138226458624000
138,226,458,624,000 is an even composite number composed of six prime numbers multiplied together.
138226458624000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty-eight divisors.
Prime factorization of 138226458624000:
216 × 3 × 53 × 67 × 127 × 661
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 67 × 127 × 661)See below for interesting mathematical facts about the number 138226458624000 from the Numbermatics database.
Names of 138226458624000
- Cardinal: 138226458624000 can be written as One hundred thirty-eight trillion, two hundred twenty-six billion, four hundred fifty-eight million, six hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.38226458624 × 1014
Factors of 138226458624000
Divisors of 138226458624000
- Number of divisors d(n): 1088
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 67 75 80 96 100 120 125 127 128 134 150 160 192 200 201 240 250 254 256 268 300 320 335 375 381 384 400 402 480 500 508 512 536 600 635 640 661 670 750 762 768 800 804 960 1000 1005 1016 1024 1072 1200 1270 1280 1322 1340 1500 1524 1536 1600 1608 1675 1905 1920 1983 2000 2010 2032 2048 2144 2400 2540 2560 2644 2680 3000 3048 3072 3175 3200 3216 3305 3350 3810 3840 3966 4000 4020 4064 4096 4288 4800 5025 5080 5120 5288 5360 6000 6096 6144 6350 6400 6432 6610 6700 7620 7680 7932 8000 8040 8128 8192 8375 8509 8576 9525 9600 9915 10050 10160 10240 10576 10720 12000 12192 12288 12700 12800 12864 13220 13400 15240 15360 15864 15875 16000 16080 16256 16384 16525 16750 17018 17152 19050 19200 19830 20100 20320 20480 21152 21440 24000 24384 24576 25125 25400 25527 25600 25728 26440 26800 30480 30720 31728 31750 32000 32160 32512 32768 33050 33500 34036 34304 38100 38400 39660 40200 40640 40960 42304 42545 42880 44287 47625 48000 48768 49152 49575 50250 50800 51054 51200 51456 52880 53600 60960 61440 63456 63500 64000 64320 65024 65536 66100 67000 68072 68608 76200 76800 79320 80400 81280 81920 82625 83947 84608 85090 85760 88574 95250 96000 97536 98304 99150 100500 101600 102108 102400 102912 105760 107200 121920 122880 126912 127000 127635 128000 128640 130048 132200 132861 134000 136144 137216 152400 153600 158640 160800 162560 163840 165250 167894 169216 170180 171520 177148 190500 192000 195072 196608 198300 201000 203200 204216 204800 205824 211520 212725 214400 221435 243840 245760 247875 251841 253824 254000 255270 256000 257280 260096 264400 265722 268000 272288 274432 304800 307200 317280 321600 325120 327680 330500 335788 338432 340360 343040 354296 381000 384000 390144 396600 402000 406400 408432 409600 411648 419735 423040 425450 428800 442870 487680 491520 495750 503682 507648 508000 510540 512000 514560 520192 528800 531444 536000 544576 548864 609600 614400 634560 638175 643200 650240 661000 664305 671576 676864 680720 686080 708592 762000 768000 780288 793200 804000 812800 816864 819200 823296 839470 846080 850900 857600 885740 975360 983040 991500 1007364 1015296 1016000 1021080 1024000 1029120 1040384 1057600 1062888 1063625 1072000 1089152 1097728 1107175 1219200 1228800 1259205 1269120 1276350 1286400 1300480 1322000 1328610 1343152 1353728 1361440 1372160 1417184 1524000 1536000 1560576 1586400 1608000 1625600 1633728 1638400 1646592 1678940 1692160 1701800 1715200 1771480 1950720 1983000 2014728 2030592 2032000 2042160 2048000 2058240 2080768 2098675 2115200 2125776 2127250 2144000 2178304 2195456 2214350 2438400 2457600 2518410 2538240 2552700 2572800 2600960 2644000 2657220 2686304 2707456 2722880 2744320 2834368 3048000 3072000 3121152 3172800 3190875 3216000 3251200 3267456 3293184 3321525 3357880 3384320 3403600 3430400 3542960 3901440 3966000 4029456 4061184 4064000 4084320 4096000 4116480 4161536 4197350 4230400 4251552 4254500 4288000 4356608 4390912 4428700 4876800 4915200 5036820 5076480 5105400 5145600 5201920 5288000 5314440 5372608 5414912 5445760 5488640 5535875 5624449 5668736 6096000 6144000 6242304 6296025 6345600 6381750 6432000 6502400 6534912 6586368 6643050 6715760 6768640 6807200 6860800 7085920 7802880 7932000 8058912 8122368 8128000 8168640 8192000 8232960 8323072 8394700 8460800 8503104 8509000 8576000 8713216 8857400 9753600 10073640 10152960 10210800 10291200 10403840 10493375 10576000 10628880 10745216 10829824 10891520 10977280 11071750 11248898 11337472 12192000 12288000 12484608 12592050 12691200 12763500 12864000 13004800 13069824 13172736 13286100 13431520 13537280 13614400 13721600 14171840 15605760 15864000 16117824 16244736 16256000 16337280 16465920 16607625 16789400 16873347 16921600 17006208 17018000 17152000 17426432 17714800 19507200 20147280 20305920 20421600 20582400 20807680 20986750 21152000 21257760 21490432 21659648 21783040 21954560 22143500 22497796 22674944 24384000 24576000 24969216 25184100 25382400 25527000 25728000 26009600 26139648 26572200 26863040 27074560 27228800 27443200 28122245 28343680 31211520 31480125 31728000 32235648 32489472 32512000 32674560 32931840 33215250 33578800 33746694 33843200 34012416 34036000 34304000 34852864 35429600 39014400 40294560 40611840 40843200 41164800 41615360 41973500 42304000 42515520 42980864 43319296 43566080 44287000 44995592 45349888 48768000 50368200 50764800 51054000 51456000 52019200 52279296 53144400 53726080 54149120 54457600 54886400 56244490 56687360 62423040 62960250 63456000 64471296 64978944 65024000 65349120 65863680 66430500 67157600 67493388 67686400 68024832 68072000 68608000 69705728 70859200 78028800 80589120 81223680 81686400 82329600 83947000 84366735 84608000 85031040 85961728 87132160 88574000 89991184 90699776 97536000 100736400 101529600 102108000 102912000 104038400 104558592 106288800 107452160 108298240 108915200 109772800 112488980 113374720 124846080 125920500 126912000 128942592 129957888 130048000 130698240 132861000 134315200 134986776 135372800 136049664 136144000 137216000 139411456 140611225 141718400 156057600 161178240 162447360 163372800 164659200 167894000 168733470 169216000 170062080 171923456 174264320 177148000 179982368 181399552 195072000 201472800 203059200 204216000 205824000 208076800 209117184 212577600 214904320 216596480 217830400 224977960 226749440 251841000 253824000 257885184 260096000 261396480 265722000 268630400 269973552 270745600 272099328 272288000 274432000 278822912 281222450 283436800 312115200 322356480 324894720 326745600 329318400 335788000 337466940 338432000 340124160 343846912 348528640 354296000 359964736 362799104 390144000 402945600 406118400 408432000 411648000 418234368 421833675 425155200 429808640 435660800 449955920 453498880 503682000 507648000 515770368 520192000 522792960 531444000 537260800 539947104 541491200 544198656 544576000 548864000 557645824 562444900 566873600 624230400 644712960 649789440 653491200 671576000 674933880 676864000 680248320 687693824 697057280 703056125 708592000 719929472 725598208 780288000 805891200 812236800 816864000 823296000 836468736 843667350 850310400 859617280 871321600 899911840 906997760 1007364000 1015296000 1031540736 1040384000 1045585920 1062888000 1074521600 1079894208 1082982400 1088397312 1089152000 1124889800 1133747200 1289425920 1306982400 1343152000 1349867760 1353728000 1360496640 1375387648 1394114560 1406112250 1417184000 1439858944 1451196416 1560576000 1611782400 1624473600 1633728000 1646592000 1672937472 1687334700 1700620800 1719234560 1742643200 1799823680 1813995520 2014728000 2030592000 2063081472 2091171840 2109168375 2125776000 2149043200 2159788416 2176794624 2178304000 2249779600 2267494400 2578851840 2613964800 2686304000 2699735520 2707456000 2720993280 2750775296 2788229120 2812224500 2834368000 2879717888 2902392832 3121152000 3223564800 3248947200 3267456000 3374669400 3401241600 3438469120 3485286400 3599647360 3627991040 4029456000 4061184000 4126162944 4182343680 4218336750 4251552000 4298086400 4319576832 4353589248 4356608000 4499559200 4534988800 5157703680 5227929600 5372608000 5399471040 5414912000 5441986560 5501550592 5624449000 5668736000 5759435776 6447129600 6534912000 6749338800 6802483200 6876938240 6970572800 7199294720 7255982080 8058912000 8122368000 8252325888 8364687360 8436673500 8503104000 8596172800 8639153664 8707178496 8713216000 8999118400 9069977600 10315407360 10455859200 10745216000 10798942080 10883973120 11248898000 11337472000 11518871552 12894259200 13069824000 13498677600 13604966400 13753876480 13941145600 14398589440 14511964160 16117824000 16244736000 16504651776 16873347000 17006208000 17192345600 17278307328 17426432000 17998236800 18139955200 20630814720 20911718400 21490432000 21597884160 21767946240 22497796000 22674944000 23037743104 25788518400 26139648000 26997355200 27209932800 27507752960 28797178880 32235648000 33746694000 34012416000 34384691200 34556614656 34852864000 35996473600 36279910400 41261629440 41823436800 42980864000 43195768320 43535892480 44995592000 45349888000 46075486208 51577036800 52279296000 53994710400 54419865600 57594357760 64471296000 67493388000 68024832000 68769382400 69113229312 69705728000 71992947200 72559820800 82523258880 85961728000 86391536640 89991184000 90699776000 92150972416 103154073600 104558592000 107989420800 108839731200 115188715520 128942592000 134986776000 136049664000 137538764800 138226458624 143985894400 171923456000 172783073280 179982368000 181399552000 184301944832 206308147200 209117184000 215978841600 217679462400 230377431040 257885184000 269973552000 272099328000 276452917248 287971788800 343846912000 345566146560 359964736000 362799104000 368603889664 412616294400 431957683200 460754862080 515770368000 539947104000 544198656000 552905834496 575943577600 687693824000 691132293120 719929472000 863915366400 921509724160 1031540736000 1079894208000 1088397312000 1105811668992 1151887155200 1382264586240 1439858944000 1727830732800 1843019448320 2063081472000 2159788416000 2303774310400 2764529172480 2879717888000 3455661465600 4319576832000 4607548620800 5529058344960 5759435776000 6911322931200 8639153664000 9215097241600 11518871552000 13822645862400 17278307328000 23037743104000 27645291724800 34556614656000 46075486208000 69113229312000 138226458624000
- Sum of all divisors σ(n): 471268133486592
- Sum of proper divisors (its aliquot sum) s(n): 333041674862592
- 138226458624000 is an abundant number, because the sum of its proper divisors (333041674862592) is greater than itself. Its abundance is 194815216238592
Bases of 138226458624000
- Binary: 111110110110111010110101111011100000000000000002
- Hexadecimal: 0x7DB75AF70000
- Base-36: 1CZWCWKA2O
Squares and roots of 138226458624000
- 138226458624000 squared (1382264586240002) is 19106553863732383973376000000
- 138226458624000 cubed (1382264586240003) is 2641031277092431707504738381594624000000000
-
The
square root of 138226458624000 is 11756974.8925478275 -
The
cube root of 138226458624000 is 51704.7441948599
Scales and comparisons
How big is 138226458624000?- 138,226,458,624,000 seconds is equal to 4,395,173 years, 42 weeks, 5 days, 2 hours, 40 minutes.
-
To count from 1 to 138,226,458,624,000 would take you about ten million, nine hundred eighty-seven thousand, nine hundred thirty-four 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 138226458624000 cubic inches would be around 4308.7 feet tall.
Recreational maths with 138226458624000
- 138226458624000 backwards is 000426854622831
- The number of decimal digits it has is: 15
- The sum of 138226458624000's digits is 51
- More coming soon!
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The information we have on file for 138226458624000 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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