420520428306432
420,520,428,306,432 is an even composite number composed of four prime numbers multiplied together.
What does the number 420520428306432 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 828 divisors.
420520428306432 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred twenty-eight divisors.
Prime factorization of 420520428306432:
222 × 33 × 412 × 472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 41 × 41 × 47 × 47)See below for interesting mathematical facts about the number 420520428306432 from the Numbermatics database.
Names of 420520428306432
- Cardinal: 420520428306432 can be written as Four hundred twenty trillion, five hundred twenty billion, four hundred twenty-eight million, three hundred six thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 4.20520428306432 × 1014
Factors of 420520428306432
Divisors of 420520428306432
- Number of divisors d(n): 828
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 47 48 54 64 72 82 94 96 108 123 128 141 144 164 188 192 216 246 256 282 288 328 369 376 384 423 432 492 512 564 576 656 738 752 768 846 864 984 1024 1107 1128 1152 1269 1312 1476 1504 1536 1681 1692 1728 1927 1968 2048 2209 2214 2256 2304 2538 2624 2952 3008 3072 3362 3384 3456 3854 3936 4096 4418 4428 4512 4608 5043 5076 5248 5781 5904 6016 6144 6627 6724 6768 6912 7708 7872 8192 8836 8856 9024 9216 10086 10152 10496 11562 11808 12032 12288 13254 13448 13536 13824 15129 15416 15744 16384 17343 17672 17712 18048 18432 19881 20172 20304 20992 23124 23616 24064 24576 26508 26896 27072 27648 30258 30832 31488 32768 34686 35344 35424 36096 36864 39762 40344 40608 41984 45387 46248 47232 48128 49152 52029 53016 53792 54144 55296 59643 60516 61664 62976 65536 69372 70688 70848 72192 73728 79007 79524 80688 81216 83968 90569 90774 92496 94464 96256 98304 104058 106032 107584 108288 110592 119286 121032 123328 125952 131072 138744 141376 141696 144384 147456 158014 159048 161376 162432 167936 181138 181548 184992 188928 192512 196608 208116 212064 215168 216576 221184 237021 238572 242064 246656 251904 262144 271707 277488 282752 283392 288768 294912 316028 318096 322752 324864 335872 362276 363096 369984 377856 385024 393216 416232 424128 430336 433152 442368 474042 477144 484128 493312 503808 524288 543414 554976 565504 566784 577536 589824 632056 636192 645504 649728 671744 711063 724552 726192 739968 755712 770048 786432 815121 832464 848256 860672 866304 884736 948084 954288 968256 986624 1007616 1048576 1086828 1109952 1131008 1133568 1155072 1179648 1264112 1272384 1291008 1299456 1343488 1422126 1449104 1452384 1479936 1511424 1540096 1572864 1630242 1664928 1696512 1721344 1732608 1769472 1896168 1908576 1936512 1973248 2015232 2097152 2133189 2173656 2219904 2262016 2267136 2310144 2359296 2445363 2528224 2544768 2582016 2598912 2686976 2844252 2898208 2904768 2959872 3022848 3080192 3145728 3260484 3329856 3393024 3442688 3465216 3538944 3713329 3792336 3817152 3873024 3946496 4030464 4194304 4266378 4347312 4439808 4524032 4534272 4620288 4718592 4890726 5056448 5089536 5164032 5197824 5373952 5688504 5796416 5809536 5919744 6045696 6160384 6291456 6520968 6659712 6786048 6885376 6930432 7077888 7426658 7584672 7634304 7746048 7892992 8060928 8532756 8694624 8879616 9048064 9068544 9240576 9437184 9781452 10112896 10179072 10328064 10395648 10747904 11139987 11377008 11592832 11619072 11839488 12091392 12320768 12582912 13041936 13319424 13572096 13770752 13860864 14155776 14853316 15169344 15268608 15492096 15785984 16121856 17065512 17389248 17759232 18096128 18137088 18481152 18874368 19562904 20225792 20358144 20656128 20791296 21495808 22279974 22754016 23185664 23238144 23678976 24182784 24641536 26083872 26638848 27144192 27541504 27721728 28311552 29706632 30338688 30537216 30984192 31571968 32243712 33419961 34131024 34778496 35518464 36192256 36274176 36962304 37748736 39125808 40451584 40716288 41312256 41582592 42991616 44559948 45508032 46371328 46476288 47357952 48365568 49283072 52167744 53277696 54288384 55083008 55443456 56623104 59413264 60677376 61074432 61968384 63143936 64487424 66839922 68262048 69556992 71036928 72384512 72548352 73924608 78251616 80903168 81432576 82624512 83165184 85983232 89119896 91016064 92742656 92952576 94715904 96731136 98566144 100259883 104335488 106555392 108576768 110166016 110886912 113246208 118826528 121354752 122148864 123936768 126287872 128974848 133679844 136524096 139113984 142073856 144769024 145096704 147849216 156503232 161806336 162865152 165249024 166330368 171966464 178239792 182032128 185485312 185905152 189431808 193462272 197132288 200519766 208670976 213110784 217153536 220332032 221773824 237653056 242709504 244297728 247873536 252575744 257949696 267359688 273048192 278227968 284147712 289538048 290193408 295698432 313006464 323612672 325730304 330498048 332660736 356479584 364064256 370970624 371810304 378863616 386924544 401039532 417341952 426221568 434307072 440664064 443547648 475306112 485419008 488595456 495747072 505151488 515899392 534719376 546096384 556455936 568295424 579076096 580386816 591396864 626012928 647225344 651460608 660996096 665321472 712959168 728128512 741941248 743620608 757727232 773849088 802079064 834683904 852443136 868614144 881328128 887095296 950612224 970838016 977190912 991494144 1010302976 1069438752 1092192768 1112911872 1136590848 1158152192 1160773632 1252025856 1294450688 1302921216 1321992192 1330642944 1425918336 1456257024 1483882496 1487241216 1515454464 1547698176 1604158128 1669367808 1704886272 1737228288 1762656256 1774190592 1901224448 1941676032 1954381824 1982988288 2020605952 2138877504 2184385536 2225823744 2273181696 2316304384 2321547264 2504051712 2588901376 2605842432 2643984384 2661285888 2851836672 2912514048 2967764992 2974482432 3030908928 3208316256 3338735616 3409772544 3474456576 3525312512 3802448896 3883352064 3908763648 3965976576 4041211904 4277755008 4368771072 4451647488 4546363392 4632608768 4643094528 5008103424 5177802752 5211684864 5287968768 5322571776 5703673344 5825028096 5935529984 5948964864 6061817856 6416632512 6677471232 6819545088 6948913152 7050625024 7604897792 7766704128 7817527296 7931953152 8082423808 8555510016 8737542144 8903294976 9092726784 9265217536 10016206848 10355605504 10423369728 10575937536 11407346688 11650056192 11871059968 11897929728 12123635712 12833265024 13354942464 13639090176 13897826304 15209795584 15533408256 15635054592 15863906304 17111020032 17475084288 17806589952 18185453568 20032413696 20711211008 20846739456 21151875072 22814693376 23300112384 23742119936 23795859456 24247271424 25666530048 26709884928 27278180352 27795652608 30419591168 31066816512 31270109184 31727812608 34222040064 34950168576 35613179904 36370907136 40064827392 41422422016 41693478912 45629386752 46600224768 47484239872 47591718912 51333060096 53419769856 54556360704 60839182336 62133633024 62540218368 63455625216 68444080128 69900337152 71226359808 72741814272 80129654784 82844844032 83386957824 91258773504 93200449536 94968479744 95183437824 102666120192 106839539712 109112721408 121678364672 124267266048 125080436736 136888160256 139800674304 142452719616 160259309568 165689688064 182517547008 186400899072 189936959488 190366875648 205332240384 213679079424 218225442816 243356729344 248534532096 250160873472 273776320512 279601348608 284905439232 320518619136 331379376128 365035094016 372801798144 379873918976 410664480768 427358158848 486713458688 497069064192 547552641024 559202697216 569810878464 641037238272 730070188032 745603596288 821328961536 854716317696 973426917376 994138128384 1095105282048 1118405394432 1139621756928 1282074476544 1460140376064 1491207192576 1642657923072 1709432635392 1946853834752 2190210564096 2236810788864 2564148953088 2920280752128 2982414385152 3285315846144 3418865270784 3893707669504 4380421128192 4473621577728 5128297906176 5840561504256 6570631692288 7787415339008 8760842256384 8947243155456 10256595812352 11681123008512 13141263384576 15574830678016 17521684512768 23362246017024 26282526769152 35043369025536 46724492034048 52565053538304 70086738051072 105130107076608 140173476102144 210260214153216 420520428306432
- Sum of all divisors σ(n): 1304868287051080
- Sum of proper divisors (its aliquot sum) s(n): 884347858744648
- 420520428306432 is an abundant number, because the sum of its proper divisors (884347858744648) is greater than itself. Its abundance is 463827430438216
Bases of 420520428306432
- Binary: 10111111001110110000010101100000000000000000000002
- Hexadecimal: 0x17E760AC00000
- Base-36: 4528F1HXC0
Squares and roots of 420520428306432
- 420520428306432 squared (4205204283064322) is 176837430623025015679692570624
- 420520428306432 cubed (4205204283064323) is 74363752066203433789005832311984260873453568
-
The
square root of 420520428306432 is 20506594.7516020319 -
The
cube root of 420520428306432 is 74919.6430189823
Scales and comparisons
How big is 420520428306432?- 420,520,428,306,432 seconds is equal to 13,371,248 years, 44 weeks, 6 days, 21 hours, 7 minutes, 12 seconds.
-
To count from 1 to 420,520,428,306,432 would take you about thirty-three million, four hundred twenty-eight thousand, one hundred twenty-two 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 420520428306432 cubic inches would be around 6243.3 feet tall.
Recreational maths with 420520428306432
- 420520428306432 backwards is 234603824025024
- The number of decimal digits it has is: 15
- The sum of 420520428306432's digits is 45
- More coming soon!
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The information we have on file for 420520428306432 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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