428490834688000
428,490,834,688,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 428490834688000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1344 divisors.
428490834688000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 428490834688000:
211 × 53 × 76 × 41 × 347
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 41 × 347)See below for interesting mathematical facts about the number 428490834688000 from the Numbermatics database.
Names of 428490834688000
- Cardinal: 428490834688000 can be written as Four hundred twenty-eight trillion, four hundred ninety billion, eight hundred thirty-four million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 4.28490834688 × 1014
Factors of 428490834688000
Divisors of 428490834688000
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 49 50 56 64 70 80 82 98 100 112 125 128 140 160 164 175 196 200 205 224 245 250 256 280 287 320 328 343 347 350 392 400 410 448 490 500 512 560 574 640 656 686 694 700 784 800 820 875 896 980 1000 1024 1025 1120 1148 1225 1280 1312 1372 1388 1400 1435 1568 1600 1640 1715 1735 1750 1792 1960 2000 2009 2048 2050 2240 2296 2401 2429 2450 2560 2624 2744 2776 2800 2870 3136 3200 3280 3430 3470 3500 3584 3920 4000 4018 4100 4480 4592 4802 4858 4900 5120 5125 5248 5488 5552 5600 5740 6125 6272 6400 6560 6860 6940 7000 7168 7175 7840 8000 8036 8200 8575 8675 8960 9184 9604 9716 9800 10045 10240 10250 10496 10976 11104 11200 11480 12005 12145 12250 12544 12800 13120 13720 13880 14000 14063 14227 14336 14350 15680 16000 16072 16400 16807 17003 17150 17350 17920 18368 19208 19432 19600 20090 20500 20992 21952 22208 22400 22960 24010 24290 24500 25088 25600 26240 27440 27760 28000 28126 28454 28700 31360 32000 32144 32800 33614 34006 34300 34700 35840 35875 36736 38416 38864 39200 40180 41000 41984 42875 43375 43904 44416 44800 45920 48020 48580 49000 50176 50225 51200 52480 54880 55520 56000 56252 56908 57400 60025 60725 62720 64000 64288 65600 67228 68012 68600 69400 70315 71135 71680 71750 73472 76832 77728 78400 80360 82000 83968 84035 85015 85750 86750 87808 88832 89600 91840 96040 97160 98000 98441 99589 100352 100450 104960 109760 111040 112000 112504 113816 114800 117649 119021 120050 121450 125440 128000 128576 131200 134456 136024 137200 138800 140630 142270 143500 146944 153664 155456 156800 160720 164000 168070 170030 171500 173500 175616 177664 179200 183680 192080 194320 196000 196882 199178 200900 209920 219520 222080 224000 225008 227632 229600 235298 238042 240100 242900 250880 251125 256000 257152 262400 268912 272048 274400 277600 281260 284540 287000 293888 300125 303625 307328 310912 313600 321440 328000 336140 340060 343000 347000 351232 351575 355328 355675 358400 367360 384160 388640 392000 393764 398356 401800 419840 420175 425075 439040 444160 448000 450016 455264 459200 470596 476084 480200 485800 492205 497945 501760 502250 514304 524800 537824 544096 548800 555200 562520 569080 574000 587776 588245 595105 600250 607250 614656 621824 627200 642880 656000 672280 680120 686000 689087 694000 697123 702464 703150 710656 711350 734720 768320 777280 784000 787528 796712 803600 833147 840350 850150 878080 888320 896000 900032 910528 918400 941192 952168 960400 971600 984410 995890 1004500 1028608 1049600 1075648 1088192 1097600 1110400 1125040 1138160 1148000 1176490 1190210 1200500 1214500 1229312 1243648 1254400 1285760 1312000 1344560 1360240 1372000 1378174 1388000 1394246 1406300 1422700 1469440 1536640 1554560 1568000 1575056 1593424 1607200 1666294 1680700 1700300 1756160 1757875 1776640 1778375 1792000 1800064 1821056 1836800 1882384 1904336 1920800 1943200 1968820 1991780 2009000 2057216 2099200 2100875 2125375 2151296 2176384 2195200 2220800 2250080 2276320 2296000 2352980 2380420 2401000 2429000 2458624 2461025 2487296 2489725 2508800 2571520 2624000 2689120 2720480 2744000 2756348 2776000 2788492 2812600 2845400 2938880 2941225 2975525 3073280 3109120 3136000 3150112 3186848 3214400 3332588 3361400 3400600 3445435 3485615 3512320 3515750 3553280 3556750 3600128 3642112 3673600 3764768 3808672 3841600 3886400 3937640 3983560 4018000 4114432 4165735 4201750 4250750 4302592 4352768 4390400 4441600 4500160 4552640 4592000 4705960 4760840 4802000 4823609 4858000 4879861 4917248 4922050 4974592 4979450 5143040 5248000 5378240 5440960 5488000 5512696 5552000 5576984 5625200 5690800 5832029 5882450 5951050 6146560 6218240 6272000 6300224 6373696 6428800 6665176 6722800 6801200 6890870 6971230 7031500 7113500 7200256 7284224 7347200 7529536 7617344 7683200 7772800 7875280 7967120 8036000 8331470 8403500 8501500 8605184 8705536 8780800 8883200 9000320 9105280 9184000 9411920 9521680 9604000 9647218 9716000 9759722 9844100 9958900 10286080 10496000 10756480 10881920 10976000 11025392 11104000 11153968 11250400 11381600 11664058 11764900 11902100 12293120 12305125 12436480 12448625 12544000 12600448 12747392 12857600 13330352 13445600 13602400 13781740 13942460 14063000 14227000 14400512 14568448 14694400 14706125 14877625 15059072 15234688 15366400 15545600 15750560 15934240 16072000 16662940 16807000 17003000 17210368 17227175 17411072 17428075 17561600 17766400 18000640 18210560 18368000 18823840 19043360 19208000 19294436 19432000 19519444 19688200 19917800 20572160 20828675 21512960 21763840 21952000 22050784 22208000 22307936 22500800 22763200 23328116 23529800 23804200 24118045 24399305 24586240 24610250 24872960 24897250 25200896 25494784 25715200 26660704 26891200 27204800 27563480 27884920 28126000 28454000 28801024 29136896 29160145 29412250 29755250 30118144 30469376 30732800 31091200 31501120 31868480 32144000 33325880 33614000 34006000 34159027 34420736 34454350 34822144 34856150 36001280 36421120 36736000 37647680 38086720 38416000 38588872 38864000 39038888 39376400 39835600 40824203 41657350 43025920 43527680 43904000 44101568 44416000 44615872 45001600 45526400 46656232 47059600 47608400 48236090 48798610 49220500 49794500 50401792 50989568 51430400 53321408 53782400 54409600 55126960 55769840 56252000 56908000 58320290 58824500 59510500 60236288 60938752 61465600 62182400 63002240 63736960 64288000 66651760 67228000 68012000 68318054 68908700 69712300 72002560 72842240 73472000 75295360 76173440 76832000 77177744 77728000 78077776 78752800 79671200 81648406 83314700 86051840 86135875 87055360 87140375 87808000 88203136 88832000 89231744 90003200 91052800 93312464 94119200 95216800 96472180 97597220 98441000 99589000 100803584 101979136 102860800 104143375 106642816 107564800 108819200 110253920 111539680 112504000 113816000 116640580 117649000 119021000 120472576 120590225 121877504 121996525 122931200 124364800 126004480 127473920 128576000 133303520 134456000 136024000 136636108 137817400 139424600 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533214080 537824000 544096000 546544432 551269600 557698400 583202900 602362880 602951125 609387520 609982625 614656000 617421952 621824000 624622208 630022400 637369600 653187248 666517600 683180540 689087000 697123000 705625088 713853952 720025600 728422400 729003625 746499712 752953600 761734400 771777440 780777760 787528000 796712000 816484060 833147000 853142528 853975675 860518400 870553600 882031360 892317440 900032000 910528000 933124640 941192000 952168000 956452756 964721800 975972200 1008035840 1019791360 1020605075 1066428160 1075648000 1088192000 1093088864 1102539200 1115396800 1166405800 1195565945 1204725760 1205902250 1218775040 1219965250 1234843904 1249244416 1260044800 1274739200 1306374496 1333035200 1366361080 1378174000 1394246000 1411250176 1427707904 1458007250 1492999424 1505907200 1523468800 1543554880 1561555520 1575056000 1593424000 1632968120 1666294000 1673792323 1706285056 1707951350 1764062720 1784634880 1800064000 1821056000 1866249280 1882384000 1904336000 1912905512 1929443600 1951944400 2041210150 2132856320 2151296000 2176384000 2186177728 2205078400 2230793600 2332811600 2391131890 2411804500 2439930500 2469687808 2498488832 2520089600 2549478400 2612748992 2666070400 2732722160 2756348000 2788492000 2916014500 2985998848 3011814400 3046937600 3087109760 3123111040 3150112000 3186848000 3265936240 3332588000 3347584646 3415902700 3528125440 3569269760 3600128000 3642112000 3732498560 3764768000 3808672000 3825811024 3858887200 3903888800 4082420300 4265712640 4269878375 4302592000 4352768000 4372355456 4410156800 4461587200 4665623200 4782263780 4823609000 4879861000 4939375616 4996977664 5040179200 5098956800 5103025375 5225497984 5332140800 5465444320 5512696000 5576984000 5832029000 5971997696 5977829725 6023628800 6093875200 6174219520 6246222080 6300224000 6373696000 6531872480 6665176000 6695169292 6831805400 7056250880 7138539520 7464997120 7529536000 7617344000 7651622048 7717774400 7807777600 8164840600 8368961615 8531425280 8539756750 8744710912 8820313600 8923174400 9331246400 9564527560 9647218000 9759722000 9878751232 9993955328 10206050750 10450995968 10664281600 10930888640 11025392000 11153968000 11664058000 11943995392 11955659450 12348439040 12492444160 12600448000 12747392000 13063744960 13330352000 13390338584 13663610800 14929994240 15059072000 15234688000 15303244096 15435548800 15615555200 16329681200 16737923230 17079513500 17489421824 17640627200 17846348800 18662492800 19129055120 19294436000 19519444000 20412101500 20901991936 21328563200 21861777280 22050784000 22307936000 23328116000 23911318900 24696878080 24984888320 25200896000 25494784000 26127489920 26660704000 26780677168 27327221600 29859988480 29889148625 30118144000 30469376000 30606488192 30871097600 31231110400 32659362400 33475846460 34159027000 34978843648 35281254400 35692697600 37324985600 38258110240 38588872000 39038888000 40824203000 41803983872 41844808075 42657126400 43723554560 44101568000 44615872000 46656232000 47822637800 49393756160 49969776640 52254979840 53321408000 53561354336 54654443200 59719976960 59778297250 61212976384 61742195200 62462220800 65318724800 66951692920 68318054000 69957687296 74649971200 76516220480 77177744000 78077776000 81648406000 83607967744 83689616150 87447109120 88203136000 89231744000 93312464000 95645275600 104509959680 106642816000 107122708672 109308886400 119556594500 122425952768 123484390400 124924441600 130637449600 133903385840 136636108000 149299942400 153032440960 154355488000 156155552000 163296812000 167379232300 174894218240 176406272000 178463488000 186624928000 191290551200 209019919360 209224040375 213285632000 214245417344 218617772800 239113189000 244851905536 246968780800 249848883200 261274899200 267806771680 273272216000 298599884800 306064881920 308710976000 312311104000 326593624000 334758464600 349788436480 373249856000 382581102400 418039838720 418448080750 428490834688 437235545600 478226378000 489703811072 522549798400 535613543360 546544432000 612129763840 617421952000 624622208000 653187248000 669516929200 746499712000 765162204800 836896161500 856981669376 874471091200 956452756000 1045099596800 1071227086720 1093088864000 1224259527680 1234843904000 1249244416000 1306374496000 1339033858400 1492999424000 1530324409600 1673792323000 1713963338752 1748942182400 1912905512000 2090199193600 2142454173440 2186177728000 2448519055360 2612748992000 2678067716800 3060648819200 3347584646000 3427926677504 3825811024000 4284908346880 4372355456000 5225497984000 5356135433600 6121297638400 6695169292000 7651622048000 8569816693760 8744710912000 10450995968000 10712270867200 12242595276800 13390338584000 15303244096000 17139633387520 21424541734400 26780677168000 30606488192000 42849083468800 53561354336000 61212976384000 85698166937600 107122708672000 214245417344000 428490834688000
- Sum of all divisors σ(n): 1281567664671840
- Sum of proper divisors (its aliquot sum) s(n): 853076829983840
- 428490834688000 is an abundant number, because the sum of its proper divisors (853076829983840) is greater than itself. Its abundance is 424585995295840
Bases of 428490834688000
- Binary: 11000010110110101110010111111110110111000000000002
- Hexadecimal: 0x185B5CBFDB800
- Base-36: 47VXYZO1DS
Squares and roots of 428490834688000
- 428490834688000 squared (4284908346880002) is 183604395411618944057344000000
- 428490834688000 cubed (4284908346880003) is 78672800642310198672524507896348672000000000
-
The
square root of 428490834688000 is 20700020.1615360749 -
The
cube root of 428490834688000 is 75390.0177625773
Scales and comparisons
How big is 428490834688000?- 428,490,834,688,000 seconds is equal to 13,624,683 years, 6 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 428,490,834,688,000 would take you about thirty-four million, sixty-one thousand, seven hundred 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 428490834688000 cubic inches would be around 6282.5 feet tall.
Recreational maths with 428490834688000
- 428490834688000 backwards is 000886438094824
- 428490834688000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428490834688000's digits is 64
- More coming soon!
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The information we have on file for 428490834688000 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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