42085662072220800
42,085,662,072,220,800 is an even composite number composed of five prime numbers multiplied together.
42085662072220800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 42085662072220800:
27 × 32 × 52 × 11 × 132846155531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 132846155531)See below for interesting mathematical facts about the number 42085662072220800 from the Numbermatics database.
Names of 42085662072220800
- Cardinal: 42085662072220800 can be written as Forty-two quadrillion, eighty-five trillion, six hundred sixty-two billion, seventy-two million, two hundred twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 4.20856620722208 × 1016
Factors of 42085662072220800
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 132846155552
Divisors of 42085662072220800
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 64 66 72 75 80 88 90 96 99 100 110 120 128 132 144 150 160 165 176 180 192 198 200 220 225 240 264 275 288 300 320 330 352 360 384 396 400 440 450 480 495 528 550 576 600 640 660 704 720 792 800 825 880 900 960 990 1056 1100 1152 1200 1320 1408 1440 1584 1600 1650 1760 1800 1920 1980 2112 2200 2400 2475 2640 2880 3168 3200 3300 3520 3600 3960 4224 4400 4800 4950 5280 5760 6336 6600 7040 7200 7920 8800 9600 9900 10560 12672 13200 14400 15840 17600 19800 21120 26400 28800 31680 35200 39600 52800 63360 79200 105600 158400 316800 132846155531 265692311062 398538466593 531384622124 664230777655 797076933186 1062769244248 1195615399779 1328461555310 1461307710841 1594153866372 1992692332965 2125538488496 2391230799558 2656923110620 2922615421682 3188307732744 3321153888275 3985384665930 4251076976992 4383923132523 4782461599116 5313846221240 5845230843364 5978076998895 6376615465488 6642307776550 7306538554205 7970769331860 8502153953984 8767846265046 9564923198232 9963461664825 10627692442480 11690461686728 11956153997790 12753230930976 13151769397569 13284615553100 14613077108410 15941538663720 17004307907968 17535692530092 19129846396464 19926923329650 21255384884960 21919615662615 23380923373456 23912307995580 25506461861952 26303538795138 26569231106200 29226154216820 29890384994475 31883077327440 35071385060184 36532692771025 38259692792928 39853846659300 42510769769920 43839231325230 46761846746912 47824615991160 51012923723904 52607077590276 53138462212400 58452308433640 59780769988950 63766154654880 65758846987845 70142770120368 73065385542050 76519385585856 79707693318600 85021539539840 87678462650460 93523693493824 95649231982320 105214155180552 106276924424800 109598078313075 116904616867280 119561539977900 127532309309760 131517693975690 140285540240736 146130771084100 153038771171712 159415386637200 175356925300920 187047386987648 191298463964640 210428310361104 212553848849600 219196156626150 233809233734560 239123079955800 255064618619520 263035387951380 280571080481472 292261542168200 318830773274400 328794234939225 350713850601840 382596927929280 420856620722208 425107697699200 438392313252300 467618467469120 478246159911600 526070775902760 561142160962944 584523084336400 637661546548800 657588469878450 701427701203680 765193855858560 841713241444416 876784626504600 935236934938240 956492319823200 1052141551805520 1169046168672800 1275323093097600 1315176939756900 1402855402407360 1683426482888832 1753569253009200 1912984639646400 2104283103611040 2338092337345600 2630353879513800 2805710804814720 3507138506018400 3825969279292800 4208566207222080 4676184674691200 5260707759027600 7014277012036800 8417132414444160 10521415518055200 14028554024073600 21042831036110400 42085662072220800
- Sum of all divisors σ(n): 163823222078951760
- Sum of proper divisors (its aliquot sum) s(n): 121737560006730960
- 42085662072220800 is an abundant number, because the sum of its proper divisors (121737560006730960) is greater than itself. Its abundance is 79651897934510160
Bases of 42085662072220800
- Binary: 100101011000010010101111110010011111001110101100100000002
- Hexadecimal: 0x9584AFC9F3AC80
- Base-36: BIE4E8Y7FK0
Squares and roots of 42085662072220800
- 42085662072220800 squared (420856620722208002) is 1771202952057164361555043952640000
- 42085662072220800 cubed (420856620722208003) is 74542248901597718158781430108945565974822912000000
-
The
square root of 42085662072220800 is 205147902.9193835069 -
The
cube root of 42085662072220800 is 347838.8243597981
Scales and comparisons
How big is 42085662072220800?- 42,085,662,072,220,800 seconds is equal to 1,338,193,874 years, 20 weeks, 4 days, 8 hours.
-
To count from 1 to 42,085,662,072,220,800 would take you about four billion, fourteen million, five hundred eighty-one thousand, six hundred twenty-three 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 42085662072220800 cubic inches would be around 28986.6 feet tall.
Recreational maths with 42085662072220800
- 42085662072220800 backwards is 00802227026658024
- The number of decimal digits it has is: 17
- The sum of 42085662072220800's digits is 54
- More coming soon!
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