428083470942400
428,083,470,942,400 is an even composite number composed of six prime numbers multiplied together.
428083470942400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 428083470942400:
26 × 52 × 7 × 133 × 432 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 13 × 13 × 43 × 43 × 97 × 97)See below for interesting mathematical facts about the number 428083470942400 from the Numbermatics database.
Names of 428083470942400
- Cardinal: 428083470942400 can be written as Four hundred twenty-eight trillion, eighty-three billion, four hundred seventy million, nine hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 4.280834709424 × 1014
Factors of 428083470942400
Divisors of 428083470942400
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 43 50 52 56 64 65 70 80 86 91 97 100 104 112 130 140 160 169 172 175 182 194 200 208 215 224 260 280 301 320 325 338 344 350 364 388 400 416 430 448 455 485 520 559 560 602 650 676 679 688 700 728 776 800 832 845 860 910 970 1040 1075 1118 1120 1183 1204 1261 1300 1352 1358 1376 1400 1456 1505 1552 1600 1690 1720 1820 1849 1940 2080 2150 2197 2236 2240 2275 2366 2408 2425 2522 2600 2704 2716 2752 2795 2800 2912 3010 3104 3380 3395 3440 3640 3698 3880 3913 4160 4171 4225 4300 4394 4472 4550 4732 4816 4850 5044 5200 5408 5432 5590 5600 5824 5915 6020 6208 6305 6760 6790 6880 7267 7280 7396 7525 7760 7826 8342 8450 8600 8788 8827 8944 9100 9245 9409 9464 9632 9700 10088 10400 10816 10864 10985 11180 11200 11830 12040 12610 12943 13520 13580 13760 13975 14534 14560 14792 15050 15379 15520 15652 16393 16684 16900 16975 17200 17576 17654 17888 18200 18490 18818 18928 19264 19400 19565 20176 20800 20855 21728 21970 22360 23660 24037 24080 25220 25886 27040 27160 27950 29068 29120 29197 29575 29584 30100 30758 31040 31304 31525 32786 33368 33800 33950 34400 35152 35308 35776 36335 36400 36980 37636 37856 38800 39130 40352 41710 43456 43940 44135 44720 46225 47045 47320 48074 48160 50440 50869 51772 54080 54223 54320 54925 55900 58136 58394 59150 59168 60200 61516 62608 63050 64715 65572 65863 66736 67600 67900 68800 70304 70616 72670 72800 73960 75272 75712 76895 77600 78260 80704 81965 83420 87880 88270 89440 92450 94090 94471 94640 96148 96320 97825 100880 101738 103544 104275 108446 108640 109850 111800 114751 116272 116788 118300 118336 120185 120400 122317 123032 125216 126100 129430 131144 131726 133472 135200 135800 140608 141232 145340 145600 145985 147920 150544 153790 155200 156520 163930 166840 168259 175760 176540 178880 179353 181675 184900 188180 188942 189280 192296 195650 201760 203476 207088 208550 213109 216892 217280 219700 220675 223600 229502 232544 233576 235225 236600 240370 240800 244634 246064 250432 252200 254345 258860 262288 263452 266944 270400 271115 271600 282464 290680 291970 295840 301088 307580 312481 313040 323575 327860 329315 333680 336518 351520 353080 358706 363350 369800 376360 377884 378560 379561 384475 384592 391300 403520 404587 406952 409825 414176 417100 426218 433784 439400 441350 447200 459004 465088 467152 470450 472355 473200 480740 481600 489268 492128 504400 508690 517720 524576 526904 542230 543200 564928 573755 581360 583940 591680 600925 602176 611585 615160 624962 626080 647150 655720 658630 661297 667360 673036 703040 704899 706160 717412 726700 729925 739600 752720 755768 759122 768950 769184 782600 809174 813904 819650 828352 834200 841295 852436 856219 867568 878800 882700 894400 896765 918008 934304 940900 944710 946400 961480 978536 984256 1008800 1017380 1035440 1049152 1053808 1065545 1084460 1086400 1147510 1162720 1167880 1201850 1223170 1230320 1249924 1252160 1255471 1271725 1294300 1311440 1317260 1322594 1334720 1346072 1355575 1409798 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1948490992 1970192705 1973717200 2008753600 2052665888 2067157300 2103852400 2121745990 2188006496 2226169400 2261641330 2265687200 2274861680 2315216176 2356314688 2386820800 2393132105 2424852560 2435613740 2544193600 2565832360 2611379680 2735008120 2758269787 2783558560 2843577100 2894020220 2932379840 2940133729 2945393360 3031065700 3044517175 3152308328 3166297862 3207290450 3249802400 3264224600 3307451680 3394793584 3418760150 3479448200 3499787200 3555510556 3561871040 3617525275 3618626128 3665474800 3681741700 3730542400 3829011368 3896981984 3940385410 3947434400 4105331776 4134314600 4207704800 4243491980 4376012992 4444388195 4452338800 4523282660 4531374400 4549723360 4630432352 4786264210 4849705120 4871227480 5131664720 5222759360 5304364975 5470016240 5516539574 5567117120 5654103325 5687154200 5788040440 5880267458 5890786720 6062131400 6089034350 6222143473 6304616656 6332595724 6414580900 6499604800 6528449200 6614903360 6789587168 6837520300 6958896400 7111021112 7235050550 7237252256 7330949600 7363483400 7658022736 7793963968 7880770820 7894868800 7915744655 8268629200 8415409600 8486983960 8888776390 8904677600 9046565320 9099446720 9260864704 9572528420 9699410240 9742454960 9850963525 10263329440 10608729950 10940032480 11033079148 11308206650 11374308400 11576080880 11760534916 11781573440 11965660525 12124262800 12178068700 12444286946 12609233312 12665191448 12829161800 13056898400 13579174336 13675040600 13791348935 13917792800 14222042224 14470101100 14474504512 14661899200 14700668645 14726966800 15316045472 15761541640 15831489310 16537258400 16973967920 17777552780 17809355200 18093130640 19145056840 19484909920 19701927050 20526658880 20580936103 21217459900 21880064960 22066158296 22221940975 22616413300 22748616800 23152161760 23521069832 23931321050 24248525600 24356137400 24888573892 25218466624 25330382896 25658323600 26113796800 27350081200 27582697870 27835585600 28444084448 28940202200 29401337290 29453933600 30632090944 31110717365 31523083280 31662978620 33074516800 33947935840 35555105560 36186261280 38221738477 38290113680 38969819840 39403854100 39578723275 41161872206 42434919800 44132316592 44443881950 45232826600 45497233600 46304323520 47042139664 47862642100 48497051200 48712274800 49777147784 50660765792 51316647200 54700162400 55165395740 56888168896 57880404400 58802674580 58907867200 62221434730 63046166560 63325957240 67895871680 68956744675 71110211120 72372522560 73503343225 76443476954 76580227360 78807708200 79157446550 82323744412 84869839600 88264633184 88887763900 90465653200 94084279328 95725284200 97424549600 99554295568 101321531584 102633294400 102904680515 109400324800 110330791480 115760808800 117605349160 124442869460 126092333120 126651914480 137913489350 142220422240 147006686450 152886953908 153160454720 155553586825 157615416400 158314893100 164647488824 169739679200 176529266368 177775527800 180931306400 188168558656 191108692385 191450568400 194849099200 199108591136 205809361030 220661582960 231521617600 235210698320 248885738920 253303828960 267552169339 275826978700 284440844480 294013372900 305773907816 311107173650 315230832800 316629786200 329294977648 339479358400 355551055600 361862612800 382217384770 382901136800 398217182272 411618722060 441323165920 470421396640 497771477840 506607657920 514523402575 535104338678 551653957400 588026745800 611547815632 622214347300 630461665600 633259572400 658589955296 711102111200 764434769540 765802273600 823237444120 882646331840 940842793280 955543461925 995542955680 1029046805150 1070208677356 1103307914800 1176053491600 1223095631264 1244428694600 1266519144800 1317179910592 1337760846695 1422204222400 1528869539080 1646474888240 1911086923850 1991085911360 2058093610300 2140417354712 2206615829600 2352106983200 2446191262528 2488857389200 2533038289600 2675521693390 3057739078160 3292949776480 3822173847700 4116187220600 4280834709424 4413231659200 4704213966400 4977714778400 5351043386780 6115478156320 6585899552960 6688804233475 7644347695400 8232374441200 8561669418848 9955429556800 10702086773560 12230956312640 13377608466950 15288695390800 16464748882400 17123338837696 21404173547120 26755216933900 30577390781600 32929497764800 42808347094240 53510433867800 61154781563200 85616694188480 107020867735600 214041735471200 428083470942400
- Sum of all divisors σ(n): 1349045093400480
- Sum of proper divisors (its aliquot sum) s(n): 920961622458080
- 428083470942400 is an abundant number, because the sum of its proper divisors (920961622458080) is greater than itself. Its abundance is 492878151515680
Bases of 428083470942400
- Binary: 11000010101010110111100110011100001000000110000002
- Hexadecimal: 0x18556F33840C0
- Base-36: 47QQTXT7LS
Squares and roots of 428083470942400
- 428083470942400 squared (4280834709424002) is 183255458094092625144117760000
- 428083470942400 cubed (4280834709424003) is 78448632570058701180976070725243777024000000
-
The
square root of 428083470942400 is 20690178.1273724177 -
The
cube root of 428083470942400 is 75366.1192370389
Scales and comparisons
How big is 428083470942400?- 428,083,470,942,400 seconds is equal to 13,611,730 years, 11 weeks, 5 days, 13 hours, 46 minutes, 40 seconds.
-
To count from 1 to 428,083,470,942,400 would take you about thirty-four million, twenty-nine thousand, three hundred twenty-five 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 428083470942400 cubic inches would be around 6280.5 feet tall.
Recreational maths with 428083470942400
- 428083470942400 backwards is 004249074380824
- The number of decimal digits it has is: 15
- The sum of 428083470942400's digits is 55
- More coming soon!
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"Number 428083470942400 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 428083470942400 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/428083470942400/
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The information we have on file for 428083470942400 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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