42008082275318810400
42,008,082,275,318,810,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 42008082275318810400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 216 divisors.
42008082275318810400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 42008082275318810400:
25 × 32 × 52 × 349 × 16717638600493
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 349 × 16717638600493)See below for interesting mathematical facts about the number 42008082275318810400 from the Numbermatics database.
Names of 42008082275318810400
- Cardinal: 42008082275318810400 can be written as Forty-two quintillion, eight quadrillion, eighty-two trillion, two hundred seventy-five billion, three hundred eighteen million, eight hundred ten thousand, four hundred.
Scientific notation
- Scientific notation: 4.20080822753188104 × 1019
Factors of 42008082275318810400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 16717638600852
Divisors of 42008082275318810400
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 349 360 400 450 480 600 698 720 800 900 1047 1200 1396 1440 1745 1800 2094 2400 2792 3141 3490 3600 4188 5235 5584 6282 6980 7200 8376 8725 10470 11168 12564 13960 15705 16752 17450 20940 25128 26175 27920 31410 33504 34900 41880 50256 52350 55840 62820 69800 78525 83760 100512 104700 125640 139600 157050 167520 209400 251280 279200 314100 418800 502560 628200 837600 1256400 2512800 16717638600493 33435277200986 50152915801479 66870554401972 83588193002465 100305831602958 133741108803944 150458747404437 167176386004930 200611663205916 250764579007395 267482217607888 300917494808874 334352772009860 401223326411832 417940965012325 501529158014790 534964435215776 601834989617748 668705544019720 752293737022185 802446652823664 835881930024650 1003058316029580 1203669979235496 1253822895036975 1337411088039440 1504587474044370 1604893305647328 1671763860049300 2006116632059160 2407339958470992 2507645790073950 2674822176078880 3009174948088740 3343527720098600 3761468685110925 4012233264118320 4814679916941984 5015291580147900 5834455871572057 6018349896177480 6687055440197200 7522937370221850 8024466528236640 10030583160295800 11668911743144114 12036699792354960 13374110880394400 15045874740443700 17503367614716171 20061166320591600 23337823486288228 24073399584709920 29172279357860285 30091749480887400 35006735229432342 40122332641183200 46675646972576456 52510102844148513 58344558715720570 60183498961774800 70013470458864684 87516838073580855 93351293945152912 105020205688297026 116689117431441140 120366997923549600 140026940917729368 145861396789301425 175033676147161710 186702587890305824 210040411376594052 233378234862882280 262550514220742565 280053881835458736 291722793578602850 350067352294323420 420080822753188104 437584190367904275 466756469725764560 525101028441485130 560107763670917472 583445587157205700 700134704588646840 840161645506376208 875168380735808550 933512939451529120 1050202056882970260 1166891174314411400 1312752571103712825 1400269409177293680 1680323291012752416 1750336761471617100 2100404113765940520 2333782348628822800 2625505142207425650 2800538818354587360 3500673522943234200 4200808227531881040 4667564697257645600 5251010284414851300 7001347045886468400 8401616455063762080 10502020568829702600 14002694091772936800 21004041137659405200 42008082275318810400
- Sum of all divisors σ(n): 148555444249779758100
- Sum of proper divisors (its aliquot sum) s(n): 106547361974460947700
- 42008082275318810400 is an abundant number, because the sum of its proper divisors (106547361974460947700) is greater than itself. Its abundance is 64539279699142137300
Bases of 42008082275318810400
- Binary: 1001000110111110101011000001000010110100111100001011000111001000002
- Hexadecimal: 0x246FAB042D3C2C720
- Base-36: 8V5OED1XI0080
Squares and roots of 42008082275318810400
- 42008082275318810400 squared (420080822753188104002) is 1764678976449954402651752960071148160000
- 42008082275318810400 cubed (420080822753188104003) is 74130779632235069976946917062734748180896330773348864000000
-
The
square root of 42008082275318810400 is 6481364229.4904867039 -
The
cube root of 42008082275318810400 is 3476249.6004614355
Scales and comparisons
How big is 42008082275318810400?- 42,008,082,275,318,810,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 42,008,082,275,318,810,400 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 42008082275318810400 cubic inches would be around 289687.5 feet tall.
Recreational maths with 42008082275318810400
- 42008082275318810400 backwards is 00401881357228080024
- The number of decimal digits it has is: 20
- The sum of 42008082275318810400's digits is 63
- More coming soon!
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