400645388431203368000
400,645,388,431,203,368,000 is an even composite number composed of five prime numbers multiplied together.
400645388431203368000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 400645388431203368000:
26 × 53 × 241 × 1777 × 116940700453
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 241 × 1777 × 116940700453)See below for interesting mathematical facts about the number 400645388431203368000 from the Numbermatics database.
Names of 400645388431203368000
- Cardinal: 400645388431203368000 can be written as Four hundred quintillion, six hundred forty-five quadrillion, three hundred eighty-eight trillion, four hundred thirty-one billion, two hundred three million, three hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.00645388431203368 × 1020
Factors of 400645388431203368000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 116940702478
Divisors of 400645388431203368000
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 241 250 320 400 482 500 800 964 1000 1205 1600 1777 1928 2000 2410 3554 3856 4000 4820 6025 7108 7712 8000 8885 9640 12050 14216 15424 17770 19280 24100 28432 30125 35540 38560 44425 48200 56864 60250 71080 77120 88850 96400 113728 120500 142160 177700 192800 222125 241000 284320 355400 385600 428257 444250 482000 568640 710800 856514 888500 964000 1421600 1713028 1777000 1928000 2141285 2843200 3426056 3554000 4282570 6852112 7108000 8565140 10706425 13704224 14216000 17130280 21412850 27408448 34260560 42825700 53532125 68521120 85651400 107064250 137042240 171302800 214128500 342605600 428257000 685211200 856514000 1713028000 3426056000 116940700453 233881400906 467762801812 584703502265 935525603624 1169407004530 1871051207248 2338814009060 2923517511325 3742102414496 4677628018120 5847035022650 7484204828992 9355256036240 11694070045300 14617587556625 18710512072480 23388140090600 28182708809173 29235175113250 37421024144960 46776280181200 56365417618346 58470350226500 93552560362400 112730835236692 116940700453000 140913544045865 187105120724800 207803624704981 225461670473384 233881400906000 281827088091730 415607249409962 450923340946768 467762801812000 563654176183460 704567720229325 831214498819924 901846681893536 935525603624000 1039018123524905 1127308352366920 1409135440458650 1662428997639848 1803693363787072 2078036247049810 2254616704733840 2818270880917300 3324857995279696 3522838601146625 4156072494099620 4509233409467680 5195090617624525 5636541761834600 6649715990559392 7045677202293250 8312144988199240 9018466818935360 10390181235249050 11273083523669200 13299431981118784 14091354404586500 16624289976398480 20780362470498100 22546167047338400 25975453088122625 28182708809173000 33248579952796960 41560724940996200 45092334094676800 50080673553900421 51950906176245250 56365417618346000 66497159905593920 83121449881992400 100161347107800842 103901812352490500 112730835236692000 166242899763984800 200322694215601684 207803624704981000 225461670473384000 250403367769502105 332485799527969600 400645388431203368 415607249409962000 500806735539004210 801290776862406736 831214498819924000 1001613471078008420 1252016838847510525 1602581553724813472 1662428997639848000 2003226942156016840 2504033677695021050 3205163107449626944 4006453884312033680 5008067355390042100 6260084194237552625 8012907768624067360 10016134710780084200 12520168388475105250 16025815537248134720 20032269421560168400 25040336776950210500 40064538843120336800 50080673553900421000 80129077686240673600 100161347107800842000 200322694215601684000 400645388431203368000
- Sum of all divisors σ(n): 996875982527139562848
- Sum of proper divisors (its aliquot sum) s(n): 596230594095936194848
- 400645388431203368000 is an abundant number, because the sum of its proper divisors (596230594095936194848) is greater than itself. Its abundance is 195585205664732826848
Bases of 400645388431203368000
- Binary: 1010110111000000100100101101000010001011001000100010111111100010000002
- Hexadecimal: 0x15B8125A116445FC40
- Base-36: 2CJWYX5JCPWI0W
Squares and roots of 400645388431203368000
- 400645388431203368000 squared (4006453884312033680002) is 160516727271189825544469912574543424000000
- 400645388431203368000 cubed (4006453884312033680003) is 64310286547271382296590961519861889108137187491052032000000000
-
The
square root of 400645388431203368000 is 20016128207.8029108533 -
The
cube root of 400645388431203368000 is 7372023.5867940445
Scales and comparisons
How big is 400645388431203368000?- 400,645,388,431,203,368,000 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 400,645,388,431,203,368,000 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 400645388431203368000 cubic inches would be around 614335.3 feet tall.
Recreational maths with 400645388431203368000
- 400645388431203368000 backwards is 000863302134883546004
- The number of decimal digits it has is: 21
- The sum of 400645388431203368000's digits is 68
- More coming soon!
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