428112675020800
428,112,675,020,800 is an even composite number composed of seven prime numbers multiplied together.
428112675020800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 428112675020800:
213 × 52 × 7 × 11 × 29 × 37 × 25301
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 29 × 37 × 25301)See below for interesting mathematical facts about the number 428112675020800 from the Numbermatics database.
Names of 428112675020800
- Cardinal: 428112675020800 can be written as Four hundred twenty-eight trillion, one hundred twelve billion, six hundred seventy-five million, twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 4.281126750208 × 1014
Factors of 428112675020800
Divisors of 428112675020800
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 29 32 35 37 40 44 50 55 56 58 64 70 74 77 80 88 100 110 112 116 128 140 145 148 154 160 175 176 185 200 203 220 224 232 256 259 275 280 290 296 308 319 320 350 352 370 385 400 406 407 440 448 464 512 518 550 560 580 592 616 638 640 700 704 725 740 770 800 812 814 880 896 925 928 1015 1024 1036 1073 1100 1120 1160 1184 1232 1276 1280 1295 1400 1408 1450 1480 1540 1595 1600 1624 1628 1760 1792 1850 1856 1925 2030 2035 2048 2072 2146 2200 2233 2240 2320 2368 2464 2552 2560 2590 2800 2816 2849 2900 2960 3080 3190 3200 3248 3256 3520 3584 3700 3712 3850 4060 4070 4096 4144 4292 4400 4466 4480 4640 4736 4928 5075 5104 5120 5180 5365 5600 5632 5698 5800 5920 6160 6380 6400 6475 6496 6512 7040 7168 7400 7424 7511 7700 7975 8120 8140 8192 8288 8584 8800 8932 8960 9280 9472 9856 10150 10175 10208 10240 10360 10730 11165 11200 11264 11396 11600 11803 11840 12320 12760 12800 12950 12992 13024 14080 14245 14336 14800 14848 15022 15400 15950 16240 16280 16576 17168 17600 17864 17920 18560 18944 19712 20300 20350 20416 20480 20720 21460 22330 22400 22528 22792 23200 23606 23680 24640 25301 25520 25600 25900 25984 26048 26825 28160 28490 28672 29600 29696 30044 30800 31900 32480 32560 33152 34336 35200 35728 35840 37120 37555 37888 39424 40600 40700 40832 40960 41440 42920 44660 44800 45056 45584 46400 47212 47360 49280 50602 51040 51200 51800 51968 52096 53650 55825 56320 56980 57344 59015 59200 59392 60088 61600 63800 64960 65120 66304 68672 70400 71225 71456 71680 74240 75110 75776 78848 81200 81400 81664 82621 82880 85840 89320 89600 90112 91168 92800 94424 94720 98560 101204 102080 102400 103600 103936 104192 107300 111650 112640 113960 118030 118400 118784 120176 123200 126505 127600 129920 130240 132608 137344 140800 142450 142912 143360 148480 150220 151552 157696 162400 162800 163328 165242 165760 171680 177107 178640 179200 182336 185600 187775 188848 189440 197120 202408 204160 204800 207200 207872 208384 214600 223300 225280 227920 236060 236800 237568 240352 246400 253010 255200 259840 260480 265216 274688 278311 281600 284900 285824 286720 295075 296960 300440 303104 315392 324800 325600 326656 330484 331520 343360 354214 357280 358400 364672 371200 375550 377696 378880 394240 404816 408320 413105 414400 415744 416768 429200 446600 450560 455840 472120 473600 480704 492800 506020 510400 519680 520960 530432 549376 556622 563200 569800 571648 590150 593920 600880 630784 632525 649600 651200 653312 660968 663040 686720 708428 714560 716800 729344 733729 742400 751100 755392 757760 788480 809632 816640 826210 828800 831488 833536 858400 885535 893200 911680 936137 944240 947200 961408 985600 1012040 1020800 1039360 1041920 1060864 1098752 1113244 1126400 1139600 1143296 1180300 1187840 1201760 1265050 1299200 1302400 1306624 1321936 1326080 1373440 1391555 1416856 1429120 1433600 1458688 1467458 1484800 1502200 1510784 1515520 1576960 1619264 1633280 1652420 1657600 1662976 1667072 1716800 1771070 1786400 1823360 1872274 1888480 1894400 1922816 1948177 1971200 2024080 2041600 2065525 2078720 2083840 2121728 2197504 2226488 2252800 2279200 2286592 2360600 2403520 2530100 2598400 2604800 2613248 2643872 2652160 2746880 2783110 2833712 2858240 2917376 2934916 2969600 3004400 3021568 3153920 3238528 3266560 3304840 3315200 3334144 3433600 3542140 3572800 3646720 3668645 3744548 3776960 3788800 3845632 3896354 3942400 4048160 4083200 4131050 4157440 4167680 4395008 4427675 4452976 4558400 4573184 4680685 4721200 4807040 5060200 5136103 5196800 5209600 5287744 5304320 5493760 5566220 5667424 5716480 5834752 5869832 5939200 6008800 6043136 6477056 6533120 6552959 6609680 6630400 6867200 6957775 7084280 7145600 7293440 7337290 7489096 7553920 7577600 7691264 7792708 7884800 8071019 8096320 8166400 8262100 8314880 8335360 8790016 8855350 8905952 9116800 9146368 9361370 9442400 9614080 9740885 10120400 10272206 10297507 10393600 10419200 10575488 10608640 10987520 11132440 11334848 11432960 11669504 11739664 12017600 12086272 12954112 13066240 13105918 13219360 13260800 13734400 13915550 14168560 14291200 14586880 14674580 14978192 15107840 15382528 15585416 15769600 16142038 16192640 16332800 16524200 16670720 17710700 17811904 18233600 18292736 18343225 18722740 18884800 19228160 19481770 20240800 20544412 20595014 20787200 20838400 21150976 21975040 22264880 22669696 22865920 23339008 23403425 23479328 24035200 24172544 25680515 25908224 26211836 26438720 26521600 27147973 27468800 27831100 28337120 28582400 29173760 29349160 29956384 30215680 30765056 31170832 32284076 32385280 32665600 32764795 33048400 35421400 35623808 36467200 36686450 37445480 37769600 38456320 38963540 40355095 40481600 41088824 41190028 41574400 41676800 42301952 43950080 44529760 45339392 45731840 46806850 46958656 48070400 48345088 48704425 51361030 51487535 51816448 52423672 52877440 53043200 54295946 54937600 55662200 56497133 56674240 57164800 58347520 58698320 59912768 60431360 61530112 62341664 64568152 64770560 65331200 65529590 66096800 70842800 71247616 72082549 72934400 73372900 74890960 75539200 76912640 77927080 80710190 80963200 82177648 82380056 83353600 84603904 89059520 90678784 91463680 93613700 93917312 96140800 96690176 97408850 102722060 102975070 103632896 104847344 105754880 108591892 109875200 111324400 112994266 113348480 114329600 116695040 117396640 119825536 120862720 124683328 128402575 129136304 129541120 131059180 132193600 135739865 141685600 142495232 144165098 145868800 146745800 149781920 151078400 153825280 155854160 161420380 161926400 163823975 164355296 164760112 169207808 178119040 181357568 187227400 187834624 190035811 192281600 194817700 201775475 205444120 205950140 207265792 209694688 211509760 217183784 219750400 222648800 225988532 226696960 228659200 234793280 239651072 241725440 249366656 256805150 257437675 258272608 259082240 262118360 264387200 271479730 282485665 283371200 284990464 288330196 291737600 293491600 298627703 299563840 302156800 307650560 311708320 322840760 323852800 327647950 328710592 329520224 338415616 356238080 360412745 362715136 374454800 375669248 380071622 384563200 389635400 403550950 410888240 411900280 419389376 423019520 434367568 445297600 451977064 453393920 457318400 469586560 479302144 483450880 498733312 513610300 514875350 516545216 518164480 524236720 528774400 542959460 564971330 566742400 569980928 576660392 583475200 586983200 597255406 599127680 604313600 623416640 645681520 647705600 655295900 657421184 659040448 676831232 678699325 712476160 720825490 725430272 748909600 751338496 760143244 769126400 779270800 807101900 821776480 823800560 838778752 846039040 868735136 890595200 903954128 906787840 939173120 950179055 958604288 997466624 1027220600 1029750700 1033090432 1036328960 1048473440 1057548800 1085918920 1129942660 1133484800 1139961856 1153320784 1173966400 1194510812 1198255360 1208627200 1246833280 1291363040 1295411200 1310591800 1314842368 1318080896 1357398650 1412428325 1424952320 1441650980 1450860544 1493138515 1497819200 1502676992 1520286488 1538252800 1558541600 1614203800 1643552960 1647601120 1677557504 1692078080 1737470272 1781190400 1802063725 1807908256 1813575680 1878346240 1900358110 1917208576 1994933248 2054441200 2059501400 2066180864 2090393921 2096946880 2115097600 2171837840 2259885320 2266969600 2279923712 2306641568 2347932800 2389021624 2396510720 2417254400 2493666560 2582726080 2590822400 2621183600 2629684736 2636161792 2714797300 2824856650 2849904640 2883301960 2986277030 2995638400 3005353984 3040572976 3117083200 3228407600 3287105920 3295202240 3355115008 3384156160 3474940544 3562380800 3604127450 3615816512 3627151360 3756692480 3800716220 3834417152 3989866496 4108882400 4119002800 4132361728 4180787842 4193893760 4230195200 4343675680 4519770640 4533939200 4613283136 4695865600 4750895275 4778043248 4793021440 4987333120 5165452160 5181644800 5242367200 5259369472 5272323584 5429594600 5649713300 5699809280 5766603920 5972554060 5991276800 6010707968 6081145952 6234166400 6456815200 6574211840 6590404480 6710230016 6949881088 7124761600 7208254900 7231633024 7254302720 7465692575 7513384960 7601432440 7668834304 7979732992 8217764800 8238005600 8264723456 8361575684 8387787520 8460390400 8687351360 9039541280 9067878400 9226566272 9391731200 9501790550 9556086496 9586042880 9974666240 10330904320 10451969605 10484734400 10518738944 10544647168 10859189200 11299426600 11399618560 11533207840 11945108120 11982553600 12162291904 12468332800 12913630400 13148423680 13180808960 13420460032 13899762176 14249523200 14416509800 14463266048 14931385150 15026769920 15202864880 15959465984 16435529600 16476011200 16529446912 16723151368 16775575040 16920780800 17374702720 18079082560 18135756800 18453132544 18783462400 19003581100 19112172992 19172085760 19949332480 20661808640 20903939210 20969468800 21037477888 21089294336 21718378400 22598853200 23066415680 23890216240 23965107200 24324583808 24936665600 25827260800 26296847360 26361617920 26840920064 27799524352 28499046400 28833019600 28926532096 29862770300 30053539840 30405729760 32871059200 32952022400 33058893824 33446302736 33551150080 34749405440 36158165120 36271513600 36906265088 37566924800 38007162200 38224345984 38344171520 39898664960 41323617280 41807878420 41938937600 42074955776 42178588672 43436756800 45197706400 46132831360 47780432480 47930214400 48649167616 49873331200 51654521600 52259848025 52593694720 52723235840 53681840128 55599048704 56998092800 57666039200 57853064192 59725540600 60811459520 65742118400 65904044800 66117787648 66892605472 67102300160 69498810880 72316330240 73812530176 75133849600 76014324400 76448691968 79797329920 82647234560 83615756840 83877875200 84357177344 86873513600 90395412800 92265662720 95560864960 95860428800 97298335232 99746662400 103309043200 104519696050 105187389440 105446471680 111198097408 115332078400 115706128384 119451081200 121622919040 131484236800 131808089600 133785210944 134204600320 138997621760 144632660480 147625060352 150267699200 152028648800 152897383936 165294469120 167231513680 167755750400 173747027200 180790825600 184531325440 191121729920 191720857600 194596670464 199493324800 206618086400 209039392100 210374778880 210892943360 222396194816 230664156800 231412256768 238902162400 243245838080 262968473600 263616179200 267570421888 268409200640 277995243520 289265320960 295250120704 304057297600 305794767872 330588938240 334463027360 335511500800 347494054400 361581651200 369062650880 382243459840 389193340928 398986649600 413236172800 418078784200 421785886720 461328313600 462824513536 477804324800 486491676160 525936947200 527232358400 535140843776 555990487040 578530641920 590500241408 608114595200 611589535744 668926054720 671023001600 694988108800 723163302400 738125301760 764486919680 778386681856 826472345600 836157568400 922656627200 955608649600 972983352320 1051873894400 1054464716800 1070281687552 1111980974080 1157061283840 1216229190400 1223179071488 1337852109440 1342046003200 1389976217600 1446326604800 1476250603520 1528973839360 1556773363712 1652944691200 1672315136800 1845313254400 1911217299200 1945966704640 2108929433600 2140563375104 2314122567680 2432458380800 2446358142976 2675704218880 2779952435200 2892653209600 2952501207040 3057947678720 3344630273600 3690626508800 3822434598400 3891933409280 4281126750208 4864916761600 5351408437760 5559904870400 5785306419200 6115895357440 6689260547200 7381253017600 7644869196800 7783866818560 8562253500416 9729833523200 10702816875520 11570612838400 12231790714880 13378521094400 14762506035200 15289738393600 17124507000832 19459667046400 21405633751040 26757042188800 30579476787200 38919334092800 42811267502080 53514084377600 61158953574400 85622535004160 107028168755200 214056337510400 428112675020800
- Sum of all divisors σ(n): 1406326177578240
- Sum of proper divisors (its aliquot sum) s(n): 978213502557440
- 428112675020800 is an abundant number, because the sum of its proper divisors (978213502557440) is greater than itself. Its abundance is 550100827536640
Bases of 428112675020800
- Binary: 11000010101011101101111111110101100100000000000002
- Hexadecimal: 0x1855DBFEB2000
- Base-36: 47R48X5YPS
Squares and roots of 428112675020800
- 428112675020800 squared (4281126750208002) is 183280462513465112280432640000
- 428112675020800 cubed (4281126750208003) is 78464689085689006357831442003144998912000000
-
The
square root of 428112675020800 is 20690883.8627256327 -
The
cube root of 428112675020800 is 75367.8330367649
Scales and comparisons
How big is 428112675020800?- 428,112,675,020,800 seconds is equal to 13,612,658 years, 42 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 428,112,675,020,800 would take you about thirty-four million, thirty-one thousand, six hundred forty-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 428112675020800 cubic inches would be around 6280.7 feet tall.
Recreational maths with 428112675020800
- 428112675020800 backwards is 008020576211824
- The number of decimal digits it has is: 15
- The sum of 428112675020800's digits is 46
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 428112675020800 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 428112675020800 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/428112675020800/
Chicago style:
Numbermatics. 2024. "Number 428112675020800 - Facts about the integer". https://numbermatics.com/n/428112675020800/
The information we have on file for 428112675020800 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!
Keywords: Divisors of 428112675020800, math, Factors of 428112675020800, curriculum, school, college, exams, university, Prime factorization of 428112675020800, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, one hundred twelve billion, six hundred seventy-five million, twenty thousand, eight hundred.