42106975741776800

Names of 42106975741776800

• Cardinal: 42106975741776800 can be written as Forty-two quadrillion, one hundred six trillion, nine hundred seventy-five billion, seven hundred forty-one million, seven hundred seventy-six thousand, eight hundred.

Scientific notation

• Scientific notation: 4.21069757417768 × 10¹⁶

Factors of 42106975741776800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 799631

Divisors of 42106975741776800

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 61 80 100 122 160 200 244 305 400 488 601 610 800 976 1202 1220 1525 1801 1952 2404 2440 3005 3050 3602 4808 4880 6010 6100 7204 9005 9616 9760 12020 12200 14408 15025 18010 19232 24040 24400 28816 30050 36020 36661 45025 48080 48800 57632 60100 72040 73322 90050 96160 109861 120200 144080 146644 180100 183305 219722 240400 288160 293288 360200 366610 439444 480800 549305 586576 720400 733220 797161 878888 916525 1082401 1098610 1173152 1440800 1466440 1594322 1757776 1833050 2164802 2197220 2746525 2932880 3188644 3515552 3666100 3985805 4329604 4394440 5412005 5493050 5865760 6377288 7332200 7971610 8659208 8788880 10824010 10986100 12754576 14664400 15943220 17318416 17577760 19929025 21648020 21972200 25509152 27060025 29328800 31886440 34636832 39858050 43296040 43944400 48626821 54120050 63772880 66026461 79716100 86592080 87888800 97253642 108240100 127545760 132052922 159432200 173184160 194507284 216480200 243134105 264105844 318864400 330132305 389014568 432960400 479093761 486268210 528211688 637728800 660264610 778029136 865920800 958187522 972536420 1056423376 1215670525 1320529220 1435686961 1556058272 1650661525 1916375044 1945072840 2112846752 2395468805 2431341050 2641058440 2871373922 3301323050 3832750088 3890145680 4790937610 4862682100 5282116880 5742747844 6602646100 7178434805 7665500176 7780291360 9581875220 9725364200 10564233760 11485495688 11977344025 13205292200 14356869610 15331000352 19163750440 19450728400 22970991376 23954688050 26410584400 28713739220 29224719421 35892174025 38327500880 38901456800 45941982752 47909376100 52821168800 57427478440 58449438842 71784348050 76655001760 87576904621 95818752200 114854956880 116898877684 143568696100 146123597105 175153809242 191637504400 229709913760 233797755368 287137392200 292247194210 350307618484 383275008800 437884523105 467595510736 574274784400 584494388420 700615236968 730617985525 862847863561 875769046210 935191021472 1148549568800 1168988776840 1401230473936 1461235971050 1725695727122 1751538092420 2189422615525 2337977553680 2802460947872 2922471942100 3451391454244 3503076184840 4314239317805 4378845231050 4675955107360 5844943884200 6902782908488 7006152369680 8628478635610 8757690462100 11689887768400 13805565816976 14012304739360 17256957271220 17515380924200 21571196589025 23379775536800 27611131633952 34513914542440 35030761848400 43142393178050 52633719677221 69027829084880 70061523696800 86284786356100 105267439354442 138055658169760 172569572712200 210534878708884 263168598386105 345139145424400 421069757417768 526337196772210 690278290848800 842139514835536 1052674393544420 1315842991930525 1684279029671072 2105348787088840 2631685983861050 4210697574177680 5263371967722100 8421395148355360 10526743935444200 21053487870888400 42106975741776800
• Sum of all divisors σ(n): 104710877425265328
• Sum of proper divisors (its aliquot sum) s(n): 62603901683488528
• 42106975741776800 is an abundant number, because the sum of its proper divisors (62603901683488528) is greater than itself. Its abundance is 20496925941711728

Bases of 42106975741776800

• Binary: 10010101100110000001001001000011101001111001001110100000₂
• Hexadecimal: 0x95981243A793A0
• Base-36: BILODM2R9NK

Squares and roots of 42106975741776800

• 42106975741776800 squared (42106975741776800²) is 1772997406118579896592821018240000
• 42106975741776800 cubed (42106975741776800³) is 74655558769668233060277116033459901882808832000000
• The square root of 42106975741776800 is 205199843.4253223303
• The cube root of 42106975741776800 is 347897.5337493655

Scales and comparisons

• 42,106,975,741,776,800 seconds is equal to 1,338,871,583 years, 8 weeks, 2 days, 13 hours, 33 minutes, 20 seconds.
• To count from 1 to 42,106,975,741,776,800 would take you about four billion, sixteen million, six hundred fourteen thousand, seven hundred forty-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 42106975741776800 cubic inches would be around 28991.5 feet tall.

Recreational maths with 42106975741776800

• 42106975741776800 backwards is 00867714757960124
• The number of decimal digits it has is: 17
• The sum of 42106975741776800's digits is 74
• More coming soon!