5137728307200
5,137,728,307,200 is an even composite number composed of six prime numbers multiplied together.
5137728307200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 5137728307200:
215 × 33 × 52 × 31 × 59 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 31 × 59 × 127)See below for interesting mathematical facts about the number 5137728307200 from the Numbermatics database.
Names of 5137728307200
- Cardinal: 5137728307200 can be written as Five trillion, one hundred thirty-seven billion, seven hundred twenty-eight million, three hundred seven thousand, two hundred.
Scientific notation
- Scientific notation: 5.1377283072 × 1012
Factors of 5137728307200
Divisors of 5137728307200
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 59 60 62 64 72 75 80 90 93 96 100 108 118 120 124 127 128 135 144 150 155 160 177 180 186 192 200 216 225 236 240 248 254 256 270 279 288 295 300 310 320 354 360 372 381 384 400 432 450 465 472 480 496 508 512 531 540 558 576 590 600 620 635 640 675 708 720 744 762 768 775 800 837 864 885 900 930 944 960 992 1016 1024 1062 1080 1116 1143 1152 1180 1200 1240 1270 1280 1350 1395 1416 1440 1475 1488 1524 1536 1550 1593 1600 1674 1728 1770 1800 1829 1860 1888 1905 1920 1984 2032 2048 2124 2160 2232 2286 2304 2325 2360 2400 2480 2540 2560 2655 2700 2790 2832 2880 2950 2976 3048 3072 3100 3175 3186 3200 3348 3429 3456 3540 3600 3658 3720 3776 3810 3840 3937 3968 4064 4096 4185 4248 4320 4425 4464 4572 4608 4650 4720 4800 4960 5080 5120 5310 5400 5487 5580 5664 5715 5760 5900 5952 6096 6144 6200 6350 6372 6400 6696 6858 6912 6975 7080 7200 7316 7440 7493 7552 7620 7680 7874 7936 7965 8128 8192 8370 8496 8640 8850 8928 9144 9145 9216 9300 9440 9525 9600 9920 10160 10240 10620 10800 10974 11160 11328 11430 11520 11800 11811 11904 12192 12288 12400 12700 12744 12800 13275 13392 13716 13824 13950 14160 14400 14632 14880 14986 15104 15240 15360 15748 15872 15930 16256 16384 16461 16740 16992 17145 17280 17700 17856 18288 18290 18432 18600 18880 19050 19200 19685 19840 20320 20480 20925 21240 21600 21948 22320 22479 22656 22860 23040 23600 23622 23808 24384 24576 24800 25400 25488 25600 26550 26784 27432 27435 27648 27900 28320 28575 28800 29264 29760 29972 30208 30480 30720 31496 31744 31860 32512 32768 32922 33480 33984 34290 34560 35400 35433 35712 36576 36580 36864 37200 37465 37760 38100 38400 39370 39680 39825 40640 40960 41850 42480 43200 43896 44640 44958 45312 45720 45725 46080 47200 47244 47616 48768 49152 49383 49600 50800 50976 51200 53100 53568 54864 54870 55296 55800 56640 57150 57600 58528 59055 59520 59944 60416 60960 61440 62992 63488 63720 65024 65844 66960 67437 67968 68580 69120 70800 70866 71424 73152 73160 73728 74400 74930 75520 76200 76800 78740 79360 79650 81280 81920 82305 83700 84960 85725 86400 87792 89280 89916 90624 91440 91450 92160 94400 94488 95232 97536 98304 98425 98766 99200 101600 101952 102400 106200 106299 107136 109728 109740 110592 111600 112395 113280 114300 115200 117056 118110 119040 119888 120832 121920 122880 125984 126976 127440 130048 131688 133920 134874 135936 137160 137175 138240 141600 141732 142848 146304 146320 147456 148800 149860 151040 152400 153600 157480 158720 159300 162560 163840 164610 167400 169920 171450 172800 175584 177165 178560 179832 181248 182880 182900 184320 187325 188800 188976 190464 195072 196850 197532 198400 202311 203200 203904 204800 212400 212598 214272 219456 219480 221184 223200 224790 226560 228600 230400 232283 234112 236220 238080 239776 241664 243840 245760 246915 251968 253952 254880 260096 263376 267840 269748 271872 274320 274350 276480 283200 283464 285696 292608 292640 294912 295275 297600 299720 302080 304800 307200 314960 317440 318600 325120 329220 334800 337185 339840 342900 345600 351168 354330 357120 359664 362496 365760 365800 368640 374650 377600 377952 380928 390144 393700 395064 396800 404622 406400 407808 409600 411525 424800 425196 428544 438912 438960 442368 446400 449580 453120 457200 460800 464566 468224 472440 476160 479552 483328 487680 491520 493830 503936 507904 509760 520192 526752 531495 535680 539496 543744 548640 548700 552960 561975 566400 566928 571392 585216 585280 590550 595200 599440 604160 609600 614400 629920 634880 637200 650240 658440 669600 674370 679680 685800 691200 696849 702336 708660 714240 719328 724992 731520 731600 737280 749300 755200 755904 761856 780288 787400 790128 793600 809244 812800 815616 819200 823050 849600 850392 857088 877824 877920 884736 885825 892800 899160 906240 914400 921600 929132 936448 944880 952320 959104 966656 975360 987660 1007872 1011555 1015808 1019520 1040384 1053504 1062990 1071360 1078992 1087488 1097280 1097400 1105920 1123950 1132800 1133856 1142784 1161415 1170432 1170560 1181100 1190400 1198880 1208320 1219200 1228800 1234575 1259840 1269760 1274400 1300480 1316880 1339200 1348740 1359360 1371600 1382400 1393698 1404672 1417320 1428480 1438656 1449984 1463040 1463200 1474560 1498600 1510400 1511808 1523712 1560576 1574800 1580256 1587200 1618488 1625600 1631232 1646100 1685925 1699200 1700784 1714176 1755648 1755840 1771650 1785600 1798320 1812480 1828800 1843200 1858264 1872896 1889760 1904640 1918208 1933312 1950720 1975320 2015744 2023110 2039040 2080768 2090547 2107008 2125980 2142720 2157984 2174976 2194560 2194800 2211840 2247900 2265600 2267712 2285568 2322830 2340864 2341120 2362200 2380800 2397760 2416640 2438400 2457600 2469150 2519680 2539520 2548800 2600960 2633760 2657475 2678400 2697480 2718720 2743200 2764800 2787396 2809344 2834640 2856960 2877312 2899968 2926080 2926400 2997200 3020800 3023616 3047424 3121152 3149600 3160512 3174400 3236976 3251200 3262464 3292200 3371850 3398400 3401568 3428352 3484245 3511296 3511680 3543300 3571200 3596640 3624960 3657600 3686400 3716528 3745792 3779520 3809280 3836416 3901440 3950640 4031488 4046220 4078080 4161536 4181094 4214016 4251960 4285440 4315968 4349952 4389120 4389600 4423680 4495800 4531200 4535424 4571136 4645660 4681728 4682240 4724400 4761600 4795520 4833280 4876800 4938300 5039360 5057775 5079040 5097600 5201920 5267520 5314950 5356800 5394960 5437440 5486400 5529600 5574792 5618688 5669280 5713920 5754624 5799936 5807075 5852160 5852800 5994400 6041600 6047232 6242304 6271641 6299200 6321024 6348800 6473952 6502400 6524928 6584400 6743700 6796800 6803136 6856704 6968490 7022592 7023360 7086600 7142400 7193280 7249920 7315200 7372800 7433056 7491584 7559040 7618560 7672832 7802880 7901280 8062976 8092440 8156160 8362188 8428032 8503920 8570880 8631936 8699904 8778240 8779200 8991600 9062400 9070848 9142272 9291320 9363456 9364480 9448800 9523200 9591040 9666560 9753600 9876600 10078720 10115550 10195200 10403840 10452735 10535040 10629900 10713600 10789920 10874880 10972800 11059200 11149584 11237376 11338560 11427840 11509248 11614150 11704320 11705600 11988800 12083200 12094464 12484608 12543282 12598400 12642048 12697600 12947904 13004800 13049856 13168800 13487400 13593600 13606272 13713408 13936980 14045184 14046720 14173200 14284800 14386560 14499840 14630400 14866112 14983168 15118080 15237120 15345664 15605760 15802560 16125952 16184880 16312320 16724376 16856064 17007840 17141760 17263872 17399808 17421225 17556480 17558400 17983200 18124800 18141696 18582640 18726912 18728960 18897600 19046400 19182080 19507200 19753200 20157440 20231100 20390400 20807680 20905470 21070080 21259800 21427200 21579840 21749760 21945600 22118400 22299168 22474752 22677120 22855680 23018496 23228300 23408640 23411200 23977600 24166400 24188928 25086564 25196800 25284096 25395200 25895808 26009600 26099712 26337600 26974800 27187200 27212544 27426816 27873960 28090368 28093440 28346400 28569600 28773120 28999680 29260800 29732224 29966336 30236160 30691328 31211520 31358205 31605120 32251904 32369760 32624640 33448752 33712128 34015680 34283520 34527744 34842450 35112960 35116800 35966400 36249600 36283392 37165280 37453824 37457920 37795200 38092800 38364160 39014400 39506400 40314880 40462200 40780800 41810940 42140160 42519600 42854400 43159680 43499520 43891200 44598336 44949504 45354240 45711360 46036992 46456600 46817280 46822400 47955200 48332800 48377856 50173128 50393600 50568192 51791616 52019200 52199424 52263675 52675200 53949600 54374400 54425088 55747920 56180736 56186880 56692800 57139200 57546240 58521600 59464448 59932672 60472320 61382656 62423040 62716410 63210240 64503808 64739520 65249280 66897504 67424256 68031360 68567040 69055488 69684900 70225920 70233600 71932800 72499200 72566784 74330560 74915840 75590400 76185600 76728320 78028800 79012800 80629760 80924400 81561600 83621880 84280320 85039200 85708800 86319360 86999040 87782400 89196672 89899008 90708480 92073984 92913200 93634560 93644800 95910400 96755712 100346256 100787200 101136384 103583232 104038400 104527350 105350400 107899200 108748800 108850176 111495840 112361472 112373760 113385600 114278400 115092480 117043200 118928896 120944640 122765312 125432820 126420480 129007616 129479040 130498560 133795008 134848512 136062720 137134080 138110976 139369800 140451840 140467200 143865600 144998400 145133568 148661120 149831680 151180800 153456640 156057600 156791025 158025600 161259520 161848800 163123200 167243760 168560640 170078400 171417600 172638720 175564800 178393344 179798016 181416960 184147968 185826400 187269120 187289600 191820800 193511424 200692512 201574400 202272768 207166464 209054700 210700800 215798400 217497600 217700352 222991680 224747520 226771200 228556800 230184960 234086400 237857792 241889280 245530624 250865640 252840960 258958080 260997120 267590016 269697024 272125440 276221952 278739600 280903680 280934400 287731200 290267136 297322240 299663360 302361600 306913280 312115200 313582050 316051200 322519040 323697600 326246400 334487520 337121280 340156800 342835200 345277440 351129600 356786688 362833920 368295936 371652800 374579200 383641600 387022848 401385024 403148800 404545536 414332928 418109400 421401600 431596800 434995200 435400704 445983360 449495040 453542400 460369920 468172800 475715584 483778560 501731280 505681920 517916160 535180032 539394048 544250880 552443904 557479200 561807360 561868800 575462400 580534272 594644480 604723200 613826560 627164100 632102400 645038080 647395200 652492800 668975040 674242560 680313600 685670400 690554880 702259200 713573376 725667840 736591872 743305600 749158400 767283200 802770048 806297600 809091072 828665856 836218800 842803200 863193600 870801408 891966720 898990080 907084800 920739840 936345600 951431168 967557120 1003462560 1011363840 1035832320 1070360064 1088501760 1104887808 1114958400 1123737600 1150924800 1161068544 1189288960 1209446400 1227653120 1254328200 1264204800 1294790400 1304985600 1337950080 1348485120 1360627200 1381109760 1404518400 1427146752 1451335680 1486611200 1498316800 1534566400 1605540096 1612595200 1618182144 1657331712 1672437600 1685606400 1726387200 1741602816 1783933440 1814169600 1841479680 1902862336 1935114240 2006925120 2022727680 2071664640 2140720128 2177003520 2209775616 2229916800 2247475200 2301849600 2378577920 2418892800 2508656400 2528409600 2589580800 2675900160 2696970240 2721254400 2762219520 2809036800 2854293504 2902671360 2973222400 3069132800 3211080192 3225190400 3314663424 3344875200 3371212800 3452774400 3483205632 3567866880 3628339200 3682959360 3805724672 4013850240 4045455360 4143329280 4281440256 4354007040 4459833600 4494950400 4603699200 4757155840 4837785600 5017312800 5056819200 5179161600 5351800320 5442508800 5524439040 5708587008 5805342720 5946444800 6138265600 6422160384 6629326848 6689750400 6742425600 6905548800 7135733760 7256678400 7611449344 8027700480 8090910720 8286658560 8562880512 8708014080 8919667200 9207398400 9514311680 9675571200 10034625600 10113638400 10358323200 10703600640 10885017600 11048878080 11417174016 11892889600 12844320768 13379500800 13484851200 13811097600 14271467520 14513356800 16055400960 16573317120 17125761024 17416028160 17839334400 18414796800 19028623360 20069251200 20227276800 20716646400 21407201280 21770035200 22834348032 23785779200 25688641536 26759001600 27622195200 28542935040 29026713600 32110801920 33146634240 34251522048 35678668800 38057246720 40138502400 40454553600 41433292800 42814402560 43540070400 47571558400 51377283072 53518003200 55244390400 57085870080 64221603840 68503044096 71357337600 80277004800 82866585600 85628805120 87080140800 95143116800 102754566144 107036006400 114171740160 128443207680 142714675200 160554009600 165733171200 171257610240 190286233600 205509132288 214072012800 256886415360 285429350400 321108019200 342515220480 428144025600 513772830720 570858700800 642216038400 856288051200 1027545661440 1284432076800 1712576102400 2568864153600 5137728307200
- Sum of all divisors σ(n): 19971293184000
- Sum of proper divisors (its aliquot sum) s(n): 14833564876800
- 5137728307200 is an abundant number, because the sum of its proper divisors (14833564876800) is greater than itself. Its abundance is 9695836569600
Bases of 5137728307200
- Binary: 10010101100001110000111100010000000000000002
- Hexadecimal: 0x4AC38788000
- Base-36: 1TK8MS5C0
Squares and roots of 5137728307200
- 5137728307200 squared (51377283072002) is 26396252158604177571840000
- 5137728307200 cubed (51377283072003) is 135616771919249787151017729589248000000
-
The
square root of 5137728307200 is 2266655.7540129467 -
The
cube root of 5137728307200 is 17255.3475624809
Scales and comparisons
How big is 5137728307200?- 5,137,728,307,200 seconds is equal to 163,363 years, 45 weeks, 1 day.
-
To count from 1 to 5,137,728,307,200 would take you about four hundred eight thousand, four hundred nine 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 5137728307200 cubic inches would be around 1437.9 feet tall.
Recreational maths with 5137728307200
- 5137728307200 backwards is 0027038277315
- 5137728307200 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 5137728307200's digits is 45
- More coming soon!
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Numbermatics. (2024). Number 5137728307200 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/5137728307200/
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The information we have on file for 5137728307200 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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