668917142400

Names of 668917142400

• Cardinal: 668917142400 can be written as Six hundred sixty-eight billion, nine hundred seventeen million, one hundred forty-two thousand, four hundred.

Scientific notation

• Scientific notation: 6.689171424 × 10¹¹

Factors of 668917142400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 426

Divisors of 668917142400

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 60 64 65 68 75 78 79 80 85 96 100 102 104 120 128 130 136 150 156 158 160 169 170 192 195 200 204 208 221 237 240 255 260 272 300 307 312 316 320 325 338 340 384 390 395 400 408 416 425 442 474 480 507 510 520 544 600 614 624 632 640 650 663 676 680 780 790 800 816 832 845 850 884 921 948 960 975 1014 1020 1027 1040 1088 1105 1185 1200 1228 1248 1264 1275 1300 1326 1343 1352 1360 1535 1560 1580 1600 1632 1664 1690 1700 1768 1842 1896 1920 1950 1975 2028 2040 2054 2080 2176 2210 2370 2400 2456 2496 2528 2535 2550 2600 2652 2686 2704 2720 2873 3070 3081 3120 3160 3200 3264 3315 3380 3400 3536 3684 3792 3900 3950 3991 4029 4056 4080 4108 4160 4225 4420 4605 4740 4800 4912 4992 5056 5070 5100 5135 5200 5219 5304 5372 5408 5440 5525 5746 5925 6140 6162 6240 6320 6528 6630 6715 6760 6800 7072 7368 7584 7675 7800 7900 7982 8058 8112 8160 8216 8320 8450 8619 8840 9210 9480 9600 9824 10112 10140 10200 10270 10400 10438 10608 10744 10816 10880 11050 11492 11850 11973 12280 12324 12480 12640 12675 13260 13351 13430 13520 13600 14144 14365 14736 15168 15350 15405 15600 15657 15800 15964 16116 16224 16320 16432 16575 16900 17238 17459 17680 18420 18960 19648 19955 20145 20280 20400 20540 20800 20876 21216 21488 21632 22100 22984 23025 23700 23946 24253 24560 24648 24960 25280 25350 25675 26095 26520 26702 26860 27040 27200 28288 28730 29472 30336 30700 30810 31200 31314 31600 31928 32232 32448 32640 32864 33150 33575 33800 34476 34918 35360 36840 37920 39296 39910 40053 40290 40560 40800 41080 41600 41752 42432 42976 43095 44200 45968 46050 47400 47892 48506 49120 49296 50560 50700 51350 51883 52190 52377 53040 53404 53720 54080 54400 57460 58944 59865 61400 61620 62400 62628 63200 63856 64464 64896 65728 66300 66755 67150 67600 67847 68952 69836 70720 71825 72759 73680 75840 77025 78285 79820 80106 80580 81120 81600 82160 83504 84864 85952 86190 87295 88400 91936 92100 94800 95784 97012 98240 98592 99775 100725 101400 102700 103766 104380 104754 106080 106808 107440 108160 114920 117888 119730 121265 122800 123240 124800 125256 126400 127712 128928 130475 131456 132600 133510 134300 135200 135694 137904 139672 141440 143650 145518 147360 151680 154050 155649 156570 159640 160212 161160 162240 163200 164320 167008 171904 172380 174590 176800 183872 184200 189600 191568 194024 196480 197184 199550 200265 201450 202800 203541 205400 207532 208760 209508 212160 213616 214880 215475 226967 229840 239460 242530 245600 246480 250512 252800 255424 257856 259415 260950 261885 265200 267020 268600 270400 271388 275808 279344 287300 291036 294720 299325 308100 311298 313140 315289 319280 320424 322320 324480 328640 333775 334016 339235 344760 349180 353600 363795 367744 368400 379200 383136 388048 391425 394368 399100 400530 402900 405600 407082 410800 412301 415064 417520 419016 424320 427232 429760 430950 436475 453934 459680 478920 485060 491200 492960 501024 510848 515712 518830 521900 523770 530400 534040 537200 540800 542776 551616 558688 574600 582072 589440 598650 606325 616200 622596 626280 630578 638560 640848 644640 657280 667550 668032 678470 680901 689520 698360 707200 727590 736800 758400 766272 776096 778245 782850 798200 801060 805800 811200 814164 821600 824602 830128 835040 838032 854464 859520 861900 872950 882011 907868 919360 945867 957840 970120 982400 985920 1001325 1002048 1017705 1037660 1043800 1047540 1060800 1068080 1074400 1085552 1103232 1117376 1134835 1149200 1164144 1197300 1212650 1232400 1236903 1245192 1252560 1261156 1277120 1281696 1289280 1297075 1309425 1335100 1356940 1361802 1379040 1396720 1455180 1473600 1532544 1552192 1556490 1565700 1576445 1596400 1602120 1611600 1622400 1628328 1643200 1649204 1660256 1670080 1676064 1696175 1708928 1723800 1745900 1764022 1815736 1818975 1838720 1891734 1915680 1940240 1971840 2002650 2004096 2035410 2061505 2075320 2087600 2095080 2121600 2136160 2148800 2171104 2234752 2269670 2298400 2328288 2394600 2425300 2464800 2473806 2490384 2505120 2522312 2554240 2563392 2578560 2594150 2618850 2646033 2670200 2713880 2723604 2758080 2793440 2910360 2947200 3104384 3112980 3131400 3152890 3192800 3204240 3223200 3256656 3286400 3298408 3320512 3340160 3352128 3392350 3404505 3447600 3491800 3528044 3631472 3637950 3783468 3831360 3880480 3891225 4005300 4070820 4098757 4123010 4150640 4175200 4190160 4272320 4297600 4342208 4410055 4539340 4596800 4656576 4729335 4789200 4850600 4929600 4947612 4980768 5010240 5044624 5088525 5126784 5188300 5237700 5292066 5340400 5359913 5427760 5447208 5516160 5586880 5674175 5820720 6184515 6225960 6262800 6305780 6385600 6408480 6446400 6513312 6596816 6641024 6704256 6784700 6809010 6895200 6983600 7056088 7262944 7275900 7566936 7662720 7760960 7782450 7882225 8010600 8141640 8197514 8246020 8301280 8350400 8380320 8544640 8684416 8820110 9078680 9193600 9313152 9458670 9578400 9701200 9859200 9895224 9961536 10020480 10089248 10177050 10307525 10376600 10475400 10584132 10680800 10719826 10855520 10894416 11173760 11348350 11641440 12296271 12369030 12451920 12525600 12611560 12771200 12816960 12892800 13026624 13193632 13230165 13569400 13618020 13790400 13967200 14112176 14525888 14551800 15133872 15521920 15564900 15764450 16021200 16079739 16283280 16395028 16492040 16602560 16700800 16760640 17022525 17640220 18157360 18917340 19156800 19402400 19790448 19923072 20178496 20354100 20493785 20615050 20753200 20950800 21168264 21361600 21439652 21711040 21788832 22050275 22696700 23282880 23646675 24592542 24738060 24903840 25051200 25223120 25633920 26053248 26387264 26460330 26799565 27138800 27236040 27580800 27934400 28224352 29051776 29103600 30267744 30922575 31129800 31528900 32042400 32159478 32566560 32790056 32984080 33205120 33521280 34045050 35280440 36314720 37834680 38313600 38804800 39580896 40356992 40708200 40987570 41230100 41506400 41901600 42336528 42723200 42879304 43422080 43577664 44100550 45393400 46565760 47293350 49185084 49476120 49807680 50102400 50446240 52774528 52920660 53599130 54277600 54472080 55868800 56448704 58207200 60535488 61481355 61845150 62259600 63057800 64084800 64318956 65133120 65580112 65968160 66150825 68090100 69678869 70560880 72629440 75669360 77609600 79161792 80398695 81416400 81975140 82460200 83012800 83803200 84673056 85758608 87155328 88201100 90786800 94586700 98370168 98952240 99615360 100892480 102468925 105841320 107198260 108555200 108944160 112897408 116414400 121070976 122962710 123690300 124519200 126115600 128169600 128637912 130266240 131160224 131936320 132301650 133997825 136180200 139357738 141121760 145258880 151338720 158323584 160797390 162832800 163950280 164920400 166025600 167606400 169346112 171517216 176402200 181573600 189173400 196740336 197904480 201784960 204937850 209036607 211682640 214396520 217110400 217888320 232828800 245925420 247380600 249038400 252231200 257275824 262320448 263872640 264603300 267995650 272360400 278715476 282243520 302677440 307406775 321594780 325665600 327900560 329840800 338692224 343034432 348394345 352804400 363147200 378346800 393480672 395808960 401993475 409875700 418073214 423365280 428793040 435776640 491850840 494761200 498076800 504462400 514551648 524640896 529206600 535991300 544720800 557430952 564487040 605354880 614813550 643189560 651331200 655801120 659681600 686068864 696788690 705608800 726294400 756693600 786961344 791617920 803986950 819751400 836146428 846730560 857586080 983701680 989522400 1008924800 1029103296 1045183035 1058413200 1071982600 1089441600 1114861904 1229627100 1286379120 1311602240 1319363200 1393577380 1411217600 1513387200 1573922688 1607973900 1639502800 1672292856 1693461120 1715172160 1741971725 1967403360 1979044800 2058206592 2090366070 2116826400 2143965200 2178883200 2229723808 2459254200 2572758240 2623204480 2787154760 2822435200 3026774400 3215947800 3279005600 3344585712 3430344320 3483943450 3934806720 3958089600 4180732140 4233652800 4287930400 4459447616 4918508400 5145516480 5225915175 5574309520 6431895600 6558011200 6689171424 6967886900 7869613440 8361464280 8467305600 8575860800 8918895232 9837016800 10291032960 10451830350 11148619040 12863791200 13116022400 13378342848 13935773800 16722928560 17151721600 19674033600 20903660700 22297238080 25727582400 26756685696 27871547600 33445857120 39348067200 41807321400 44594476160 51455164800 55743095200 66891714240 83614642800 111486190400 133783428480 167229285600 222972380800 334458571200 668917142400
• Sum of all divisors σ(n): 2566410739200
• Sum of proper divisors (its aliquot sum) s(n): 1897493596800
• 668917142400 is an abundant number, because the sum of its proper divisors (1897493596800) is greater than itself. Its abundance is 1228576454400

Bases of 668917142400

• Binary: 1001101110111110100100011001001110000000₂
• Hexadecimal: 0x9BBE919380
• Base-36: 8JANZUDC

Squares and roots of 668917142400

• 668917142400 squared (668917142400²) is 447450143396581877760000
• 668917142400 cubed (668917142400³) is 299307071287311779598845313024000000
• The square root of 668917142400 is 817873.5491504785
• The cube root of 668917142400 is 8745.6234653165

Scales and comparisons

• 668,917,142,400 seconds is equal to 21,269 years, 25 weeks, 5 days, 13 hours, 20 minutes.
• To count from 1 to 668,917,142,400 would take you about forty-two thousand, five hundred thirty-eight 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 668917142400 cubic inches would be around 728.8 feet tall.

Recreational maths with 668917142400

• 668917142400 backwards is 004241719866
• 668917142400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 668917142400's digits is 48
• More coming soon!