428287433728000
428,287,433,728,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 428287433728000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2016 divisors.
428287433728000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 428287433728000:
213 × 53 × 72 × 115 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 11 × 11 × 53)See below for interesting mathematical facts about the number 428287433728000 from the Numbermatics database.
Names of 428287433728000
- Cardinal: 428287433728000 can be written as Four hundred twenty-eight trillion, two hundred eighty-seven billion, four hundred thirty-three million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.28287433728 × 1014
Factors of 428287433728000
Divisors of 428287433728000
- Number of divisors d(n): 2016
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 53 55 56 64 70 77 80 88 98 100 106 110 112 121 125 128 140 154 160 175 176 196 200 212 220 224 242 245 250 256 265 275 280 308 320 350 352 371 385 392 400 424 440 448 484 490 500 512 530 539 550 560 583 605 616 640 700 704 742 770 784 800 847 848 875 880 896 968 980 1000 1024 1060 1078 1100 1120 1166 1210 1225 1232 1280 1325 1331 1375 1400 1408 1484 1540 1568 1600 1694 1696 1750 1760 1792 1855 1925 1936 1960 2000 2048 2120 2156 2200 2240 2332 2420 2450 2464 2560 2597 2650 2662 2695 2750 2800 2816 2915 2968 3025 3080 3136 3200 3388 3392 3500 3520 3584 3710 3850 3872 3920 4000 4081 4096 4235 4240 4312 4400 4480 4664 4840 4900 4928 5120 5194 5300 5324 5390 5500 5600 5632 5830 5929 5936 6050 6125 6160 6272 6400 6413 6625 6655 6776 6784 7000 7040 7168 7420 7700 7744 7840 8000 8162 8192 8470 8480 8624 8800 8960 9275 9317 9328 9625 9680 9800 9856 10240 10388 10600 10648 10780 11000 11200 11264 11660 11858 11872 12100 12250 12320 12544 12800 12826 12985 13250 13310 13475 13552 13568 14000 14080 14336 14575 14641 14840 15125 15400 15488 15680 16000 16324 16940 16960 17248 17600 17920 18550 18634 18656 19250 19360 19600 19712 20405 20480 20776 21175 21200 21296 21560 22000 22400 22528 23320 23716 23744 24200 24500 24640 25088 25600 25652 25970 26500 26620 26950 27104 27136 28000 28160 28567 28672 29150 29282 29645 29680 30250 30800 30976 31360 32000 32065 32648 33275 33880 33920 34496 35200 35840 37100 37268 37312 38500 38720 39200 39424 40810 40960 41552 42350 42400 42592 43120 44000 44800 44891 45056 46375 46585 46640 47432 47488 48400 49000 49280 50176 51200 51304 51940 53000 53240 53900 54208 54272 56000 56320 57134 57344 58300 58564 59290 59360 60500 61600 61952 62720 64000 64130 64925 65219 65296 66550 67375 67760 67840 68992 70400 70543 71680 72875 73205 74200 74536 74624 77000 77440 78400 78848 81620 83104 84700 84800 85184 86240 88000 89600 89782 90112 92750 93170 93280 94864 94976 96800 98000 98560 100352 102025 102400 102487 102608 103880 105875 106000 106480 107800 108416 108544 112000 112640 114268 116600 117128 118580 118720 121000 123200 123904 125440 128000 128260 129850 130438 130592 133100 134750 135520 135680 137984 140800 141086 142835 143360 145750 146410 148225 148400 149072 149248 154000 154880 156800 157696 160325 161051 163240 166208 166375 169400 169600 170368 172480 176000 179200 179564 185500 186340 186560 189728 189952 193600 196000 197120 200704 204050 204800 204974 205216 207760 211750 212000 212960 215600 216832 217088 224000 224455 225280 228536 232925 233200 234256 237160 237440 242000 246400 247808 250880 256000 256520 259700 260876 261184 266200 269500 271040 271360 275968 281600 282172 285670 286720 291500 292820 296450 296800 298144 298496 308000 309760 313600 314237 315392 320650 322102 324625 326095 326480 332416 332750 338800 339200 340736 344960 352000 352715 358400 359128 366025 371000 372680 373120 379456 379904 387200 392000 394240 401408 408100 409948 410432 415520 423500 424000 425920 431200 433664 434176 448000 448910 450560 457072 465850 466400 468512 474320 474880 484000 492800 493801 495616 501760 510125 512000 512435 513040 519400 521752 522368 532400 539000 542080 542720 551936 563200 564344 571340 583000 585640 592900 593600 596288 596992 616000 619520 627200 628474 630784 641300 644204 649250 652190 652960 664832 665500 677600 678400 681472 689920 704000 705430 714175 716800 717409 718256 732050 741125 742000 745360 746240 758912 759808 774400 775973 784000 788480 801625 805255 816200 819896 820864 831040 847000 848000 851840 862400 867328 896000 897820 914144 931700 932800 937024 948640 949760 968000 985600 987602 991232 1003520 1020250 1024000 1024870 1026080 1038800 1043504 1044736 1064800 1078000 1084160 1085440 1103872 1122275 1126400 1127357 1128688 1142680 1164625 1166000 1171280 1185800 1187200 1192576 1193984 1232000 1239040 1254400 1256948 1282600 1288408 1298500 1304380 1305920 1329664 1331000 1355200 1356800 1362944 1379840 1408000 1410860 1428350 1433600 1434818 1436512 1464100 1482250 1484000 1490720 1492480 1517824 1519616 1548800 1551946 1568000 1571185 1576960 1603250 1610510 1630475 1632400 1639792 1641728 1662080 1694000 1696000 1703680 1724800 1734656 1763575 1792000 1795640 1828288 1830125 1863400 1865600 1874048 1897280 1899520 1936000 1971200 1975204 2007040 2040500 2049740 2052160 2077600 2087008 2089472 2129600 2156000 2168320 2170880 2207744 2244550 2252800 2254714 2257376 2285360 2329250 2332000 2342560 2371600 2374400 2385152 2387968 2464000 2469005 2478080 2508800 2513896 2562175 2565200 2576816 2597000 2608760 2611840 2659328 2662000 2710400 2713600 2725888 2759680 2816000 2821720 2856700 2869636 2873024 2928200 2964500 2968000 2981440 2984960 3035648 3039232 3097600 3103892 3136000 3142370 3153920 3206500 3221020 3260950 3264800 3279584 3283456 3324160 3388000 3392000 3407360 3449600 3456607 3469312 3527150 3570875 3584000 3587045 3591280 3656576 3660250 3726800 3731200 3748096 3794560 3799040 3872000 3879865 3942400 3950408 4026275 4081000 4099480 4104320 4155200 4174016 4178944 4259200 4312000 4336640 4415488 4489100 4509428 4514752 4570720 4658500 4664000 4685120 4743200 4748800 4770304 4775936 4928000 4938010 4956160 5017600 5027792 5124350 5130400 5153632 5194000 5217520 5223680 5318656 5324000 5420800 5427200 5431811 5451776 5519360 5611375 5632000 5636785 5643440 5713400 5739272 5746048 5856400 5929000 5936000 5962880 5969920 6071296 6195200 6207784 6272000 6284740 6413000 6442040 6521900 6529600 6559168 6566912 6648320 6776000 6784000 6814720 6899200 6913214 6938624 7054300 7141750 7168000 7174090 7182560 7313152 7320500 7453600 7462400 7496192 7589120 7598080 7744000 7759730 7855925 7884800 7891499 7900816 8052550 8152375 8162000 8198960 8208640 8310400 8348032 8357888 8518400 8535703 8624000 8673280 8817875 8978200 9018856 9029504 9141440 9317000 9328000 9370240 9486400 9497600 9540608 9856000 9876020 10035200 10055584 10248700 10260800 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12415568000 12626398400 12641305600 12871147520 13118336000 13356851200 13383982304 13657124800 13826428000 13905436160 14158262272 14430169600 14447206400 14626304000 14692536320 14937480250 14992384000 15209070800 15295979776 15782998000 15801632000 15891927040 16088934400 16161789952 16491622400 16696064000 16729977880 17071406000 17381795200 17481119744 17697827840 18037712000 18059008000 18365670400 19011338500 19119974720 19467610624 19864908800 20111168000 20202237440 20226088960 20614528000 20912472350 20989337600 21727244000 21851399680 22122284800 22248697856 22957088000 22984192000 23088271360 23899968400 24334513280 24831136000 25252796800 25282611200 26236672000 26767964608 27314249600 27652856000 27810872320 28316524544 28860339200 29252608000 29385072640 29874960500 30418141600 30591959552 31565996000 31603264000 31783854080 32177868800 32323579904 32983244800 33392128000 33459955760 34142812000 34763590400 34962239488 35395655680 36075424000 36118016000 36731340800 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158919270400 160889344000 161617899520 164916224000 167299778800 173817952000 174811197440 176978278400 183656704000 191199747200 194676106240 198649088000 202022374400 209124723500 214143716864 218513996800 221222848000 222486978560 230882713600 238999684000 243345132800 244735676416 252527968000 252826112000 267679646080 273142496000 278108723200 288603392000 304181416000 305919595520 311481769984 321778688000 323235799040 334599557600 347635904000 349622394880 353956556800 367313408000 382399494400 389352212480 397298176000 404044748800 418249447000 428287433728 437027993600 442445696000 477999368000 486690265600 489471352832 505055936000 505652224000 535359292160 546284992000 556217446400 577206784000 608362832000 611839191040 669199115200 695271808000 707913113600 734626816000 764798988800 778704424960 794596352000 808089497600 836498894000 856574867456 874055987200 884891392000 955998736000 973380531200 1010111872000 1070718584320 1092569984000 1112434892800 1154413568000 1216725664000 1223678382080 1338398230400 1390543616000 1529597977600 1557408849920 1616178995200 1672997788000 1713149734912 1748111974400 1769782784000 1911997472000 1946761062400 2020223744000 2141437168640 2185139968000 2433451328000 2447356764160 2676796460800 2781087232000 3059195955200 3345995576000 3426299469824 3539565568000 3823994944000 3893522124800 4040447488000 4282874337280 4370279936000 4866902656000 5353592921600 5562174464000 6118391910400 6691991152000 7647989888000 7787044249600 8080894976000 8565748674560 8740559872000 9733805312000 10707185843200 12236783820800 13383982304000 15295979776000 17131497349120 19467610624000 21414371686400 26767964608000 30591959552000 38935221248000 42828743372800 53535929216000 61183919104000 85657486745600 107071858432000 214143716864000 428287433728000
- Sum of all divisors σ(n): 1393614033293664
- Sum of proper divisors (its aliquot sum) s(n): 965326599565664
- 428287433728000 is an abundant number, because the sum of its proper divisors (965326599565664) is greater than itself. Its abundance is 537039165837664
Bases of 428287433728000
- Binary: 11000010110000110011100000101100101100000000000002
- Hexadecimal: 0x1858670596000
- Base-36: 47TCJ3ZK74
Squares and roots of 428287433728000
- 428287433728000 squared (4282874337280002) is 183430125889315991977984000000
- 428287433728000 cubed (4282874337280003) is 78560817885539119977521402035044352000000000
-
The
square root of 428287433728000 is 20695106.5164690563 -
The
cube root of 428287433728000 is 75378.0868741693
Scales and comparisons
How big is 428287433728000?- 428,287,433,728,000 seconds is equal to 13,618,215 years, 31 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 428,287,433,728,000 would take you about thirty-four million, forty-five thousand, five 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 428287433728000 cubic inches would be around 6281.5 feet tall.
Recreational maths with 428287433728000
- 428287433728000 backwards is 000827334782824
- The number of decimal digits it has is: 15
- The sum of 428287433728000's digits is 58
- More coming soon!
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Cite this page
MLA style:
"Number 428287433728000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 428287433728000 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/428287433728000/
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The information we have on file for 428287433728000 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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