428400834023004416
428,400,834,023,004,416 is an even composite number composed of four prime numbers multiplied together.
428400834023004416 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred seventy-eight divisors.
Prime factorization of 428400834023004416:
28 × 72 × 41 × 976
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 41 × 97 × 97 × 97 × 97 × 97 × 97)See below for interesting mathematical facts about the number 428400834023004416 from the Numbermatics database.
Names of 428400834023004416
- Cardinal: 428400834023004416 can be written as Four hundred twenty-eight quadrillion, four hundred trillion, eight hundred thirty-four billion, twenty-three million, four thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 4.28400834023004416 × 1017
Factors of 428400834023004416
Divisors of 428400834023004416
- Number of divisors d(n): 378
-
Complete list of divisors:
1 2 4 7 8 14 16 28 32 41 49 56 64 82 97 98 112 128 164 194 196 224 256 287 328 388 392 448 574 656 679 776 784 896 1148 1312 1358 1552 1568 1792 2009 2296 2624 2716 3104 3136 3977 4018 4592 4753 5248 5432 6208 6272 7954 8036 9184 9409 9506 10496 10864 12416 12544 15908 16072 18368 18818 19012 21728 24832 27839 31816 32144 36736 37636 38024 43456 55678 63632 64288 65863 73472 75272 76048 86912 111356 127264 128576 131726 150544 152096 173824 194873 222712 254528 257152 263452 301088 304192 385769 389746 445424 461041 509056 514304 526904 602176 608384 771538 779492 890848 912673 922082 1018112 1053808 1204352 1216768 1543076 1558984 1781696 1825346 1844164 2107616 2408704 2700383 3086152 3117968 3563392 3650692 3688328 4215232 5400766 6172304 6235936 6388711 7126784 7301384 7376656 8430464 10801532 12344608 12471872 12777422 14602768 14753312 16860928 18902681 21603064 24689216 24943744 25554844 29205536 29506624 37419593 37805362 43206128 44720977 49378432 49887488 51109688 58411072 59013248 74839186 75610724 86412256 88529281 89441954 98756864 102219376 116822144 118026496 149678372 151221448 172824512 177058562 178883908 204438752 233644288 261937151 299356744 302442896 345649024 354117124 357767816 408877504 523874302 598713488 604885792 619704967 691298048 708234248 715535632 817755008 1047748604 1197426976 1209771584 1239409934 1416468496 1431071264 1635510016 1833560057 2095497208 2394853952 2419543168 2478819868 2832936992 2862142528 3629700521 3667120114 4190994416 4337934769 4789707904 4839086336 4957639736 5665873984 5724285056 7259401042 7334240228 8381988832 8587340257 8675869538 9579415808 9915279472 11331747968 11448570112 14518802084 14668480456 16763977664 17174680514 17351739076 19830558944 22663495936 25407903647 29037604168 29336960912 33527955328 34349361028 34703478152 39661117888 50815807294 58075208336 58673921824 60111381799 67055910656 68698722056 69406956304 79322235776 101631614588 116150416672 117347843648 120222763598 137397444112 138813912608 158644471552 177855325529 203263229176 232300833344 234695687296 240445527196 274794888224 277627825216 352080950537 355710651058 406526458352 420779672593 464601666688 469391374592 480891054392 549589776448 555255650432 704161901074 711421302116 813052916704 832972004929 841559345186 929203333376 961782108784 1099179552896 1110511300864 1408323802148 1422842604232 1626105833408 1665944009858 1683118690372 1923564217568 2198359105792 2464566653759 2816647604296 2845685208464 3252211666816 3331888019716 3366237380744 3847128435136 4929133307518 5633295208592 5691370416928 5830804034503 6504423333632 6663776039432 6732474761488 7694256870272 9858266615036 11266590417184 11382740833856 11661608069006 13327552078864 13464949522976 15388513740544 17251966576313 19716533230072 22533180834368 22765481667712 23323216138012 26655104157728 26929899045952 34151852202089 34503933152626 39433066460144 40815628241521 45066361668736 45530963335424 46646432276024 53310208315456 53859798091904 68303704404178 69007866305252 78866132920288 81631256483042 90132723337472 93292864552048 106620416630912 107719596183808 136607408808356 138015732610504 157732265840576 163262512966084 186585729104096 213240833261824 239062965414623 273214817616712 276031465221008 315464531681152 326525025932168 373171458208192 478125930829246 546429635233424 552062930442016 630929063362304 653050051864336 746342916416384 956251861658492 1092859270466848 1104125860884032 1306100103728672 1492685832832768 1673440757902361 1912503723316984 2185718540933696 2208251721768064 2612200207457344 3346881515804722 3825007446633968 4371437081867392 4416503443536128 5224400414914688 6693763031609444 7650014893267936 8742874163734784 10448800829829376 13387526063218888 15300029786535872 26775052126437776 30600059573071744 53550104252875552 61200119146143488 107100208505751104 214200417011502208 428400834023004416
- Sum of all divisors σ(n): 1029617588997361098
- Sum of proper divisors (its aliquot sum) s(n): 601216754974356682
- 428400834023004416 is an abundant number, because the sum of its proper divisors (601216754974356682) is greater than itself. Its abundance is 172815920951352266
Bases of 428400834023004416
- Binary: 101111100011111110001001001111011010110110000011001000000002
- Hexadecimal: 0x5F1FC49ED6C1900
- Base-36: 3967F68BJKE8
Squares and roots of 428400834023004416
- 428400834023004416 squared (4284008340230044162) is 183527274591605778000695091155501056
- 428400834023004416 cubed (4284008340230044163) is 78623237501012862466768159055854314244379770980663296
-
The
square root of 428400834023004416 is 654523364.0008616347 -
The
cube root of 428400834023004416 is 753847.3906013897 - Being both a perfect square and a perfect cube, 428400834023004416 is also a
perfect sixth number .
Scales and comparisons
How big is 428400834023004416?- 428,400,834,023,004,416 seconds is equal to 13,621,821,391 years, 7 weeks, 4 days, 8 hours, 46 minutes, 56 seconds.
-
To count from 1 to 428,400,834,023,004,416 would take you about forty billion, eight hundred sixty-five million, four hundred sixty-four thousand, one hundred seventy-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 428400834023004416 cubic inches would be around 62820.6 feet tall.
Recreational maths with 428400834023004416
- 428400834023004416 backwards is 614400320438004824
- The number of decimal digits it has is: 18
- The sum of 428400834023004416's digits is 53
- More coming soon!
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The information we have on file for 428400834023004416 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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