428128938406400
428,128,938,406,400 is an even composite number composed of seven prime numbers multiplied together.
428128938406400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 428128938406400:
29 × 52 × 73 × 11 × 292 × 83 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 11 × 29 × 29 × 83 × 127)See below for interesting mathematical facts about the number 428128938406400 from the Numbermatics database.
Names of 428128938406400
- Cardinal: 428128938406400 can be written as Four hundred twenty-eight trillion, one hundred twenty-eight billion, nine hundred thirty-eight million, four hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 4.281289384064 × 1014
Factors of 428128938406400
Divisors of 428128938406400
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 29 32 35 40 44 49 50 55 56 58 64 70 77 80 83 88 98 100 110 112 116 127 128 140 145 154 160 166 175 176 196 200 203 220 224 232 245 254 256 275 280 290 308 319 320 332 343 350 352 385 392 400 406 415 440 448 464 490 508 512 539 550 560 580 581 616 635 638 640 664 686 700 704 725 770 784 800 812 830 841 880 889 896 913 928 980 1015 1016 1078 1100 1120 1160 1162 1225 1232 1270 1276 1280 1328 1372 1397 1400 1408 1421 1450 1540 1568 1595 1600 1624 1660 1682 1715 1760 1778 1792 1826 1856 1925 1960 2030 2032 2075 2156 2200 2233 2240 2320 2324 2407 2450 2464 2540 2552 2560 2656 2695 2744 2794 2800 2816 2842 2900 2905 3080 3136 3175 3190 3200 3248 3320 3364 3430 3520 3556 3584 3652 3683 3712 3773 3850 3920 4060 4064 4067 4150 4205 4312 4400 4445 4466 4480 4565 4640 4648 4814 4900 4928 5075 5080 5104 5312 5390 5488 5588 5600 5632 5684 5800 5810 5887 6160 6223 6272 6350 6380 6391 6400 6496 6640 6728 6860 6985 7040 7105 7112 7304 7366 7424 7546 7700 7840 7975 8120 8128 8134 8300 8410 8575 8624 8800 8890 8932 8960 9130 9251 9280 9296 9628 9779 9800 9856 9947 10150 10160 10208 10541 10624 10780 10976 11165 11176 11200 11368 11600 11620 11774 12035 12320 12446 12544 12700 12760 12782 12800 12992 13280 13456 13475 13720 13970 14080 14210 14224 14525 14608 14732 14848 15092 15400 15631 15680 15950 16240 16256 16268 16600 16820 16849 17150 17248 17600 17780 17864 17920 18260 18415 18502 18560 18592 18865 19256 19558 19600 19712 19894 20300 20320 20335 20416 21025 21082 21248 21560 21952 22225 22330 22352 22400 22736 22825 23200 23240 23548 24070 24640 24892 25088 25400 25520 25564 25781 25984 26477 26560 26912 26950 27440 27940 28160 28420 28448 28469 29050 29216 29435 29464 30184 30800 31115 31262 31360 31900 31955 32480 32512 32536 33200 33640 33698 34300 34496 34925 35200 35525 35560 35728 36520 36830 37004 37120 37184 37730 38512 39116 39200 39424 39788 40513 40600 40640 40670 40832 41209 42050 42164 42496 43120 43561 43904 44450 44660 44704 44737 44800 45472 45650 46255 46400 46480 47096 48140 48895 49280 49735 49784 50800 51040 51128 51562 51968 52705 52954 53120 53824 53900 54880 55825 55880 56840 56896 56938 58100 58432 58870 58928 60175 60368 61600 62230 62524 62720 63800 63910 64757 64960 65024 65072 66400 67280 67396 68453 68600 68992 69803 69850 70400 71050 71120 71456 73040 73660 73787 74008 74240 74368 75460 77024 78155 78232 78400 79576 81026 81200 81280 81340 81664 82418 84100 84245 84328 86240 87122 87808 88900 89320 89408 89474 89600 90944 91300 92075 92510 92800 92960 94192 94325 96280 97790 98560 99470 99568 101600 101675 102080 102256 103124 103936 105410 105908 106240 106807 107648 107800 109417 109760 111650 111760 113680 113792 113876 115951 116200 116864 117740 117856 117943 120350 120736 123200 124460 125048 125440 127600 127820 128905 129514 129920 130144 132385 132800 134560 134792 136906 137200 137984 139606 139700 140800 142100 142240 142345 142912 146080 147175 147320 147574 148016 148736 150920 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34750725520 35573655040 36362233600 36844142720 36907667104 37660884800 38225798072 38307886400 38345628160 39005916400 39715114880 40298281100 40615590400 41940530800 42138675040 42180190976 43041011200 43438406900 43686626368 43780441600 44467068800 46055178400 46134583880 46279206400 46892545280 47782247590 47932035200 48158485760 48651015728 49643893600 49927572992 50907127040 51581799808 52634489600 52673343800 52725238720 53683879424 54608282960 55601160832 56735878400 57668229850 58122310400 58615681600 60198107200 60257415680 60813769660 61292618240 62409466240 63633908800 64477249760 65906548400 66895146626 66989350400 67104849280 67421880064 68260353700 68797836800 69501451040 72724467200 73688285440 73815334208 75321769600 76017212075 76451596144 76615772800 78011832800 79430229760 80596562200 83881061600 84277350080 84360381952 86876813800 87373252736 88934137600 92110356800 92269167760 93785090560 95564495180 95864070400 96316971520 97302031456 99287787200 101814254080 103163599616 105268979200 105346687600 105450477440 109216565920 111202321664 113471756800 115336459700 116244620800 117231363200 119455618975 120396214400 121627539320 124818932480 127267817600 128954499520 131813096800 133790293252 134209698560 134843760128 136520707400 139002902080 147376570880 147630668416 150643539200 152034424150 152903192288 153231545600 156023665600 158860459520 161193124400 167237866565 167762123200 168554700160 173753627600 174746505472 177868275200 184220713600 184538335520 191128990360 191728140800 194604062912 198575574400 206327199232 210693375200 210900954880 218433131840 222404643328 230672919400 234462726400 238911237950 240792428800 243255078640 249637864960 254535635200 257908999040 263626193600 267580586504 268419397120 273041414800 278005804160 295261336832 301287078400 304068848300 305806384576 306463091200 312047331200 322386248800 334475733130 335524246400 337109400320 347507255200 349493010944 368441427200 369076671040 382257980720 389208125824 397151148800 421386750400 421801909760 436866263680 461345838800 468925452800 477822475900 481584857600 486510157280 509071270400 515817998080 527252387200 535161173008 546082829600 556011608320 590522673664 608137696600 611612769152 624094662400 644772497600 668951466260 671048492800 674218800640 695014510400 736882854400 738153342080 764515961440 778416251648 794302297600 836189332825 842773500800 873732527360 922691677600 955644951800 973020314560 1031635996160 1054504774400 1070322346016 1092165659200 1112023216640 1216275393200 1223225538304 1248189324800 1289544995200 1337902932520 1342096985600 1390029020800 1476306684160 1529031922880 1556832503296 1672378665650 1685547001600 1747465054720 1845383355200 1911289903600 1946040629120 2109009548800 2140644692032 2184331318400 2432550786400 2446451076608 2579089990400 2675805865040 2780058041600 2952613368320 3058063845760 3344757331300 3371094003200 3690766710400 3822579807200 3892081258240 4281289384064 4368662636800 4865101572800 5158179980800 5351611730080 5560116083200 6116127691520 6689514662600 7381533420800 7645159614400 7784162516480 8562578768128 8737325273600 9730203145600 10703223460160 12232255383040 13379029325200 14763066841600 15290319228800 17125157536256 19460406291200 21406446920320 26758058650400 30580638457600 38920812582400 42812893840640 53516117300800 61161276915200 85625787681280 107032234601600 214064469203200 428128938406400
- Sum of all divisors σ(n): 1425561558220800
- Sum of proper divisors (its aliquot sum) s(n): 997432619814400
- 428128938406400 is an abundant number, because the sum of its proper divisors (997432619814400) is greater than itself. Its abundance is 569303681408000
Bases of 428128938406400
- Binary: 11000010101100001100010010100101010110010000000002
- Hexadecimal: 0x18561894AB200
- Base-36: 47RBPVYRCW
Squares and roots of 428128938406400
- 428128938406400 squared (4281289384064002) is 183294387900991044971560960000
- 428128938406400 cubed (4281289384064003) is 78473631707902184474147394683502854144000000
-
The
square root of 428128938406400 is 20691276.8674724373 -
The
cube root of 428128938406400 is 75368.7873965873
Scales and comparisons
How big is 428128938406400?- 428,128,938,406,400 seconds is equal to 13,613,175 years, 49 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 428,128,938,406,400 would take you about thirty-four million, thirty-two thousand, nine hundred thirty-nine 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 428128938406400 cubic inches would be around 6280.7 feet tall.
Recreational maths with 428128938406400
- 428128938406400 backwards is 004604839821824
- The number of decimal digits it has is: 15
- The sum of 428128938406400's digits is 59
- More coming soon!
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Cite this page
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"Number 428128938406400 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 428128938406400 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/428128938406400/
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The information we have on file for 428128938406400 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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