428220820629000
428,220,820,629,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428220820629000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2880 divisors.
428220820629000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 428220820629000:
23 × 32 × 53 × 74 × 17 × 312 × 1213
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 17 × 31 × 31 × 1213)See below for interesting mathematical facts about the number 428220820629000 from the Numbermatics database.
Names of 428220820629000
- Cardinal: 428220820629000 can be written as Four hundred twenty-eight trillion, two hundred twenty billion, eight hundred twenty million, six hundred twenty-nine thousand.
Scientific notation
- Scientific notation: 4.28220820629 × 1014
Factors of 428220820629000
Divisors of 428220820629000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 17 18 20 21 24 25 28 30 31 34 35 36 40 42 45 49 50 51 56 60 62 63 68 70 72 75 84 85 90 93 98 100 102 105 119 120 124 125 126 136 140 147 150 153 155 168 170 175 180 186 196 200 204 210 217 225 238 245 248 250 252 255 279 280 294 300 306 310 315 340 343 350 357 360 372 375 392 408 420 425 434 441 450 465 476 490 500 504 510 525 527 558 588 595 600 612 620 630 651 680 686 700 714 735 744 750 765 775 833 840 850 868 875 882 900 930 952 961 980 1000 1020 1029 1050 1054 1071 1085 1116 1125 1176 1190 1213 1224 1225 1240 1260 1275 1302 1372 1395 1400 1428 1470 1500 1519 1530 1550 1575 1581 1666 1700 1715 1736 1750 1764 1785 1800 1860 1922 1953 1960 2040 2058 2100 2108 2125 2142 2170 2205 2232 2250 2325 2380 2401 2426 2450 2499 2520 2550 2604 2625 2635 2744 2790 2856 2883 2940 2975 3000 3038 3060 3087 3100 3150 3162 3255 3332 3400 3430 3500 3528 3570 3639 3675 3689 3720 3825 3844 3875 3906 4116 4165 4200 4216 4250 4284 4340 4410 4500 4557 4650 4743 4760 4802 4805 4852 4900 4998 5100 5145 5208 5250 5270 5355 5425 5580 5766 5831 5880 5950 6065 6076 6120 6125 6174 6200 6300 6324 6375 6510 6664 6727 6860 6975 7000 7140 7203 7278 7350 7378 7497 7595 7650 7688 7750 7812 7875 7905 8232 8330 8491 8500 8568 8575 8649 8680 8820 8925 9000 9114 9300 9486 9604 9610 9704 9765 9800 9996 10200 10290 10500 10540 10633 10710 10850 10917 11025 11067 11160 11532 11625 11662 11900 12005 12130 12152 12250 12348 12495 12600 12648 12750 13020 13175 13454 13671 13720 13950 14280 14406 14415 14556 14700 14756 14875 14994 15190 15300 15435 15500 15624 15750 15810 16275 16337 16660 16982 17000 17150 17298 17493 17640 17850 18195 18228 18375 18445 18600 18972 19125 19208 19220 19530 19992 20181 20580 20621 20825 21000 21080 21266 21420 21609 21700 21834 22050 22134 22785 23064 23250 23324 23715 23800 24010 24025 24260 24500 24696 24990 25473 25500 25725 25823 26040 26350 26775 26908 27125 27342 27900 28812 28830 29112 29155 29400 29512 29750 29988 30325 30380 30600 30870 31000 31500 31620 31899 32550 32674 33201 33320 33635 33964 34300 34596 34875 34986 35700 36015 36390 36456 36750 36890 37485 37603 37944 37975 38250 38440 39060 39525 40362 40817 41160 41242 41650 42455 42532 42840 42875 43218 43245 43400 43668 44100 44268 44625 45570 46500 46648 47089 47430 48020 48050 48520 48825 49000 49011 49980 50946 51000 51450 51646 52479 52700 53165 53550 53816 54250 54585 54684 55125 55335 55800 57624 57660 58310 59437 59500 59976 60025 60543 60650 60760 61740 61863 62475 63000 63240 63798 65100 65348 65875 66402 67270 67928 68355 68600 69192 69750 69972 71400 72030 72075 72780 73500 73780 74431 74970 75206 75950 76419 76500 77175 77469 78120 79050 80724 81375 81634 81685 82484 83300 84910 85064 85750 86436 86490 87336 87465 88200 88536 89250 90975 91140 92225 93000 94178 94860 95697 96040 96100 97650 98022 99960 100905 101892 102900 103105 103292 104125 104958 105400 106330 107100 108045 108500 109170 109368 110250 110670 112809 113925 114359 115320 116620 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12897829000 13105858500 13155785580 13424271000 13542720450 13594311766 13813574859 13871746700 13994144465 14095484550 14121049320 14279739250 14393977164 14510057625 14565334035 14687731800 14709426375 14853306300 14862585750 15348416510 15661649500 15786942696 15914256750 15993307960 16251264540 16444731975 16582923000 16646096040 16792973358 16810773000 17135687100 17339683375 17478400842 17651311650 17823967560 17835102900 17992471455 18056960600 18359664750 18418099812 18566632875 18793979400 19346743500 19420445380 19612568500 19733678370 19816781000 19991634950 20136406500 20314080675 20391467649 20562824520 20766249000 20807620050 21219009000 21419608875 21926309300 22279959450 22293878625 22390631144 22571200750 23022624765 23216092200 23304534456 23492474250 23535082200 23989961940 24275556725 24479553000 24755510500 24969144060 25189460037 25216159500 25703530650 26211717000 26311571160 27085440900 27188623532 27407886625 27627149718 27743493400 27988288930 28190969100 28559478500 28787954328 29020115250 29130668070 29418852750 29706612600 29725171500 29987452425 30696833020 31211430075 31323299000 31828513500 32502529080 32889463950 33585946716 33856801125 33985779415 34271374200 34679366750 34956801684 35238711375 35302623300 35670205800 35984942910 36719329500 36836199624 37133265750 38371041275 38693487000 38840890760 39225137000 39467356740 39983269900 40272813000 40628161350 40782935298 41615240100 41982433395 42839217750 43696002105 43852618600 44128279125 44559918900 44587757250 45142401500 46045249530 46984948500 47580091181 47979923880 48551113450 49334195925 49511021000 49938288120 49979087375 50378920074 50432319000 51407061300 52019050125 54170881800 54377247064 54815773250 55254299436 55699898625 55976577860 56381938200 57118957000 58040230500 58261336140 58837705500 59450343000 59974904850 61174402947 61393666040 62422860150 63657027000 64258826625 65778927900 67171893432 67713602250 67971558830 69067874295 69358733500 69913603368 69970722325 70477422750 70605246600 71969885820 72826670175 73438659000 74266531500 76742082550 78934713480 79966539800 81256322700 81565870596 82223659875 83230480200 83964866790 85678435500 87392004210 88256558250 89119837800 89175514500 89962357275 90284803000 92090499060 93969897000 95160182362 97102226900 98668391850 99958174750 100757840148 101570403375 101957338245 102814122600 104038100250 109631546500 110508598872 111399797250 111953155720 115113123825 116080461000 116522672280 117675411000 119949809700 121377783625 122348805894 124845720300 125947300185 128517653250 131557855800 135427204500 135943117660 138135748590 138717467000 139941444650 140954845500 142740273543 143939771640 145653340350 148533063000 149937262125 153484165100 156057150375 162512645400 163131741192 164447319750 167929733580 169928897075 171356871000 174784008420 176513116500 178351029000 179924714550 184180998120 190320364724 191855206375 194204453800 197336783700 199916349500 201515680296 203140806750 203914676490 208076200500 209912166975 218480010525 219263093000 222799594500 230226247650 237900455905 239899619400 242755567250 244697611788 246670979625 249691440600 251894600370 257035306500 270854409000 271886235320 276271497180 279882889300 281909691000 285480547086 291306680700 299874524250 305872014735 306968330200 312114300750 328894639500 335859467160 339857794150 345339371475 349568016840 349853611625 353026233000 359849429100 364133350875 380640729448 383710412750 394673567400 399832699000 406281613500 407829352980 416152401000 419824333950 428220820629 436960021050 445599189000 449811786375 460452495300 475800911810 485511134500 489395223576 493341959250 503789200740 509786691225 514070613000 552542994360 559765778600 570961094172 575565619125 582613361400 599749048500 611744029470 624228601500 629736500925 657789279000 679715588300 690678742950 699707223250 713701367715 719698858200 728266701750 767420825500 812563227000 815658705960 839648667900 849644485375 856441641258 873920042100 899623572750 920904990600 951601823620 971022269000 986683918500 1007578401480 1019573382450 1049560834875 1092400052625 1141922188344 1151131238250 1189502279525 1199498097000 1223488058940 1248457203000 1259473001850 1359431176600 1381357485900 1399414446500 1427402735430 1456533403500 1529360073675 1534841651000 1679297335800 1699288970750 1712883282516 1726696857375 1747840084200 1799247145500 1903203647240 1973367837000 2039146764900 2099121669750 2141104103145 2184800105250 2302262476500 2379004559050 2446976117880 2518946003700 2548933456125 2762714971800 2798828893000 2854805470860 2913066807000 3058720147350 3148682504625 3398577941500 3425766565032 3453393714750 3568506838575 3598494291000 4078293529800 4198243339500 4282208206290 4369600210500 4604524953000 4758009118100 5037892007400 5097866912250 5709610941720 5947511397625 6117440294700 6297365009250 6797155883000 6906787429500 7137013677150 7646800368375 8396486679000 8564416412580 8739200421000 9516018236200 10195733824500 10705520515725 11895022795250 12234880589400 12594730018500 13813574859000 14274027354300 15293600736750 17128832825160 17842534192875 20391467649000 21411041031450 23790045590500 25189460037000 28548054708600 30587201473500 35685068385750 42822082062900 47580091181000 53527602578625 61174402947000 71370136771500 85644164125800 107055205157250 142740273543000 214110410314500 428220820629000
- Sum of all divisors σ(n): 1848897175011120
- Sum of proper divisors (its aliquot sum) s(n): 1420676354382120
- 428220820629000 is an abundant number, because the sum of its proper divisors (1420676354382120) is greater than itself. Its abundance is 992455533753120
Bases of 428220820629000
- Binary: 11000010101110110111011011110011000100110000010002
- Hexadecimal: 0x18576EDE62608
- Base-36: 47SHXG9O20
Squares and roots of 428220820629000
- 428220820629000 squared (4282208206290002) is 183373071220174191955641000000
- 428220820629000 cubed (4282208206290003) is 78524167039163054819571559385718189000000000
-
The
square root of 428220820629000 is 20693497.0613717199 -
The
cube root of 428220820629000 is 75374.1787290697
Scales and comparisons
How big is 428220820629000?- 428,220,820,629,000 seconds is equal to 13,616,097 years, 27 weeks, 1 day, 30 minutes.
-
To count from 1 to 428,220,820,629,000 would take you about thirty-four million, forty 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 428220820629000 cubic inches would be around 6281.2 feet tall.
Recreational maths with 428220820629000
- 428220820629000 backwards is 000926028022824
- 428220820629000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428220820629000's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 428220820629000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 428220820629000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/428220820629000/
Chicago style:
Numbermatics. 2024. "Number 428220820629000 - Facts about the integer". https://numbermatics.com/n/428220820629000/
The information we have on file for 428220820629000 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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