428397190200
428,397,190,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 428397190200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
428397190200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 428397190200:
23 × 35 × 52 × 73 × 31 × 829
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 31 × 829)See below for interesting mathematical facts about the number 428397190200 from the Numbermatics database.
Names of 428397190200
- Cardinal: 428397190200 can be written as Four hundred twenty-eight billion, three hundred ninety-seven million, one hundred ninety thousand, two hundred.
Scientific notation
- Scientific notation: 4.283971902 × 1011
Factors of 428397190200
Divisors of 428397190200
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 27 28 30 31 35 36 40 42 45 49 50 54 56 60 62 63 70 72 75 81 84 90 93 98 100 105 108 120 124 126 135 140 147 150 155 162 168 175 180 186 189 196 200 210 216 217 225 243 245 248 252 270 279 280 294 300 310 315 324 343 350 360 372 378 392 405 420 434 441 450 465 486 490 504 525 540 558 567 588 600 620 630 648 651 675 686 700 735 744 756 775 810 829 837 840 868 882 900 930 945 972 980 1029 1050 1080 1085 1116 1134 1176 1215 1225 1240 1260 1302 1323 1350 1372 1395 1400 1470 1512 1519 1550 1575 1620 1658 1674 1701 1715 1736 1764 1800 1860 1890 1944 1953 1960 2025 2058 2100 2170 2205 2232 2268 2325 2430 2450 2487 2511 2520 2604 2646 2700 2744 2790 2835 2940 3038 3087 3100 3150 3240 3255 3316 3348 3402 3430 3528 3675 3720 3780 3906 3969 4050 4116 4145 4185 4200 4340 4410 4536 4557 4650 4725 4860 4900 4974 5022 5145 5208 5292 5400 5425 5580 5670 5803 5859 5880 6075 6076 6174 6200 6300 6510 6615 6632 6696 6804 6860 6975 7350 7461 7533 7560 7595 7812 7938 8100 8232 8290 8370 8505 8575 8680 8820 9114 9261 9300 9450 9720 9765 9800 9948 10044 10290 10584 10633 10850 11025 11160 11340 11606 11718 11907 12150 12152 12348 12435 12555 12600 13020 13230 13608 13671 13720 13950 14175 14700 14922 15066 15190 15435 15624 15876 16200 16275 16580 16740 17010 17150 17409 17577 17640 18228 18522 18600 18900 19530 19845 19896 20088 20580 20725 20925 21266 21700 22050 22383 22680 22785 23212 23436 23814 24300 24696 24870 25110 25699 25725 26040 26460 27342 27783 27900 28350 29015 29295 29400 29844 30132 30380 30870 31752 31899 32550 33075 33160 33480 34020 34300 34818 35154 36456 37044 37305 37665 37800 37975 39060 39690 40621 41013 41160 41450 41850 42525 42532 43400 44100 44766 45570 46305 46424 46872 47628 48600 48825 49740 50220 51398 51450 52227 52731 52920 53165 54684 55566 55800 56700 58030 58590 59535 59688 60264 60760 61740 62175 62775 63798 65100 66150 67149 68040 68355 68600 69636 70308 74088 74610 75330 75950 77097 77175 78120 79380 81242 82026 82900 83349 83700 85050 85064 87045 87885 88200 89532 91140 92610 95256 95697 97650 99225 99480 100440 102796 102900 104454 105462 106330 109368 111132 111915 113400 113925 116060 117180 119070 121863 123039 123480 124350 125550 127596 128495 130200 132300 134298 136710 138915 139272 140616 145075 146475 149220 150660 151900 154194 154350 156681 158760 159495 162484 164052 165800 166698 167400 170100 174090 175770 179064 179893 182280 185220 186525 188325 191394 195300 198450 201447 203105 205065 205592 205800 208908 210924 212660 222264 223830 227850 231291 231525 232120 234360 238140 243726 246078 248700 251100 255192 256990 261135 263655 264600 265825 268596 273420 277830 284347 287091 290150 292950 297675 298440 301320 303800 308388 308700 313362 318990 324968 328104 333396 335745 340200 341775 348180 351540 359786 365589 369117 370440 373050 376650 382788 385485 390600 396900 402894 406210 410130 416745 417816 421848 425320 435225 439425 447660 455700 462582 463050 470043 476280 478485 487452 492156 497400 502200 513980 522270 527310 531650 537192 539679 546840 555660 559575 568694 574182 580300 585900 595350 609315 615195 616776 617400 626724 637980 642475 666792 671490 683550 693873 694575 696360 703080 719572 731178 738234 746100 753300 765576 770970 783405 793800 797475 805788 812420 820260 833490 853041 861273 870450 878850 895320 899465 911400 925164 926100 940086 956970 974904 984312 1007235 1015525 1025325 1027960 1044540 1054620 1063300 1079358 1096767 1111320 1119150 1137388 1148364 1156455 1160600 1171800 1190700 1218630 1230390 1253448 1259251 1275960 1284950 1305675 1318275 1342980 1367100 1387746 1389150 1410129 1421735 1435455 1439144 1462356 1476468 1492200 1506600 1541940 1566810 1594950 1611576 1619037 1624840 1640520 1666980 1678725 1706082 1722546 1740900 1757700 1798930 1827945 1845585 1850328 1852200 1880172 1913940 1927425 2014470 2031050 2050650 2081619 2083725 2089080 2109240 2126600 2158716 2193534 2238300 2274776 2296728 2312910 2350215 2381400 2392425 2437260 2460780 2518502 2559123 2569900 2583819 2611350 2636550 2685960 2698395 2734200 2775492 2778300 2820258 2843470 2870910 2924712 2952936 3046575 3075975 3083880 3133620 3189900 3238074 3290301 3333960 3357450 3412164 3445092 3469365 3481800 3515400 3597860 3655890 3691170 3760344 3777753 3827880 3854850 3917025 4028940 4062100 4101300 4163238 4167450 4265205 4306365 4317432 4387068 4476600 4497325 4625820 4700430 4784850 4857111 4874520 4921560 5036175 5037004 5118246 5139800 5167638 5222700 5273100 5396790 5483835 5550984 5556600 5640516 5686940 5741820 5782275 6093150 6151950 6244857 6267240 6296255 6379800 6476148 6580602 6714900 6824328 6890184 6938730 7050645 7108675 7177275 7195720 7311780 7382340 7555506 7677369 7709700 7834050 8057880 8095185 8124200 8202600 8326476 8334900 8530410 8612730 8774136 8814757 8994650 9139725 9227925 9251640 9400860 9569700 9714222 9870903 10072350 10074008 10236492 10335276 10408095 10445400 10546200 10793580 10967670 11281032 11333259 11373880 11483640 11564550 11751075 12186300 12303900 12489714 12592510 12795615 12919095 12952296 13161204 13429800 13491975 13877460 14101290 14217350 14354550 14571333 14623560 14764680 15111012 15354738 15419400 15668100 16190370 16451505 16652952 16669800 17060820 17225460 17346825 17629514 17989300 18279450 18455850 18801720 18888765 19139400 19428444 19741806 20144700 20472984 20670552 20816190 21326025 21531825 21587160 21935340 22666518 23032107 23129100 23502150 24285555 24372600 24607800 24979428 25185020 25591230 25838190 26322408 26444271 26983950 27419175 27754920 28202580 28434700 28709100 29142666 30222024 30709476 31224285 31336200 31481275 32380740 32903010 33999777 34121640 34450920 34693650 35253225 35259028 35978600 36558900 36911700 37777530 38386845 38856888 39483612 40289400 40475925 41632380 42652050 43063650 43713999 43870680 44073785 45333036 46064214 46258200 47004300 48571110 49354515 49958856 50370040 51182460 51676380 52040475 52888542 53967900 54838350 56405160 56666295 56869400 57418200 58285332 61418952 62448570 62962550 63978075 64595475 64761480 65806020 67999554 69096321 69387300 70506450 70518056 72856665 73117800 73823400 75555060 76773690 78967224 79332813 80951850 82257525 83264760 85304100 86127300 87427998 88147570 90666072 92128428 94008600 94443825 97142220 98709030 101999331 102364920 103352760 104080950 105777084 107935800 109676700 113332590 115160535 116570664 121427775 124897140 125925100 127956150 129190950 131612040 132221355 135999108 138192642 138774600 141012900 145713330 151110120 153547380 156121425 158665626 161903700 164515050 169998885 170608200 172254600 174855996 176295140 184256856 188887650 191934225 194284440 197418060 203998662 208161900 211554168 218569995 219353400 220368925 226665180 230321070 237998439 242855550 246772575 249794280 251850200 255912300 258381900 264442710 271998216 276385284 282025800 283331475 291426660 305997993 307094760 312242850 317331252 323807400 329030100 339997770 345481605 349711992 352590280 364283325 377775300 383868450 394836120 396664065 407997324 416323800 437139990 440737850 453330360 460642140 475996878 485711100 493545150 509996655 511824600 516763800 528885420 552770568 566662950 575802675 582853320 611995986 624485700 634662504 658060200 661106775 679995540 690963210 713995317 728566650 755550600 767736900 793328130 815994648 849994425 874279980 881475700 921284280 951993756 971422200 987090300 1019993310 1057770840 1092849975 1133325900 1151605350 1189992195 1223991972 1248971400 1322213550 1359991080 1381926420 1427990634 1457133300 1529989965 1535473800 1586656260 1699988850 1727408025 1748559960 1762951400 1903987512 1974180600 1983320325 2039986620 2141985951 2185699950 2266651800 2303210700 2379984390 2447983944 2549983275 2644427100 2763852840 2855981268 2914266600 3059979930 3173312520 3399977700 3454816050 3569976585 3966640650 4079973240 4283971902 4371399900 4606421400 4759968780 5099966550 5288854200 5711962536 5949960975 6119959860 6799955400 6909632100 7139953170 7649949825 7933281300 8567943804 8742799800 9519937560 10199933100 10709929755 11899921950 12239919720 13819264200 14279906340 15299899650 15866562600 17135887608 17849882925 20399866200 21419859510 23799843900 28559812680 30599799300 35699765850 42839719020 47599687800 53549648775 61199598600 71399531700 85679438040 107099297550 142799063400 214198595100 428397190200
- Sum of all divisors σ(n): 1798218240000
- Sum of proper divisors (its aliquot sum) s(n): 1369821049800
- 428397190200 is an abundant number, because the sum of its proper divisors (1369821049800) is greater than itself. Its abundance is 941423859600
Bases of 428397190200
- Binary: 1100011101111100111011001011100001110002
- Hexadecimal: 0x63BE765C38
- Base-36: 5GSWMJI0
Squares and roots of 428397190200
- 428397190200 squared (4283971902002) is 183524152571254976040000
- 428397190200 cubed (4283971902003) is 78621231295361737023304322808000000
-
The
square root of 428397190200 is 654520.5804250925 -
The
cube root of 428397190200 is 7538.4525327731
Scales and comparisons
How big is 428397190200?- 428,397,190,200 seconds is equal to 13,621 years, 36 weeks, 4 days, 19 hours, 30 minutes.
-
To count from 1 to 428,397,190,200 would take you about twenty-seven thousand, two hundred forty-three 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 428397190200 cubic inches would be around 628.2 feet tall.
Recreational maths with 428397190200
- 428397190200 backwards is 002091793824
- 428397190200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 428397190200's digits is 45
- More coming soon!
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The information we have on file for 428397190200 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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