428200820838400000

Names of 428200820838400000

• Cardinal: 428200820838400000 can be written as Four hundred twenty-eight quadrillion, two hundred trillion, eight hundred twenty billion, eight hundred thirty-eight million, four hundred thousand.

Scientific notation

• Scientific notation: 4.282008208384 × 10¹⁷

Factors of 428200820838400000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 3345

Divisors of 428200820838400000

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 109 125 128 160 200 218 250 256 320 400 436 500 512 545 625 640 800 872 1000 1024 1090 1250 1280 1600 1744 2000 2048 2180 2500 2560 2725 3125 3200 3229 3488 4000 4096 4360 5000 5120 5450 6250 6400 6458 6976 8000 8192 8720 10000 10240 10900 11881 12500 12800 12916 13625 13952 16000 16145 16384 17440 20000 20480 21800 23762 25000 25600 25832 27250 27904 32000 32290 32768 34880 40000 40960 43600 47524 50000 51200 51664 54500 55808 59405 64000 64580 68125 69760 80000 80725 81920 87200 95048 100000 102400 103328 109000 111616 118810 128000 129160 136250 139520 160000 161450 163840 174400 190096 200000 204800 206656 218000 223232 237620 256000 258320 272500 279040 297025 320000 322900 340625 348800 351961 380192 400000 403625 409600 413312 436000 446464 475240 512000 516640 545000 558080 594050 640000 645800 681250 697600 703922 760384 800000 807250 819200 826624 872000 892928 950480 1024000 1033280 1090000 1116160 1188100 1280000 1291600 1295029 1362500 1395200 1407844 1485125 1520768 1600000 1614500 1653248 1744000 1759805 1785856 1900960 2018125 2048000 2066560 2180000 2232320 2376200 2560000 2583200 2590058 2725000 2790400 2815688 2970250 3041536 3200000 3229000 3306496 3488000 3519610 3571712 3801920 4036250 4096000 4133120 4360000 4464640 4752400 5120000 5166400 5180116 5450000 5580800 5631376 5940500 6083072 6400000 6458000 6475145 6612992 6976000 7039220 7425625 7603840 8072500 8266240 8720000 8799025 8929280 9504800 10090625 10240000 10332800 10360232 10900000 11161600 11262752 11881000 12166144 12800000 12916000 12950290 13225984 13952000 14078440 14851250 15207680 16145000 16532480 17440000 17598050 17858560 19009600 20181250 20480000 20665600 20720464 21800000 22323200 22525504 23762000 24332288 25600000 25832000 25900580 26451968 27904000 28156880 29702500 30415360 32290000 32375725 33064960 34880000 35196100 37128125 38019200 38363749 40362500 41331200 41440928 43600000 43995125 44646400 45051008 47524000 48664576 51200000 51664000 51801160 52903936 55808000 56313760 59405000 60830720 64580000 64751450 66129920 69760000 70392200 74256250 76038400 76727498 80725000 82662400 82881856 87200000 87990250 89292800 90102016 95048000 97329152 102400000 103328000 103602320 105807872 111616000 112627520 118810000 121661440 129160000 129502900 132259840 139520000 140784400 148512500 152076800 153454996 161450000 161878625 165324800 165763712 174400000 175980500 180204032 190096000 191818745 194658304 206656000 207204640 219975625 223232000 225255040 237620000 243322880 258320000 259005800 264519680 279040000 281568800 297025000 304153600 306909992 322900000 323757250 330649600 331527424 348800000 351961000 360408064 380192000 383637490 389316608 413312000 414409280 439951250 446464000 450510080 475240000 486645760 516640000 518011600 529039360 558080000 563137600 594050000 608307200 613819984 645800000 647514500 661299200 663054848 697600000 703922000 720816128 760384000 767274980 809393125 826624000 828818560 879902500 901020160 950480000 959093725 973291520 1033280000 1036023200 1099878125 1116160000 1126275200 1188100000 1216614400 1227639968 1291600000 1295029000 1322598400 1326109696 1395200000 1407844000 1441632256 1520768000 1534549960 1618786250 1653248000 1657637120 1759805000 1802040320 1900960000 1918187450 1946583040 2066560000 2072046400 2199756250 2232320000 2252550400 2376200000 2433228800 2455279936 2583200000 2590058000 2645196800 2652219392 2790400000 2815688000 2883264512 3041536000 3069099920 3237572500 3306496000 3315274240 3519610000 3604080640 3801920000 3836374900 4046965625 4133120000 4144092800 4181648641 4399512500 4505100800 4752400000 4795468625 4866457600 4910559872 5166400000 5180116000 5304438784 5580800000 5631376000 5766529024 6083072000 6138199840 6475145000 6612992000 6630548480 7039220000 7208161280 7603840000 7672749800 8093931250 8266240000 8288185600 8363297282 8799025000 9010201600 9504800000 9590937250 9732915200 9821119744 10332800000 10360232000 10608877568 11161600000 11262752000 11533058048 12166144000 12276399680 12950290000 13225984000 13261096960 14078440000 14416322560 15207680000 15345499600 16187862500 16532480000 16576371200 16726594564 17598050000 18020403200 19009600000 19181874500 19642239488 20665600000 20720464000 20908243205 21217755136 22525504000 23977343125 24332288000 24552799360 25900580000 26522193920 28156880000 28832645120 30415360000 30690999200 32375725000 33064960000 33152742400 33453189128 35196100000 36040806400 38019200000 38363749000 39284478976 41331200000 41440928000 41816486410 42435510272 45051008000 47954686250 48664576000 49105598720 51801160000 53044387840 56313760000 57665290240 60830720000 61381998400 64751450000 66129920000 66305484800 66906378256 70392200000 72081612800 76038400000 76727498000 78568957952 82662400000 82881856000 83632972820 90102016000 95909372500 98211197440 103602320000 104541216025 106088775680 112627520000 119886715625 121661440000 122763996800 129502900000 132610969600 133812756512 140784400000 144163225600 152076800000 153454996000 157137915904 165324800000 165763712000 167265945640 180204032000 191818745000 196422394880 207204640000 209082432050 212177551360 225255040000 239773431250 243322880000 245527993600 259005800000 265221939200 267625513024 281568800000 288326451200 304153600000 306909992000 314275831808 330649600000 331527424000 334531891280 360408064000 383637490000 392844789760 414409280000 418164864100 450510080000 479546862500 491055987200 518011600000 522706080125 530443878400 535251026048 563137600000 608307200000 613819984000 628551663616 663054848000 669063782560 720816128000 767274980000 785689579520 828818560000 836329728200 901020160000 959093725000 982111974400 1036023200000 1045412160250 1060887756800 1070502052096 1126275200000 1216614400000 1227639968000 1257103327232 1326109696000 1338127565120 1441632256000 1534549960000 1571379159040 1657637120000 1672659456400 1802040320000 1918187450000 1964223948800 2072046400000 2090824320500 2141004104192 2252550400000 2455279936000 2613530400625 2652219392000 2676255130240 3069099920000 3142758318080 3315274240000 3345318912800 3604080640000 3836374900000 3928447897600 4144092800000 4181648641000 4282008208384 4505100800000 4910559872000 5227060801250 5304438784000 5352510260480 6138199840000 6285516636160 6630548480000 6690637825600 7208161280000 7672749800000 7856895795200 8288185600000 8363297282000 8564016416768 9010201600000 9821119744000 10454121602500 10705020520960 12276399680000 13067652003125 13261096960000 13381275651200 15345499600000 15713791590400 16576371200000 16726594564000 17128032833536 18020403200000 19642239488000 20908243205000 21410041041920 24552799360000 26135304006250 26522193920000 26762551302400 30690999200000 31427583180800 33152742400000 33453189128000 34256065667072 36040806400000 39284478976000 41816486410000 42820082083840 49105598720000 52270608012500 53525102604800 61381998400000 66305484800000 66906378256000 68512131334144 78568957952000 83632972820000 85640164167680 98211197440000 104541216025000 107050205209600 122763996800000 132610969600000 133812756512000 137024262668288 157137915904000 167265945640000 171280328335360 196422394880000 209082432050000 214100410419200 245527993600000 267625513024000 334531891280000 342560656670720 392844789760000 418164864100000 428200820838400 491055987200000 535251026048000 669063782560000 685121313341440 785689579520000 836329728200000 856401641676800 982111974400000 1070502052096000 1338127565120000 1672659456400000 1712803283353600 1964223948800000 2141004104192000 2676255130240000 3345318912800000 3425606566707200 3928447897600000 4282008208384000 5352510260480000 6690637825600000 8564016416768000 10705020520960000 13381275651200000 17128032833536000 21410041041920000 26762551302400000 42820082083840000 53525102604800000 85640164167680000 107050205209600000 214100410419200000 428200820838400000
• Sum of all divisors σ(n): 1080663039822366000
• Sum of proper divisors (its aliquot sum) s(n): 652462218983966000
• 428200820838400000 is an abundant number, because the sum of its proper divisors (652462218983966000) is greater than itself. Its abundance is 224261398145566000

Bases of 428200820838400000

• Binary: 10111110001010001100110000010111010100110101000000000000000₂
• Hexadecimal: 0x5F14660BA9A8000
• Base-36: 3948ITFXM874

Squares and roots of 428200820838400000

• 428200820838400000 squared (428200820838400000²) is 183355942966679535678914560000000000
• 428200820838400000 cubed (428200820838400000³) is 78513165283931032438194594015141167104000000000000000
• The square root of 428200820838400000 is 654370553.1565429481
• The cube root of 428200820838400000 is 753730.0527588253

Scales and comparisons

• 428,200,820,838,400,000 seconds is equal to 13,615,461,590 years, 28 weeks, 6 days, 23 hours, 6 minutes, 40 seconds.
• To count from 1 to 428,200,820,838,400,000 would take you about forty billion, eight hundred forty-six million, three hundred eighty-four thousand, seven hundred seventy-one 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 428200820838400000 cubic inches would be around 62810.8 feet tall.

Recreational maths with 428200820838400000

• 428200820838400000 backwards is 000004838028002824
• The number of decimal digits it has is: 18
• The sum of 428200820838400000's digits is 49
• More coming soon!