428713113398400
428,713,113,398,400 is an even composite number composed of seven prime numbers multiplied together.
428713113398400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 428713113398400:
27 × 34 × 52 × 17 × 19 × 107 × 47857
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 19 × 107 × 47857)See below for interesting mathematical facts about the number 428713113398400 from the Numbermatics database.
Names of 428713113398400
- Cardinal: 428713113398400 can be written as Four hundred twenty-eight trillion, seven hundred thirteen billion, one hundred thirteen million, three hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 4.287131133984 × 1014
Factors of 428713113398400
Divisors of 428713113398400
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 19 20 24 25 27 30 32 34 36 38 40 45 48 50 51 54 57 60 64 68 72 75 76 80 81 85 90 95 96 100 102 107 108 114 120 128 135 136 144 150 152 153 160 162 170 171 180 190 192 200 204 214 216 225 228 240 255 270 272 285 288 300 304 306 320 321 323 324 340 342 360 380 384 400 405 408 425 428 432 450 456 459 475 480 510 513 535 540 544 570 576 600 608 612 640 642 646 648 675 680 684 720 760 765 800 810 816 850 855 856 864 900 912 918 950 960 963 969 1020 1026 1070 1080 1088 1140 1152 1200 1216 1224 1275 1284 1292 1296 1350 1360 1368 1377 1425 1440 1520 1530 1539 1600 1605 1615 1620 1632 1700 1710 1712 1728 1800 1819 1824 1836 1900 1920 1926 1938 2025 2033 2040 2052 2140 2160 2176 2280 2295 2400 2432 2448 2550 2565 2568 2584 2592 2675 2700 2720 2736 2754 2850 2880 2889 2907 3040 3060 3078 3200 3210 3230 3240 3264 3400 3420 3424 3456 3600 3638 3648 3672 3800 3825 3852 3876 4050 4066 4080 4104 4275 4280 4320 4560 4590 4800 4815 4845 4896 5100 5130 5136 5168 5184 5350 5400 5440 5457 5472 5508 5700 5760 5778 5814 6080 6099 6120 6156 6420 6460 6480 6528 6800 6840 6848 6885 7200 7276 7296 7344 7600 7650 7695 7704 7752 8025 8075 8100 8132 8160 8208 8550 8560 8640 8667 8721 9095 9120 9180 9600 9630 9690 9792 10165 10200 10260 10272 10336 10368 10700 10800 10880 10914 10944 11016 11400 11475 11556 11628 12160 12198 12240 12312 12825 12840 12920 12960 13600 13680 13696 13770 14400 14445 14535 14552 14688 15200 15300 15390 15408 15504 16050 16150 16200 16264 16320 16371 16416 17100 17120 17280 17334 17442 18190 18240 18297 18360 19260 19380 19584 20330 20400 20520 20544 20672 21400 21600 21828 21888 22032 22800 22950 23112 23256 24075 24225 24396 24480 24624 25650 25680 25840 25920 26163 27200 27285 27360 27540 28800 28890 29070 29104 29376 30400 30495 30600 30780 30816 31008 32100 32300 32400 32528 32640 32742 32832 34200 34240 34425 34561 34668 34884 36380 36480 36594 36720 38475 38520 38760 40660 40800 41040 41088 41344 42800 43200 43335 43605 43656 44064 45475 45600 45900 46224 46512 47857 48150 48450 48792 48960 49113 49248 50825 51300 51360 51680 51840 52326 54400 54570 54720 54891 55080 57780 58140 58208 58752 60800 60990 61200 61560 61632 62016 64200 64600 64800 65056 65484 65664 68400 68480 68850 69122 69336 69768 72225 72675 72760 73188 73440 76950 77040 77520 81320 81600 81855 82080 85600 86400 86670 87210 87312 88128 90950 91200 91485 91800 92448 93024 95714 96300 96900 97584 97920 98226 98496 101650 102600 102720 103360 103683 104652 109140 109440 109782 110160 115560 116280 116416 121980 122400 123120 123264 124032 128400 129200 129600 130112 130815 130968 136425 136800 137700 138244 138672 139536 143571 144450 145350 145520 146376 146880 147339 152475 153900 154080 155040 162640 163200 163710 164160 164673 171200 172805 173340 174420 174624 176256 181900 182400 182970 183600 184896 186048 191428 192600 193800 195168 196452 196992 203300 205200 205440 206720 207366 209304 216675 218025 218280 219564 220320 231120 232560 232832 239285 243960 244800 245565 246240 256800 258400 259200 260224 261630 261936 272850 273600 274455 275400 276488 277344 279072 287142 288900 290700 291040 292752 293760 294678 304950 307800 308160 310080 311049 325280 327420 328320 329346 342400 345610 346680 348840 349248 363800 365940 367200 369792 372096 382856 385200 387600 390336 392904 406600 409275 410400 414732 418608 430713 433350 436050 436560 439128 440640 457425 462240 465120 478570 487920 489600 491130 492480 513600 516800 518415 523260 523872 545700 547200 548910 550800 552976 554688 558144 574284 577800 581400 582080 585504 589356 609900 615600 616320 620160 622098 650560 654075 654840 658692 691220 693360 697680 698496 717855 727600 731880 734400 736695 765712 770400 775200 780672 785808 813200 813569 818550 820800 823365 829464 837216 861426 864025 866700 872100 873120 878256 881280 909283 914850 924480 930240 933147 957140 975840 982260 984960 1027200 1033600 1036830 1046520 1047744 1091400 1097820 1101600 1105952 1109376 1116288 1148568 1155600 1162800 1164160 1171008 1178712 1196425 1219800 1227825 1231200 1244196 1292139 1301120 1308150 1309680 1317384 1372275 1382440 1386720 1395360 1435710 1455200 1463760 1468800 1473390 1531424 1540800 1550400 1555245 1571616 1626400 1627138 1637100 1641600 1646730 1658928 1674432 1722852 1728050 1733400 1744200 1746240 1756512 1818566 1829700 1848960 1860480 1866294 1914280 1951680 1964520 2073660 2093040 2095488 2153565 2182800 2195640 2203200 2211904 2297136 2311200 2325600 2342016 2357424 2392850 2439600 2440707 2455650 2462400 2488392 2584278 2592075 2616300 2619360 2634768 2727849 2744550 2764880 2773440 2790720 2799441 2871420 2910400 2927520 2946780 3062848 3081600 3100800 3110490 3143232 3252800 3254276 3274200 3293460 3317856 3348864 3445704 3456100 3466800 3488400 3492480 3513024 3589275 3637132 3659400 3683475 3732588 3828560 3876417 3903360 3929040 4067845 4116825 4147320 4186080 4307130 4365600 4391280 4406400 4423808 4546415 4594272 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4946499520 4961957331 5008330764 5223112980 5237470080 5253837174 5271927120 5530354920 5564811960 5571320512 5837596860 5857696800 5892153840 5899045248 5935799424 6144838800 6183124400 6202267200 6226769984 6260413455 6267735576 6528891225 6546837600 6589908900 6615943108 6636425904 6677774352 6912943650 6956014950 6964150640 7005116232 7029236160 7051202523 7296996075 7365192300 7373806560 7419749280 7783462480 7810262400 7834669470 7856205120 7880755761 8193118400 8269928885 8295532380 8347217940 8356980768 8435083392 8705188300 8729116800 8756395290 8786545200 8848567872 8903699136 8958211200 9217258200 9274686600 9340154976 9401603364 9427446144 9729328100 9820256400 9831742080 9892999040 9923914662 10016661528 10369415475 10434022425 10446225960 10507674348 10543854240 11060709840 11129623920 11142641024 11675193720 11715393600 11752004205 11784307680 12289677600 12366248800 12404534400 12453539968 12520826910 12535471152 13057782450 13093675200 13134592935 13179817800 13231886216 13272851808 13355548704 13825887300 13912029900 13928301280 14010232464 14058472320 14102405046 14593992150 14730384600 14747613120 14839498560 14885871993 15566924960 15669338940 15712410240 15761511522 16386236800 16539857770 16591064760 16694435880 16713961536 17410376600 17512790580 17573090400 17697135744 17807398272 18434516400 18549373200 18680309952 18803206728 19458656200 19586673675 19640512800 19847829324 20033323056 20738830950 20868044850 20892451920 21015348696 21087708480 21890988225 22121419680 22259247840 23350387440 23430787200 23504008410 23568615360 24579355200 24732497600 24809786655 25041653820 25070942304 26115564900 26187350400 26269185870 26359635600 26463772432 26545703616 26711097408 27651774600 27824059800 27856602560 28020464928 28204810092 29187984300 29460769200 29495226240 29678997120 29771743986 31133849920 31302067275 31338677880 31523023044 33079715540 33182129520 33388871760 33427923072 34820753200 35025581160 35146180800 35256012615 36869032800 37098746400 37360619904 37606413456 38917312400 39173347350 39281025600 39403778805 39695658648 40066646112 41349644425 41477661900 41736089700 41784903840 42030697392 42175416960 43781976450 44242839360 44518495680 44657615979 46700774880 47008016820 47137230720 49158710400 49464995200 49619573310 50083307640 50141884608 52231129800 52538371740 52719271200 52927544864 53091407232 53422194816 55303549200 55648119600 55713205120 56040929856 56409620184 58375968600 58760021025 58921538400 59543487972 62267699840 62604134550 62677355760 63046046088 65672964675 66159431080 66364259040 66777743520 69641506400 70051162320 70292361600 70512025230 73738065600 74197492800 74429359965 75212826912 77834624800 78346694700 78562051200 78807557610 79391317296 80133292224 82699288850 82955323800 83472179400 83569807680 84061394784 87563952900 88485678720 89036991360 89315231958 93401549760 94016033640 99239146620 100166615280 100283769216 104462259600 105076743480 105438542400 105855089728 110607098400 111296239200 112081859712 112819240368 116751937200 117520042050 117843076800 119086975944 124048933275 125208269100 125354711520 126092092176 131345929350 132318862160 132728518080 133555487040 133972847937 139283012800 140102324640 141024050460 147476131200 148394985600 148858719930 150425653824 155669249600 156693389400 157615115220 158782634592 160266584448 165398577700 165910647600 166944358800 167139615360 168122789568 175127905800 176280063075 178630463916 186803099520 188032067280 197018894025 198478293240 200333230560 208924519200 210153486960 210877084800 211710179456 221214196800 222592478400 223288079895 225638480736 233503874400 235040084100 235686153600 238173951888 248097866550 250416538200 250709423040 252184184352 262691858700 264637724320 265457036160 267110974080 267945695874 278566025600 280204649280 282048100920 297717439860 300851307648 311338499200 313386778800 315230230440 317565269184 330797155400 331821295200 333888717600 336245579136 350255811600 352560126150 357260927832 372146799825 376064134560 394037788050 396956586480 400666461120 417849038400 420306973920 442428393600 445184956800 446576159790 451276961472 467007748800 470080168200 476347903776 496195733100 500833076400 501418846080 504368368704 525383717400 529275448640 535891391748 560409298560 564096201840 595434879720 626773557600 630460460880 635130538368 661594310800 663642590400 667777435200 669864239685 700511623200 705120252300 714521855664 744293599650 752128269120 788075576100 793913172960 801332922240 835698076800 840613947840 893152319580 902553922944 934015497600 940160336400 952695807552 992391466200 1001666152800 1008736737408 1050767434800 1058550897280 1071782783496 1116440399475 1128192403680 1190869759440 1253547115200 1260920921760 1323188621600 1327285180800 1335554870400 1339728479370 1401023246400 1410240504600 1429043711328 1488587199300 1504256538240 1576151152200 1587826345920 1681227895680 1786304639160 1880320672800 1905391615104 1984782932400 2003332305600 2101534869600 2143565566992 2232880798950 2256384807360 2381739518880 2507094230400 2521841843520 2646377243200 2679456958740 2802046492800 2820481009200 2858087422656 2977174398600 3152302304400 3175652691840 3349321198425 3572609278320 3760641345600 3969565864800 4006664611200 4203069739200 4287131133984 4465761597900 4512769614720 4763479037760 5043683687040 5292754486400 5358913917480 5640962018400 5716174845312 5954348797200 6304604608800 6698642396850 7145218556640 7521282691200 7939131729600 8406139478400 8574262267968 8931523195800 9526958075520 10717827834960 11281924036800 11908697594400 12609209217600 13397284793700 14290437113280 15878263459200 17148524535936 17863046391600 21435655669920 22563848073600 23817395188800 25218418435200 26794569587400 28580874226560 35726092783200 42871311339840 47634790377600 53589139174800 71452185566400 85742622679680 107178278349600 142904371132800 214356556699200 428713113398400
- Sum of all divisors σ(n): 1779787065355200
- Sum of proper divisors (its aliquot sum) s(n): 1351073951956800
- 428713113398400 is an abundant number, because the sum of its proper divisors (1351073951956800) is greater than itself. Its abundance is 922360838558400
Bases of 428713113398400
- Binary: 11000010111101001100011001101010110101100100000002
- Hexadecimal: 0x185E98CD5AC80
- Base-36: 47YS32O800
Squares and roots of 428713113398400
- 428713113398400 squared (4287131133984002) is 183794933599749377597122560000
- 428713113398400 cubed (4287131133984003) is 78795298210400753235615024574822907904000000
-
The
square root of 428713113398400 is 20705388.5111678115 -
The
cube root of 428713113398400 is 75403.0516462671
Scales and comparisons
How big is 428713113398400?- 428,713,113,398,400 seconds is equal to 13,631,750 years, 47 weeks, 2 days.
-
To count from 1 to 428,713,113,398,400 would take you about thirty-four million, seventy-nine thousand, three hundred seventy-seven 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 428713113398400 cubic inches would be around 6283.6 feet tall.
Recreational maths with 428713113398400
- 428713113398400 backwards is 004893311317824
- 428713113398400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428713113398400's digits is 54
- More coming soon!
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"Number 428713113398400 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 428713113398400 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/428713113398400/
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The information we have on file for 428713113398400 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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