428460567126364416
428,460,567,126,364,416 is an even composite number composed of six prime numbers multiplied together.
428460567126364416 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 428460567126364416:
28 × 3 × 7 × 41 × 797 × 2438986633
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 41 × 797 × 2438986633)See below for interesting mathematical facts about the number 428460567126364416 from the Numbermatics database.
Names of 428460567126364416
- Cardinal: 428460567126364416 can be written as Four hundred twenty-eight quadrillion, four hundred sixty trillion, five hundred sixty-seven billion, one hundred twenty-six million, three hundred sixty-four thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 4.28460567126364416 × 1017
Factors of 428460567126364416
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 2438987483
Divisors of 428460567126364416
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 256 287 328 336 384 448 492 574 656 672 768 797 861 896 984 1148 1312 1344 1594 1722 1792 1968 2296 2391 2624 2688 3188 3444 3936 4592 4782 5248 5376 5579 6376 6888 7872 9184 9564 10496 11158 12752 13776 15744 16737 18368 19128 22316 25504 27552 31488 32677 33474 36736 38256 44632 51008 55104 65354 66948 73472 76512 89264 98031 102016 110208 130708 133896 153024 178528 196062 204032 220416 228739 261416 267792 306048 357056 392124 457478 522832 535584 612096 686217 714112 784248 914956 1045664 1071168 1372434 1428224 1568496 1829912 2091328 2142336 2744868 3136992 3659824 4182656 4284672 5489736 6273984 7319648 8365312 10979472 12547968 14639296 21958944 25095936 29278592 43917888 58557184 87835776 175671552 2438986633 4877973266 7316959899 9755946532 14633919798 17072906431 19511893064 29267839596 34145812862 39023786128 51218719293 58535679192 68291625724 78047572256 99998451953 102437438586 117071358384 136583251448 156095144512 199996903906 204874877172 234142716768 273166502896 299995355859 312190289024 399993807812 409749754344 468285433536 546333005792 599990711718 624380578048 699989163671 799987615624 819499508688 936570867072 1092666011584 1199981423436 1399978327342 1599975231248 1638999017376 1873141734144 1943872346501 2099967491013 2185332023168 2399962846872 2799956654684 3199950462496 3277998034752 3887744693002 4199934982026 4370664046336 4799925693744 5599913309368 5831617039503 6399900924992 6555996069504 7775489386004 8399869964052 9599851387488 11199826618736 11663234079006 12799801849984 13111992139008 13607106425507 15550978772008 16799739928104 19199702774976 22399653237472 23326468158012 25599603699968 27214212851014 31101957544016 33599479856208 38399405549952 40821319276521 44799306474944 46652936316024 54428425702028 62203915088032 67198959712416 76798811099904 79698766206541 81642638553042 89598612949888 93305872632048 108856851404056 124407830176064 134397919424832 159397532413082 163285277106084 179197225899776 186611745264096 217713702808112 239096298619623 248815660352128 268795838849664 318795064826164 326570554212168 373223490528192 435427405616224 478192597239246 497631320704256 537591677699328 557891363445787 637590129652328 653141108424336 746446981056384 870854811232448 956385194478492 1115782726891574 1275180259304656 1306282216848672 1492893962112768 1673674090337361 1741709622464896 1912770388956984 2231565453783148 2550360518609312 2612564433697344 3347348180674722 3483419244929792 3825540777913968 4463130907566296 5100721037218624 5225128867394688 6694696361349444 7651081555827936 8926261815132592 10201442074437248 10450257734789376 13389392722698888 15302163111655872 17852523630265184 20402884148874496 26778785445397776 30604326223311744 35705047260530368 53557570890795552 61208652446623488 71410094521060736 107115141781591104 142820189042121472 214230283563182208 428460567126364416
- Sum of all divisors σ(n): 1336695483163154688
- Sum of proper divisors (its aliquot sum) s(n): 908234916036790272
- 428460567126364416 is an abundant number, because the sum of its proper divisors (908234916036790272) is greater than itself. Its abundance is 479774348910425856
Bases of 428460567126364416
- Binary: 101111100100011001010011101100111111101010001010001000000002
- Hexadecimal: 0x5F2329D9FD45100
- Base-36: 396SLF8N0R9C
Squares and roots of 428460567126364416
- 428460567126364416 squared (4284605671263644162) is 183578457582245827671935709631021056
- 428460567126364416 cubed (4284605671263644163) is 78656130047872281040263130118255437979768303225143296
-
The
square root of 428460567126364416 is 654568993.4043350453 -
The
cube root of 428460567126364416 is 753882.4259762205
Scales and comparisons
How big is 428460567126364416?- 428,460,567,126,364,416 seconds is equal to 13,623,720,719 years, 3 weeks, 3 days, 7 hours, 53 minutes, 36 seconds.
-
To count from 1 to 428,460,567,126,364,416 would take you about forty billion, eight hundred seventy-one million, one hundred sixty-two thousand, one hundred fifty-seven 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 428460567126364416 cubic inches would be around 62823.5 feet tall.
Recreational maths with 428460567126364416
- 428460567126364416 backwards is 614463621765064824
- The number of decimal digits it has is: 18
- The sum of 428460567126364416's digits is 75
- More coming soon!
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