deficiency is 140825742953277130

Bases of 442335923972198949

• Binary: 11000100011011111100010110111100011110000011101001000100101₂
• Hexadecimal: 0x6237E2DE3C1D225
• Base-36: 3CZEZY6DXLWL

Squares and roots of 442335923972198949

• 442335923972198949 squared (442335923972198949²) is 195661069636338968836260650436704601
• 442335923972198949 cubed (442335923972198949³) is 86547920022978758381720148389856440206302327115664349
• The square root of 442335923972198949 is 665083396.2535818327
• The cube root of 442335923972198949 is 761934.0881511169

Scales and comparisons

• 442,335,923,972,198,949 seconds is equal to 14,064,914,147 years, 24 weeks, 2 days, 5 hours, 29 minutes, 9 seconds.
• To count from 1 to 442,335,923,972,198,949 would take you about forty-two billion, one hundred ninety-four million, seven hundred forty-two thousand, four hundred forty-two 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 442335923972198949 cubic inches would be around 63494.5 feet tall.

Recreational maths with 442335923972198949

• 442335923972198949 backwards is 949891279329533244
• The number of decimal digits it has is: 18
• The sum of 442335923972198949's digits is 93
• More coming soon!