668408448000

Names of 668408448000

• Cardinal: 668408448000 can be written as Six hundred sixty-eight billion, four hundred eight million, four hundred forty-eight thousand.

Scientific notation

• Scientific notation: 6.68408448 × 10¹¹

Factors of 668408448000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 363

Divisors of 668408448000

• Number of divisors d(n): 1056
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 25 30 32 34 38 40 48 50 51 57 60 64 68 75 76 80 85 95 96 100 102 114 120 125 128 136 150 152 160 170 190 192 200 204 228 240 250 255 256 272 285 289 300 304 317 320 323 340 375 380 384 400 408 425 456 475 480 500 510 512 544 570 578 600 608 634 640 646 680 750 760 768 800 816 850 867 912 950 951 960 969 1000 1020 1024 1088 1140 1156 1200 1216 1268 1275 1280 1292 1360 1425 1445 1500 1520 1536 1585 1600 1615 1632 1700 1734 1824 1900 1902 1920 1938 2000 2040 2125 2176 2280 2312 2375 2400 2432 2536 2550 2560 2584 2720 2850 2890 3000 3040 3072 3170 3200 3230 3264 3400 3468 3648 3800 3804 3840 3876 4000 4080 4250 4335 4352 4560 4624 4750 4755 4800 4845 4864 5072 5100 5120 5168 5389 5440 5491 5700 5780 6000 6023 6080 6340 6375 6400 6460 6528 6800 6936 7125 7225 7296 7600 7608 7680 7752 7925 8000 8075 8160 8500 8670 8704 9120 9248 9500 9510 9600 9690 9728 10144 10200 10336 10778 10880 10982 11400 11560 12000 12046 12160 12680 12750 12800 12920 13056 13600 13872 14250 14450 14592 15200 15216 15360 15504 15850 16000 16150 16167 16320 16473 17000 17340 17408 18069 18240 18496 19000 19020 19200 19380 19456 20288 20400 20672 21556 21675 21760 21964 22800 23120 23775 24000 24092 24225 24320 25360 25500 25600 25840 26112 26945 27200 27455 27744 28500 28900 29184 30115 30400 30432 31008 31700 32000 32300 32334 32640 32946 34000 34680 36125 36138 36480 36992 38000 38040 38400 38760 39625 40375 40576 40800 41344 43112 43350 43520 43928 45600 46240 47550 48000 48184 48450 48640 50720 51000 51680 52224 53890 54400 54910 55488 57000 57800 58368 60230 60800 60864 62016 63400 64000 64600 64668 65280 65892 68000 69360 72250 72276 72960 73984 76000 76080 76800 77520 79250 80750 80835 81152 81600 82365 82688 86224 86700 87040 87856 90345 91200 91613 92480 95100 96000 96368 96900 97280 101440 102000 102391 103360 107780 108375 108800 109820 110976 114000 115600 118875 120460 121125 121600 121728 124032 126800 128000 129200 129336 130560 131784 134725 136000 137275 138720 144500 144552 145920 147968 150575 152000 152160 155040 158500 161500 161670 162304 163200 164730 165376 172448 173400 175712 180690 182400 183226 184960 190200 192000 192736 193800 202880 204000 204782 206720 215560 216750 217600 219640 221952 228000 231200 237750 240920 242250 243200 243456 248064 253600 258400 258672 261120 263568 269450 272000 274550 274839 277440 289000 289104 291840 295936 301150 304000 304320 307173 310080 317000 323000 323340 324608 326400 329460 330752 344896 346800 351424 361380 364800 366452 369920 380400 384000 385472 387600 404175 405760 408000 409564 411825 413440 431120 433500 435200 439280 443904 451725 456000 458065 462400 475500 481840 484500 486400 486912 496128 507200 511955 516800 517344 527136 538900 544000 549100 549678 554880 578000 578208 602300 608000 608640 614346 620160 634000 646000 646680 652800 658920 673625 686375 689792 693600 702848 722760 729600 732904 739840 752875 760800 770944 775200 808350 811520 816000 819128 823650 826880 862240 867000 878560 887808 903450 912000 916130 924800 951000 963680 969000 973824 992256 1014400 1023910 1033600 1034688 1054272 1077800 1088000 1098200 1099356 1109760 1156000 1156416 1204600 1216000 1217280 1228692 1240320 1268000 1292000 1293360 1305600 1317840 1347250 1372750 1374195 1379584 1387200 1405696 1445520 1459200 1465808 1479680 1505750 1521600 1535865 1541888 1550400 1616700 1623040 1632000 1638256 1647300 1653760 1724480 1734000 1740647 1757120 1806900 1824000 1832260 1849600 1902000 1927360 1938000 2020875 2028800 2047820 2059125 2067200 2069376 2108544 2155600 2176000 2196400 2198712 2219520 2258625 2290325 2312000 2312832 2409200 2432000 2434560 2457384 2480640 2536000 2559775 2584000 2586720 2635680 2694500 2745500 2748390 2759168 2774400 2811392 2891040 2931616 3011500 3043200 3071730 3083776 3100800 3233400 3264000 3276512 3294600 3448960 3468000 3481294 3514240 3613800 3648000 3664520 3699200 3804000 3854720 3876000 4041750 4057600 4095640 4118250 4134400 4138752 4217088 4311200 4392800 4397424 4439040 4517250 4580650 4624000 4625664 4818400 4869120 4914768 4961280 5072000 5119550 5168000 5173440 5221941 5271360 5389000 5491000 5496780 5518336 5548800 5622784 5782080 5863232 6023000 6086400 6143460 6167552 6201600 6466800 6528000 6553024 6589200 6870975 6897920 6936000 6962588 7028480 7227600 7296000 7329040 7398400 7608000 7679325 7709440 7752000 8083500 8115200 8191280 8236500 8268800 8277504 8434176 8622400 8703235 8785600 8794848 9034500 9161300 9248000 9251328 9636800 9829536 10144000 10239100 10336000 10346880 10443882 10542720 10778000 10982000 10993560 11097600 11451625 11564160 11726464 12046000 12172800 12286920 12403200 12798875 12933600 13106048 13178400 13741950 13795840 13872000 13925176 14056960 14455200 14658080 15216000 15358650 15418880 15504000 16167000 16382560 16473000 16555008 16868352 17244800 17406470 17571200 17589696 18069000 18322600 18496000 18502656 19273600 19659072 20288000 20478200 20672000 20693760 20887764 21085440 21556000 21964000 21987120 22195200 22903250 23128320 23452928 24092000 24345600 24573840 24806400 25597750 25867200 26109705 26212096 26356800 27483900 27591680 27744000 27850352 28113920 28910400 29316160 30432000 30717300 30837760 31008000 32334000 32765120 32946000 34354875 34489600 34812940 35142400 35179392 36138000 36645200 36992000 38396625 38547200 39318144 40576000 40956400 41344000 41387520 41775528 42170880 43112000 43516175 43928000 43974240 45806500 46256640 46905856 48184000 49147680 51195500 51734400 52219410 52424192 52713600 54967800 55488000 55700704 57820800 58632320 60864000 61434600 62016000 64668000 65530240 65892000 68709750 68979200 69625880 70284800 70358784 72276000 73290400 76793250 77094400 78636288 81912800 82775040 83551056 84341760 86224000 87032350 87856000 87948480 91613000 92513280 93811712 96368000 98295360 102391000 103468800 104438820 104848384 105427200 109935600 110976000 111401408 115641600 117264640 121728000 122869200 124032000 129336000 130548525 131060480 131784000 137419500 137958400 139251760 140569600 140717568 144552000 146580800 153586500 154188800 157272576 163825600 167102112 172448000 174064700 175712000 175896960 183226000 192736000 196590720 204782000 206937600 208877640 210854400 217580875 219871200 222802816 231283200 234529280 245738400 258672000 261097050 262120960 263568000 274839000 278503520 281435136 289104000 293161600 307173000 314545152 327651200 334204224 344896000 348129400 351424000 351793920 366452000 385472000 393181440 409564000 413875200 417755280 421708800 435161750 439742400 445605632 462566400 469058560 491476800 517344000 522194100 524241920 527136000 549678000 557007040 578208000 586323200 614346000 652742625 655302400 668408448 689792000 696258800 702848000 703587840 732904000 770944000 786362880 819128000 835510560 870323500 879484800 891211264 982953600 1034688000 1044388200 1054272000 1099356000 1114014080 1156416000 1172646400 1228692000 1305485250 1310604800 1336816896 1392517600 1407175680 1465808000 1572725760 1638256000 1671021120 1740647000 1758969600 1782422528 1965907200 2069376000 2088776400 2108544000 2198712000 2228028160 2312832000 2345292800 2457384000 2610970500 2621209600 2673633792 2785035200 2931616000 3276512000 3342042240 3481294000 3517939200 3931814400 4177552800 4397424000 4456056320 4914768000 5221941000 5347267584 5570070400 5863232000 6553024000 6684084480 6962588000 7035878400 7863628800 8355105600 8794848000 8912112640 9829536000 10443882000 11140140800 11726464000 13106048000 13368168960 13925176000 16710211200 17589696000 19659072000 20887764000 22280281600 26736337920 27850352000 33420422400 35179392000 39318144000 41775528000 44560563200 55700704000 66840844800 83551056000 111401408000 133681689600 167102112000 222802816000 334204224000 668408448000
• Sum of all divisors σ(n): 2494008466560
• Sum of proper divisors (its aliquot sum) s(n): 1825600018560
• 668408448000 is an abundant number, because the sum of its proper divisors (1825600018560) is greater than itself. Its abundance is 1157191570560

Bases of 668408448000

• Binary: 1001101110100000001111111000010000000000₂
• Hexadecimal: 0x9BA03F8400
• Base-36: 8J294R9C

Squares and roots of 668408448000

• 668408448000 squared (668408448000²) is 446769853357768704000000
• 668408448000 cubed (668408448000³) is 298624744296053768183611392000000000
• The square root of 668408448000 is 817562.5040325663
• The cube root of 668408448000 is 8743.4059620207

Scales and comparisons

• 668,408,448,000 seconds is equal to 21,253 years, 16 weeks, 4 days, 21 hours, 20 minutes.
• To count from 1 to 668,408,448,000 would take you about forty-two thousand, five hundred 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 668408448000 cubic inches would be around 728.6 feet tall.

Recreational maths with 668408448000

• 668408448000 backwards is 000844804866
• 668408448000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 668408448000's digits is 48
• More coming soon!