428346429056000
428,346,429,056,000 is an even composite number composed of seven prime numbers multiplied together.
428346429056000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 428346429056000:
210 × 53 × 7 × 13 × 17 × 127 × 17033
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 17 × 127 × 17033)See below for interesting mathematical facts about the number 428346429056000 from the Numbermatics database.
Names of 428346429056000
- Cardinal: 428346429056000 can be written as Four hundred twenty-eight trillion, three hundred forty-six billion, four hundred twenty-nine million, fifty-six thousand.
Scientific notation
- Scientific notation: 4.28346429056 × 1014
Factors of 428346429056000
Divisors of 428346429056000
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 32 34 35 40 50 52 56 64 65 68 70 80 85 91 100 104 112 119 125 127 128 130 136 140 160 170 175 182 200 208 221 224 238 250 254 256 260 272 280 320 325 340 350 364 400 416 425 442 448 455 476 500 508 512 520 544 560 595 635 640 650 680 700 728 800 832 850 875 884 889 896 910 952 1000 1016 1024 1040 1088 1105 1120 1190 1270 1280 1300 1360 1400 1456 1547 1600 1625 1651 1664 1700 1750 1768 1778 1792 1820 1904 2000 2032 2080 2125 2159 2176 2210 2240 2275 2380 2540 2560 2600 2720 2800 2912 2975 3094 3175 3200 3250 3302 3328 3400 3500 3536 3556 3584 3640 3808 4000 4064 4160 4250 4318 4352 4420 4445 4480 4550 4760 5080 5120 5200 5440 5525 5600 5824 5950 6188 6350 6400 6500 6604 6656 6800 7000 7072 7112 7168 7280 7616 7735 8000 8128 8255 8320 8500 8636 8704 8840 8890 8960 9100 9520 10160 10400 10795 10880 11050 11200 11375 11557 11648 11900 12376 12700 12800 13000 13208 13312 13600 14000 14144 14224 14560 14875 15113 15232 15470 15875 16000 16256 16510 16640 17000 17033 17272 17408 17680 17780 17920 18200 19040 20320 20800 21590 21760 22100 22225 22400 22750 23114 23296 23800 24752 25400 25600 26000 26416 27200 27625 28000 28067 28288 28448 29120 29750 30226 30464 30940 31750 32000 32512 33020 33280 34000 34066 34544 35360 35560 35840 36400 38080 38675 40640 41275 41600 43180 43520 44200 44450 44800 45500 46228 46592 47600 49504 50800 52000 52832 53975 54400 55250 56000 56134 56576 56896 57785 58240 59500 60452 60928 61880 63500 64000 65024 66040 66560 68000 68132 69088 70720 71120 72800 75565 76160 77350 81280 82550 83200 85165 86360 87040 88400 88900 89600 91000 92456 93184 95200 99008 101600 104000 105664 107950 108800 110500 111125 112000 112268 113152 113792 115570 116480 119000 119231 120904 121856 123760 127000 128000 130048 132080 136000 136264 138176 140335 141440 142240 145600 151130 152320 154700 162560 165100 166400 170330 172720 176800 177800 179200 182000 184912 190400 193375 196469 198016 203200 206375 208000 211328 215900 217600 221000 221429 222250 224000 224536 226304 227584 231140 232960 238000 238462 241808 247520 254000 264160 269875 272000 272528 276352 280670 282880 284480 288925 289561 291200 302260 304640 309400 325120 330200 332800 340660 345440 353600 355600 364000 369824 377825 380800 386750 392938 396032 406400 412750 416000 422656 425825 431800 435200 442000 442858 444500 448000 449072 455168 462280 465920 476000 476924 483616 495040 508000 528320 539750 544000 545056 552704 561340 565760 568960 577850 579122 582400 596155 604520 609280 618800 650240 660400 681320 690880 701675 707200 711200 728000 739648 755650 761600 773500 785876 792064 812800 825500 832000 845312 851650 863600 884000 885716 889000 896000 898144 910336 924560 952000 953848 967232 982345 990080 1016000 1056640 1079500 1088000 1090112 1105408 1107145 1122680 1131520 1137920 1155700 1158244 1164800 1192310 1209040 1237600 1320800 1362640 1381760 1403350 1414400 1422400 1444625 1447805 1456000 1479296 1511300 1523200 1547000 1550003 1571752 1584128 1625600 1651000 1664000 1690624 1703300 1727200 1768000 1771432 1778000 1796288 1849120 1889125 1904000 1907696 1934464 1964690 1980160 2026927 2032000 2113280 2129125 2159000 2163191 2176000 2180224 2210816 2214290 2245360 2275840 2311400 2316488 2329600 2384620 2418080 2475200 2641600 2725280 2763520 2806700 2828800 2844800 2889250 2895610 2912000 2958592 2980775 3022600 3046400 3094000 3100006 3143504 3251200 3302000 3406600 3454400 3508375 3536000 3542864 3556000 3592576 3698240 3764293 3778250 3808000 3815392 3868928 3929380 3960320 4053854 4064000 4226560 4258250 4318000 4326382 4360448 4428580 4490720 4551680 4622800 4632976 4769240 4836160 4911725 4950400 5283200 5450560 5527040 5535725 5613400 5657600 5689600 5778500 5791220 5824000 5917184 5961550 6045200 6188000 6200012 6287008 6604000 6813200 6908800 7016750 7072000 7085728 7112000 7185152 7239025 7396480 7528586 7556500 7616000 7630784 7737856 7750015 7858760 7920640 8107708 8128000 8453120 8516500 8636000 8652764 8720896 8857160 8981440 9245600 9265952 9538480 9672320 9823450 9900800 10134635 10566400 10815955 10901120 11054080 11071450 11226800 11379200 11557000 11582440 11648000 11834368 11923100 12090400 12376000 12400024 12574016 13208000 13626400 13817600 14033500 14144000 14171456 14224000 14370304 14478050 14792960 14903875 15057172 15113000 15142337 15232000 15261568 15475712 15500030 15717520 16215416 16256000 17033000 17272000 17305528 17441792 17714320 17962880 18491200 18531904 18821465 19076960 19344640 19646900 19801600 20269270 21132800 21631910 21802240 22142900 22453600 22758400 23114000 23164880 23846200 24180800 24558625 24752000 24800048 25148032 26350051 26416000 27252800 27635200 27678625 28067000 28121483 28288000 28342912 28448000 28740608 28956100 29585920 29807750 30114344 30226000 30284674 30523136 31000060 31435040 32430832 34066000 34544000 34611056 35428640 35925760 36195125 36774247 36982400 37063808 37642930 38153920 38689280 38750075 39293800 39603200 40538540 42265600 43263820 43604480 44285800 44907200 46228000 46329760 47692400 48361600 49117250 49504000 49600096 50296064 50673175 52700102 52832000 54079775 54505600 55270400 55357250 56134000 56242966 56685824 56896000 57912200 59171840 59615500 60228688 60452000 60569348 61046272 62000120 62870080 64861664 68132000 69088000 69222112 70857280 71851520 72390250 73548494 73964800 74127616 75285860 75711685 76307840 77378560 77500150 78587600 81077080 86527640 87208960 88571600 89814400 92456000 92659520 94107325 95384800 96723200 98234500 99008000 99200192 100592128 101346350 105400204 105664000 108159550 109011200 110714500 112268000 112485932 113371648 113792000 115824400 119231000 120457376 120904000 121138696 122092544 124000240 125740160 129723328 131750255 136264000 138176000 138444224 140607415 141714560 143703040 144780500 147096988 147929600 148255232 150571720 151423370 152615680 155000300 157175200 162154160 173055280 177143200 179628800 183871235 184912000 185319040 188214650 190769600 193446400 193750375 196469000 196850381 198016000 198400384 201184256 202692700 210800408 211328000 216319100 218022400 221429000 224536000 224971864 226743296 231648800 238462000 240914752 241808000 242277392 248000480 251480320 253365875 257419729 259446656 263500510 270398875 272528000 276352000 276888448 281214830 283429120 289561000 294193976 295859200 296510464 301143440 302846740 305231360 310000600 314350400 324308320 346110560 354286400 359257600 367742470 369824000 370638080 376429300 378558425 381539200 386892800 387500750 392938000 393700762 396800768 405385400 421600816 432638200 436044800 442858000 449072000 449943728 463297600 470536625 476924000 478065211 481829504 483616000 484554784 496000960 502960640 506731750 514839458 518893312 527001020 540797750 545056000 553776896 562429660 566858240 579122000 588387952 602286880 605693480 610462720 620001200 628700800 648616640 658751275 692221120 703037075 708572800 718515200 735484940 739648000 741276160 752858600 757116850 763078400 775001500 785876000 787401524 793601536 810770800 843201632 865276400 885716000 898144000 899887456 919356175 926595200 941073250 953848000 956130422 963659008 967232000 969109568 984251905 992001920 1005921280 1013463500 1029678916 1037786624 1054002040 1081595500 1090112000 1107553792 1124859320 1133716480 1158244000 1176775904 1204573760 1211386960 1240002400 1257401600 1287098645 1297233280 1317502550 1384442240 1406074150 1417145600 1470969880 1479296000 1482552320 1505717200 1514233700 1526156800 1550003000 1571752000 1574803048 1587203072 1621541600 1686403264 1730552800 1771432000 1796288000 1799774912 1838712350 1853190400 1882146500 1892792125 1907696000 1912260844 1927318016 1934464000 1938219136 1968503810 1984003840 2026927000 2059357832 2075573248 2108004080 2163191000 2180224000 2215107584 2249718640 2316488000 2353551808 2390326055 2409147520 2422773920 2480004800 2514803200 2574197290 2594466560 2635005100 2768884480 2812148300 2834291200 2941939760 3011434400 3028467400 3052313600 3100006000 3143504000 3149606096 3243083200 3293756375 3346456477 3372806528 3461105600 3515185375 3542864000 3592576000 3599549824 3677424700 3706380800 3764293000 3785584250 3815392000 3824521688 3854636032 3876438272 3937007620 3968007680 4053854000 4118715664 4216008160 4326382000 4499437280 4596780875 4632976000 4707103616 4780652110 4818295040 4845547840 4921259525 4960009600 5029606400 5148394580 5188933120 5270010200 5537768960 5624296600 5668582400 5883879520 6022868800 6056934800 6200012000 6287008000 6299212192 6435493225 6486166400 6587512750 6692912954 6745613056 6922211200 7030370750 7085728000 7199099648 7354849400 7412761600 7528586000 7571168500 7630784000 7649043376 7752876544 7874015240 7936015360 8107708000 8237431328 8432016320 8652764000 8998874560 9193561750 9265952000 9414207232 9561304220 9636590080 9691095680 9842519050 9920019200 10296789160 10377866240 10540020400 11075537920 11248593200 11767759040 11951630275 12045737600 12113869600 12400024000 12574016000 12598424384 12870986450 12972332800 13175025500 13385825908 13491226112 13844422400 14060741500 14171456000 14398199296 14709698800 15057172000 15142337000 15261568000 15298086752 15505753088 15748030480 16215416000 16474862656 16732282385 16864032640 17305528000 17997749120 18387123500 18531904000 18828414464 19122608440 19273180160 19382191360 19685038100 19840038400 20593578320 21080040800 22497186400 23535518080 23903260550 24091475200 24227739200 24606297625 24800048000 25148032000 25196848768 25741972900 25944665600 26350051000 26771651816 26982452224 27688844800 28121483000 28342912000 28796398592 29419397600 30114344000 30284674000 30596173504 31496060960 32177466125 32430832000 32949725312 33464564770 33728065280 34611056000 35995498240 36774247000 37063808000 37656828928 38245216880 38764382720 39370076200 39680076800 41187156640 42160081600 44994372800 47071036160 47806521100 48182950400 48455478400 49212595250 49600096000 50393697536 51483945800 51889331200 52700102000 53543303632 55377689600 56242966000 58838795200 59758151375 60228688000 60569348000 61192347008 62992121920 64354932250 64861664000 65899450624 66929129540 67456130560 69222112000 71990996480 73548494000 76490433760 77528765440 78740152400 82374313280 83661411925 84320163200 89988745600 94142072320 95613042200 96365900800 96910956800 98425190500 99200192000 100787395072 102967891600 105400204000 107086607264 112485932000 117677590400 119516302750 120457376000 121138696000 122384694016 125984243840 128709864500 129723328000 131798901248 133858259080 134912261120 138444224000 143981992960 147096988000 152980867520 157480304800 164748626560 167322823850 168640326400 179977491200 188284144640 191226084400 193821913600 196850381000 198400384000 201574790144 205935783200 210800408000 214173214528 224971864000 235355180800 239032605500 240914752000 242277392000 244769388032 251968487680 257419729000 259446656000 263597802496 267716518160 276888448000 294193976000 305961735040 314960609600 329497253120 334645647700 337280652800 359954982400 382452168800 387643827200 393700762000 411871566400 418307059625 421600816000 428346429056 449943728000 470710361600 478065211000 481829504000 484554784000 489538776064 503936975360 514839458000 535433036320 588387952000 611923470080 629921219200 658994506240 669291295400 674561305600 719909964800 764904337600 787401524000 823743132800 836614119250 843201632000 856692858112 899887456000 941420723200 956130422000 969109568000 1007873950720 1029678916000 1070866072640 1176775904000 1223846940160 1259842438400 1317989012480 1338582590800 1529808675200 1574803048000 1647486265600 1673228238500 1686403264000 1713385716224 1799774912000 1912260844000 1938219136000 2059357832000 2141732145280 2353551808000 2447693880320 2519684876800 2677165181600 3059617350400 3149606096000 3294972531200 3346456477000 3372806528000 3426771432448 3599549824000 3824521688000 4118715664000 4283464290560 4707103616000 5039369753600 5354330363200 6119234700800 6299212192000 6589945062400 6692912954000 7649043376000 8237431328000 8566928581120 10708660726400 12238469401600 12598424384000 13385825908000 15298086752000 16474862656000 17133857162240 21417321452800 25196848768000 26771651816000 30596173504000 32949725312000 42834642905600 53543303632000 61192347008000 85669285811200 107086607264000 214173214528000 428346429056000
- Sum of all divisors σ(n): 1403652428365824
- Sum of proper divisors (its aliquot sum) s(n): 975305999309824
- 428346429056000 is an abundant number, because the sum of its proper divisors (975305999309824) is greater than itself. Its abundance is 546959570253824
Bases of 428346429056000
- Binary: 11000010110010100001011001011111010100100000000002
- Hexadecimal: 0x185942CBEA400
- Base-36: 47U3MSA6M8
Squares and roots of 428346429056000
- 428346429056000 squared (4283464290560002) is 183480663285026841051136000000
- 428346429056000 cubed (4283464290560003) is 78593286918967573677366215092207616000000000
-
The
square root of 428346429056000 is 20696531.8122626527 -
The
cube root of 428346429056000 is 75381.5477514833
Scales and comparisons
How big is 428346429056000?- 428,346,429,056,000 seconds is equal to 13,620,091 years, 25 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 428,346,429,056,000 would take you about thirty-four million, fifty thousand, two hundred twenty-eight 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 428346429056000 cubic inches would be around 6281.8 feet tall.
Recreational maths with 428346429056000
- 428346429056000 backwards is 000650924643824
- The number of decimal digits it has is: 15
- The sum of 428346429056000's digits is 53
- 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 428346429056000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 428346429056000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/428346429056000/
Chicago style:
Numbermatics. 2024. "Number 428346429056000 - Facts about the integer". https://numbermatics.com/n/428346429056000/
The information we have on file for 428346429056000 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 428346429056000, math, Factors of 428346429056000, curriculum, school, college, exams, university, Prime factorization of 428346429056000, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, three hundred forty-six billion, four hundred twenty-nine million, fifty-six thousand.