428543605597129344
428,543,605,597,129,344 is an even composite number composed of five prime numbers multiplied together.
428543605597129344 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 428543605597129344:
27 × 34 × 7 × 17 × 347338615907
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 17 × 347338615907)See below for interesting mathematical facts about the number 428543605597129344 from the Numbermatics database.
Names of 428543605597129344
- Cardinal: 428543605597129344 can be written as Four hundred twenty-eight quadrillion, five hundred forty-three trillion, six hundred five billion, five hundred ninety-seven million, one hundred twenty-nine thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 4.28543605597129344 × 1017
Factors of 428543605597129344
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 347338615936
Divisors of 428543605597129344
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 51 54 56 63 64 68 72 81 84 96 102 108 112 119 126 128 136 144 153 162 168 189 192 204 216 224 238 252 272 288 306 324 336 357 378 384 408 432 448 459 476 504 544 567 576 612 648 672 714 756 816 864 896 918 952 1008 1071 1088 1134 1152 1224 1296 1344 1377 1428 1512 1632 1728 1836 1904 2016 2142 2176 2268 2448 2592 2688 2754 2856 3024 3213 3264 3456 3672 3808 4032 4284 4536 4896 5184 5508 5712 6048 6426 6528 7344 7616 8064 8568 9072 9639 9792 10368 11016 11424 12096 12852 14688 15232 17136 18144 19278 19584 22032 22848 24192 25704 29376 34272 36288 38556 44064 45696 51408 58752 68544 72576 77112 88128 102816 137088 154224 176256 205632 308448 411264 616896 1233792 347338615907 694677231814 1042015847721 1389354463628 2084031695442 2431370311349 2778708927256 3126047543163 4168063390884 4862740622698 5557417854512 5904756470419 6252095086326 7294110934047 8336126781768 9378142629489 9725481245396 11114835709024 11809512940838 12504190172652 14588221868094 16672253563536 17714269411257 18756285258978 19450962490792 21882332802141 22229671418048 23619025881676 25008380345304 28134427888467 29176443736188 33344507127072 35428538822514 37512570517956 38901924981584 41333295292933 43764665604282 44459342836096 47238051763352 50016760690608 53142808233771 56268855776934 58352887472376 65646998406423 66689014254144 70857077645028 75025141035912 77803849963168 82666590585866 87529331208564 94476103526704 100033521381216 106285616467542 112537711553868 116705774944752 123999885878799 131293996812846 133378028508288 141714155290056 150050282071824 155607699926336 159428424701313 165333181171732 175058662417128 188952207053408 196940995219269 200067042762432 212571232935084 225075423107736 233411549889504 247999771757598 262587993625692 283428310580112 300100564143648 311215399852672 318856849402626 330666362343464 350117324834256 371999657636397 377904414106816 393881990438538 400134085524864 425142465870168 450150846215472 466823099779008 478285274103939 495999543515196 525175987251384 566856621160224 600201128287296 637713698805252 661332724686928 700234649668512 743999315272794 755808828213632 787763980877076 850284931740336 900301692430944 933646199558016 956570548207878 991999087030392 1050351974502768 1115998972909191 1133713242320448 1200402256574592 1275427397610504 1322665449373856 1400469299337024 1487998630545588 1575527961754152 1700569863480672 1800603384861888 1913141096415756 1983998174060784 2100703949005536 2231997945818382 2267426484640896 2550854795221008 2645330898747712 2800938598674048 2975997261091176 3151055923508304 3347996918727573 3401139726961344 3601206769723776 3826282192831512 3967996348121568 4201407898011072 4463995891636764 5101709590442016 5290661797495424 5951994522182352 6302111847016608 6695993837455146 6802279453922688 7652564385663024 7935992696243136 8402815796022144 8927991783273528 10203419180884032 11903989044364704 12604223694033216 13391987674910292 15305128771326048 15871985392486272 17855983566547056 20406838361768064 23807978088729408 25208447388066432 26783975349820584 30610257542652096 35711967133094112 47615956177458816 53567950699641168 61220515085304192 71423934266188224 107135901399282336 142847868532376448 214271802798564672 428543605597129344
- Sum of all divisors σ(n): 1543267151113152960
- Sum of proper divisors (its aliquot sum) s(n): 1114723545516023616
- 428543605597129344 is an abundant number, because the sum of its proper divisors (1114723545516023616) is greater than itself. Its abundance is 686179939918894272
Bases of 428543605597129344
- Binary: 101111100100111111000100011100001100110000111001010100000002
- Hexadecimal: 0x5F27E238661CA80
- Base-36: 397M12L4IW00
Squares and roots of 428543605597129344
- 428543605597129344 squared (4285436055971293442) is 183649621898187948814653693465870336
- 428543605597129344 cubed (4285436055971293443) is 78701871134798984802500175288828755818453520124739584
-
The
square root of 428543605597129344 is 654632420.2154437631 -
The
cube root of 428543605597129344 is 753931.1252847453
Scales and comparisons
How big is 428543605597129344?- 428,543,605,597,129,344 seconds is equal to 13,626,361,085 years, 30 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 428,543,605,597,129,344 would take you about forty billion, eight hundred seventy-nine million, eighty-three thousand, two hundred fifty-six 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 428543605597129344 cubic inches would be around 62827.6 feet tall.
Recreational maths with 428543605597129344
- 428543605597129344 backwards is 443921795506345824
- 428543605597129344 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 428543605597129344's digits is 81
- More coming soon!
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