468860864000

Names of 468860864000

• Cardinal: 468860864000 can be written as Four hundred sixty-eight billion, eight hundred sixty million, eight hundred sixty-four thousand.

Scientific notation

• Scientific notation: 4.68860864 × 10¹¹

Factors of 468860864000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 348

Divisors of 468860864000

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 29 31 32 40 50 58 62 64 80 100 116 124 125 128 145 155 160 200 232 248 250 256 281 290 310 320 400 464 496 500 512 562 580 620 640 725 775 800 841 899 928 992 1000 1124 1160 1240 1280 1405 1450 1550 1600 1682 1798 1856 1984 2000 2248 2320 2480 2560 2810 2900 3100 3200 3364 3596 3625 3712 3875 3968 4000 4205 4495 4496 4640 4960 5620 5800 6200 6400 6728 7025 7192 7250 7424 7750 7936 8000 8149 8410 8711 8990 8992 9280 9920 11240 11600 12400 12800 13456 14050 14384 14500 14848 15500 15872 16000 16298 16820 17422 17980 17984 18560 19840 21025 22475 22480 23200 24800 26071 26912 28100 28768 29000 31000 32000 32596 33640 34844 35125 35960 35968 37120 39680 40745 42050 43555 44950 44960 46400 49600 52142 53824 56200 57536 58000 62000 64000 65192 67280 69688 70250 71920 71936 74240 79360 81490 84100 87110 89900 89920 92800 99200 104284 105125 107648 112375 112400 115072 116000 124000 130355 130384 134560 139376 140500 143840 143872 162980 168200 174220 179800 179840 185600 198400 203725 208568 210250 215296 217775 224750 224800 230144 232000 236321 248000 252619 260710 260768 269120 278752 281000 287680 325960 336400 348440 359600 359680 371200 396800 407450 417136 420500 430592 435550 449500 449600 460288 464000 472642 496000 505238 521420 521536 538240 557504 562000 575360 651775 651920 672800 696880 719200 719360 814900 834272 841000 871100 899000 899200 928000 945284 992000 1010476 1018625 1042840 1043072 1076480 1088875 1115008 1124000 1150720 1181605 1263095 1303550 1303840 1345600 1393760 1438400 1629800 1668544 1682000 1742200 1798000 1798400 1856000 1890568 1984000 2020952 2037250 2085680 2086144 2152960 2177750 2230016 2248000 2301440 2363210 2526190 2607100 2607680 2691200 2787520 2876800 3258875 3259600 3337088 3364000 3484400 3596000 3596800 3781136 4041904 4074500 4171360 4172288 4355500 4460032 4496000 4726420 5052380 5214200 5215360 5382400 5575040 5753600 5908025 6315475 6517750 6519200 6674176 6728000 6968800 7192000 7325951 7562272 8083808 8149000 8342720 8711000 8992000 9452840 10104760 10428400 10430720 10764800 11150080 11507200 11816050 12630950 13035500 13038400 13348352 13456000 13937600 14384000 14651902 15124544 16167616 16298000 16685440 17422000 17984000 18905680 20209520 20856800 20861440 22300160 23632100 25261900 26071000 26076800 26912000 27875200 28768000 29303804 29540125 30249088 31577375 32335232 32596000 33370880 34844000 36629755 37811360 40419040 41713600 47264200 50523800 52142000 52153600 53824000 55750400 57536000 58607608 59080250 60498176 63154750 64670464 65192000 66741760 69688000 73259510 75622720 80838080 83427200 94528400 101047600 104284000 104307200 111500800 117215216 118160500 120996352 126309500 129340928 130384000 139376000 146519020 151245440 161676160 166854400 183148775 189056800 202095200 208568000 234430432 236321000 252619000 260768000 278752000 293038040 302490880 323352320 333708800 366297550 378113600 404190400 417136000 468860864 472642000 505238000 521536000 557504000 586076080 604981760 646704640 732595100 756227200 808380800 834272000 915743875 937721728 945284000 1010476000 1172152160 1465190200 1512454400 1616761600 1668544000 1831487750 1875443456 1890568000 2020952000 2344304320 2930380400 3024908800 3233523200 3662975500 3750886912 3781136000 4041904000 4688608640 5860760800 7325951000 7562272000 8083808000 9377217280 11721521600 14651902000 15124544000 16167616000 18754434560 23443043200 29303804000 46886086400 58607608000 93772172800 117215216000 234430432000 468860864000
• Sum of all divisors σ(n): 1254346359552
• Sum of proper divisors (its aliquot sum) s(n): 785485495552
• 468860864000 is an abundant number, because the sum of its proper divisors (785485495552) is greater than itself. Its abundance is 316624631552

Bases of 468860864000

• Binary: 110110100101010010010010000011000000000₂
• Hexadecimal: 0x6D2A490600
• Base-36: 5ZE3NI0W

Squares and roots of 468860864000

• 468860864000 squared (468860864000²) is 219830509790826496000000
• 468860864000 cubed (468860864000³) is 103069922754087370188652544000000000
• The square root of 468860864000 is 684734.1557130037
• The cube root of 468860864000 is 7768.6936258987

Scales and comparisons

• 468,860,864,000 seconds is equal to 14,908 years, 16 weeks, 6 days, 8 hours, 53 minutes, 20 seconds.
• To count from 1 to 468,860,864,000 would take you about twenty-nine thousand, eight hundred sixteen 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 468860864000 cubic inches would be around 647.4 feet tall.

Recreational maths with 468860864000

• 468860864000 backwards is 000468068864
• 468860864000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 468860864000's digits is 50
• More coming soon!