434943221004

Names of 434943221004

• Cardinal: 434943221004 can be written as Four hundred thirty-four billion, nine hundred forty-three million, two hundred twenty-one thousand and four.

Scientific notation

• Scientific notation: 4.34943221004 × 10¹¹

Factors of 434943221004

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 270

Divisors of 434943221004

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 9 12 18 31 36 41 43 53 62 82 86 93 97 106 123 124 129 159 164 172 186 194 212 246 258 279 291 318 369 372 387 388 477 492 516 558 582 636 738 774 873 954 1116 1164 1271 1333 1476 1548 1643 1746 1763 1849 1908 2173 2279 2542 2666 3007 3286 3492 3526 3698 3813 3977 3999 4171 4346 4558 4929 5084 5141 5289 5332 5547 6014 6519 6572 6837 7052 7396 7626 7954 7998 8342 8692 9021 9116 9858 10282 10578 11094 11439 11931 11997 12028 12513 13038 13674 14787 15252 15423 15867 15908 15996 16641 16684 18042 19557 19716 20511 20564 21156 22188 22878 23862 23994 25026 26076 27063 27348 29574 30846 31734 33282 35793 36084 37539 39114 41022 45756 46269 47724 47988 50052 54126 54653 57319 59148 61692 63468 66564 67363 70649 71586 75078 75809 78228 82044 92538 93439 97997 108252 109306 114638 123287 129301 134726 141298 143172 150156 151618 159371 163959 171011 171957 179353 185076 186878 195994 202089 210781 211947 218612 221063 227427 229276 246574 258602 269452 280317 282596 293991 303236 318742 327918 342022 343914 358706 369861 373756 387903 391988 404178 421562 423894 442126 454854 478113 491877 493148 513033 515871 517204 538059 560634 587982 606267 632343 635841 637484 655836 663189 682281 684044 687828 717412 739722 775806 808356 840951 843124 847788 881973 884252 909708 956226 983754 1026066 1031742 1076118 1109583 1121268 1163709 1175964 1212534 1264686 1271682 1326378 1364562 1434339 1479444 1539099 1551612 1614177 1681902 1763946 1897029 1912452 1967508 1989567 2052132 2063484 2152236 2219166 2327418 2350079 2425068 2529372 2543364 2652756 2729124 2868678 2896609 3037907 3078198 3228354 3363804 3527892 3794058 3979134 4017877 4438332 4654836 4700158 5301341 5559943 5737356 5793218 6075814 6156396 6456708 6534211 6852953 7050237 7353473 7588116 7958268 8035754 8689827 9063583 9113721 9400316 9505709 10602682 11119886 11586436 12053631 12151628 13068422 13705906 14100474 14706946 15904023 16071508 16679829 17379654 18127166 18227442 19011418 19602633 20558859 21150711 21205364 22060419 22239772 24107262 26069481 26136844 27190749 27341163 27411812 28200948 28517127 29413892 31808046 33359658 34759308 36160893 36254332 36454884 38022836 39205266 41117718 42301422 44120838 47712069 48214524 50039487 52138962 54381498 54682326 57034254 58807899 61676577 63616092 66181257 66719316 72321786 78410532 81572247 82235436 84602844 85551381 88241676 95424138 100078974 104277924 108762996 109364652 114068508 117615798 123353154 124554187 132362514 144643572 163144494 171102762 190848276 200157948 227957663 235231596 246706308 249108374 264725028 280971073 294676979 326288988 342205524 373662561 389734069 455915326 498216748 561942146 589353958 683872989 747325122 779468138 842913219 884030937 911830652 1120987683 1123884292 1169202207 1178707916 1367745978 1494650244 1558936276 1685826438 1768061874 2051618967 2241975366 2338404414 2528739657 2652092811 2735491956 3371652876 3507606621 3536123748 4103237934 4483950732 4676808828 5057479314 5304185622 7015213242 8206475868 10114958628 10608371244 12081756139 14030426484 24163512278 36245268417 48327024556 72490536834 108735805251 144981073668 217471610502 434943221004
• Sum of all divisors σ(n): 1225211629824
• Sum of proper divisors (its aliquot sum) s(n): 790268408820
• 434943221004 is an abundant number, because the sum of its proper divisors (790268408820) is greater than itself. Its abundance is 355325187816

Bases of 434943221004

• Binary: 110010101000100101000101101110100001100₂
• Hexadecimal: 0x6544A2DD0C
• Base-36: 5JT5YP70

Squares and roots of 434943221004

• 434943221004 squared (434943221004²) is 189175605497334386768016
• 434943221004 cubed (434943221004³) is 82280647190392627516929996366608064
• The square root of 434943221004 is 659502.2524631739
• The cube root of 434943221004 is 7576.6551717425

Scales and comparisons

• 434,943,221,004 seconds is equal to 13,829 years, 44 weeks, 1 day, 1 hour, 23 minutes, 24 seconds.
• To count from 1 to 434,943,221,004 would take you about twenty-seven thousand, six hundred fifty-nine 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 434943221004 cubic inches would be around 631.4 feet tall.

Recreational maths with 434943221004

• 434943221004 backwards is 400122349434
• 434943221004 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 434943221004's digits is 36
• More coming soon!