468906988032

Names of 468906988032

• Cardinal: 468906988032 can be written as Four hundred sixty-eight billion, nine hundred six million, nine hundred eighty-eight thousand and thirty-two.

Scientific notation

• Scientific notation: 4.68906988032 × 10¹¹

Factors of 468906988032

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 2204

Divisors of 468906988032

• Number of divisors d(n): 540
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 49 56 62 63 64 72 84 93 96 98 112 124 126 128 144 147 168 186 192 196 217 224 248 252 256 279 288 294 336 372 384 392 434 441 448 496 504 512 558 576 588 651 672 744 768 784 868 882 896 961 992 1008 1116 1152 1176 1302 1344 1488 1519 1536 1568 1736 1764 1792 1922 1953 1984 2016 2161 2232 2304 2352 2604 2688 2883 2976 3038 3136 3472 3528 3584 3844 3906 3968 4032 4322 4464 4557 4608 4704 5208 5376 5766 5952 6076 6272 6483 6727 6944 7056 7688 7812 7936 8064 8644 8649 8928 9114 9408 10416 10752 11532 11904 12152 12544 12966 13454 13671 13888 14112 15127 15376 15624 15872 16128 17288 17298 17856 18228 18816 19449 20181 20832 23064 23808 24304 25088 25932 26908 27342 27776 28224 30254 30752 31248 32256 34576 34596 35712 36456 37632 38898 40362 41664 45381 46128 47089 47616 48608 51864 53816 54684 55552 56448 60508 60543 61504 62496 66991 69152 69192 71424 72912 75264 77796 80724 83328 90762 92256 94178 97216 103728 105889 107632 109368 111104 112896 121016 121086 123008 124992 133982 136143 138304 138384 141267 142848 145824 155592 161448 166656 181524 184512 188356 194432 200973 207456 211778 215264 218736 225792 242032 242172 246016 249984 267964 272286 276608 276768 282534 291648 311184 317667 322896 333312 363048 369024 376712 388864 401946 414912 423556 423801 430528 437472 468937 484064 484344 492032 499968 535928 544572 553216 553536 565068 583296 602919 622368 635334 645792 726096 738048 753424 777728 803892 829824 847112 847602 861056 874944 937874 953001 968128 968688 999936 1071856 1089144 1106432 1107072 1130136 1166592 1205838 1244736 1270668 1291584 1406811 1452192 1476096 1506848 1607784 1659648 1694224 1695204 1722112 1749888 1875748 1906002 1936256 1937376 2076721 2143712 2178288 2214144 2260272 2333184 2411676 2489472 2541336 2583168 2813622 2904384 3013696 3215568 3282559 3319296 3388448 3390408 3444224 3499776 3751496 3812004 3872512 3874752 4153442 4220433 4287424 4356576 4428288 4520544 4823352 4978944 5082672 5166336 5627244 5808768 6027392 6230163 6431136 6565118 6776896 6780816 6999552 7502992 7624008 7745024 7749504 8306884 8440866 8574848 8713152 9041088 9646704 9847677 9957888 10165344 10332672 11254488 11617536 12054784 12460326 12862272 13130236 13553792 13561632 14537047 15005984 15248016 15499008 16613768 16881732 17149696 17426304 18082176 18690489 19293408 19695354 20330688 22508976 23235072 24109568 24920652 25724544 26260472 27107584 27123264 29074094 29543031 30011968 30496032 30998016 33227536 33763464 34299392 34852608 36164352 37380978 38586816 39390708 40661376 43611141 45017952 49841304 51449088 52520944 54215168 54246528 58148188 59086062 60023936 60992064 66455072 67526928 69705216 72328704 74761956 77173632 78781416 81322752 87222282 90035904 99682608 101759329 102898176 105041888 108493056 116296376 118172124 120047872 121984128 130833423 132910144 135053856 149523912 154347264 157562832 162645504 174444564 180071808 199365216 203518658 210083776 216986112 232592752 236344248 240095744 243968256 261666846 265820288 270107712 299047824 305277987 308694528 315125664 348889128 360143616 398730432 407037316 420167552 465185504 472688496 487936512 523333692 531640576 540215424 598095648 610555974 630251328 697778256 720287232 797460864 814074632 840335104 915833961 930371008 945376992 1046667384 1063281152 1080430848 1196191296 1221111948 1260502656 1395556512 1594921728 1628149264 1680670208 1831667922 1860742016 1890753984 2093334768 2160861696 2392382592 2442223896 2521005312 2791113024 3189843456 3256298528 3663335844 3721484032 3781507968 4186669536 4784765184 4884447792 5042010624 5582226048 6512597056 7326671688 7442968064 7563015936 8373339072 9569530368 9768895584 11164452096 13025194112 14653343376 15126031872 16746678144 19537791168 22328904192 26050388224 29306686752 33493356288 39075582336 52100776448 58613373504 66986712576 78151164672 117226747008 156302329344 234453494016 468906988032
• Sum of all divisors σ(n): 1627416743238
• Sum of proper divisors (its aliquot sum) s(n): 1158509755206
• 468906988032 is an abundant number, because the sum of its proper divisors (1158509755206) is greater than itself. Its abundance is 689602767174

Bases of 468906988032

• Binary: 110110100101101000010001101001000000000₂
• Hexadecimal: 0x6D2D08D200
• Base-36: 5ZEV43K0

Squares and roots of 468906988032

• 468906988032 squared (468906988032²) is 219873763425242191233024
• 468906988032 cubed (468906988032³) is 103100344154990839491205040091168768
• The square root of 468906988032 is 684767.8351324629
• The cube root of 468906988032 is 7768.9483650987

Scales and comparisons

• 468,906,988,032 seconds is equal to 14,909 years, 41 weeks, 1 day, 5 hours, 7 minutes, 12 seconds.
• To count from 1 to 468,906,988,032 would take you about twenty-nine thousand, eight hundred nineteen 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 468906988032 cubic inches would be around 647.4 feet tall.

Recreational maths with 468906988032

• 468906988032 backwards is 230889609864
• 468906988032 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 468906988032's digits is 63
• More coming soon!