442144998706509

Names of 442144998706509

• Cardinal: 442144998706509 can be written as Four hundred forty-two trillion, one hundred forty-four billion, nine hundred ninety-eight million, seven hundred six thousand, five hundred nine.

Scientific notation

• Scientific notation: 4.42144998706509 × 10¹⁴

Factors of 442144998706509

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 398

Divisors of 442144998706509

• Number of divisors d(n): 432
• Complete list of divisors:
  1 3 7 9 17 21 49 51 63 71 89 119 147 153 211 213 267 343 357 441 497 623 633 639 801 833 1029 1071 1207 1477 1491 1513 1869 1899 2499 3087 3479 3587 3621 4361 4431 4473 4539 5041 5607 5831 6319 7497 7921 8449 10339 10437 10591 10761 10863 13083 13293 13617 14981 15123 17493 18779 18957 23763 24353 25109 25347 30527 31017 31311 31773 32283 35287 39249 44233 44943 45369 52479 55447 56337 56871 59143 71289 72373 73059 74137 75327 76041 85697 91581 93051 95319 104867 105861 107423 131453 132699 134657 134829 166341 169011 175763 177429 217119 219177 222411 225981 247009 254677 257091 274743 309631 314601 317583 319243 322269 388129 394359 398097 403971 414001 448649 499023 518959 527289 532287 562391 599879 651357 667233 734069 741027 751961 764031 771273 920171 928893 942599 943803 957729 966807 1063651 1164387 1183077 1211913 1230341 1242003 1333309 1345947 1556877 1581867 1671331 1687173 1729063 1782739 1799637 2167417 2202207 2223081 2234701 2255883 2292093 2716903 2760513 2786679 2827797 2873187 3140543 3190953 3493161 3691023 3726009 3936737 3999927 4037841 4199153 4670631 5013993 5061519 5138483 5187189 5263727 5348217 5398911 6441197 6502251 6598193 6606621 6704103 6767649 7445557 7627033 8150709 8281539 8483391 9333163 9421629 9560647 9572859 11073069 11699317 11810211 11999781 12479173 12597459 15041979 15415449 15561567 15642907 15791181 16044651 18082067 19323591 19506753 19794579 20112309 21983801 22336671 22666253 22881099 24452127 27557159 27999489 28264887 28412627 28681941 29394071 35097951 35430633 36846089 37437519 37792377 39929761 46187351 46246347 46928721 47373543 52118899 53389231 54246201 57970773 59383737 65332141 65951403 66924529 67010013 67998759 68643297 81895219 82671477 83998467 85237881 86045823 87354211 88182213 94664939 105293853 109500349 110538267 112312557 118664501 119789283 126574469 138562053 140786163 153886607 156356697 158663771 160167693 162738603 192900113 195996423 197854209 198888389 200773587 203996277 245685657 248014431 255713643 262062633 264546639 279508327 283994817 328501047 331614801 355993503 359367849 364832293 373724617 379723407 415686159 457324987 461659821 468471703 469070091 475991313 480503079 573266533 578700339 587989269 596665167 602320761 662654573 678805937 737056971 786187899 830651507 838524981 851984451 886021283 985503141 1067980509 1094496879 1110646397 1121173851 1139170221 1371974961 1384979463 1392218723 1405415109 1427973939 1609303963 1719799599 1736101017 1789995501 1956558289 1987963719 2017296517 2036417811 2491954521 2515574943 2616072319 2658063849 3279301921 3283490637 3331939191 3363521553 4115924883 4176656169 4216245327 4638582011 4751641559 4827911889 5159398797 5814560549 5869674867 5963891157 6051889551 6109253433 6202148981 7475863563 7774524779 7848216957 7974191547 8425179571 9745531061 9837905763 9995817573 11265127741 12529968507 13695908023 13915746033 14121075619 14254924677 14483735667 17443681647 17609024601 18155668653 18606446943 23323574337 23544650871 25275538713 29236593183 29513717289 32470074077 33261490913 33795383223 40701923843 41087724069 41747238099 42363226857 42764774031 52331044941 55819340829 58976256997 69970723011 75826616139 78855894187 87709779549 97410222231 98847529333 99784472739 101386149669 122105771529 123263172207 127089680571 143228052707 176928770991 232830436391 236567682561 292230666693 296542587999 299353418217 366317314587 412833798979 429684158121 530786312973 551991259309 691932705331 698491309173 709703047683 889627763997 1002596368949 1238501396937 1289052474363 1655973777927 2075798115993 2095473927519 2889836592853 3007789106847 3715504190811 4967921333781 6227394347979 7018174582643 8669509778559 9023367320541 21054523747929 26008529335677 49127222078501 63163571243787 147381666235503 442144998706509
• Sum of all divisors σ(n): 812782293897600
• Sum of proper divisors (its aliquot sum) s(n): 370637295191091
• 442144998706509 is a deficient number, because the sum of its proper divisors (370637295191091) is less than itself. Its deficiency is 71507703515418

Bases of 442144998706509

• Binary: 1100100100010000011100111100101100100110101001101₂
• Hexadecimal: 0x19220E7964D4D
• Base-36: 4CQ6LWDU19

Squares and roots of 442144998706509

• 442144998706509 squared (442144998706509²) is 195492199881178845283118967081
• 442144998706509 cubed (442144998706509³) is 86435898463596419431198729935921909151430229
• The square root of 442144998706509 is 21027244.2014285123
• The cube root of 442144998706509 is 76182.4447946749

Scales and comparisons

• 442,144,998,706,509 seconds is equal to 14,058,843 years, 16 weeks, 2 days, 12 hours, 15 minutes, 9 seconds.
• To count from 1 to 442,144,998,706,509 would take you about thirty-five million, one hundred forty-seven thousand, one hundred eight 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 442144998706509 cubic inches would be around 6348.5 feet tall.

Recreational maths with 442144998706509

• 442144998706509 backwards is 905607899441244
• The number of decimal digits it has is: 15
• The sum of 442144998706509's digits is 72
• More coming soon!