264241348104274200
264,241,348,104,274,200 is an even composite number composed of five prime numbers multiplied together.
264241348104274200 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 264241348104274200:
23 × 33 × 52 × 112 × 404409776713
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 404409776713)See below for interesting mathematical facts about the number 264241348104274200 from the Numbermatics database.
Names of 264241348104274200
- Cardinal: 264241348104274200 can be written as Two hundred sixty-four quadrillion, two hundred forty-one trillion, three hundred forty-eight billion, one hundred four million, two hundred seventy-four thousand, two hundred.
Scientific notation
- Scientific notation: 2.642413481042742 × 1017
Factors of 264241348104274200
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 404409776734
Divisors of 264241348104274200
- 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 18 20 22 24 25 27 30 33 36 40 44 45 50 54 55 60 66 72 75 88 90 99 100 108 110 120 121 132 135 150 165 180 198 200 216 220 225 242 264 270 275 297 300 330 360 363 396 440 450 484 495 540 550 594 600 605 660 675 726 792 825 900 968 990 1080 1089 1100 1188 1210 1320 1350 1452 1485 1650 1800 1815 1980 2178 2200 2376 2420 2475 2700 2904 2970 3025 3267 3300 3630 3960 4356 4840 4950 5400 5445 5940 6050 6534 6600 7260 7425 8712 9075 9900 10890 11880 12100 13068 14520 14850 16335 18150 19800 21780 24200 26136 27225 29700 32670 36300 43560 54450 59400 65340 72600 81675 108900 130680 163350 217800 326700 653400 404409776713 808819553426 1213229330139 1617639106852 2022048883565 2426458660278 3235278213704 3639687990417 4044097767130 4448507543843 4852917320556 6066146650695 7279375980834 8088195534260 8897015087686 9705834641112 10110244417825 10919063971251 12132293301390 13345522631529 14558751961668 16176391068520 17794030175372 18198439952085 20220488835650 21838127942502 22242537719215 24264586602780 26691045263058 29117503923336 30330733253475 35588060350744 36396879904170 40036567894587 40440977671300 43676255885004 44485075438430 48529173205560 48933582982273 53382090526116 54595319856255 60661466506950 66727613157645 72793759808340 80073135789174 80881955342600 87352511770008 88970150876860 90992199760425 97867165964546 106764181052232 109190639712510 111212688596075 120109703683761 121322933013900 133455226315290 145587519616680 146800748946819 160146271578348 177940301753720 181984399520850 195734331929092 200182839472935 218381279425020 222425377192150 240219407367522 242645866027800 244667914911365 266910452630580 272976599281275 293601497893638 320292543156696 333638065788225 363968799041700 391468663858184 400365678945870 436762558850040 440402246840457 444850754384300 480438814735044 489335829822730 533820905261160 545953198562550 587202995787276 600548518418805 667276131576450 727937598083400 734003744734095 800731357891740 880804493680914 889701508768600 960877629470088 978671659645460 1000914197364675 1091906397125100 1174405991574552 1201097036837610 1223339574556825 1321206740521371 1334552263152900 1468007489468190 1601462715783480 1761608987361828 1957343319290920 2001828394729350 2183812794250200 2202011234202285 2402194073675220 2446679149113650 2642413481042742 2669104526305800 2936014978936380 3002742592094025 3523217974723656 3670018723670475 4003656789458700 4404022468404570 4804388147350440 4893358298227300 5284826962085484 5872029957872760 6005485184188050 6606033702606855 7340037447340950 8007313578917400 8808044936809140 9786716596454600 10569653924170968 11010056171011425 12010970368376100 13212067405213710 14680074894681900 17616089873618280 22020112342022850 24021940736752200 26424134810427420 29360149789363800 33030168513034275 44040224684045700 52848269620854840 66060337026068550 88080449368091400 132120674052137100 264241348104274200
- Sum of all divisors σ(n): 1000428905635093200
- Sum of proper divisors (its aliquot sum) s(n): 736187557530819000
- 264241348104274200 is an abundant number, because the sum of its proper divisors (736187557530819000) is greater than itself. Its abundance is 471946209426544800
Bases of 264241348104274200
- Binary: 11101010101100011000011011001010001011100111000001000110002
- Hexadecimal: 0x3AAC61B28B9C118
- Base-36: 209TQNHZUS60
Squares and roots of 264241348104274200
- 264241348104274200 squared (2642413481042742002) is 69823490047964214350116308785640000
- 264241348104274200 cubed (2642413481042742003) is 18450253139619437221595107470288654648295582488000000
-
The
square root of 264241348104274200 is 514044111.0491143443 -
The
cube root of 264241348104274200 is 641702.2944199817
Scales and comparisons
How big is 264241348104274200?- 264,241,348,104,274,200 seconds is equal to 8,402,057,517 years, 29 weeks, 1 day, 1 hour, 30 minutes.
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To count from 1 to 264,241,348,104,274,200 would take you about twenty-five billion, two hundred six million, one hundred seventy-two thousand, five hundred fifty-two 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 264241348104274200 cubic inches would be around 53475.2 feet tall.
Recreational maths with 264241348104274200
- 264241348104274200 backwards is 002472401843142462
- 264241348104274200 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 264241348104274200's digits is 54
- More coming soon!
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