542475297638848000

Names of 542475297638848000

• Cardinal: 542475297638848000 can be written as Five hundred forty-two quadrillion, four hundred seventy-five trillion, two hundred ninety-seven billion, six hundred thirty-eight million, eight hundred forty-eight thousand.

Scientific notation

• Scientific notation: 5.42475297638848 × 10¹⁷

Factors of 542475297638848000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1063

Divisors of 542475297638848000

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 256 280 320 350 400 448 500 512 560 640 700 800 875 896 1000 1049 1120 1280 1400 1600 1750 1792 2000 2098 2240 2560 2800 3200 3500 3584 4000 4196 4480 5245 5600 6400 7000 7343 8000 8392 8960 10490 11200 12800 14000 14686 16000 16784 17920 20980 22400 26225 28000 29372 32000 33568 36715 41960 44800 52450 56000 58744 64000 67136 73430 83920 89600 104900 112000 117488 131125 134272 146860 167840 183575 209800 224000 234976 262250 268544 293720 335680 367150 419600 448000 469952 524500 537088 587440 671360 734300 839200 917875 939904 1049000 1100401 1174880 1342720 1468600 1678400 1835750 1879808 2098000 2200802 2349760 2685440 2937200 3356800 3671500 3759616 4196000 4401604 4699520 5502005 5874400 6713600 7343000 7702807 8392000 8803208 9399040 11004010 11748800 13427200 14686000 15405614 16784000 17606416 18798080 22008020 23497600 27510025 29372000 30811228 33568000 35212832 38514035 44016040 46995200 55020050 58744000 61622456 67136000 70425664 77028070 88032080 93990400 110040100 117488000 123244912 137550125 140851328 154056140 176064160 192570175 220080200 234976000 246489824 275100250 281702656 308112280 352128320 385140350 440160400 469952000 492979648 550200500 563405312 616224560 704256640 770280700 880320800 962850875 985959296 1100401000 1154320649 1232449120 1408513280 1540561400 1760641600 1925701750 1971918592 2200802000 2308641298 2464898240 2817026560 3081122800 3521283200 3851403500 3943837184 4401604000 4617282596 4929796480 5771603245 6162245600 7042566400 7702807000 8080244543 8803208000 9234565192 9859592960 11543206490 12324491200 14085132800 15405614000 16160489086 17606416000 18469130384 19719185920 23086412980 24648982400 28858016225 30811228000 32320978172 35212832000 36938260768 40401222715 46172825960 49297964800 57716032450 61622456000 64641956344 70425664000 73876521536 80802445430 92345651920 98595929600 115432064900 123244912000 129283912688 144290081125 147753043072 161604890860 184691303840 202006113575 230864129800 246489824000 258567825376 288580162250 295506086144 323209781720 369382607680 404012227150 461728259600 492979648000 517135650752 577160324500 591012172288 646419563440 738765215360 808024454300 923456519200 1010030567875 1034271301504 1154320649000 1210882360801 1292839126880 1477530430720 1616048908600 1846913038400 2020061135750 2068542603008 2308641298000 2421764721602 2585678253760 2955060861440 3232097817200 3693826076800 4040122271500 4137085206016 4617282596000 4843529443204 5171356507520 6054411804005 6464195634400 7387652153600 8080244543000 8476176525607 9234565192000 9687058886408 10342713015040 12108823608010 12928391268800 14775304307200 16160489086000 16952353051214 18469130384000 19374117772816 20685426030080 24217647216020 25856782537600 30272059020025 32320978172000 33904706102428 36938260768000 38748235545632 42380882628035 48435294432040 51713565075200 60544118040050 64641956344000 67809412204856 73876521536000 77496471091264 84761765256070 96870588864080 103427130150400 121088236080100 129283912688000 135618824409712 151360295100125 154992942182528 169523530512140 193741177728160 211904413140175 242176472160200 258567825376000 271237648819424 302720590200250 309985884365056 339047061024280 387482355456320 423808826280350 484352944320400 517135650752000 542475297638848 605441180400500 619971768730112 678094122048560 774964710912640 847617652560700 968705888640800 1059522065700875 1084950595277696 1210882360801000 1356188244097120 1549929421825280 1695235305121400 1937411777281600 2119044131401750 2169901190555392 2421764721602000 2712376488194240 3099858843650560 3390470610242800 3874823554563200 4238088262803500 4339802381110784 4843529443204000 5424752976388480 6780941220485600 7749647109126400 8476176525607000 9687058886408000 10849505952776960 13561882440971200 15499294218252800 16952353051214000 19374117772816000 21699011905553920 27123764881942400 33904706102428000 38748235545632000 54247529763884800 67809412204856000 77496471091264000 108495059527769600 135618824409712000 271237648819424000 542475297638848000
• Sum of all divisors σ(n): 1547413485580838304
• Sum of proper divisors (its aliquot sum) s(n): 1004938187941990304
• 542475297638848000 is an abundant number, because the sum of its proper divisors (1004938187941990304) is greater than itself. Its abundance is 462462890303142304

Bases of 542475297638848000

• Binary: 11110000111010000100110100010110111001100000001011000000000₂
• Hexadecimal: 0x7874268B7301600
• Base-36: 44DFFZCT1PTS

Squares and roots of 542475297638848000

• 542475297638848000 squared (542475297638848000²) is 294279448548356726483838767104000000
• 542475297638848000 cubed (542475297638848000³) is 159639331440265871207488798885603658574856192000000000
• The square root of 542475297638848000 is 736529223.8864986137
• The cube root of 542475297638848000 is 815567.6463157909

Scales and comparisons

• 542,475,297,638,848,000 seconds is equal to 17,249,036,478 years, 33 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
• To count from 1 to 542,475,297,638,848,000 would take you about fifty-one billion, seven hundred forty-seven million, one hundred nine thousand, four hundred thirty-five 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 542475297638848000 cubic inches would be around 67964 feet tall.

Recreational maths with 542475297638848000

• 542475297638848000 backwards is 000848836792574245
• The number of decimal digits it has is: 18
• The sum of 542475297638848000's digits is 82
• More coming soon!