468538307328

Names of 468538307328

• Cardinal: 468538307328 can be written as Four hundred sixty-eight billion, five hundred thirty-eight million, three hundred seven thousand, three hundred twenty-eight.

Scientific notation

• Scientific notation: 4.68538307328 × 10¹¹

Factors of 468538307328

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 423

Divisors of 468538307328

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 32 38 39 42 48 49 52 56 57 64 76 78 84 91 96 98 104 112 114 128 133 147 152 156 168 182 192 196 208 224 228 247 256 266 273 294 304 312 336 343 361 364 379 384 392 399 416 448 456 494 532 546 588 608 624 637 672 686 722 728 741 758 768 784 798 832 896 912 931 988 1029 1064 1083 1092 1137 1176 1216 1248 1274 1344 1372 1444 1456 1482 1516 1568 1596 1664 1729 1792 1824 1862 1911 1976 2058 2128 2166 2184 2274 2352 2432 2496 2527 2548 2653 2688 2744 2793 2888 2912 2964 3032 3136 3192 3328 3458 3648 3724 3822 3952 4116 4256 4332 4368 4459 4548 4693 4704 4864 4927 4992 5054 5096 5187 5306 5376 5488 5586 5776 5824 5928 6064 6272 6384 6517 6916 7201 7296 7448 7581 7644 7904 7959 8232 8512 8664 8736 8918 9096 9386 9408 9854 9984 10108 10192 10374 10612 10976 11172 11552 11648 11856 12103 12128 12544 12768 13034 13377 13832 14079 14402 14592 14781 14896 15162 15288 15808 15918 16464 17024 17328 17472 17689 17836 18192 18571 18772 18816 19551 19708 20216 20384 20748 21224 21603 21952 22344 23104 23296 23712 24206 24256 25536 26068 26754 27664 28158 28804 29562 29792 30324 30576 31616 31836 32851 32928 34048 34489 34656 34944 35378 35672 36309 36384 37142 37544 37632 39102 39416 40432 40768 41496 42448 43206 43904 44688 46208 47424 48412 48512 50407 51072 52136 53067 53508 55328 55713 56316 57608 59124 59584 60648 61152 63232 63672 65702 65856 68978 69312 69888 70756 71344 72618 72768 74284 75088 78204 78832 80864 81536 82992 84721 84896 86412 87808 89376 92416 93613 94848 96824 97024 98553 100814 102144 103467 104272 106134 107016 110656 111426 112632 115216 118248 119168 121296 122304 123823 127344 129997 131404 131712 136819 137956 138624 141512 142688 145236 145536 148568 150176 151221 156408 157664 161728 163072 165984 169442 169792 172824 178752 187226 189696 193648 197106 201628 206934 208544 212268 214032 221312 222852 225264 229957 230432 236496 238336 241423 242592 244608 247646 254163 254688 259994 262808 263424 273638 275912 277248 280839 283024 285376 290472 291072 297136 300352 302442 312816 315328 323456 331968 338884 339584 345648 352849 357504 371469 374452 387296 389991 394212 403256 410457 413868 417088 424536 428064 442624 445704 450528 459914 460864 472992 482846 485184 489216 495292 508326 509376 519988 525616 547276 551824 561678 566048 570752 580944 594272 600704 604884 625632 630656 646912 655291 663936 677768 679168 689871 691296 705698 715008 724269 742938 748904 774592 779982 788424 806512 820914 827736 834176 849072 856128 891408 901056 919828 921728 945984 957733 965692 970368 990584 1016652 1018752 1039976 1051232 1058547 1094552 1103648 1123356 1132096 1141504 1161888 1188544 1201408 1209768 1251264 1261312 1310582 1327872 1355536 1379742 1382592 1411396 1448538 1485876 1497808 1549184 1559964 1576848 1609699 1613024 1641828 1655472 1668352 1689961 1698144 1712256 1778647 1782816 1802112 1839656 1843456 1891968 1915466 1931384 1940736 1965873 1981168 2033304 2037504 2079952 2102464 2117094 2189104 2207296 2246712 2264192 2323776 2377088 2419536 2469943 2502528 2621164 2711072 2759484 2765184 2822792 2873199 2897076 2971752 2995616 3098368 3119928 3153696 3219398 3226048 3283656 3310944 3379922 3396288 3424512 3557294 3565632 3604224 3679312 3783936 3830932 3862768 3931746 3962336 4066608 4159904 4204928 4234188 4378208 4414592 4493424 4528384 4587037 4647552 4754176 4829097 4839072 4939886 5005056 5069883 5242328 5335941 5422144 5518968 5530368 5645584 5746398 5794152 5943504 5991232 6239856 6307392 6438796 6452096 6567312 6621888 6704131 6759844 6792576 7114588 7131264 7358624 7409829 7661864 7725536 7863492 7924672 8133216 8319808 8409856 8468376 8756416 8829184 8986848 9174074 9295104 9658194 9678144 9879772 10139766 10484656 10671882 10844288 11037936 11291168 11492796 11588304 11887008 11982464 12450529 12479712 12614784 12877592 12904192 13134624 13243776 13408262 13519688 13585152 13761111 14229176 14262528 14717248 14819658 15323728 15451072 15726984 15849344 16266432 16639616 16936752 17512832 17973696 18348148 19316388 19356288 19759544 20112393 20279532 20969312 21343764 21688576 22075872 22582336 22985592 23176608 23774016 23964928 24901058 24959424 25229568 25755184 26269248 26487552 26816524 27039376 27522222 28458352 29434496 29639316 30647456 30902144 31453968 31698688 32109259 32532864 33279232 33873504 35025664 35947392 36696296 37351587 38632776 38712576 39519088 40224786 40559064 41938624 42687528 44151744 45164672 45971184 46353216 46928917 47548032 49802116 49918848 51510368 52538496 53633048 54078752 55044444 56916704 58868992 59278632 61294912 61804288 62907936 64218518 65065728 67747008 71894784 73392592 74703174 77265552 79038176 80449572 81118128 83877248 85375056 87153703 88303488 90329344 91942368 92706432 93857834 95096064 96327777 99604232 99837696 103020736 105076992 107266096 108157504 110088888 113833408 118557264 122589824 125815872 128437036 135494016 140786751 146785184 149406348 154531104 158076352 160899144 162236256 167754496 170750112 174307406 176606976 183884736 185412864 187715668 192655554 199208464 206041472 214532192 216315008 220177776 227666816 237114528 245179648 251631744 256874072 261461109 270988032 281573502 293570368 298812696 309062208 316152704 321798288 324472512 341500224 348614812 367769472 375431336 385311108 398416928 412082944 429064384 432630016 440355552 455333632 474229056 503263488 513748144 522922218 563147004 587140736 597625392 610075921 618124416 632305408 643596576 648945024 683000448 697229624 735538944 750862672 770622216 796833856 858128768 880711104 948458112 1027496288 1045844436 1126294008 1174281472 1195250784 1220151842 1236248832 1287193152 1297890048 1366000896 1394459248 1501725344 1541244432 1593667712 1716257536 1761422208 1830227763 1896916224 2054992576 2091688872 2252588016 2390501568 2440303684 2574386304 2788918496 3003450688 3082488864 3187335424 3522844416 3660455526 4109985152 4183377744 4505176032 4781003136 4880607368 5148772608 5577836992 6006901376 6164977728 7320911052 8219970304 8366755488 9010352064 9562006272 9761214736 11155673984 12013802752 12329955456 14641822104 16733510976 18020704128 19522429472 22311347968 24659910912 29283644208 33467021952 36041408256 39044858944 58567288416 66934043904 78089717888 117134576832 156179435776 234269153664 468538307328
• Sum of all divisors σ(n): 1657209792000
• Sum of proper divisors (its aliquot sum) s(n): 1188671484672
• 468538307328 is an abundant number, because the sum of its proper divisors (1188671484672) is greater than itself. Its abundance is 720133177344

Bases of 468538307328

• Binary: 110110100010111000011110011001100000000₂
• Hexadecimal: 0x6D170F3300
• Base-36: 5Z8RLZPC

Squares and roots of 468538307328

• 468538307328 squared (468538307328²) is 219528145433787378499584
• 468538307328 cubed (468538307328³) is 102857345672401750622445547712151552
• The square root of 468538307328 is 684498.5809539711
• The cube root of 468538307328 is 7766.9117050685

Scales and comparisons

• 468,538,307,328 seconds is equal to 14,898 years, 3 weeks, 4 days, 1 hour, 48 minutes, 48 seconds.
• To count from 1 to 468,538,307,328 would take you about twenty-nine thousand, seven hundred ninety-six 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 468538307328 cubic inches would be around 647.2 feet tall.

Recreational maths with 468538307328

• 468538307328 backwards is 823703835864
• 468538307328 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 468538307328's digits is 57
• More coming soon!