428084026315200
428,084,026,315,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428084026315200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3780 divisors.
428084026315200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, seven hundred eighty divisors.
Prime factorization of 428084026315200:
26 × 34 × 52 × 292 × 312 × 61 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 29 × 29 × 31 × 31 × 61 × 67)See below for interesting mathematical facts about the number 428084026315200 from the Numbermatics database.
Names of 428084026315200
- Cardinal: 428084026315200 can be written as Four hundred twenty-eight trillion, eighty-four billion, twenty-six million, three hundred fifteen thousand, two hundred.
Scientific notation
- Scientific notation: 4.280840263152 × 1014
Factors of 428084026315200
Divisors of 428084026315200
- Number of divisors d(n): 3780
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 31 32 36 40 45 48 50 54 58 60 61 62 64 67 72 75 80 81 87 90 93 96 100 108 116 120 122 124 134 135 144 145 150 155 160 162 174 180 183 186 192 200 201 216 225 232 240 244 248 261 268 270 279 288 290 300 305 310 320 324 335 348 360 366 372 400 402 405 432 435 450 464 465 480 488 496 522 536 540 549 558 576 580 600 603 610 620 648 670 675 696 720 725 732 744 775 783 800 804 810 837 841 864 870 899 900 915 928 930 960 961 976 992 1005 1044 1072 1080 1098 1116 1160 1200 1206 1220 1240 1296 1305 1340 1350 1392 1395 1440 1450 1464 1488 1525 1550 1566 1600 1608 1620 1647 1674 1675 1682 1728 1740 1769 1798 1800 1809 1830 1856 1860 1891 1922 1943 1952 1984 2010 2025 2077 2088 2144 2160 2175 2196 2232 2320 2325 2349 2400 2412 2440 2480 2511 2523 2592 2610 2680 2697 2700 2745 2784 2790 2880 2883 2900 2928 2976 3015 3050 3100 3132 3216 3240 3294 3348 3350 3364 3480 3538 3596 3600 3618 3660 3720 3782 3844 3886 3904 3915 4020 4050 4087 4154 4176 4185 4205 4288 4320 4350 4392 4464 4495 4575 4640 4650 4698 4800 4805 4824 4880 4941 4960 5022 5025 5046 5184 5220 5307 5360 5394 5400 5427 5490 5568 5580 5673 5766 5800 5829 5856 5952 6030 6100 6200 6231 6264 6432 6480 6525 6588 6696 6700 6728 6960 6975 7076 7192 7200 7236 7320 7440 7564 7569 7688 7772 7830 8040 8091 8100 8174 8235 8308 8352 8370 8410 8640 8649 8700 8784 8845 8928 8990 9045 9150 9280 9300 9396 9455 9610 9648 9715 9760 9882 9920 10044 10050 10092 10385 10440 10614 10720 10788 10800 10854 10980 11160 11346 11532 11600 11658 11712 11745 12060 12200 12261 12400 12462 12528 12555 12615 12864 12960 13050 13176 13392 13400 13456 13485 13725 13920 13950 14152 14384 14400 14415 14472 14640 14880 15075 15128 15138 15376 15544 15660 15921 16080 16182 16200 16348 16470 16616 16704 16740 16820 17019 17298 17400 17487 17568 17690 17856 17980 18090 18300 18600 18693 18792 18910 19220 19296 19430 19520 19575 19764 20088 20100 20184 20435 20770 20880 20925 21025 21228 21440 21576 21600 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39681500400 39933211410 40332016800 41004217080 41221379520 42418155600 42595425504 42620870800 43153631685 43319573600 43861068270 44064233280 44370234900 44545684320 45275941440 45560241200 46030540464 46129744215 46785139488 47328250560 47617800480 47948479650 48398420160 48734520300 49205060496 49495204800 49546762305 50901786720 51145044960 51255271350 51526724400 51983488320 52371424800 52849879792 52908667200 53244281880 54672289440 55080291600 55682105400 56557540800 56594926800 57538175580 58481424360 59160313200 59456114766 59522250600 60498025200 61374053952 61506325620 63627233400 63893138256 63931306200 64979360400 65606747328 66062349740 66555352350 68340361800 68702299200 69045810696 70177709232 70992375840 71922719475 73101780450 73440388800 73807590744 74242807200 75459902400 76717567440 76882907025 77975232480 78880417600 79274819688 79363000800 79866422820 80664033600 82008434160 82577937175 84836311200 85190851008 85241741600 86307263370 86639147200 87722136540 88740469800 89091368640 89184172149 91120482400 92061080928 92259488430 93570278976 95235600960 95896959300 97469040600 98410120992 99093524610 99833028525 101803573440 102290089920 102510542700 103053448800 104742849600 105699759584 106488563760 109344578880 109652670675 110160583200 111364210800 113189853600 115076351160 116962848720 118320626400 118912229532 119044501200 120996050400 123012651240 127254466800 127786276512 127862612400 129958720800 132124699480 133110704700 136680723600 138091621392 140355418464 141984751680 143845438950 146203560900 147615181488 148485614400 148640286915 153435134880 153765814050 155950464960 158549639376 158726001600 159732845640 164016868320 165155874350 169672622400 170483483200 172614526740 175444273080 177480939600 178368344298 182240964800 184122161856 184518976860 191793918600 194938081200 196820241984 198187049220 199666057050 205021085400 206106897600 211399519168 212977127520 215768158425 219305341350 220321166400 222728421600 226379707200 230152702320 230648721075 233925697440 236641252800 237824459064 238089002400 241992100800 246025302480 247733811525 254508933600 255572553024 255725224800 259917441600 264249398960 266221409400 267552516447 273361447200 276183242784 280710836928 287690877900 292407121800 295230362976 297280573830 306870269760 307531628100 317099278752 319465691280 328033736640 330311748700 345229053480 350888546160 354961879200 356736688596 369037953720 383587837200 389876162400 396374098440 399332114100 410042170800 425954255040 431536316850 438610682700 445456843200 445920860745 460305404640 461297442150 467851394880 475648918128 476178004800 492050604960 495467623050 509017867200 511450449600 528498797920 532442818800 535105032894 546722894400 552366485568 575381755800 584814243600 590460725952 594561147660 615063256200 634198557504 638931382560 660623497400 690458106960 701777092320 709923758400 713473377192 738075907440 743201434575 767175674400 779752324800 792748196880 798664228200 820084341600 863072633700 877221365400 891841721490 920610809280 922594884300 951297836256 984101209920 990935246100 1056997595840 1064885637600 1070210065788 1150763511600 1169628487200 1189122295320 1230126512400 1277862765120 1321246994800 1337762582235 1380916213920 1403554184640 1426946754384 1476151814880 1486402869150 1534351348800 1585496393760 1597328456400 1640168683200 1726145267400 1754442730800 1783683442980 1845189768600 1902595672512 1981870492200 2129771275200 2140420131576 2229604303725 2301527023200 2339256974400 2378244590640 2460253024800 2642493989600 2675525164470 2761832427840 2853893508768 2952303629760 2972805738300 3170992787520 3194656912800 3452290534800 3508885461600 3567366885960 3690379537200 3963740984400 4280840263152 4459208607450 4603054046400 4756489181280 4920506049600 5284987979200 5351050328940 5707787017536 5945611476600 6389313825600 6688812911175 6904581069600 7017770923200 7134733771920 7380759074400 7927481968800 8561680526304 8918417214900 9512978362560 10702100657880 11891222953200 13377625822350 13809162139200 14269467543840 14761518148800 15854963937600 17123361052608 17836834429800 21404201315760 23782445906400 26755251644700 28538935087680 35673668859600 42808402631520 47564891812800 53510503289400 71347337719200 85616805263040 107021006578800 142694675438400 214042013157600 428084026315200
- Sum of all divisors σ(n): 1737075883353096
- Sum of proper divisors (its aliquot sum) s(n): 1308991857037896
- 428084026315200 is an abundant number, because the sum of its proper divisors (1308991857037896) is greater than itself. Its abundance is 880907830722696
Bases of 428084026315200
- Binary: 11000010101010111000101000101001010010001110000002
- Hexadecimal: 0x18557145291C0
- Base-36: 47QR34GS00
Squares and roots of 428084026315200
- 428084026315200 squared (4280840263152002) is 183255933586232846089751040000
- 428084026315200 cubed (4280840263152003) is 78448937895745445193919575628376567808000000
-
The
square root of 428084026315200 is 20690191.5485381623 -
The
cube root of 428084026315200 is 75366.1518290273
Scales and comparisons
How big is 428084026315200?- 428,084,026,315,200 seconds is equal to 13,611,747 years, 46 weeks, 12 hours.
-
To count from 1 to 428,084,026,315,200 would take you about thirty-four million, twenty-nine thousand, three hundred sixty-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 428084026315200 cubic inches would be around 6280.5 feet tall.
Recreational maths with 428084026315200
- 428084026315200 backwards is 002513620480824
- 428084026315200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428084026315200's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 428084026315200 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 428084026315200 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/428084026315200/
Chicago style:
Numbermatics. 2024. "Number 428084026315200 - Facts about the integer". https://numbermatics.com/n/428084026315200/
The information we have on file for 428084026315200 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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