428132813242368
428,132,813,242,368 is an even composite number composed of five prime numbers multiplied together.
What does the number 428132813242368 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 736 divisors.
428132813242368 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred thirty-six divisors.
Prime factorization of 428132813242368:
222 × 3 × 133 × 17 × 911
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 13 × 17 × 911)See below for interesting mathematical facts about the number 428132813242368 from the Numbermatics database.
Names of 428132813242368
- Cardinal: 428132813242368 can be written as Four hundred twenty-eight trillion, one hundred thirty-two billion, eight hundred thirteen million, two hundred forty-two thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 4.28132813242368 × 1014
Factors of 428132813242368
Divisors of 428132813242368
- Number of divisors d(n): 736
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 169 192 204 208 221 256 272 312 338 384 408 416 442 507 512 544 624 663 676 768 816 832 884 911 1014 1024 1088 1248 1326 1352 1536 1632 1664 1768 1822 2028 2048 2176 2197 2496 2652 2704 2733 2873 3072 3264 3328 3536 3644 4056 4096 4352 4394 4992 5304 5408 5466 5746 6144 6528 6591 6656 7072 7288 8112 8192 8619 8704 8788 9984 10608 10816 10932 11492 11843 12288 13056 13182 13312 14144 14576 15487 16224 16384 17238 17408 17576 19968 21216 21632 21864 22984 23686 24576 26112 26364 26624 28288 29152 30974 32448 32768 34476 34816 35152 35529 37349 39936 42432 43264 43728 45968 46461 47372 49152 52224 52728 53248 56576 58304 61948 64896 65536 68952 69632 70304 71058 74698 79872 84864 86528 87456 91936 92922 94744 98304 104448 105456 106496 112047 113152 116608 123896 129792 131072 137904 139264 140608 142116 149396 153959 159744 169728 173056 174912 183872 185844 189488 196608 201331 208896 210912 212992 224094 226304 233216 247792 259584 262144 275808 278528 281216 284232 298792 307918 319488 339456 346112 349824 367744 371688 378976 393216 402662 417792 421824 425984 448188 452608 461877 466432 495584 519168 524288 551616 557056 562432 568464 597584 603993 615836 638976 678912 692224 699648 735488 743376 757952 786432 805324 835584 843648 851968 896376 905216 923754 932864 991168 1038336 1048576 1103232 1114112 1124864 1136928 1195168 1207986 1231672 1277952 1357824 1384448 1399296 1470976 1486752 1515904 1572864 1610648 1671168 1687296 1703936 1792752 1810432 1847508 1865728 1982336 2001467 2076672 2097152 2206464 2228224 2249728 2273856 2390336 2415972 2463344 2555904 2617303 2715648 2768896 2798592 2941952 2973504 3031808 3145728 3221296 3342336 3374592 3407872 3585504 3620864 3695016 3731456 3964672 4002934 4153344 4194304 4412928 4456448 4499456 4547712 4780672 4831944 4926688 5111808 5234606 5431296 5537792 5597184 5883904 5947008 6004401 6063616 6291456 6442592 6684672 6749184 6815744 7171008 7241728 7390032 7462912 7851909 7929344 8005868 8306688 8825856 8912896 8998912 9095424 9561344 9663888 9853376 10223616 10469212 10862592 11075584 11194368 11767808 11894016 12008802 12127232 12582912 12885184 13369344 13498368 13631488 14342016 14483456 14780064 14925824 15703818 15858688 16011736 16613376 17651712 17825792 17997824 18190848 19122688 19327776 19706752 20447232 20938424 21725184 22151168 22388736 23535616 23788032 24017604 24254464 25770368 26738688 26996736 27262976 28684032 28966912 29560128 29851648 31407636 31717376 32023472 33226752 34024939 35303424 35651584 35995648 36381696 38245376 38655552 39413504 40894464 41876848 43450368 44302336 44777472 47071232 47576064 48035208 48508928 51540736 53477376 53993472 54525952 57368064 57933824 59120256 59703296 62815272 63434752 64046944 66453504 68049878 70606848 71303168 71991296 72763392 76490752 77311104 78827008 81788928 83753696 86900736 88604672 89554944 94142464 95152128 96070416 97017856 102074817 103081472 106954752 107986944 114736128 115867648 118240512 119406592 125630544 126869504 128093888 132907008 136099756 141213696 143982592 145526784 152981504 154622208 157654016 163577856 167507392 173801472 177209344 179109888 188284928 190304256 192140832 194035712 204149634 206162944 213909504 215973888 229472256 231735296 236481024 238813184 251261088 253739008 256187776 265814016 272199512 282427392 287965184 291053568 305963008 309244416 315308032 335014784 347602944 354418688 358219776 376569856 380608512 384281664 388071424 408299268 412325888 431947776 458944512 463470592 472962048 477626368 502522176 507478016 512375552 531628032 544399024 564854784 575930368 582107136 611926016 618488832 630616064 670029568 695205888 708837376 716439552 753139712 761217024 768563328 776142848 816598536 824651776 863895552 917889024 926941184 945924096 955252736 1005044352 1014956032 1024751104 1063256064 1088798048 1129709568 1151860736 1164214272 1223852032 1236977664 1261232128 1340059136 1390411776 1432879104 1506279424 1522434048 1537126656 1552285696 1633197072 1649303552 1727791104 1835778048 1891848192 1910505472 2010088704 2029912064 2049502208 2126512128 2177596096 2259419136 2303721472 2328428544 2447704064 2473955328 2522464256 2680118272 2780823552 2865758208 3012558848 3044868096 3074253312 3104571392 3266394144 3298607104 3455582208 3671556096 3783696384 3821010944 4020177408 4059824128 4099004416 4355192192 4518838272 4607442944 4656857088 4895408128 4947910656 5044928512 5360236544 5731516416 6025117696 6089736192 6148506624 6209142784 6532788288 6597214208 6911164416 7343112192 7567392768 8040354816 8119648256 8198008832 8710384384 9037676544 9214885888 9313714176 9790816256 9895821312 10089857024 10720473088 11463032832 12050235392 12179472384 12297013248 12418285568 13065576576 13194428416 13822328832 14686224384 15134785536 16080709632 16239296512 16396017664 17420768768 18075353088 18627428352 19581632512 19791642624 20179714048 21440946176 24358944768 24594026496 24836571136 26131153152 26388856832 27644657664 29372448768 30269571072 32161419264 32478593024 32792035328 34841537536 36150706176 37254856704 39163265024 39583285248 40359428096 42881892352 48717889536 49188052992 49673142272 52262306304 52777713664 58744897536 60539142144 64322838528 64957186048 65584070656 69683075072 74509713408 78326530048 79166570496 80718856192 85763784704 97435779072 98376105984 104524612608 105555427328 117489795072 121078284288 128645677056 131168141312 139366150144 149019426816 156653060096 158333140992 161437712384 171527569408 194871558144 196752211968 209049225216 211110854656 234979590144 242156568576 257291354112 262336282624 278732300288 316666281984 322875424768 343055138816 393504423936 418098450432 422221709312 469959180288 484313137152 514582708224 524672565248 557464600576 633332563968 645750849536 686110277632 787008847872 836196900864 844443418624 968626274304 1029165416448 1049345130496 1114929201152 1266665127936 1372220555264 1574017695744 1672393801728 1937252548608 2058330832896 2098690260992 2229858402304 2533330255872 2744441110528 3148035391488 3344787603456 4116661665792 4197380521984 4459716804608 5488882221056 6296070782976 6689575206912 8233323331584 8394761043968 8919433609216 10977764442112 12592141565952 13379150413824 16466646663168 17838867218432 25184283131904 26758300827648 32933293326336 35677734436864 53516601655296 71355468873728 107033203310592 142710937747456 214066406621184 428132813242368
- Sum of all divisors σ(n): 1310974186314240
- Sum of proper divisors (its aliquot sum) s(n): 882841373071872
- 428132813242368 is an abundant number, because the sum of its proper divisors (882841373071872) is greater than itself. Its abundance is 454708559829504
Bases of 428132813242368
- Binary: 11000010101100010011100000100000000000000000000002
- Hexadecimal: 0x1856270400000
- Base-36: 47RDHYXXXC
Squares and roots of 428132813242368
- 428132813242368 squared (4281328132423682) is 183297705774824356301110247424
- 428132813242368 cubed (4281328132423683) is 78475762434247394597341234840750612159660032
-
The
square root of 428132813242368 is 20691370.5017905471 -
The
cube root of 428132813242368 is 75369.0147741995
Scales and comparisons
How big is 428132813242368?- 428,132,813,242,368 seconds is equal to 13,613,299 years, 8 weeks, 2 days, 12 minutes, 48 seconds.
-
To count from 1 to 428,132,813,242,368 would take you about thirty-four million, thirty-three thousand, two 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 428132813242368 cubic inches would be around 6280.8 feet tall.
Recreational maths with 428132813242368
- 428132813242368 backwards is 863242318231824
- The number of decimal digits it has is: 15
- The sum of 428132813242368's digits is 57
- More coming soon!
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The information we have on file for 428132813242368 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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