428234720399200
428,234,720,399,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 428234720399200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
428234720399200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 428234720399200:
25 × 52 × 11 × 132 × 712 × 2392
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 13 × 71 × 71 × 239 × 239)See below for interesting mathematical facts about the number 428234720399200 from the Numbermatics database.
Names of 428234720399200
- Cardinal: 428234720399200 can be written as Four hundred twenty-eight trillion, two hundred thirty-four billion, seven hundred twenty million, three hundred ninety-nine thousand, two hundred.
Scientific notation
- Scientific notation: 4.282347203992 × 1014
Factors of 428234720399200
Divisors of 428234720399200
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 65 71 80 88 100 104 110 130 142 143 160 169 176 200 208 220 239 260 275 284 286 325 338 352 355 400 416 440 478 520 550 568 572 650 676 710 715 781 800 845 880 923 956 1040 1100 1136 1144 1195 1300 1352 1420 1430 1562 1690 1760 1775 1846 1859 1912 2080 2200 2272 2288 2390 2600 2629 2704 2840 2860 3107 3124 3380 3550 3575 3692 3718 3824 3905 4225 4400 4576 4615 4780 5041 5200 5258 5408 5680 5720 5975 6214 6248 6760 7100 7150 7384 7436 7648 7810 8450 8800 9230 9295 9560 10082 10153 10400 10516 11360 11440 11950 11999 12428 12496 13145 13520 14200 14300 14768 14872 15535 15620 16900 16969 18460 18590 19120 19525 20164 20306 21032 22880 23075 23900 23998 24856 24992 25205 26290 27040 28400 28600 29536 29744 31070 31240 33800 33938 34177 36920 37180 38240 39050 40328 40391 40612 42064 46150 46475 47800 47996 49712 50410 50765 52580 55451 56800 57121 57200 59488 59995 62140 62480 65533 65725 67600 67876 68354 73840 74360 77675 78100 80656 80782 81224 84128 84845 92300 92950 95600 95992 99424 100820 101530 105160 110902 114242 114400 119990 124280 124960 126025 131066 131450 131989 135200 135752 136708 147680 148720 155350 156200 161312 161564 162448 169690 170885 184600 185900 186659 191200 191984 201640 201955 203060 210320 220597 221804 228484 239980 248560 252050 253825 262132 262900 263978 271504 273416 277255 285605 297440 299975 310700 312400 323128 324896 327665 339380 341770 369200 371800 373318 383968 403280 403910 406120 420640 424225 441194 443608 444301 456968 479960 497120 504100 507650 524264 525800 527956 543008 546832 554510 571210 599950 621400 624800 628331 646256 655330 659945 678760 683540 720863 738400 742573 743600 746636 806560 807820 812240 848450 851929 854425 882388 887216 888602 913936 933295 959920 1008200 1009775 1015300 1048528 1051600 1055912 1093664 1102985 1109020 1142420 1199900 1204799 1242800 1256662 1292512 1310660 1319890 1357520 1367080 1386275 1428025 1441726 1485146 1487200 1493272 1615640 1624480 1638325 1696900 1703858 1708850 1764776 1774432 1777204 1827872 1866590 1919840 2016400 2019550 2030600 2097056 2103200 2111824 2205970 2218040 2221505 2284840 2399800 2409598 2426567 2485600 2513324 2621320 2639780 2715040 2734160 2772550 2856050 2867761 2883452 2970292 2986544 3141655 3231280 3276650 3299725 3393800 3407716 3417700 3529552 3554408 3604315 3712865 3733180 4032800 4039100 4055591 4061200 4223648 4259645 4411940 4436080 4443010 4569680 4666475 4799600 4819196 4853134 5026648 5242640 5279560 5468320 5514925 5545100 5712100 5735522 5766904 5940584 5973088 6023995 6283310 6462560 6553300 6599450 6787600 6815432 6835400 7059104 7108816 7208630 7425730 7466360 8078200 8111182 8122400 8168303 8519290 8823880 8872160 8886020 9139360 9332950 9371219 9599200 9638392 9653449 9706268 10053296 10485280 10559120 11029850 11090200 11107525 11424200 11471044 11533808 11881168 12047990 12132835 12566620 13106600 13198900 13252789 13575200 13630864 13670800 14217632 14338805 14417260 14851460 14932720 15662387 15708275 16156400 16222364 16336606 17038580 17647760 17772040 18021575 18564325 18665900 18742438 19276784 19306898 19412536 20106592 20277955 21118240 21298225 22059700 22180400 22215050 22848400 22942088 23067616 23762336 24095980 24265670 25133240 26213200 26397800 26505578 27261728 27341600 28677610 28834520 29702920 29865440 30119975 31324774 31416550 31545371 32312800 32444728 32673212 34077160 35295520 35544080 36043150 37128650 37331800 37484876 38553568 38613796 38825072 40555910 40841515 42596450 44119400 44360800 44430100 44611501 45696800 45884176 46856095 48191960 48267245 48531340 50266480 52426400 52722683 52795600 53011156 57355220 57669040 59405840 60239950 60664175 62649548 62833100 63090742 64889456 65346424 66263945 68154320 71088160 71694025 72086300 74257300 74663600 74969752 77227592 77650144 78311935 81111820 81683030 85192900 88238800 88860200 89223002 91768352 93712190 96383920 96534490 97062680 100532960 101389775 105445366 105591200 106022312 106187939 114710440 115338080 118811680 120479900 121328350 125299096 125666200 126181484 129778912 130692848 132527890 136308640 143388050 144172600 148514600 149327200 149939504 154455184 156623870 157726855 162223640 163366060 170385800 172286257 176477600 177720400 178446004 187424380 192767840 193068980 194125360 202779550 203611031 204207575 210890732 212044624 212375878 223057505 229420880 234280475 240959800 241336225 242656700 250598192 251332400 252362968 261385696 263613415 265055780 286776100 287946961 288345200 297029200 299879008 308910368 313247740 315453710 324447280 326732120 331319725 340771600 344572514 355440800 356892008 374848760 386137960 388250720 391559675 405559100 407222062 408415150 421781464 424089248 424751756 446115010 458841760 468560950 481919600 482672450 485313400 501196384 502664800 504725936 527226830 530111560 530939695 573552200 575893922 576690400 579949513 594058400 626495480 630907420 648894560 653464240 662639450 681543200 685394879 689145028 713784016 749697520 772275920 783119350 788634275 811118200 814444124 816830300 843562928 849503512 861431285 892230020 937121900 963839200 965344900 970626800 1009451872 1018055155 1054453660 1060223120 1061879390 1115287525 1147104400 1151787844 1159899026 1252990960 1261814840 1306928480 1318067075 1325278900 1370789758 1378290056 1427568032 1439734805 1499395040 1544551840 1566238700 1577268550 1622236400 1628888248 1633660600 1687125856 1699007024 1722862570 1784460040 1874243800 1930689800 1941253600 2036110310 2108907320 2120446240 2123758780 2230575050 2239721341 2294208800 2303575688 2319798052 2505981920 2523629680 2636134150 2650557800 2654698475 2741579516 2756580112 2879469610 2899747565 3132477400 3154537100 3167416571 3244472800 3257776496 3267321200 3398014048 3426974395 3445725140 3568920080 3743310493 3748487600 3861379600 4072220620 4217814640 4247517560 4307156425 4461150100 4479442682 4607151376 4639596104 5047259360 5090275775 5272268300 5301115600 5309396950 5483159032 5513160224 5758939220 5799495130 6264954800 6309074200 6334833142 6515552992 6534642400 6853948790 6891450280 7137840160 7198674025 7486620986 7496975200 7539343669 7722759200 8144441240 8435629280 8495035120 8614312850 8922300200 8958885364 9214302752 9279192208 10180551550 10544536600 10602231200 10618793900 10966318064 11198606705 11517878440 11598990260 12529909600 12618148400 12669666284 13707897580 13782900560 14397348050 14498737825 14973241972 15078687338 15837082855 16288882480 16990070240 17134871975 17228625700 17844600400 17917770728 18558384416 18716552465 20361103100 21089073200 21237587800 21932636128 22397213410 23035756880 23197980520 25236296800 25339332568 27415795160 27565801120 28794696100 28997475650 29946483944 30157374676 31674165710 32577764960 34269743950 34457251400 35689200800 35835541456 37433104930 37696718345 40722206200 41176415423 42178146400 42475175600 44794426820 46071513760 46395961040 48663036409 50678665136 54831590320 55993033525 57589392200 57994951300 59892967888 60314749352 63348331420 68539487900 68914502800 71671082912 74866209860 75393436690 79185414275 81444412400 82352830846 84950351200 89588853640 92791922080 93582762325 97326072818 101357330272 109663180640 111986067050 115178784400 115989902600 119785935776 120629498704 126696662840 137078975800 137829005600 149732419720 150786873380 158370828550 162888824800 164705661692 179177707280 187165524650 188483591725 194652145636 205882077115 223972134100 230357568800 231979805200 241258997408 243315182045 253393325680 274157951600 299464839440 301573746760 316741657100 329411323384 358355414560 374331049300 376967183450 389304291272 411764154230 447944268200 463959610400 486630364090 506786651360 535293400499 548315903200 598929678880 603147493520 633483314200 658822646768 748662098600 753934366900 778608582544 823528308460 895888536400 973260728180 1029410385575 1070586800998 1206294987040 1216575910225 1266966628400 1317645293536 1497324197200 1507868733800 1557217165088 1647056616920 1791777072800 1946521456360 2058820771150 2141173601996 2433151820450 2533933256800 2676467002495 2994648394400 3015737467600 3294113233840 3893042912720 4117641542300 4282347203992 4866303640900 5352934004990 6031474935200 6588226467680 7786085825440 8235283084600 8564694407984 9732607281800 10705868009980 13382335012475 16470566169200 17129388815968 19465214563600 21411736019960 26764670024950 32941132338400 38930429127200 42823472039920 53529340049900 85646944079840 107058680099800 214117360199600 428234720399200
- Sum of all divisors σ(n): 1257844878376884
- Sum of proper divisors (its aliquot sum) s(n): 829610157977684
- 428234720399200 is an abundant number, because the sum of its proper divisors (829610157977684) is greater than itself. Its abundance is 401375437578484
Bases of 428234720399200
- Binary: 11000010101111010001010100110001111001111011000002
- Hexadecimal: 0x1857A2A63CF60
- Base-36: 47SOBBTZDS
Squares and roots of 428234720399200
- 428234720399200 squared (4282347203992002) is 183384975755381000607360640000
- 428234720399200 cubed (4282347203992003) is 78531813818019653609961009051879167488000000
-
The
square root of 428234720399200 is 20693832.9073953817 -
The
cube root of 428234720399200 is 75374.9942525703
Scales and comparisons
How big is 428234720399200?- 428,234,720,399,200 seconds is equal to 13,616,539 years, 25 weeks, 3 days, 23 hours, 46 minutes, 40 seconds.
-
To count from 1 to 428,234,720,399,200 would take you about thirty-four million, forty-one thousand, three hundred forty-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 428234720399200 cubic inches would be around 6281.2 feet tall.
Recreational maths with 428234720399200
- 428234720399200 backwards is 002993027432824
- 428234720399200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428234720399200's digits is 55
- More coming soon!
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The information we have on file for 428234720399200 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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