428193078016
428,193,078,016 is an even composite number composed of six prime numbers multiplied together.
What does the number 428193078016 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
428193078016 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 428193078016:
28 × 11 × 31 × 61 × 191 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 31 × 61 × 191 × 421)See below for interesting mathematical facts about the number 428193078016 from the Numbermatics database.
Names of 428193078016
- Cardinal: 428193078016 can be written as Four hundred twenty-eight billion, one hundred ninety-three million, seventy-eight thousand and sixteen.
Scientific notation
- Scientific notation: 4.28193078016 × 1011
Factors of 428193078016
Divisors of 428193078016
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 8 11 16 22 31 32 44 61 62 64 88 122 124 128 176 191 244 248 256 341 352 382 421 488 496 671 682 704 764 842 976 992 1342 1364 1408 1528 1684 1891 1952 1984 2101 2684 2728 2816 3056 3368 3782 3904 3968 4202 4631 5368 5456 5921 6112 6736 7564 7808 7936 8404 9262 10736 10912 11651 11842 12224 13051 13472 15128 15616 16808 18524 20801 21472 21824 23302 23684 24448 25681 26102 26944 30256 33616 37048 41602 42944 43648 46604 47368 48896 51362 52204 53888 60512 65131 67232 74096 80411 83204 85888 87296 93208 94736 102724 104408 107776 121024 128161 130262 134464 143561 148192 160822 166408 171776 186416 189472 205448 208816 242048 256322 260524 268928 282491 287122 296384 321644 332816 361181 372832 378944 410896 417632 484096 512644 521048 537856 564982 574244 592768 643288 665632 722362 745664 757888 796111 821792 835264 884521 1025288 1042096 1129964 1148488 1185536 1286576 1331264 1444724 1491328 1515776 1592222 1643584 1670528 1769042 2050576 2084192 2259928 2296976 2492741 2573152 2662528 2889448 2982656 3184444 3287168 3341056 3538084 3972991 4101152 4168384 4519856 4593952 4905071 4985482 5146304 5325056 5778896 6368888 6574336 7076168 7945982 8202304 8336768 8757221 9039712 9187904 9810142 9970964 10292608 11557792 12737776 14152336 15891964 16404608 16673536 17514442 18079424 18375808 19620284 19941928 20585216 23115584 25475552 27420151 28304672 31783928 32809216 35028884 36158848 36751616 39240568 39883856 46231168 50951104 53955781 54840302 56609344 63567856 70057768 72317696 78481136 79767712 92462336 101902208 107911562 109680604 113218688 127135712 140115536 152057201 156962272 159535424 203804416 215823124 219361208 226437376 254271424 280231072 304114402 313924544 319070848 431646248 438722416 508542848 560462144 608228804 627849088 638141696 863292496 877444832 1017085696 1120924288 1216457608 1255698176 1672629211 1726584992 1754889664 2241848576 2432915216 3345258422 3453169984 3509779328 4865830432 6690516844 6906339968 7019558656 9731660864 13381033688 13812679936 19463321728 26762067376 38926643456 53524134752 107048269504 214096539008 428193078016
- Sum of all divisors σ(n): 985728909312
- Sum of proper divisors (its aliquot sum) s(n): 557535831296
- 428193078016 is an abundant number, because the sum of its proper divisors (557535831296) is greater than itself. Its abundance is 129342753280
Bases of 428193078016
- Binary: 1100011101100100100101111011011000000002
- Hexadecimal: 0x63B24BDB00
- Base-36: 5GPJ3PJ4
Squares and roots of 428193078016
- 428193078016 squared (4281930780162) is 183349312060816262496256
- 428193078016 cubed (4281930780163) is 78508906283437027623700880315908096
-
The
square root of 428193078016 is 654364.6368929177 -
The
cube root of 428193078016 is 7537.2550969333
Scales and comparisons
How big is 428193078016?- 428,193,078,016 seconds is equal to 13,615 years, 11 weeks, 1 day, 9 hours, 40 minutes, 16 seconds.
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To count from 1 to 428,193,078,016 would take you about twenty-seven thousand, two hundred thirty 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 428193078016 cubic inches would be around 628.1 feet tall.
Recreational maths with 428193078016
- 428193078016 backwards is 610870391824
- The number of decimal digits it has is: 12
- The sum of 428193078016's digits is 49
- More coming soon!
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