3438728970240000
3,438,728,970,240,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 3438728970240000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1840 divisors.
3438728970240000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred forty divisors.
Prime factorization of 3438728970240000:
222 × 3 × 54 × 173 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 17 × 17 × 17 × 89)See below for interesting mathematical facts about the number 3438728970240000 from the Numbermatics database.
Names of 3438728970240000
- Cardinal: 3438728970240000 can be written as Three quadrillion, four hundred thirty-eight trillion, seven hundred twenty-eight billion, nine hundred seventy million, two hundred forty thousand.
Scientific notation
- Scientific notation: 3.43872897024 × 1015
Factors of 3438728970240000
Divisors of 3438728970240000
- Number of divisors d(n): 1840
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 64 68 75 80 85 89 96 100 102 120 125 128 136 150 160 170 178 192 200 204 240 250 255 256 267 272 289 300 320 340 356 375 384 400 408 425 445 480 500 510 512 534 544 578 600 625 640 680 712 750 768 800 816 850 867 890 960 1000 1020 1024 1068 1088 1156 1200 1250 1275 1280 1335 1360 1424 1445 1500 1513 1536 1600 1632 1700 1734 1780 1875 1920 2000 2040 2048 2125 2136 2176 2225 2312 2400 2500 2550 2560 2670 2720 2848 2890 3000 3026 3072 3200 3264 3400 3468 3560 3750 3840 4000 4080 4096 4250 4272 4335 4352 4450 4539 4624 4800 4913 5000 5100 5120 5340 5440 5696 5780 6000 6052 6144 6375 6400 6528 6675 6800 6936 7120 7225 7500 7565 7680 8000 8160 8192 8500 8544 8670 8704 8900 9078 9248 9600 9826 10000 10200 10240 10625 10680 10880 11125 11392 11560 12000 12104 12288 12750 12800 13056 13350 13600 13872 14240 14450 14739 15000 15130 15360 16000 16320 16384 17000 17088 17340 17408 17800 18156 18496 19200 19652 20000 20400 20480 21250 21360 21675 21760 22250 22695 22784 23120 24000 24208 24565 24576 25500 25600 25721 26112 26700 27200 27744 28480 28900 29478 30000 30260 30720 31875 32000 32640 32768 33375 34000 34176 34680 34816 35600 36125 36312 36992 37825 38400 39304 40000 40800 40960 42500 42720 43350 43520 44500 45390 45568 46240 48000 48416 49130 49152 51000 51200 51442 52224 53400 54400 55488 55625 56960 57800 58956 60000 60520 61440 63750 64000 65280 65536 66750 68000 68352 69360 69632 71200 72250 72624 73695 73984 75650 76800 77163 78608 80000 81600 81920 85000 85440 86700 87040 89000 90780 91136 92480 96000 96832 98260 98304 102000 102400 102884 104448 106800 108375 108800 110976 111250 113475 113920 115600 117912 120000 121040 122825 122880 127500 128000 128605 130560 131072 133500 136000 136704 138720 139264 142400 144500 145248 147390 147968 151300 153600 154326 157216 160000 163200 163840 166875 170000 170880 173400 174080 178000 180625 181560 182272 184960 189125 192000 193664 196520 196608 204000 204800 205768 208896 213600 216750 217600 221952 222500 226950 227840 231200 235824 240000 242080 245650 245760 255000 256000 257210 261120 262144 267000 272000 273408 277440 278528 284800 289000 290496 294780 295936 302600 307200 308652 314432 320000 326400 327680 333750 340000 341760 346800 348160 356000 361250 363120 364544 368475 369920 378250 384000 385815 387328 393040 393216 408000 409600 411536 417792 427200 433500 435200 437257 443904 445000 453900 455680 462400 471648 480000 484160 491300 491520 510000 512000 514420 522240 524288 534000 541875 544000 546816 554880 557056 567375 569600 578000 580992 589560 591872 605200 614125 614400 617304 628864 640000 643025 652800 655360 667500 680000 683520 693600 696320 712000 722500 726240 729088 736950 739840 756500 768000 771630 774656 786080 786432 816000 819200 823072 835584 854400 867000 870400 874514 887808 890000 907800 911360 924800 943296 945625 960000 968320 982600 983040 1020000 1024000 1028840 1044480 1048576 1068000 1083750 1088000 1093632 1109760 1114112 1134750 1139200 1156000 1161984 1179120 1183744 1210400 1228250 1228800 1234608 1257728 1280000 1286050 1305600 1310720 1311771 1335000 1360000 1367040 1387200 1392640 1424000 1445000 1452480 1458176 1473900 1479680 1513000 1536000 1543260 1549312 1572160 1572864 1632000 1638400 1646144 1671168 1708800 1734000 1740800 1749028 1775616 1780000 1815600 1822720 1842375 1849600 1886592 1891250 1920000 1929075 1936640 1965200 1966080 2040000 2048000 2057680 2088960 2097152 2136000 2167500 2176000 2186285 2187264 2219520 2228224 2269500 2278400 2312000 2323968 2358240 2367488 2420800 2456500 2457600 2469216 2515456 2560000 2572100 2611200 2621440 2623542 2670000 2720000 2734080 2774400 2785280 2836875 2848000 2890000 2904960 2916352 2947800 2959360 3026000 3070625 3072000 3086520 3098624 3144320 3145728 3215125 3264000 3276800 3292288 3342336 3417600 3468000 3481600 3498056 3551232 3560000 3631200 3645440 3684750 3699200 3773184 3782500 3840000 3858150 3873280 3930400 3932160 4080000 4096000 4115360 4177920 4194304 4272000 4335000 4352000 4372570 4374528 4439040 4456448 4539000 4556800 4624000 4647936 4716480 4734976 4841600 4913000 4915200 4938432 5030912 5120000 5144200 5222400 5242880 5247084 5340000 5440000 5468160 5548800 5570560 5673750 5696000 5780000 5809920 5832704 5895600 5918720 6052000 6141250 6144000 6173040 6197248 6288640 6291456 6430250 6528000 6553600 6558855 6584576 6684672 6835200 6936000 6963200 6996112 7102464 7120000 7262400 7290880 7369500 7398400 7546368 7565000 7680000 7716300 7746560 7860800 7864320 8160000 8192000 8230720 8355840 8544000 8670000 8704000 8745140 8749056 8878080 8912896 9078000 9113600 9211875 9248000 9295872 9432960 9469952 9645375 9683200 9826000 9830400 9876864 10061824 10240000 10288400 10444800 10485760 10494168 10680000 10880000 10931425 10936320 11097600 11141120 11347500 11392000 11560000 11619840 11665408 11791200 11837440 12104000 12282500 12288000 12346080 12394496 12577280 12582912 12860500 13056000 13107200 13117710 13169152 13369344 13670400 13872000 13926400 13992224 14204928 14240000 14524800 14581760 14739000 14796800 15092736 15130000 15360000 15432600 15493120 15721600 15728640 16075625 16320000 16384000 16461440 16711680 17088000 17340000 17408000 17490280 17498112 17756160 17825792 18156000 18227200 18423750 18496000 18591744 18865920 18939904 19290750 19366400 19652000 19660800 19753728 20123648 20480000 20576800 20889600 20971520 20988336 21360000 21760000 21862850 21872640 22195200 22282240 22695000 22784000 23120000 23239680 23330816 23582400 23674880 24208000 24565000 24576000 24692160 24788992 25154560 25721000 26112000 26214400 26235420 26338304 26738688 27340800 27744000 27852800 27984448 28409856 28480000 29049600 29163520 29478000 29593600 30185472 30260000 30720000 30865200 30986240 31443200 31457280 32151250 32640000 32768000 32794275 32922880 33423360 34176000 34680000 34816000 34980560 34996224 35512320 35651584 36312000 36454400 36847500 36992000 37183488 37731840 37879808 38581500 38732800 39304000 39321600 39507456 40247296 40960000 41153600 41779200 41976672 42720000 43520000 43725700 43745280 44390400 44564480 45390000 45568000 46240000 46479360 46661632 47164800 47349760 48226875 48416000 49130000 49152000 49384320 49577984 50309120 51442000 52224000 52428800 52470840 52676608 53477376 54657125 54681600 55488000 55705600 55968896 56819712 56960000 58099200 58327040 58956000 59187200 60370944 60520000 61440000 61730400 61972480 62886400 62914560 64302500 65280000 65536000 65588550 65845760 66846720 68352000 69360000 69632000 69961120 69992448 71024640 71303168 72624000 72908800 73695000 73984000 74366976 75463680 75759616 77163000 77465600 78608000 78643200 79014912 80494592 81920000 82307200 83558400 83953344 85440000 87040000 87451400 87490560 88780800 89128960 90780000 91136000 92480000 92958720 93323264 94329600 94699520 96453750 96832000 98260000 98304000 98768640 99155968 100618240 102884000 104448000 104857600 104941680 105353216 106954752 109314250 109363200 110976000 111411200 111937792 113639424 113920000 116198400 116654080 117912000 118374400 120741888 121040000 122880000 123460800 123944960 125772800 128605000 130560000 131072000 131177100 131691520 133693440 136704000 138720000 139264000 139922240 139984896 142049280 145248000 145817600 147390000 147968000 148733952 150927360 151519232 154326000 154931200 157216000 157286400 158029824 160989184 163840000 163971375 164614400 167116800 167906688 170880000 174080000 174902800 174981120 177561600 178257920 181560000 182272000 184960000 185917440 186646528 188659200 189399040 192907500 193664000 196520000 196608000 197537280 198311936 201236480 205768000 208896000 209883360 210706432 213909504 218628500 218726400 221952000 222822400 223875584 227278848 227840000 232396800 233308160 235824000 236748800 241483776 242080000 245760000 246921600 247889920 251545600 257210000 261120000 262144000 262354200 263383040 267386880 273285625 273408000 277440000 278528000 279844480 279969792 284098560 290496000 291635200 294780000 295936000 297467904 301854720 303038464 308652000 309862400 314432000 314572800 316059648 321978368 327680000 327942750 329228800 334233600 335813376 341760000 348160000 349805600 349962240 355123200 356515840 363120000 364544000 369920000 371834880 373293056 377318400 378798080 385815000 387328000 393040000 393216000 395074560 396623872 402472960 411536000 417792000 419766720 421412864 437257000 437452800 443904000 445644800 447751168 454557696 455680000 464793600 466616320 471648000 473497600 482967552 484160000 491520000 493843200 495779840 503091200 514420000 522240000 524288000 524708400 526766080 534773760 546571250 546816000 554880000 557056000 559688960 559939584 568197120 580992000 583270400 589560000 591872000 594935808 603709440 606076928 617304000 619724800 628864000 632119296 643956736 655360000 655885500 658457600 668467200 671626752 683520000 696320000 699611200 699924480 710246400 726240000 729088000 739840000 743669760 754636800 757596160 771630000 774656000 786080000 786432000 790149120 793247744 804945920 819856875 823072000 835584000 839533440 842825728 874514000 874905600 887808000 891289600 895502336 909115392 911360000 929587200 933232640 943296000 946995200 965935104 968320000 983040000 987686400 991559680 1006182400 1028840000 1044480000 1049416800 1053532160 1069547520 1093142500 1093632000 1109760000 1114112000 1119377920 1119879168 1136394240 1161984000 1166540800 1179120000 1183744000 1189871616 1207418880 1212153856 1234608000 1239449600 1257728000 1264238592 1287913472 1310720000 1311771000 1316915200 1336934400 1343253504 1367040000 1392640000 1399222400 1399848960 1420492800 1452480000 1458176000 1479680000 1487339520 1509273600 1515192320 1543260000 1549312000 1572160000 1572864000 1580298240 1586495488 1609891840 1639713750 1646144000 1671168000 1679066880 1685651456 1749028000 1749811200 1775616000 1782579200 1791004672 1818230784 1822720000 1859174400 1866465280 1886592000 1893990400 1931870208 1936640000 1966080000 1975372800 1983119360 2012364800 2057680000 2088960000 2098833600 2107064320 2186285000 2187264000 2219520000 2228224000 2238755840 2272788480 2323968000 2333081600 2358240000 2367488000 2379743232 2414837760 2469216000 2478899200 2515456000 2528477184 2575826944 2621440000 2623542000 2633830400 2673868800 2686507008 2734080000 2785280000 2798444800 2799697920 2840985600 2904960000 2916352000 2959360000 2974679040 3018547200 3030384640 3086520000 3098624000 3144320000 3160596480 3172990976 3219783680 3279427500 3292288000 3342336000 3358133760 3371302912 3498056000 3499622400 3551232000 3582009344 3636461568 3645440000 3718348800 3773184000 3787980800 3863740416 3873280000 3932160000 3950745600 3966238720 4024729600 4115360000 4177920000 4197667200 4214128640 4372570000 4374528000 4439040000 4456448000 4477511680 4545576960 4647936000 4666163200 4716480000 4734976000 4759486464 4829675520 4938432000 4957798400 5030912000 5056954368 5151653888 5247084000 5267660800 5347737600 5373014016 5468160000 5570560000 5596889600 5599395840 5681971200 5809920000 5832704000 5918720000 5949358080 6037094400 6060769280 6173040000 6197248000 6288640000 6321192960 6345981952 6439567360 6558855000 6584576000 6684672000 6716267520 6742605824 6996112000 6999244800 7102464000 7164018688 7290880000 7436697600 7546368000 7575961600 7727480832 7746560000 7864320000 7901491200 7932477440 8049459200 8230720000 8355840000 8395334400 8428257280 8745140000 8749056000 8878080000 8912896000 8955023360 9091153920 9295872000 9332326400 9432960000 9469952000 9518972928 9659351040 9876864000 9915596800 10061824000 10113908736 10303307776 10494168000 10535321600 10746028032 10936320000 11141120000 11193779200 11363942400 11619840000 11665408000 11837440000 11898716160 12074188800 12346080000 12394496000 12577280000 12642385920 12879134720 13117710000 13169152000 13369344000 13432535040 13485211648 13992224000 13998489600 14204928000 14328037376 14581760000 14873395200 15092736000 15151923200 15454961664 15493120000 15802982400 15864954880 16098918400 16461440000 16711680000 16790668800 16856514560 17490280000 17498112000 17756160000 17910046720 18182307840 18591744000 18865920000 18939904000 19037945856 19318702080 19753728000 19831193600 20123648000 20227817472 20606615552 20988336000 21070643200 21492056064 21872640000 22282240000 22387558400 22727884800 23239680000 23330816000 23674880000 23797432320 24148377600 24692160000 24788992000 25154560000 25284771840 25758269440 26235420000 26338304000 26738688000 26865070080 26970423296 27984448000 27996979200 28409856000 28656074752 29163520000 29746790400 30185472000 30303846400 30909923328 30986240000 31605964800 31729909760 32197836800 32922880000 33423360000 33581337600 33713029120 34980560000 34996224000 35512320000 35820093440 37183488000 37731840000 37879808000 38637404160 39507456000 39662387200 40247296000 40455634944 41976672000 42141286400 42984112128 43745280000 44564480000 44775116800 45455769600 46479360000 46661632000 47349760000 47594864640 48296755200 49384320000 49577984000 50309120000 50569543680 51516538880 52470840000 52676608000 53730140160 53940846592 55968896000 56819712000 57312149504 58327040000 59493580800 60370944000 61819846656 61972480000 63211929600 64395673600 65845760000 66846720000 67162675200 67426058240 69961120000 69992448000 71024640000 71640186880 74366976000 75463680000 75759616000 77274808320 79014912000 79324774400 80494592000 80911269888 83953344000 84282572800 85968224256 87490560000 89550233600 90911539200 92958720000 94699520000 95189729280 96593510400 98768640000 99155968000 100618240000 101139087360 103033077760 104941680000 105353216000 107460280320 107881693184 111937792000 113639424000 114624299008 116654080000 118987161600 120741888000 123944960000 126423859200 128791347200 131691520000 133693440000 134325350400 134852116480 139922240000 139984896000 142049280000 143280373760 148733952000 150927360000 151519232000 154549616640 158029824000 158649548800 160989184000 161822539776 167906688000 168565145600 171936448512 174981120000 179100467200 185917440000 189399040000 193187020800 197537280000 198311936000 201236480000 202278174720 209883360000 210706432000 214920560640 223875584000 227278848000 229248598016 233308160000 237974323200 241483776000 247889920000 252847718400 257582694400 263383040000 268650700800 269704232960 279844480000 284098560000 286560747520 297467904000 301854720000 309099233280 316059648000 321978368000 323645079552 335813376000 337130291200 343872897024 349962240000 358200934400 371834880000 378798080000 386374041600 395074560000 396623872000 402472960000 404556349440 419766720000 421412864000 429841121280 447751168000 454557696000 458497196032 475948646400 482967552000 495779840000 505695436800 515165388800 526766080000 537301401600 539408465920 559688960000 568197120000 573121495040 594935808000 603709440000 632119296000 643956736000 671626752000 674260582400 687745794048 699924480000 716401868800 743669760000 757596160000 772748083200 790149120000 793247744000 804945920000 809112698880 839533440000 842825728000 859682242560 895502336000 916994392064 965935104000 991559680000 1011390873600 1053532160000 1074602803200 1119377920000 1136394240000 1146242990080 1189871616000 1207418880000 1264238592000 1287913472000 1343253504000 1348521164800 1375491588096 1432803737600 1487339520000 1545496166400 1580298240000 1609891840000 1618225397760 1679066880000 1685651456000 1719364485120 1791004672000 1833988784128 1931870208000 1983119360000 2022781747200 2107064320000 2149205606400 2238755840000 2272788480000 2292485980160 2379743232000 2414837760000 2528477184000 2575826944000 2686507008000 2697042329600 2750983176192 2865607475200 2974679040000 3160596480000 3219783680000 3358133760000 3371302912000 3438728970240 3582009344000 3863740416000 3966238720000 4045563494400 4214128640000 4298411212800 4477511680000 4584971960320 4829675520000 5056954368000 5373014016000 5501966352384 5731214950400 5949358080000 6321192960000 6439567360000 6716267520000 6742605824000 6877457940480 7164018688000 7727480832000 8091126988800 8428257280000 8596822425600 8955023360000 9169943920640 9659351040000 10113908736000 10746028032000 11462429900800 11898716160000 12642385920000 12879134720000 13432535040000 13485211648000 13754915880960 14328037376000 16856514560000 17193644851200 17910046720000 19318702080000 20227817472000 21492056064000 22924859801600 25284771840000 26865070080000 27509831761920 28656074752000 33713029120000 34387289702400 35820093440000 38637404160000 40455634944000 42984112128000 45849719603200 50569543680000 53730140160000 57312149504000 67426058240000 68774579404800 71640186880000 85968224256000 101139087360000 107460280320000 114624299008000 137549158809600 143280373760000 171936448512000 202278174720000 214920560640000 229248598016000 286560747520000 343872897024000 429841121280000 573121495040000 687745794048000 859682242560000 1146242990080000 1719364485120000 3438728970240000
- Sum of all divisors σ(n): 12311582684306400
- Sum of proper divisors (its aliquot sum) s(n): 8872853714066400
- 3438728970240000 is an abundant number, because the sum of its proper divisors (8872853714066400) is greater than itself. Its abundance is 5434124743826400
Bases of 3438728970240000
- Binary: 11000011011110000001011110101100000000000000000000002
- Hexadecimal: 0xC37817AC00000
- Base-36: XUXEA3J2TC
Squares and roots of 3438728970240000
- 3438728970240000 squared (34387289702400002) is 11824856930767850805657600000000
- 3438728970240000 cubed (34387289702400003) is 40662478096774658573436913214029824000000000000
-
The
square root of 3438728970240000 is 58640676.7546214463 -
The
cube root of 3438728970240000 is 150938.2518787659
Scales and comparisons
How big is 3438728970240000?- 3,438,728,970,240,000 seconds is equal to 109,340,944 years, 29 weeks, 3 days, 5 hours, 20 minutes.
-
To count from 1 to 3,438,728,970,240,000 would take you about three hundred twenty-eight million, twenty-two thousand, eight hundred thirty-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 3438728970240000 cubic inches would be around 12578.2 feet tall.
Recreational maths with 3438728970240000
- 3438728970240000 backwards is 0000420798278343
- The number of decimal digits it has is: 16
- The sum of 3438728970240000's digits is 57
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 3438728970240000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 3438728970240000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/3438728970240000/
Chicago style:
Numbermatics. 2024. "Number 3438728970240000 - Facts about the integer". https://numbermatics.com/n/3438728970240000/
The information we have on file for 3438728970240000 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!
Keywords: Divisors of 3438728970240000, math, Factors of 3438728970240000, curriculum, school, college, exams, university, Prime factorization of 3438728970240000, STEM, science, technology, engineering, physics, economics, calculator, three quadrillion, four hundred thirty-eight trillion, seven hundred twenty-eight billion, nine hundred seventy million, two hundred forty thousand.