428674425857892000
428,674,425,857,892,000 is an even composite number composed of six prime numbers multiplied together.
428674425857892000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 428674425857892000:
25 × 32 × 53 × 413 × 4492 × 857
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 41 × 41 × 41 × 449 × 449 × 857)See below for interesting mathematical facts about the number 428674425857892000 from the Numbermatics database.
Names of 428674425857892000
- Cardinal: 428674425857892000 can be written as Four hundred twenty-eight quadrillion, six hundred seventy-four trillion, four hundred twenty-five billion, eight hundred fifty-seven million, eight hundred ninety-two thousand.
Scientific notation
- Scientific notation: 4.28674425857892 × 1017
Factors of 428674425857892000
Divisors of 428674425857892000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 41 45 48 50 60 72 75 80 82 90 96 100 120 123 125 144 150 160 164 180 200 205 225 240 246 250 288 300 328 360 369 375 400 410 449 450 480 492 500 600 615 656 720 738 750 800 820 857 898 900 984 1000 1025 1125 1200 1230 1312 1347 1440 1476 1500 1640 1681 1714 1796 1800 1845 1968 2000 2050 2245 2250 2400 2460 2571 2694 2952 3000 3075 3280 3362 3428 3592 3600 3690 3936 4000 4041 4100 4285 4490 4500 4920 5043 5125 5142 5388 5904 6000 6150 6560 6724 6735 6856 7184 7200 7380 7713 8082 8200 8405 8570 8980 9000 9225 9840 10086 10250 10284 10776 11225 11808 12000 12300 12855 13448 13470 13712 14368 14760 15129 15375 15426 16164 16400 16810 17140 17960 18000 18409 18450 19680 20172 20205 20500 20568 21425 21552 22450 24600 25215 25710 26896 26940 27424 29520 30258 30750 30852 32328 32800 33620 33675 34280 35137 35920 36000 36818 36900 38565 40344 40410 41000 41136 42025 42850 43104 44900 46125 49200 50430 51420 53792 53880 55227 56125 59040 60516 61500 61704 64275 64656 67240 67350 68560 68921 70274 71840 73636 73800 75645 77130 80688 80820 82000 82272 84050 85700 89800 92045 92250 98400 100860 101025 102840 105411 107125 107760 110454 112250 121032 123000 123408 126075 128550 129312 134480 134700 137120 137842 140548 147272 147600 151290 154260 161376 161640 164000 165681 168100 168375 171400 175685 179600 184090 184500 192825 201601 201720 202050 205680 206763 210125 210822 214250 215520 220908 224500 242064 246000 246816 252150 257100 268960 269400 275684 276135 281096 294544 295200 302580 308520 316233 321375 323280 331362 336200 336750 342800 344605 351370 359200 368180 369000 378225 384793 385650 403202 403440 404100 411360 413526 420250 421644 428500 441816 449000 460225 484128 492000 504300 505125 514200 527055 538800 551368 552270 562192 589088 604803 605160 617040 620289 630375 632466 642750 646560 662724 672400 673500 685600 689210 702740 736360 738000 754769 756450 769586 771300 806404 806880 808200 827052 828405 840500 843288 857000 878425 883632 898000 920450 964125 1008005 1008600 1010250 1028400 1033815 1054110 1077600 1102736 1104540 1124384 1154379 1209606 1210320 1234080 1240578 1260750 1264932 1285500 1325448 1344800 1347000 1378420 1380675 1405480 1440617 1472720 1476000 1509538 1512900 1539172 1542600 1581165 1612808 1616400 1654104 1656810 1681000 1686576 1714000 1723025 1756850 1767264 1796000 1814409 1840900 1891125 1923965 1928250 2016010 2017200 2020500 2056800 2067630 2108220 2205472 2209080 2264307 2301125 2308758 2419212 2420640 2481156 2521500 2529864 2571000 2635275 2650896 2694000 2756840 2761350 2810960 2881234 2945440 3019076 3024015 3025800 3078344 3085200 3101445 3162330 3225616 3232800 3308208 3313620 3362000 3373152 3428000 3446050 3463137 3513700 3628818 3681800 3773845 3782250 3847930 3856500 4032020 4034400 4041000 4135260 4142025 4216440 4321851 4392125 4418160 4528614 4602250 4617516 4838424 4962312 5040025 5043000 5059728 5142000 5169075 5270550 5301792 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25298640 25845375 25931106 26352750 26508960 27171684 27568400 27613500 27705096 28109600 28812340 28859475 29030544 30190760 30240150 30258000 30783440 30852000 30945529 31014450 31553026 31623300 32256160 33062564 33082080 33136200 33964605 34460500 34574808 34631370 35137000 36015425 36228912 36288180 36818000 36940128 37738450 38479300 39529125 40320200 41328205 41352600 41420250 42164400 43218510 44181600 45286140 45360225 46099744 46175160 47329539 48099125 48384240 49593846 49623120 50400250 50597280 51690750 51862212 52705500 54343368 55136800 55227000 55410192 56607675 57624680 57718950 58061088 59065297 60381520 60480300 60516000 61566880 61891058 62028900 63106052 63246600 64827765 66125128 66272400 67929210 68921000 69149616 69262740 70274000 72030850 72457824 72576360 73636000 74390769 75476900 75600375 76958600 77536125 78882565 79058250 80640400 82656410 82705200 82840500 84328800 86437020 86578425 90572280 90720450 92350320 92836587 94346125 94659078 96198250 96768480 99187692 99246240 100800500 103381500 103724424 105411000 108046275 108686736 110454000 110820384 113215350 115249360 115437900 118130594 120763040 120960600 123782116 123984615 124057800 126212104 126493200 129655530 132250256 132544800 135858420 137842000 138299232 138525480 140548000 141988617 144061700 144297375 145152720 148781538 150953800 151200750 153917200 154727645 155072250 157765130 158116500 161280800 165312820 165410400 165681000 169823025 172772057 172874040 173156850 177195891 180077125 181144560 181440900 184700640 185673174 188692250 189318156 192396500 198375384 201601000 206641025 206763000 207448848 210822000 216092550 217373472 220908000 226430700 226801125 230498720 230875800 236261188 236647695 241921200 247564232 247969230 248115600 252424208 252986400 259311060 264500512 271716840 275684000 277050960 278509761 283038375 283977234 288123400 288594750 290305440 295326485 297563076 301907600 302401500 307834400 309455290 310144500 315530260 316233000 324138825 330625640 331362000 338891281 339646050 345544114 345748080 346313700 354391782 360154250 362289120 362881800 371346348 371953845 377384500 378636312 384793000 394412825 396750768 403202000 413282050 413526000 414897696 421644000 432185100 432892125 452861400 453602250 461751600 464182935 472522376 473295390 483842400 495128464 495938460 496231200 504848416 518316171 518622120 531587673 540231375 543433680 554101920 557019522 566076750 567954468 576246800 577189500 590652970 595126152 603815200 604803000 618910580 619923075 620289000 631060520 632466000 646837033 648277650 661251280 662724000 677782562 679292100 691088228 691496160 692627400 708783564 709943085 720308500 725763600 742692696 743907690 754769000 757272624 769586000 773638225 788825650 793501536 806404000 826564100 827052000 849115125 863860285 864370200 865784250 885979455 905722800 907204500 923503200 928365870 945044752 946590780 990256928 991876920 1016673843 1033205125 1036632342 1037244240 1063175346 1080462750 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850038520440 871289483451 885456792125 931445327520 954731460708 970255549500 1000407061512 1016673843000 1020046224528 1036632342000 1042090689075 1060812734120 1062548150550 1063175346000 1111563401680 1114039044000 1133384693920 1161719311268 1164306659400 1193414325885 1220008611600 1243958810400 1250508826890 1272975280944 1275057780660 1293674066000 1326015917650 1333876082016 1355565124000 1389454252100 1416730867400 1452149139085 1455383324250 1525010764500 1552408879200 1554948513000 1591219101180 1593822225825 1667345102520 1700077040880 1736817815125 1742578966902 1770913584250 1909462921416 1940511099000 1989023876475 2000814123024 2033347686000 2040092449056 2073264684000 2084181378150 2121625468240 2125096301100 2126350692000 2223126803360 2323438622536 2328613318800 2386828651770 2440017223200 2501017653780 2545950561888 2550115561320 2587348132000 2613868450353 2652031835300 2656370376375 2778908504200 2833461734800 2904298278170 2910766648500 3050021529000 3109897026000 3126272067225 3182438202360 3187644451650 3315039794125 3334690205040 3400154081760 3473635630250 3485157933804 3541827168500 3818925842832 3881022198000 3978047752950 4001628246048 4066695372000 4168362756300 4243250936480 4250192602200 4356447417255 4646877245072 4657226637600 4773657303540 5002035307560 5100231122640 5210453445375 5227736900706 5304063670600 5312740752750 5557817008400 5666923469600 5808596556340 5821533297000 5967071629425 6100043058000 6219794052000 6252544134450 6364876404720 6375288903300 6630079588250 6669380410080 6947271260500 6970315867608 7083654337000 7260745695425 7637851685664 7762044396000 7956095505900 7969111129125 8336725512600 8500385204400 8712894834510 9293754490144 9547314607080 9945119382375 10004070615120 10200462245280 10420906890750 10455473801412 10608127341200 10625481505500 11115634016800 11617193112680 11643066594000 11907622940497 11934143258850 12200086116000 12505088268900 12729752809440 12750577806600 13069342251765 13260159176500 13894542521000 13940631735216 14167308674000 14521491390850 15631360336125 15912191011800 15938222258250 16673451025200 17000770408800 17425789669020 19094629214160 19890238764750 20008141230240 20841813781500 20910947602824 21216254682400 21250963011000 21782237086275 23234386225360 23286133188000 23815245880994 23868286517700 25010176537800 25501155613200 26138684503530 26520318353000 27789085042000 27881263470432 28334617348000 29042982781700 29835358147125 31262720672250 31824382023600 31876444516500 33346902050400 34851579338040 35722868821491 36303728477125 38189258428320 39780477529500 41683627563000 41821895205648 42501926022000 43564474172550 46468772450720 47630491761988 47736573035400 50020353075600 51002311226400 52277369007060 53040636706000 55578170084000 58085965563400 59538114702485 59670716294250 62525441344500 63648764047200 63752889033000 65346711258825 69703158676080 71445737642982 72607456954250 79560955059000 83367255126000 83643790411296 85003852044000 87128948345100 95260983523976 95473146070800 100040706151200 104554738014120 106081273412000 107168606464473 108911185431375 116171931126800 119076229404970 119341432588500 125050882689000 127505778066000 130693422517650 139406317352160 142891475285964 145214913908500 159121910118000 166734510252000 174257896690200 178614344107455 190521967047952 190946292141600 209109476028240 214337212928946 217822370862750 232343862253600 238152458809940 238682865177000 250101765378000 255011556132000 261386845035300 285782950571928 290429827817000 297690573512425 318243820236000 326733556294125 348515793380400 357228688214910 381043934095904 418218952056480 428674425857892 435644741725500 476304917619880 477365730354000 500203530756000 522773690070600 535843032322365 571565901143856 580859655634000 595381147024850 653467112588250 697031586760800 714457376429820 857348851715784 871289483451000 893071720537275 952609835239760 954731460708000 1045547380141200 1071686064644730 1143131802287712 1161719311268000 1190762294049700 1306934225176500 1428914752859640 1488452867562125 1714697703431568 1742578966902000 1786143441074550 1905219670479520 2091094760282400 2143372129289460 2381524588099400 2613868450353000 2679215161611825 2857829505719280 2976905735124250 3429395406863136 3485157933804000 3572286882149100 4286744258578920 4465358602686375 4763049176198800 5227736900706000 5358430323223650 5715659011438560 5953811470248500 7144573764298200 8573488517157840 8930717205372750 9526098352397600 10455473801412000 10716860646447300 11907622940497000 13396075808059125 14289147528596400 17146977034315680 17861434410745500 21433721292894600 23815245880994000 26792151616118250 28578295057192800 35722868821491000 42867442585789200 47630491761988000 53584303232236500 71445737642982000 85734885171578400 107168606464473000 142891475285964000 214337212928946000 428674425857892000
- Sum of all divisors σ(n): 1564703572139836128
- Sum of proper divisors (its aliquot sum) s(n): 1136029146281944128
- 428674425857892000 is an abundant number, because the sum of its proper divisors (1136029146281944128) is greater than itself. Its abundance is 707354720424052128
Bases of 428674425857892000
- Binary: 101111100101111010100011110011111011000110111011110101000002
- Hexadecimal: 0x5F2F51E7D8DDEA0
- Base-36: 398WEGL23QG0
Squares and roots of 428674425857892000
- 428674425857892000 squared (4286744258578920002) is 183761763384593345360178683664000000
- 428674425857892000 cubed (4286744258578920003) is 78773968413524352894636569354656504485876288000000000
-
The
square root of 428674425857892000 is 654732331.4591177267 -
The
cube root of 428674425857892000 is 754007.8342673789
Scales and comparisons
How big is 428674425857892000?- 428,674,425,857,892,000 seconds is equal to 13,630,520,765 years, 11 weeks, 3 days, 10 hours.
-
To count from 1 to 428,674,425,857,892,000 would take you about forty billion, eight hundred ninety-one million, five hundred sixty-two thousand, two hundred ninety-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 428674425857892000 cubic inches would be around 62834 feet tall.
Recreational maths with 428674425857892000
- 428674425857892000 backwards is 000298758524476824
- The number of decimal digits it has is: 18
- The sum of 428674425857892000's digits is 81
- More coming soon!
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"Number 428674425857892000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 428674425857892000 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/428674425857892000/
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The information we have on file for 428674425857892000 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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