468209664000

Names of 468209664000

• Cardinal: 468209664000 can be written as Four hundred sixty-eight billion, two hundred nine million, six hundred sixty-four thousand.

Scientific notation

• Scientific notation: 4.68209664 × 10¹¹

Factors of 468209664000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 1000

Divisors of 468209664000

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 125 128 130 144 150 156 160 180 192 195 200 208 225 234 240 250 256 260 288 300 312 320 325 360 375 384 390 400 416 450 468 480 500 512 520 576 585 600 624 640 650 720 750 768 780 800 832 900 936 960 975 977 1000 1024 1040 1125 1152 1170 1200 1248 1280 1300 1440 1500 1536 1560 1600 1625 1664 1800 1872 1920 1950 1954 2000 2048 2080 2250 2304 2340 2400 2496 2560 2600 2880 2925 2931 3000 3072 3120 3200 3250 3328 3600 3744 3840 3900 3908 4000 4096 4160 4500 4608 4680 4800 4875 4885 4992 5120 5200 5760 5850 5862 6000 6144 6240 6400 6500 6656 7200 7488 7680 7800 7816 8000 8192 8320 8793 9000 9216 9360 9600 9750 9770 9984 10240 10400 11520 11700 11724 12000 12288 12480 12701 12800 13000 13312 14400 14625 14655 14976 15360 15600 15632 16000 16384 16640 17586 18000 18432 18720 19200 19500 19540 19968 20480 20800 23040 23400 23448 24000 24425 24576 24960 25402 25600 26000 26624 28800 29250 29310 29952 30720 31200 31264 32000 32768 33280 35172 36000 36864 37440 38103 38400 39000 39080 39936 40960 41600 43965 46080 46800 46896 48000 48850 49152 49920 50804 51200 52000 53248 57600 58500 58620 59904 61440 62400 62528 63505 64000 66560 70344 72000 73275 73728 74880 76206 76800 78000 78160 79872 81920 83200 87930 92160 93600 93792 96000 97700 98304 99840 101608 102400 104000 106496 114309 115200 117000 117240 119808 122125 122880 124800 125056 127010 128000 133120 140688 144000 146550 147456 149760 152412 153600 156000 156320 159744 163840 166400 175860 184320 187200 187584 190515 192000 195400 199680 203216 204800 208000 212992 219825 228618 230400 234000 234480 239616 244250 245760 249600 250112 254020 256000 266240 281376 288000 293100 294912 299520 304824 307200 312000 312640 317525 319488 332800 351720 366375 368640 374400 375168 381030 384000 390800 399360 406432 409600 416000 425984 439650 457236 460800 468000 468960 479232 488500 491520 499200 500224 508040 512000 532480 562752 571545 576000 586200 599040 609648 614400 624000 625280 635050 638976 665600 703440 732750 737280 748800 750336 762060 768000 781600 798720 812864 819200 832000 879300 914472 921600 936000 937920 952575 958464 977000 998400 1000448 1016080 1024000 1064960 1099125 1125504 1143090 1152000 1172400 1198080 1219296 1228800 1248000 1250560 1270100 1277952 1331200 1406880 1465500 1474560 1497600 1500672 1524120 1536000 1563200 1587625 1597440 1625728 1664000 1758600 1828944 1843200 1872000 1875840 1905150 1916928 1954000 1996800 2000896 2032160 2048000 2129920 2198250 2251008 2286180 2304000 2344800 2396160 2438592 2457600 2496000 2501120 2540200 2662400 2813760 2857725 2931000 2995200 3001344 3048240 3072000 3126400 3175250 3194880 3251456 3328000 3517200 3657888 3686400 3744000 3751680 3810300 3833856 3908000 3993600 4001792 4064320 4096000 4396500 4502016 4572360 4608000 4689600 4762875 4792320 4877184 4992000 5002240 5080400 5324800 5627520 5715450 5862000 5990400 6002688 6096480 6144000 6252800 6350500 6389760 6502912 6656000 7034400 7315776 7372800 7488000 7503360 7620600 7816000 7987200 8003584 8128640 8793000 9004032 9144720 9216000 9379200 9525750 9584640 9754368 9984000 10004480 10160800 10649600 11255040 11430900 11724000 11980800 12005376 12192960 12288000 12505600 12701000 13005824 13312000 14068800 14288625 14631552 14976000 15006720 15241200 15632000 15974400 16007168 16257280 17586000 18008064 18289440 18432000 18758400 19051500 19169280 19508736 19968000 20008960 20321600 22510080 22861800 23448000 23961600 24010752 24385920 25011200 25402000 26011648 26624000 28137600 28577250 29263104 29952000 30013440 30482400 31264000 31948800 32014336 32514560 35172000 36016128 36578880 36864000 37516800 38103000 39017472 39936000 40017920 40643200 45020160 45723600 46896000 47923200 48021504 48771840 50022400 50804000 52023296 53248000 56275200 57154500 58526208 59904000 60026880 60964800 62528000 65029120 70344000 72032256 73157760 75033600 76206000 78034944 79872000 80035840 81286400 90040320 91447200 93792000 95846400 96043008 97543680 100044800 101608000 104046592 112550400 114309000 117052416 119808000 120053760 121929600 125056000 130058240 140688000 144064512 146315520 150067200 152412000 156069888 159744000 160071680 162572800 180080640 182894400 187584000 195087360 200089600 203216000 208093184 225100800 228618000 234104832 239616000 240107520 243859200 250112000 260116480 281376000 288129024 292631040 300134400 304824000 312139776 325145600 360161280 365788800 375168000 390174720 400179200 406432000 416186368 450201600 457236000 468209664 479232000 480215040 487718400 500224000 520232960 562752000 585262080 600268800 609648000 624279552 650291200 720322560 731577600 750336000 780349440 800358400 812864000 900403200 914472000 936419328 975436800 1000448000 1040465920 1125504000 1170524160 1200537600 1219296000 1248559104 1300582400 1440645120 1463155200 1500672000 1560698880 1625728000 1800806400 1828944000 1872838656 1950873600 2000896000 2080931840 2251008000 2341048320 2401075200 2438592000 2601164800 2926310400 3001344000 3121397760 3251456000 3601612800 3657888000 3745677312 3901747200 4001792000 4502016000 4682096640 4877184000 5202329600 5852620800 6002688000 6242795520 6502912000 7203225600 7315776000 7803494400 9004032000 9364193280 9754368000 10404659200 11705241600 12005376000 13005824000 14631552000 15606988800 18008064000 18728386560 19508736000 23410483200 26011648000 29263104000 31213977600 36016128000 39017472000 46820966400 52023296000 58526208000 78034944000 93641932800 117052416000 156069888000 234104832000 468209664000
• Sum of all divisors σ(n): 1819734986160
• Sum of proper divisors (its aliquot sum) s(n): 1351525322160
• 468209664000 is an abundant number, because the sum of its proper divisors (1351525322160) is greater than itself. Its abundance is 883315658160

Bases of 468209664000

• Binary: 110110100000011011110001000000000000000₂
• Hexadecimal: 0x6D03788000
• Base-36: 5Z3BY0W0

Squares and roots of 468209664000

• 468209664000 squared (468209664000²) is 219220289462992896000000
• 468209664000 cubed (468209664000³) is 102641058071450644270546944000000000
• The square root of 468209664000 is 684258.4774776269
• The cube root of 468209664000 is 7765.0953180143

Scales and comparisons

• 468,209,664,000 seconds is equal to 14,887 years, 32 weeks, 1 day, 8 hours.
• To count from 1 to 468,209,664,000 would take you about twenty-nine thousand, seven hundred seventy-five 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 468209664000 cubic inches would be around 647.1 feet tall.

Recreational maths with 468209664000

• 468209664000 backwards is 000466902864
• 468209664000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 468209664000's digits is 45
• More coming soon!