428720603172992000
428,720,603,172,992,000 is an even composite number composed of seven prime numbers multiplied together.
428720603172992000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 428720603172992000:
210 × 53 × 13 × 17 × 137 × 211 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 17 × 137 × 211 × 524287)See below for interesting mathematical facts about the number 428720603172992000 from the Numbermatics database.
Names of 428720603172992000
- Cardinal: 428720603172992000 can be written as Four hundred twenty-eight quadrillion, seven hundred twenty trillion, six hundred three billion, one hundred seventy-two million, nine hundred ninety-two thousand.
Scientific notation
- Scientific notation: 4.28720603172992 × 1017
Factors of 428720603172992000
Divisors of 428720603172992000
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 64 65 68 80 85 100 104 125 128 130 136 137 160 170 200 208 211 221 250 256 260 272 274 320 325 340 400 416 422 425 442 500 512 520 544 548 640 650 680 685 800 832 844 850 884 1000 1024 1040 1055 1088 1096 1105 1280 1300 1360 1370 1600 1625 1664 1688 1700 1768 1781 2000 2080 2110 2125 2176 2192 2210 2329 2560 2600 2720 2740 2743 3200 3250 3328 3376 3400 3425 3536 3562 3587 4000 4160 4220 4250 4352 4384 4420 4658 5120 5200 5275 5440 5480 5486 5525 6400 6500 6656 6752 6800 6850 7072 7124 7174 8000 8320 8440 8500 8704 8768 8840 8905 9316 10400 10550 10880 10960 10972 11050 11645 12800 13000 13312 13504 13600 13700 13715 14144 14248 14348 16000 16640 16880 17000 17125 17408 17536 17680 17810 17935 18632 20800 21100 21760 21920 21944 22100 23290 25600 26000 26375 27008 27200 27400 27430 27625 28288 28496 28696 28907 30277 32000 33280 33760 34000 34250 35072 35360 35620 35870 37264 41600 42200 43520 43840 43888 44200 44525 46580 46631 52000 52750 54016 54400 54800 54860 55250 56576 56992 57392 57814 58225 60554 64000 66560 67520 68000 68500 68575 70144 70720 71240 71740 74528 83200 84400 87040 87680 87776 88400 89050 89675 93160 93262 104000 105500 108032 108800 109600 109720 110500 113152 113984 114784 115628 116450 121108 128000 135040 136000 137000 137150 140288 141440 142480 143480 144535 149056 151385 166400 168800 175360 175552 176800 178100 179350 186320 186524 208000 211000 216064 217600 219200 219440 221000 222625 226304 227968 229568 231256 232900 233155 242216 270080 272000 274000 274300 282880 284960 286960 289070 291125 298112 302770 332800 337600 342875 350720 351104 353600 356200 358700 372640 373048 375791 416000 422000 435200 438400 438880 442000 445250 448375 455936 459136 462512 465800 466310 484432 491419 524287 540160 544000 548000 548600 565760 569920 573920 578140 582250 596224 605540 675200 685750 701440 702208 707200 712400 717400 722675 745280 746096 751582 756925 832000 844000 876800 877760 884000 890500 896750 911872 918272 925024 931600 932620 968864 982838 1048574 1080320 1088000 1096000 1097200 1131520 1139840 1147840 1156280 1164500 1165775 1192448 1211080 1350400 1371500 1404416 1414400 1424800 1434800 1445350 1490560 1492192 1503164 1513850 1664000 1688000 1753600 1755520 1768000 1781000 1793500 1823744 1836544 1850048 1863200 1865240 1878955 1937728 1965676 2097148 2176000 2192000 2194400 2279680 2295680 2312560 2329000 2331550 2384896 2422160 2457095 2621435 2700800 2743000 2808832 2828800 2849600 2869600 2890700 2981120 2984384 3006328 3027700 3376000 3507200 3511040 3536000 3562000 3587000 3613375 3673088 3700096 3726400 3730480 3757910 3784625 3875456 3931352 4194296 4384000 4388800 4559360 4591360 4625120 4658000 4663100 4844320 4914190 5242870 5401600 5486000 5657600 5699200 5739200 5781400 5828875 5962240 5968768 6012656 6055400 6388447 6752000 6815731 7022080 7072000 7124000 7174000 7226750 7400192 7452800 7460960 7515820 7569250 7750912 7862704 8388592 8768000 8777600 8912879 9118720 9182720 9250240 9316000 9326200 9394775 9688640 9828380 10485740 10972000 11398400 11478400 11562800 11657750 11924480 11937536 12025312 12110800 12285475 12776894 13107175 13504000 13631462 14044160 14144000 14248000 14348000 14453500 14800384 14905600 14921920 15031640 15138500 15501824 15725408 16777184 17536000 17555200 17825758 18365440 18500480 18632000 18652400 18789550 19377280 19656760 20971480 21944000 22796800 22956800 23125600 23315500 23875072 24050624 24221600 24570950 25553788 26214350 27008000 27262924 28288000 28496000 28696000 28907000 29600768 29811200 29843840 30063280 30277000 31003648 31450816 31942235 33554368 34078655 35110400 35651516 37000960 37264000 37304800 37579100 38754560 39313520 41942960 43888000 44564395 45593600 45913600 46251200 46631000 46973875 47750144 48101248 48443200 49141900 51107576 52428700 54525848 56992000 57392000 57814000 59622400 59687680 60126560 60554000 61427375 62901632 63884470 65535875 67108736 68157310 70220800 71303032 71827319 74001920 74528000 74609600 75158200 77509120 78627040 83885920 87776000 89128790 91827200 92502400 93262000 93947750 96202496 96886400 98283800 102215152 104857400 109051696 110624557 113984000 114784000 115628000 115867427 119375360 120253120 121108000 122854750 125803264 127768940 131071750 134217472 136314620 142606064 143654638 148003840 149056000 149219200 150316400 155018240 157254080 159711175 167771840 170393275 175552000 178257580 185004800 186524000 187895500 192404992 193772800 196567600 204430304 209714800 218103392 221249114 222821975 227968000 229568000 231256000 231734854 238750720 240506240 242216000 245709500 251606528 255537880 262143500 268434944 272629240 285212128 287309276 298112000 298438400 300632800 314508160 319422350 335543680 340786550 351104000 356515160 359136595 370009600 373048000 375791000 384809984 387545600 393135200 408860608 419429600 436206784 442498228 445643950 459136000 462512000 463469708 481012480 484432000 491419000 503213056 511075760 524287000 536869888 545258480 553122785 570424256 574618552 579337135 596876800 601265600 629016320 638844700 671087360 681573100 713030320 718273190 740019200 746096000 751582000 775091200 786270400 798555875 817721216 838859200 851966375 872413568 884996456 891287900 925024000 926939416 933755147 962024960 968864000 982838000 1022151520 1048574000 1090516960 1106245570 1114109875 1140848512 1149237104 1158674270 1193753600 1202531200 1221064423 1258032640 1277689400 1342174720 1363146200 1426060640 1436546380 1438119241 1492192000 1503164000 1572540800 1597111750 1635442432 1677718400 1703932750 1744827136 1769992912 1782575800 1795682975 1850048000 1853878832 1867510294 1880617469 1924049920 1937728000 1965676000 2044303040 2097148000 2181033920 2212491140 2228219750 2281697024 2298474208 2317348540 2405062400 2442128846 2516065280 2555378800 2684349440 2726292400 2765613925 2852121280 2873092760 2876238482 2896685675 2984384000 3006328000 3145081600 3194223500 3270884864 3355436800 3407865500 3489654272 3539985824 3565151600 3591365950 3700096000 3707757664 3735020588 3761234938 3875456000 3931352000 4088606080 4194296000 4362067840 4424982280 4456439500 4563394048 4596948416 4634697080 4668775735 4810124800 4884257692 5110757600 5452584800 5531227850 5704242560 5746185520 5752476964 5793371350 5968768000 6012656000 6105322115 6290163200 6388447000 6541769728 6710873600 6815731000 6979308544 7079971648 7130303200 7182731900 7190596205 7415515328 7470041176 7522469876 7862704000 8177212160 8388592000 8724135680 8849964560 8912879000 8978414875 9126788096 9193896832 9269394160 9337551470 9403087345 9620249600 9768515384 10221515200 10905169600 11062455700 11408485120 11492371040 11504953928 11586742700 12025312000 12210644230 12580326400 12776894000 13421747200 13631462000 13828069625 14159943296 14260606400 14365463800 14381192410 14483428375 14831030656 14940082352 15044939752 15155564309 15725408000 15873837499 16354424320 16777184000 17448271360 17699929120 17825758000 17956829750 18387793664 18538788320 18675102940 18806174690 19537030768 20443030400 21810339200 22124911400 22816970240 22984742080 23009907856 23173485400 23343878675 24050624000 24421288460 24448027097 25553788000 27262924000 27656139250 28319886592 28521212800 28730927600 28762384820 28966856750 29662061312 29880164704 30089879504 30311128618 30526610575 31450816000 31747674998 32708848640 33554368000 34896542720 35399858240 35651516000 35913659500 35952981025 36775587328 37077576640 37350205880 37612349380 39074061536 40886060800 43620678400 44249822800 45633940480 45969484160 46019815712 46346970800 46687757350 47015436725 48101248000 48842576920 48896054194 51107576000 54525848000 55312278500 56639773184 57042425600 57461855200 57524769640 57933713500 59324122624 59760329408 60179759008 60622257236 61053221150 62901632000 63495349996 67108736000 70799716480 71303032000 71827319000 71905962050 73551174656 74155153280 74700411760 75224698760 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317476749980 353998582400 359529810250 367755873280 368158525696 370775766400 373502058800 376123493800 378889107725 390740615360 391168433552 394044672034 396845937475 408860608000 436206784000 442498228000 459694841600 460198157120 463469708000 466877573500 470154367250 478082635264 481438072064 484978057888 488425769200 488960541940 507962799968 515289186506 566397731840 570424256000 574618552000 575247696400 593241226240 597603294080 601797590080 606222572360 610532211500 611200677425 625184984576 634953499960 707997164800 719059620500 736317051392 741551532800 747004117600 752246987600 757778215450 781481230720 782336867104 788089344068 793691874950 817721216000 872413568000 884996456000 919389683200 920396314240 926939416000 933755147000 940308734500 956165270528 962876144128 969956115776 976851538400 977921083880 985111680085 1015925599936 1030578373012 1140848512000 1149237104000 1150495392800 1195206588160 1203595180160 1212445144720 1221064423000 1222401354850 1250369969152 1269906999920 1288222966265 1415994329600 1438119241000 1472634102784 1483103065600 1494008235200 1504493975200 1515556430900 1562962461440 1564673734208 1576178688136 1587383749900 1769992912000 1838779366400 1840792628480 1853878832000 1867510294000 1880617469000 1894445538625 1925752288256 1939912231552 1953703076800 1955842167760 1970223360170 1984229687375 2031851199872 2061156746024 2298474208000 2300990785600 2390413176320 2407190360320 2424890289440 2442128846000 2444802709700 2539813999840 2576445932530 2831988659200 2876238482000 2966206131200 2988016470400 3008987950400 3031112861800 3056003387125 3125924922880 3129347468416 3152357376272 3174767499800 3349379712289 3539985824000 3681585256960 3707757664000 3735020588000 3761234938000 3788891077250 3879824463104 3907406153600 3911684335520 3940446720340 3968459374750 4063702399744 4122313492048 4596948416000 4601981571200 4780826352640 4814380720640 4849780578880 4884257692000 4889605419400 4925558400425 5079627999680 5152891865060 5752476964000 5976032940800 6017975900800 6062225723600 6112006774250 6251849845760 6258694936832 6304714752544 6349534999600 6441114831325 6698759424578 7079971648000 7363170513920 7415515328000 7470041176000 7522469876000 7577782154500 7759648926208 7814812307200 7823368671040 7880893440680 7936918749500 8127404799488 8244626984096 9193896832000 9203963142400 9628761441280 9699561157760 9768515384000 9779210838800 9851116800850 10159255999360 10305783730120 11504953928000 11952065881600 12035951801600 12124451447200 12224013548500 12517389873664 12609429505088 12699069999200 12882229662650 13397518849156 14159943296000 14831030656000 14940082352000 15044939752000 15155564309000 15519297852416 15629624614400 15646737342080 15761786881360 15873837499000 16254809598976 16489253968192 16746898561445 18407926284800 19399122315520 19537030768000 19558421677600 19702233601700 20318511998720 20611567460240 23009907856000 23904131763200 24071903603200 24248902894400 24448027097000 24627792002125 25034779747328 25218859010176 25398139998400 25764459325300 26795037698312 29880164704000 30089879504000 30311128618000 31259249228800 31293474684160 31523573762720 31747674998000 32205574156625 32978507936384 33493797122890 36815852569600 38798244631040 39074061536000 39116843355200 39404467203400 40637023997440 41223134920480 46019815712000 48143807206400 48497805788800 48896054194000 49255584004250 50437718020352 50796279996800 51528918650600 53590075396624 59760329408000 60179759008000 60622257236000 62586949368320 63047147525440 63495349996000 64411148313250 65957015872768 66987594245780 77596489262080 78148123072000 78233686710400 78808934406800 81274047994880 82446269840960 83734492807225 92039631424000 96995611577600 97792108388000 98511168008500 100875436040704 101592559993600 103057837301200 107180150793248 119520658816000 120359518016000 121244514472000 125173898736640 126094295050880 126990699992000 128822296626500 131914031745536 133975188491560 156296246144000 156467373420800 157617868813600 164892539681920 167468985614450 184079262848000 193991223155200 195584216776000 197022336017000 201750872081408 203185119987200 206115674602400 214360301586496 240719036032000 242489028944000 252188590101760 253981399984000 257644593253000 263828063491072 267950376983120 312934746841600 315235737627200 329785079363840 334937971228900 387982446310400 391168433552000 394044672034000 406370239974400 412231349204800 418672464036125 428720603172992 484978057888000 504377180203520 507962799968000 515289186506000 535900753966240 625869493683200 630471475254400 659570158727680 669875942457800 782336867104000 788089344068000 824462698409600 837344928072250 857441206345984 969956115776000 1008754360407040 1015925599936000 1030578373012000 1071801507932480 1260942950508800 1319140317455360 1339751884915600 1564673734208000 1576178688136000 1648925396819200 1674689856144500 1714882412691968 1939912231552000 2031851199872000 2061156746024000 2143603015864960 2521885901017600 2679503769831200 3129347468416000 3152357376272000 3297850793638400 3349379712289000 3429764825383936 4122313492048000 4287206031729920 5043771802035200 5359007539662400 6304714752544000 6595701587276800 6698759424578000 8244626984096000 8574412063459840 10718015079324800 12609429505088000 13397518849156000 16489253968192000 17148824126919680 21436030158649600 25218859010176000 26795037698312000 32978507936384000 42872060317299200 53590075396624000 85744120634598400 107180150793248000 214360301586496000 428720603172992000
- Sum of all divisors σ(n): 1234320229392187392
- Sum of proper divisors (its aliquot sum) s(n): 805599626219195392
- 428720603172992000 is an abundant number, because the sum of its proper divisors (805599626219195392) is greater than itself. Its abundance is 376879023046203392
Bases of 428720603172992000
- Binary: 101111100110001111100011101111111000000010001110100000000002
- Hexadecimal: 0x5F31F1DFC047400
- Base-36: 399CRQ5F91Q8
Squares and roots of 428720603172992000
- 428720603172992000 squared (4287206031729920002) is 183801355585014078138278232064000000
- 428720603172992000 cubed (4287206031729920003) is 78799428030420817448294516437549042513215488000000000
-
The
square root of 428720603172992000 is 654767594.7792407357 -
The
cube root of 428720603172992000 is 754034.9074998923
Scales and comparisons
How big is 428720603172992000?- 428,720,603,172,992,000 seconds is equal to 13,631,989,061 years, 1 day, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 428,720,603,172,992,000 would take you about forty billion, eight hundred ninety-five million, nine hundred sixty-seven thousand, one hundred eighty-three 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 428720603172992000 cubic inches would be around 62836.2 feet tall.
Recreational maths with 428720603172992000
- 428720603172992000 backwards is 000299271306027824
- The number of decimal digits it has is: 18
- The sum of 428720603172992000's digits is 62
- More coming soon!
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"Number 428720603172992000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 428720603172992000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/428720603172992000/
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The information we have on file for 428720603172992000 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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