40904394121216000

Names of 40904394121216000

• Cardinal: 40904394121216000 can be written as Forty quadrillion, nine hundred four trillion, three hundred ninety-four billion, one hundred twenty-one million, two hundred sixteen thousand.

Scientific notation

• Scientific notation: 4.0904394121216 × 10¹⁶

Factors of 40904394121216000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 3307

Divisors of 40904394121216000

• Number of divisors d(n): 408
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 797 800 1000 1024 1280 1594 1600 2000 2048 2503 2560 3188 3200 3985 4000 4096 5006 5120 6376 6400 7970 8000 8192 10012 10240 12515 12752 12800 15940 16000 16384 19925 20024 20480 25030 25504 25600 31880 32000 32768 39850 40048 40960 50060 51008 51200 62575 63760 64000 65536 79700 80096 81920 99625 100120 102016 102400 125150 127520 128000 159400 160192 163840 199250 200240 204032 204800 250300 255040 256000 312875 318800 320384 327680 398500 400480 408064 409600 500600 510080 512000 625750 637600 640768 797000 800960 816128 819200 1001200 1020160 1024000 1251500 1275200 1281536 1594000 1601920 1632256 1638400 1994891 2002400 2040320 2048000 2503000 2550400 2563072 3188000 3203840 3264512 3989782 4004800 4080640 4096000 5006000 5100800 5126144 6265009 6376000 6407680 6529024 7979564 8009600 8161280 8192000 9974455 10012000 10201600 10252288 12530018 12752000 12815360 13058048 15959128 16019200 16322560 19948910 20024000 20403200 20504576 25060036 25504000 25630720 26116096 31325045 31918256 32038400 32645120 39897820 40048000 40806400 41009152 49872275 50120072 51008000 51261440 52232192 62650090 63836512 64076800 65290240 79795640 80096000 81612800 82018304 99744550 100240144 102016000 102522880 125300180 127673024 128153600 130580480 156625225 159591280 160192000 163225600 164036608 199489100 200480288 204032000 205045760 249361375 250600360 255346048 256307200 261160960 313250450 319182560 320384000 326451200 398978200 400960576 408064000 410091520 498722750 501200720 510692096 512614400 626500900 638365120 640768000 652902400 783126125 797956400 801921152 816128000 820183040 997445500 1002401440 1021384192 1025228800 1253001800 1276730240 1281536000 1305804800 1566252250 1595912800 1603842304 1632256000 1994891000 2004802880 2042768384 2050457600 2506003600 2553460480 2563072000 3132504500 3191825600 3207684608 3264512000 3989782000 4009605760 4085536768 4100915200 4993212173 5012007200 5106920960 5126144000 6265009000 6383651200 6415369216 6529024000 7979564000 8019211520 8171073536 9986424346 10024014400 10213841920 10252288000 12530018000 12767302400 12830738432 15959128000 16038423040 16342147072 19972848692 20048028800 20427683840 20504576000 24966060865 25060036000 25534604800 25661476864 31918256000 32076846080 32684294144 39945697384 40096057600 40855367680 49932121730 50120072000 51069209600 51322953728 63836512000 64153692160 65368588288 79891394768 80192115200 81710735360 99864243460 100240144000 102138419200 102645907456 124830304325 127673024000 128307384320 130737176576 159782789536 160384230400 163421470720 199728486920 200480288000 204276838400 205291814912 249660608650 255346048000 256614768640 319565579072 320768460800 326842941440 399456973840 400960576000 408553676800 410583629824 499321217300 510692096000 513229537280 624151521625 639131158144 641536921600 653685882880 798913947680 801921152000 817107353600 998642434600 1021384192000 1026459074560 1248303043250 1278262316288 1283073843200 1597827895360 1603842304000 1634214707200 1997284869200 2042768384000 2052918149120 2496606086500 2556524632576 2566147686400 3195655790720 3207684608000 3268429414400 3994569738400 4085536768000 4993212173000 5113049265152 5132295372800 6391311581440 6415369216000 7989139476800 8171073536000 9986424346000 10226098530304 10264590745600 12782623162880 12830738432000 15978278953600 16342147072000 19972848692000 20452197060608 25565246325760 25661476864000 31956557907200 39945697384000 40904394121216 51130492651520 51322953728000 63913115814400 79891394768000 81808788242432 102260985303040 127826231628800 159782789536000 163617576484864 204521970606080 255652463257600 319565579072000 327235152969728 409043941212160 511304926515200 639131158144000 818087882424320 1022609853030400 1278262316288000 1636175764848640 2045219706060800 2556524632576000 4090439412121600 5113049265152000 8180878824243200 10226098530304000 20452197060608000 40904394121216000
• Sum of all divisors σ(n): 102265547084306424
• Sum of proper divisors (its aliquot sum) s(n): 61361152963090424
• 40904394121216000 is an abundant number, because the sum of its proper divisors (61361152963090424) is greater than itself. Its abundance is 20456758841874424

Bases of 40904394121216000

• Binary: 10010001010100100101010001101001010110010000000000000000₂
• Hexadecimal: 0x91525469590000
• Base-36: B6REB8RM29S

Squares and roots of 40904394121216000

• 40904394121216000 squared (40904394121216000²) is 1673169458423770060901318656000000
• 40904394121216000 cubed (40904394121216000³) is 68439982958947418608807245126788706205696000000000
• The square root of 40904394121216000 is 202248347.6353169121
• The cube root of 40904394121216000 is 344553.4911773529

Scales and comparisons

• 40,904,394,121,216,000 seconds is equal to 1,300,633,207 years, 23 weeks, 5 days, 1 hour, 46 minutes, 40 seconds.
• To count from 1 to 40,904,394,121,216,000 would take you about three billion, nine hundred one million, eight hundred ninety-nine thousand, six hundred twenty-two 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 40904394121216000 cubic inches would be around 28712.8 feet tall.

Recreational maths with 40904394121216000

• 40904394121216000 backwards is 00061212149340904
• The number of decimal digits it has is: 17
• The sum of 40904394121216000's digits is 46
• More coming soon!