468824124132

Names of 468824124132

• Cardinal: 468824124132 can be written as Four hundred sixty-eight billion, eight hundred twenty-four million, one hundred twenty-four thousand, one hundred thirty-two.

Scientific notation

• Scientific notation: 4.68824124132 × 10¹¹

Factors of 468824124132

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 143

Divisors of 468824124132

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 9 12 13 14 18 21 26 28 29 36 39 42 49 52 58 63 78 84 87 89 91 98 116 117 126 147 156 174 178 182 196 203 234 252 261 267 273 294 348 356 364 377 406 441 468 522 534 546 588 609 623 637 754 801 812 819 882 1044 1068 1092 1131 1157 1218 1246 1274 1421 1508 1602 1638 1764 1827 1869 1911 2262 2314 2436 2492 2548 2581 2639 2842 3204 3276 3393 3471 3654 3738 3822 4263 4361 4524 4628 5162 5278 5607 5684 5733 6786 6942 7308 7476 7644 7743 7917 7921 8099 8526 8722 10324 10413 10556 11214 11466 12789 13083 13572 13884 15486 15834 15842 16198 17052 17444 18067 18473 20826 22428 22932 23229 23751 23763 24297 25578 26166 30972 31668 31684 32396 33553 36134 36946 39249 41652 46458 47502 47526 48594 51156 52332 54201 55419 55447 56693 67106 71289 72268 72891 73892 78498 92916 95004 95052 97188 100659 102973 108402 110838 110894 113386 126469 134212 142578 145782 156996 162603 166257 166341 170079 201318 205946 216804 221676 221788 226772 229709 234871 252938 285156 291564 301977 308919 325206 332514 332682 340158 379407 388129 402636 411892 459418 469742 499023 505876 510237 603954 617838 650412 665028 665364 680316 689127 704613 704969 720811 758814 776258 918836 926757 939484 998046 1020474 1138221 1164387 1207908 1235676 1378254 1409226 1409938 1441622 1517628 1552516 1607963 1644097 1853514 1996092 2040948 2067381 2113839 2114907 2162433 2276442 2328774 2756508 2818452 2819876 2883244 2986217 3215926 3288194 3493161 3707028 4134762 4227678 4229814 4324866 4552884 4657548 4823889 4932291 4934783 5045677 5972434 6344721 6431852 6487299 6576388 6986322 8269524 8455356 8459628 8649732 8958651 9164597 9647778 9864582 9869566 10091354 11255741 11944868 12689442 12974598 13972644 14471667 14796873 14804349 15137031 17917302 18329194 19295556 19729164 19739132 20182708 20444101 20903519 22511482 25378884 25949196 26875953 27493791 28943334 29593746 29608698 30274062 33767223 34543481 35834604 36658388 40888202 41807038 44413047 45022964 45411093 53751906 54987582 57886668 59187492 59217396 60548124 61332303 62710557 64152179 67534446 69086962 81776404 82481373 83614076 88826094 90822186 101301669 103630443 107503812 109975164 122664606 125421114 128304358 135068892 138173924 143108707 146324633 164962746 177652188 181644372 183996909 188131671 192456537 202603338 207260886 245329212 250842228 256608716 265773313 286217414 292649266 310891329 329925492 367993818 376263342 384913074 405206676 414521772 429326121 438973899 449065253 531546626 572434828 577369611 585298532 621782658 735987636 752526684 769826148 797319939 858652242 877947798 898130506 1001760949 1063093252 1154739222 1243565316 1287978363 1316921697 1347195759 1594639878 1717304484 1755895596 1796261012 1860413191 2003521898 2309478444 2391959817 2575956726 2633843394 2694391518 3005282847 3189279756 3720826382 4007043796 4041587277 4783919634 5151913452 5267686788 5388783036 5581239573 6010565694 7441652764 8083174554 9015848541 9567839268 11162479146 12021131388 13022892337 16166349108 16743718719 18031697082 22324958292 26045784674 33487437438 36063394164 39068677011 52091569348 66974874876 78137354022 117206031033 156274708044 234412062066 468824124132
• Sum of all divisors σ(n): 1553255449200
• Sum of proper divisors (its aliquot sum) s(n): 1084431325068
• 468824124132 is an abundant number, because the sum of its proper divisors (1084431325068) is greater than itself. Its abundance is 615607200936

Bases of 468824124132

• Binary: 110110100101000000110000110101011100100₂
• Hexadecimal: 0x6D28186AE4
• Base-36: 5ZDHS1D0

Squares and roots of 468824124132

• 468824124132 squared (468824124132²) is 219796059368136944753424
• 468824124132 cubed (468824124132³) is 103045695020931876472654479508027968
• The square root of 468824124132 is 684707.3273538119
• The cube root of 468824124132 is 7768.4907027037

Scales and comparisons

• 468,824,124,132 seconds is equal to 14,907 years, 8 weeks, 1 day, 3 hours, 22 minutes, 12 seconds.
• To count from 1 to 468,824,124,132 would take you about twenty-nine thousand, eight hundred fourteen 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 468824124132 cubic inches would be around 647.4 feet tall.

Recreational maths with 468824124132

• 468824124132 backwards is 231421428864
• The number of decimal digits it has is: 12
• The sum of 468824124132's digits is 45
• More coming soon!