428276043631885680
428,276,043,631,885,680 is an even composite number composed of six prime numbers multiplied together.
428276043631885680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 428276043631885680:
24 × 33 × 5 × 7 × 11 × 2575012287349
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 11 × 2575012287349)See below for interesting mathematical facts about the number 428276043631885680 from the Numbermatics database.
Names of 428276043631885680
- Cardinal: 428276043631885680 can be written as Four hundred twenty-eight quadrillion, two hundred seventy-six trillion, forty-three billion, six hundred thirty-one million, eight hundred eighty-five thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.2827604363188568 × 1017
Factors of 428276043631885680
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 2575012287377
Divisors of 428276043631885680
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 33 35 36 40 42 44 45 48 54 55 56 60 63 66 70 72 77 80 84 88 90 99 105 108 110 112 120 126 132 135 140 144 154 165 168 176 180 189 198 210 216 220 231 240 252 264 270 280 297 308 315 330 336 360 378 385 396 420 432 440 462 495 504 528 540 560 594 616 630 660 693 720 756 770 792 840 880 924 945 990 1008 1080 1155 1188 1232 1260 1320 1386 1485 1512 1540 1584 1680 1848 1890 1980 2079 2160 2310 2376 2520 2640 2772 2970 3024 3080 3465 3696 3780 3960 4158 4620 4752 5040 5544 5940 6160 6930 7560 7920 8316 9240 10395 11088 11880 13860 15120 16632 18480 20790 23760 27720 33264 41580 55440 83160 166320 2575012287349 5150024574698 7725036862047 10300049149396 12875061436745 15450073724094 18025086011443 20600098298792 23175110586141 25750122873490 28325135160839 30900147448188 36050172022886 38625184310235 41200196597584 46350221172282 51500245746980 54075258034329 56650270321678 61800294896376 69525331758423 72100344045772 77250368620470 84975405482517 90125430057215 92700442344564 103000491493960 108150516068658 113300540643356 115875552930705 123600589792752 139050663516846 141625675804195 144200688091544 154500737240940 162225774102987 169950810965034 180250860114430 185400884689128 198275946125873 206000982987920 216301032137316 226601081286712 231751105861410 254926216447551 270376290171645 278101327033692 283251351608390 288401376183088 309001474481880 324451548205974 339901621930068 347626658792115 360501720228860 370801769378256 396551892251746 424877027412585 432602064274632 453202162573424 463502211722820 486677322308961 509852432895102 540752580343290 556202654067384 566502703216780 594827838377619 618002948963760 648903096411948 679803243860136 695253317584230 721003440457720 764778649342653 793103784503492 811128870514935 849754054825170 865204128549264 927004423445640 973354644617922 991379730629365 1019704865790204 1081505160686580 1112405308134768 1133005406433560 1189655676755238 1274631082237755 1297806192823896 1359606487720272 1390506635168460 1442006880915440 1529557298685306 1586207569006984 1622257741029870 1699508109650340 1784483515132857 1854008846891280 1946709289235844 1982759461258730 2039409731580408 2163010321373160 2266010812867120 2379311353510476 2433386611544805 2549262164475510 2595612385647792 2781013270336920 2974139191888095 3059114597370612 3172415138013968 3244515482059740 3399016219300680 3568967030265714 3823893246713265 3893418578471688 3965518922517460 4078819463160816 4326020642746320 4758622707020952 4866773223089610 5098524328951020 5353450545398571 5562026540673840 5948278383776190 6118229194741224 6489030964119480 6798032438601360 7137934060531428 7647786493426530 7786837156943376 7931037845034920 8922417575664285 9517245414041904 9733546446179220 10197048657902040 10706901090797142 11896556767552380 12236458389482448 12978061928238960 14275868121062856 15295572986853060 15862075690069840 17844835151328570 19467092892358440 20394097315804080 21413802181594284 23793113535104760 26767252726992855 28551736242125712 30591145973706120 35689670302657140 38934185784716880 42827604363188568 47586227070209520 53534505453985710 61182291947412240 71379340605314280 85655208726377136 107069010907971420 142758681210628560 214138021815942840 428276043631885680
- Sum of all divisors σ(n): 1839176776116864000
- Sum of proper divisors (its aliquot sum) s(n): 1410900732484978320
- 428276043631885680 is an abundant number, because the sum of its proper divisors (1410900732484978320) is greater than itself. Its abundance is 982624688853092640
Bases of 428276043631885680
- Binary: 101111100011000101011001010111001100111110011111101011100002
- Hexadecimal: 0x5F18ACAE67CFD70
- Base-36: 394Z6QBENWC0
Squares and roots of 428276043631885680
- 428276043631885680 squared (4282760436318856802) is 183420369548980846716807992589062400
- 428276043631885680 cubed (4282760436318856803) is 78554550191935916652973124291442955578657855186432000
-
The
square root of 428276043631885680 is 654428027.8471313151 -
The
cube root of 428276043631885680 is 753774.1865371891
Scales and comparisons
How big is 428276043631885680?- 428,276,043,631,885,680 seconds is equal to 13,617,853,442 years, 36 weeks, 6 days, 19 hours, 48 minutes.
-
To count from 1 to 428,276,043,631,885,680 would take you about forty billion, eight hundred fifty-three million, five hundred sixty thousand, three hundred twenty-eight 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 428276043631885680 cubic inches would be around 62814.5 feet tall.
Recreational maths with 428276043631885680
- 428276043631885680 backwards is 086588136340672824
- The number of decimal digits it has is: 18
- The sum of 428276043631885680's digits is 81
- More coming soon!
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