42288227330003136000

Names of 42288227330003136000

• Cardinal: 42288227330003136000 can be written as Forty-two quintillion, two hundred eighty-eight quadrillion, two hundred twenty-seven trillion, three hundred thirty billion, three million, one hundred thirty-six thousand.

Scientific notation

• Scientific notation: 4.2288227330003136 × 10¹⁹

Factors of 42288227330003136000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 29043

Divisors of 42288227330003136000

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 125 128 135 144 150 160 180 192 200 216 225 240 250 256 270 288 300 320 360 375 384 400 432 450 480 500 512 540 576 600 640 675 720 750 768 800 864 900 960 1000 1080 1125 1152 1200 1280 1350 1440 1500 1536 1600 1728 1800 1920 2000 2160 2250 2304 2400 2560 2700 2880 3000 3200 3375 3456 3600 3840 4000 4320 4500 4608 4800 5400 5760 6000 6400 6750 6912 7200 7680 8000 8640 9000 9600 10800 11520 12000 12800 13500 13824 14400 16000 17280 18000 19200 21600 23040 24000 27000 28800 29033 32000 34560 36000 38400 43200 48000 54000 57600 58066 64000 69120 72000 86400 87099 96000 108000 115200 116132 144000 145165 172800 174198 192000 216000 232264 261297 288000 290330 345600 348396 432000 435495 464528 522594 576000 580660 696792 725825 783891 864000 870990 929056 1045188 1161320 1306485 1393584 1451650 1567782 1728000 1741980 1858112 2090376 2177475 2322640 2612970 2787168 2903300 3135564 3483960 3629125 3716224 3919455 4180752 4354950 4645280 5225940 5574336 5806600 6271128 6532425 6967920 7258250 7432448 7838910 8361504 8709900 9290560 10451880 10887375 11148672 11613200 12542256 13064850 13935840 14516500 14864896 15677820 16723008 17419800 18581120 19597275 20903760 21774750 22297344 23226400 25084512 26129700 27871680 29033000 31355640 32662125 33446016 34839600 37162240 39194550 41807520 43549500 44594688 46452800 50169024 52259400 55743360 58066000 62711280 65324250 66892032 69679200 74324480 78389100 83615040 87099000 92905600 97986375 100338048 104518800 111486720 116132000 125422560 130648500 133784064 139358400 156778200 167230080 174198000 185811200 195972750 200676096 209037600 222973440 232264000 250845120 261297000 278716800 313556400 334460160 348396000 371622400 391945500 401352192 418075200 464528000 501690240 522594000 557433600 627112800 668920320 696792000 783891000 836150400 842915089 929056000 1003380480 1045188000 1114867200 1254225600 1393584000 1567782000 1672300800 1685830178 1858112000 2006760960 2090376000 2508451200 2528745267 2787168000 3135564000 3344601600 3371660356 4180752000 4214575445 5016902400 5057490534 5574336000 6271128000 6743320712 7586235801 8361504000 8429150890 10033804800 10114981068 12542256000 12643726335 13486641424 15172471602 16723008000 16858301780 20229962136 21072877225 22758707403 25084512000 25287452670 26973282848 30344943204 33716603560 37931179005 40459924272 42145754450 45517414806 50169024000 50574905340 53946565696 60689886408 63218631675 67433207120 75862358010 80919848544 84291508900 91034829612 101149810680 105364386125 107893131392 113793537015 121379772816 126437263350 134866414240 151724716020 161839697088 168583017800 182069659224 189655895025 202299621360 210728772250 215786262784 227587074030 242759545632 252874526700 269732828480 303449432040 316093158375 323679394176 337166035600 364139318448 379311790050 404599242720 421457544500 431572525568 455174148060 485519091264 505749053400 539465656960 568967685075 606898864080 632186316750 647358788352 674332071200 728278636896 758623580100 809198485440 842915089000 910348296120 948279475125 971038182528 1011498106800 1078931313920 1137935370150 1213797728160 1264372633500 1294717576704 1348664142400 1456557273792 1517247160200 1618396970880 1685830178000 1820696592240 1896558950250 1942076365056 2022996213600 2157862627840 2275870740300 2427595456320 2528745267000 2697328284800 2844838425375 2913114547584 3034494320400 3236793941760 3371660356000 3641393184480 3793117900500 3884152730112 4045992427200 4551741480600 4855190912640 5057490534000 5394656569600 5689676850750 5826229095168 6068988640800 6473587883520 6743320712000 7282786368960 7586235801000 8091984854400 9103482961200 9710381825280 10114981068000 10789313139200 11379353701500 11652458190336 12137977281600 13486641424000 14565572737920 15172471602000 16183969708800 18206965922400 19420763650560 20229962136000 22758707403000 24275954563200 26973282848000 29131145475840 30344943204000 32367939417600 36413931844800 40459924272000 45517414806000 48551909126400 53946565696000 58262290951680 60689886408000 72827863689600 80919848544000 91034829612000 97103818252800 121379772816000 145655727379200 161839697088000 182069659224000 242759545632000 291311454758400 364139318448000 485519091264000 728278636896000 1456557273792000
• Sum of all divisors σ(n): 42292151723397396960
• Sum of proper divisors (its aliquot sum) s(n): 3924393394260960
• 42288227330003136000 is a deficient number, because the sum of its proper divisors (3924393394260960) is less than itself. Its deficiency is 42284302936608875040

Bases of 42288227330003136000

• Binary: 100100101011011101111101101011010000111001110011010110111000000000₂
• Hexadecimal: 0x24ADDF6B439CD6E00
• Base-36: 8XAATHVDE2YO0

Squares and roots of 42288227330003136000

• 42288227330003136000 squared (42288227330003136000²) is 1788294170714024160661813769834496000000
• 42288227330003136000 cubed (42288227330003136000³) is 75623790424074090215698583128653298771957880979456000000000
• The square root of 42288227330003136000 is 6502939898.9997697811
• 42288227330003136000 is a perfect cube number. Its cube root is 3483960

Scales and comparisons

• 42,288,227,330,003,136,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 42,288,227,330,003,136,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 42288227330003136000 cubic inches would be around 290330 feet tall.

Recreational maths with 42288227330003136000

• 42288227330003136000 backwards is 00063130003372288224
• 42288227330003136000 is a Harshad number.
• The number of decimal digits it has is: 20
• The sum of 42288227330003136000's digits is 54
• More coming soon!