428669403136000
428,669,403,136,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 428669403136000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
428669403136000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 428669403136000:
223 × 53 × 132 × 41 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 41 × 59)See below for interesting mathematical facts about the number 428669403136000 from the Numbermatics database.
Names of 428669403136000
- Cardinal: 428669403136000 can be written as Four hundred twenty-eight trillion, six hundred sixty-nine billion, four hundred three million, one hundred thirty-six thousand.
Scientific notation
- Scientific notation: 4.28669403136 × 1014
Factors of 428669403136000
Divisors of 428669403136000
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 41 50 52 59 64 65 80 82 100 104 118 125 128 130 160 164 169 200 205 208 236 250 256 260 295 320 325 328 338 400 410 416 472 500 512 520 533 590 640 650 656 676 767 800 820 832 845 944 1000 1024 1025 1040 1066 1180 1280 1300 1312 1352 1475 1534 1600 1625 1640 1664 1690 1888 2000 2048 2050 2080 2132 2360 2419 2560 2600 2624 2665 2704 2950 3068 3200 3250 3280 3328 3380 3776 3835 4000 4096 4100 4160 4225 4264 4720 4838 5120 5125 5200 5248 5330 5408 5900 6136 6400 6500 6560 6656 6760 6929 7375 7552 7670 8000 8192 8200 8320 8450 8528 9440 9676 9971 10240 10250 10400 10496 10660 10816 11800 12095 12272 12800 13000 13120 13312 13325 13520 13858 14750 15104 15340 16000 16384 16400 16640 16900 17056 18880 19175 19352 19942 20480 20500 20800 20992 21125 21320 21632 23600 24190 24544 25600 26000 26240 26624 26650 27040 27716 29500 30208 30680 31447 32000 32768 32800 33280 33800 34112 34645 37760 38350 38704 39884 40960 41000 41600 41984 42250 42640 43264 47200 48380 49088 49855 51200 52000 52480 53248 53300 54080 55432 59000 60416 60475 61360 62894 64000 65536 65600 66560 66625 67600 68224 69290 75520 76700 77408 79768 81920 82000 83200 83968 84500 85280 86528 94400 95875 96760 98176 99710 102400 104000 104960 106496 106600 108160 110864 118000 120832 120950 122720 125788 128000 131072 131200 133120 133250 135200 136448 138580 151040 153400 154816 157235 159536 163840 164000 166400 167936 169000 170560 173056 173225 188800 191750 193520 196352 199420 204800 208000 209920 212992 213200 216320 221728 236000 241664 241900 245440 249275 251576 256000 262144 262400 266240 266500 270400 272896 277160 302080 302375 306800 309632 314470 319072 327680 328000 332800 335872 338000 341120 346112 346450 377600 383500 387040 392704 398840 408811 409600 416000 419840 425984 426400 432640 443456 472000 483328 483800 490880 498550 503152 512000 524288 524800 532480 533000 540800 545792 554320 604160 604750 613600 619264 628940 638144 655360 656000 665600 671744 676000 682240 692224 692900 755200 767000 774080 785408 786175 797680 817622 819200 832000 839680 851968 852800 865280 866125 886912 944000 966656 967600 981760 997100 1006304 1024000 1048576 1049600 1064960 1066000 1081600 1091584 1108640 1208320 1209500 1227200 1238528 1246375 1257880 1276288 1310720 1312000 1331200 1343488 1352000 1364480 1384448 1385800 1510400 1534000 1548160 1570816 1572350 1595360 1635244 1638400 1664000 1679360 1703936 1705600 1730560 1732250 1773824 1888000 1933312 1935200 1963520 1994200 2012608 2044055 2048000 2097152 2099200 2129920 2132000 2163200 2183168 2217280 2416640 2419000 2454400 2477056 2492750 2515760 2552576 2621440 2624000 2662400 2686976 2704000 2728960 2768896 2771600 3020800 3068000 3096320 3141632 3144700 3190720 3270488 3276800 3328000 3358720 3407872 3411200 3461120 3464500 3547648 3776000 3866624 3870400 3927040 3930875 3988400 4025216 4088110 4096000 4194304 4198400 4259840 4264000 4326400 4366336 4434560 4833280 4838000 4908800 4954112 4985500 5031520 5105152 5242880 5248000 5324800 5373952 5408000 5457920 5537792 5543200 6041600 6136000 6192640 6283264 6289400 6381440 6540976 6553600 6656000 6717440 6815744 6822400 6922240 6929000 7095296 7552000 7733248 7740800 7854080 7861750 7976800 8050432 8176220 8192000 8388608 8396800 8519680 8528000 8652800 8732672 8869120 9666560 9676000 9817600 9908224 9971000 10063040 10210304 10220275 10485760 10496000 10649600 10747904 10816000 10915840 11075584 11086400 12083200 12272000 12385280 12566528 12578800 12762880 13081952 13107200 13312000 13434880 13631488 13644800 13844480 13858000 14190592 15104000 15466496 15481600 15708160 15723500 15953600 16100864 16352440 16384000 16793600 17039360 17056000 17305600 17465344 17738240 19333120 19352000 19635200 19816448 19942000 20126080 20420608 20440550 20971520 20992000 21299200 21495808 21632000 21831680 22151168 22172800 24166400 24544000 24770560 25133056 25157600 25525760 26163904 26214400 26624000 26869760 27262976 27289600 27688960 27716000 28381184 30208000 30932992 30963200 31416320 31447000 31907200 32201728 32704880 32768000 33587200 34078720 34112000 34611200 34930688 35476480 38666240 38704000 39270400 39632896 39884000 40252160 40841216 40881100 41943040 41984000 42598400 42991616 43264000 43663360 44302336 44345600 48332800 49088000 49541120 50266112 50315200 51051520 51101375 52327808 52428800 53248000 53739520 54525952 54579200 55377920 55432000 56762368 60416000 61865984 61926400 62832640 62894000 63814400 64403456 65409760 65536000 67174400 68157440 68224000 69222400 69861376 70952960 77332480 77408000 78540800 79265792 79768000 80504320 81682432 81762200 83968000 85196800 85983232 86528000 87326720 88604672 88691200 96665600 98176000 99082240 100532224 100630400 102103040 102202750 104655616 104857600 106496000 107479040 109051904 109158400 110755840 110864000 113524736 120832000 123731968 123852800 125665280 125788000 127628800 128806912 130819520 131072000 134348800 136314880 136448000 138444800 139722752 141905920 154664960 154816000 157081600 158531584 159536000 161008640 163364864 163524400 167936000 170393600 171966464 173056000 174653440 177209344 177382400 193331200 196352000 198164480 201064448 201260800 204206080 204405500 209311232 209715200 212992000 214958080 218316800 221511680 221728000 227049472 241664000 247463936 247705600 251330560 251576000 255257600 257613824 261639040 262144000 268697600 272629760 272896000 276889600 279445504 283811840 309329920 309632000 314163200 317063168 319072000 322017280 326729728 327048800 335872000 340787200 343932928 346112000 349306880 354418688 354764800 386662400 392704000 396328960 402128896 402521600 408412160 408811000 418622464 425984000 429916160 436633600 443023360 443456000 454098944 483328000 494927872 495411200 502661120 503152000 510515200 515227648 523278080 524288000 537395200 545259520 545792000 553779200 558891008 567623680 618659840 619264000 628326400 634126336 638144000 644034560 653459456 654097600 671744000 681574400 692224000 698613760 708837376 709529600 773324800 785408000 792657920 804257792 805043200 816824320 817622000 837244928 851968000 859832320 873267200 886046720 886912000 908197888 966656000 990822400 1005322240 1006304000 1021030400 1030455296 1046556160 1048576000 1074790400 1091584000 1107558400 1117782016 1135247360 1237319680 1238528000 1256652800 1268252672 1276288000 1288069120 1306918912 1308195200 1343488000 1363148800 1384448000 1397227520 1417674752 1419059200 1546649600 1570816000 1585315840 1608515584 1610086400 1633648640 1635244000 1674489856 1703936000 1719664640 1746534400 1772093440 1773824000 1816395776 1933312000 1981644800 2010644480 2012608000 2042060800 2060910592 2093112320 2149580800 2183168000 2215116800 2235564032 2270494720 2474639360 2477056000 2513305600 2536505344 2552576000 2576138240 2613837824 2616390400 2686976000 2726297600 2768896000 2794455040 2838118400 3093299200 3141632000 3170631680 3217031168 3220172800 3267297280 3270488000 3348979712 3407872000 3493068800 3544186880 3547648000 3632791552 3866624000 3963289600 4021288960 4025216000 4084121600 4121821184 4186224640 4299161600 4366336000 4430233600 4471128064 4540989440 4954112000 5026611200 5073010688 5105152000 5152276480 5227675648 5232780800 5373952000 5537792000 5588910080 5676236800 6186598400 6283264000 6341263360 6434062336 6440345600 6534594560 6540976000 6697959424 6815744000 6986137600 7088373760 7095296000 7265583104 7733248000 7926579200 8042577920 8050432000 8168243200 8243642368 8372449280 8598323200 8732672000 8860467200 9081978880 9908224000 10053222400 10146021376 10210304000 10304552960 10455351296 10465561600 10747904000 11075584000 11177820160 11352473600 12373196800 12566528000 12682526720 12880691200 13069189120 13081952000 13395918848 13631488000 13972275200 14190592000 14531166208 15466496000 15853158400 16085155840 16100864000 16336486400 16487284736 16744898560 17465344000 17720934400 18163957760 19816448000 20106444800 20292042752 20420608000 20609105920 20910702592 20931123200 21495808000 22151168000 22355640320 22704947200 25133056000 25365053440 25761382400 26138378240 26163904000 26791837696 27944550400 28381184000 29062332416 30932992000 31706316800 32170311680 32201728000 32672972800 32974569472 33489797120 34930688000 35441868800 36327915520 39632896000 40212889600 40841216000 41218211840 41821405184 41862246400 42991616000 44302336000 45409894400 50266112000 50730106880 51522764800 52276756480 52327808000 53583675392 55889100800 56762368000 58124664832 61865984000 63412633600 64403456000 65345945600 65949138944 66979594240 69861376000 72655831040 79265792000 80425779200 81682432000 82436423680 83642810368 83724492800 88604672000 90819788800 100532224000 101460213760 103045529600 104553512960 104655616000 107167350784 111778201600 113524736000 126825267200 128806912000 130691891200 131898277888 133959188480 139722752000 145311662080 158531584000 160851558400 163364864000 164872847360 167448985600 177209344000 181639577600 201064448000 206091059200 209107025920 209311232000 214334701568 227049472000 253650534400 257613824000 261383782400 263796555776 267918376960 279445504000 290623324160 317063168000 326729728000 329745694720 334897971200 363279155200 402128896000 412182118400 418214051840 418622464000 428669403136 454098944000 507301068800 515227648000 522767564800 535836753920 558891008000 634126336000 653459456000 659491389440 669795942400 726558310400 804257792000 824364236800 837244928000 857338806272 908197888000 1030455296000 1045535129600 1071673507840 1268252672000 1306918912000 1318982778880 1339591884800 1453116620800 1648728473600 1674489856000 1714677612544 1816395776000 2060910592000 2091070259200 2143347015680 2536505344000 2613837824000 2679183769600 3297456947200 3348979712000 3429355225088 3632791552000 4121821184000 4286694031360 5227675648000 5358367539200 6594913894400 6697959424000 7265583104000 8243642368000 8573388062720 10455351296000 10716735078400 13395918848000 16487284736000 17146776125440 21433470156800 26791837696000 32974569472000 42866940313600 53583675392000 85733880627200 107167350784000 214334701568000 428669403136000
- Sum of all divisors σ(n): 1206968953226400
- Sum of proper divisors (its aliquot sum) s(n): 778299550090400
- 428669403136000 is an abundant number, because the sum of its proper divisors (778299550090400) is greater than itself. Its abundance is 349630146954400
Bases of 428669403136000
- Binary: 11000010111011111010111111000000000000000000000002
- Hexadecimal: 0x185DF5F800000
- Base-36: 47Y806PLOG
Squares and roots of 428669403136000
- 428669403136000 squared (4286694031360002) is 183757457184974486634496000000
- 428669403136000 cubed (4286694031360003) is 78771199493272087932997409708179456000000000
-
The
square root of 428669403136000 is 20704332.9555916869 -
The
cube root of 428669403136000 is 75400.4889385655
Scales and comparisons
How big is 428669403136000?- 428,669,403,136,000 seconds is equal to 13,630,361 years, 3 weeks, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 428,669,403,136,000 would take you about thirty-four million, seventy-five thousand, nine hundred 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 428669403136000 cubic inches would be around 6283.4 feet tall.
Recreational maths with 428669403136000
- 428669403136000 backwards is 000631304966824
- 428669403136000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428669403136000's digits is 52
- More coming soon!
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The information we have on file for 428669403136000 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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