409442978470997012

Names of 409442978470997012

• Cardinal: 409442978470997012 can be written as Four hundred nine quadrillion, four hundred forty-two trillion, nine hundred seventy-eight billion, four hundred seventy million, nine hundred ninety-seven thousand and twelve.

Scientific notation

• Scientific notation: 4.09442978470997012 × 10¹⁷

Factors of 409442978470997012

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 6136

Divisors of 409442978470997012

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 17 19 31 34 38 62 68 76 124 289 323 527 578 589 646 961 1054 1156 1178 1292 1922 2108 2356 3844 4913 5491 6067 8959 9826 10013 10982 12134 16337 17918 18259 19652 20026 21964 24268 29791 32674 35836 36518 40052 59582 65348 73036 93347 103139 115273 119164 152303 170221 186694 188077 206278 230546 277729 304606 310403 340442 373388 376154 412556 461092 506447 555458 566029 609212 620806 680884 752308 1012894 1110916 1132058 1241612 1753363 1959641 2025788 2264116 2893757 3197309 3506726 3573463 3919282 4721393 5276851 5787514 5830387 6394618 7013452 7146926 7838564 8609599 9442786 9622493 10553702 11575028 11660774 12789236 14293852 17219198 18885572 19244986 21107404 23321548 29807171 33313897 34438396 36808489 38489972 54354253 59614342 60748871 66627794 73616978 89706467 99116579 108708506 110777353 119228684 121497742 133255588 146363183 147233956 163582381 179412934 180741997 198233158 217417012 221554706 242995484 292726366 327164762 358825868 361483994 396466316 443109412 566336249 585452732 625744313 654329524 699361291 722967988 924022301 1032730807 1132672498 1141063159 1251488626 1398722582 1684981843 1848044602 1883215001 2065461614 2265344996 2282126318 2502977252 2780900477 2797445164 3072613949 3369963686 3434097943 3696089204 3766430002 4130923228 4564252636 5561800954 6145227898 6739927372 6868195886 7532860004 10637653321 11123601908 11889141947 12290455796 13736391772 17556423719 19398073703 21275306642 21680200021 23778283894 28644691331 32014655017 35112847438 35372957929 38796147406 42550613284 43360400042 47556567788 52234437133 57289382662 58379665031 64029310034 70225694876 70745915858 77592294812 86720800084 104468874266 114578765324 116759330062 128058620068 141491831716 180840106457 202115413099 208937748532 233518660124 329767252951 361680212914 368563400357 404230826198 544249135289 601340284793 659534505902 672086200651 723360425828 737126800714 808461652396 887985431261 992454305527 1088498270578 1096561695799 1202680569586 1319069011804 1344172401302 1474253601428 1775970862522 1984908611054 2176996541156 2193123391598 2405361139172 2688344802604 3435962022683 3551941725044 3969817222108 4386246783196 5606043300167 6265577806069 6871924045366 10222784841481 11212086600334 11425465411067 12531155612138 13743848090732 16871723193959 18641548828583 20445569682962 20834672220181 22424173200668 22850930822134 25062311224276 33743446387918 37283097657166 40891139365924 41669344440362 45701861644268 67486892775836 74566195314332 83338688880724 106514822703173 173787342305177 194232911988139 213029645406346 316906330085911 347574684610354 354189427743077 388465823976278 426059290812692 633812660171822 695149369220708 708378855486154 776931647952556 1267625320343644 1416757710972308 3301959503798363 5387407611460487 6021220271632309 6603919007596726 10774815222920974 12042440543264618 13207838015193452 21549630445841948 24084881086529236 102360744617749253 204721489235498506 409442978470997012
• Sum of all divisors σ(n): 828215145020390400
• Sum of proper divisors (its aliquot sum) s(n): 418772166549393388
• 409442978470997012 is an abundant number, because the sum of its proper divisors (418772166549393388) is greater than itself. Its abundance is 9329188078396376

Bases of 409442978470997012

• Binary: 10110101110101000100011100000110111100010101010110000010100₂
• Hexadecimal: 0x5AEA238378AAC14
• Base-36: 33ZJF7MD7BPW

Squares and roots of 409442978470997012

• 409442978470997012 squared (409442978470997012²) is 167643552619201322666601657312928144
• 409442978470997012 cubed (409442978470997012³) is 68640475505865101898860880512358029968009936794705728
• The square root of 409442978470997012 is 639877315.1714295709
• The cube root of 409442978470997012 is 742559.3015904723

Scales and comparisons

• 409,442,978,470,997,012 seconds is equal to 13,019,020,225 years, 4 weeks, 4 days, 20 hours, 3 minutes, 32 seconds.
• To count from 1 to 409,442,978,470,997,012 would take you about thirty-nine billion, fifty-seven million, sixty thousand, six hundred seventy-five 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 409442978470997012 cubic inches would be around 61879.9 feet tall.

Recreational maths with 409442978470997012

• 409442978470997012 backwards is 210799074879244904
• The number of decimal digits it has is: 18
• The sum of 409442978470997012's digits is 86
• More coming soon!