138404045217280000
138,404,045,217,280,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138404045217280000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 780 divisors.
138404045217280000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred eighty divisors.
Prime factorization of 138404045217280000:
212 × 54 × 23 × 1392 × 121661
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 23 × 139 × 139 × 121661)See below for interesting mathematical facts about the number 138404045217280000 from the Numbermatics database.
Names of 138404045217280000
- Cardinal: 138404045217280000 can be written as One hundred thirty-eight quadrillion, four hundred four trillion, forty-five billion, two hundred seventeen million, two hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3840404521728 × 1017
Factors of 138404045217280000
Divisors of 138404045217280000
- Number of divisors d(n): 780
-
Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 128 139 160 184 200 230 250 256 278 320 368 400 460 500 512 556 575 625 640 695 736 800 920 1000 1024 1112 1150 1250 1280 1390 1472 1600 1840 2000 2048 2224 2300 2500 2560 2780 2875 2944 3197 3200 3475 3680 4000 4096 4448 4600 5000 5120 5560 5750 5888 6394 6400 6950 7360 8000 8896 9200 10000 10240 11120 11500 11776 12788 12800 13900 14375 14720 15985 16000 17375 17792 18400 19321 20000 20480 22240 23000 23552 25576 25600 27800 28750 29440 31970 32000 34750 35584 36800 38642 40000 44480 46000 47104 51152 51200 55600 57500 58880 63940 64000 69500 71168 73600 77284 79925 80000 86875 88960 92000 94208 96605 102304 102400 111200 115000 117760 121661 127880 128000 139000 142336 147200 154568 159850 160000 173750 177920 184000 193210 204608 222400 230000 235520 243322 255760 256000 278000 284672 294400 309136 319700 320000 347500 355840 368000 386420 399625 409216 444383 444800 460000 471040 483025 486644 511520 512000 556000 569344 588800 608305 618272 639400 640000 695000 711680 736000 772840 799250 818432 888766 889600 920000 966050 973288 1023040 1112000 1177600 1216610 1236544 1278800 1280000 1390000 1423360 1472000 1545680 1598500 1636864 1777532 1779200 1840000 1932100 1946576 1998125 2046080 2221915 2224000 2355200 2415125 2433220 2473088 2557600 2560000 2780000 2798203 2846720 2944000 3041525 3091360 3197000 3273728 3555064 3558400 3680000 3864200 3893152 3996250 4092160 4443830 4448000 4830250 4866440 4946176 5115200 5560000 5596406 5888000 6083050 6182720 6394000 6547456 7110128 7116800 7360000 7728400 7786304 7992500 8184320 8887660 8896000 9660500 9732880 9892352 10230400 11109575 11120000 11192812 11776000 12075625 12166100 12365440 12788000 13094912 13991015 14220256 14233600 14720000 15207625 15456800 15572608 15985000 16368640 16910879 17775320 17792000 19321000 19465760 19784704 20460800 22219150 22240000 22385624 24151250 24332200 24730880 25576000 27982030 28440512 29440000 30415250 30913600 31145216 31970000 32737280 33821758 35550640 35584000 38642000 38931520 39569408 40921600 44438300 44480000 44771248 48302500 48664400 49461760 51152000 55547875 55964060 56881024 58880000 60830500 61827200 62290432 63940000 65474560 67643516 69955075 71101280 71168000 76038125 77284000 77863040 79138816 81843200 84554395 88876600 88960000 89542496 96605000 97328800 98923520 102304000 111095750 111928120 113762048 121661000 123654400 124580864 127880000 135287032 139910150 142202560 152076250 154568000 155726080 163686400 169108790 177753200 177920000 179084992 193210000 194657600 197847040 204608000 222191500 223856240 227524096 243322000 247308800 249161728 255760000 270574064 277739375 279820300 284405120 304152500 309136000 311452160 327372800 338217580 349775375 355506400 355840000 358169984 386420000 388950217 389315200 395694080 409216000 422771975 444383000 447712480 455048192 486644000 494617600 498323456 511520000 541148128 555478750 559640600 568810240 608305000 618272000 622904320 676435160 699550750 711012800 716339968 772840000 777900434 778630400 818432000 845543950 888766000 895424960 910096384 973288000 989235200 1023040000 1082296256 1110957500 1119281200 1137620480 1216610000 1236544000 1245808640 1352870320 1399101500 1422025600 1432679936 1545680000 1555800868 1557260800 1636864000 1691087900 1748876875 1777532000 1790849920 1820192768 1944751085 1946576000 1978470400 2046080000 2113859875 2164592512 2221915000 2238562400 2275240960 2350612181 2433220000 2473088000 2491617280 2705740640 2798203000 2844051200 2865359872 3091360000 3111601736 3114521600 3382175800 3497753750 3555064000 3581699840 3889502170 3893152000 4092160000 4227719750 4329185024 4443830000 4477124800 4550481920 4701224362 4866440000 4946176000 5411481280 5596406000 5688102400 5730719744 6182720000 6223203472 6229043200 6764351600 6995507500 7110128000 7163399680 7779004340 7786304000 8184320000 8455439500 8658370048 8887660000 8954249600 9100963840 9402448724 9723755425 9732880000 9892352000 10569299375 10822962560 11192812000 11376204800 11461439488 11753060905 12365440000 12446406944 12458086400 13528703200 13991015000 14220256000 14326799360 15558008680 15572608000 16910879000 17316740096 17775320000 17908499200 18804897448 19447510850 19465760000 21138598750 21645925120 22385624000 22752409600 23506121810 24730880000 24892813888 27057406400 27982030000 28440512000 28653598720 31116017360 31145216000 33821758000 34633480192 35550640000 35816998400 37609794896 38895021700 38931520000 42277197500 43291850240 44771248000 45504819200 47012243620 48618777125 49461760000 49785627776 54064080163 54114812800 55964060000 56881024000 57307197440 58765304525 62232034720 62290432000 67643516000 69266960384 71101280000 71633996800 75219589792 77790043400 77863040000 84554395000 86583700480 89542496000 94024487240 97237554250 99571255552 108128160326 108229625600 111928120000 113762048000 117530609050 124464069440 135287032000 142202560000 143267993600 150439179584 155580086800 155726080000 169108790000 173167400960 179084992000 188048974480 194475108500 199142511104 216256320652 216459251200 223856240000 227524096000 235061218100 243093885625 248928138880 270320400815 270574064000 284405120000 286535987200 293826522625 300878359168 311160173600 311452160000 338217580000 346334801920 358169984000 376097948960 388950217000 398285022208 432512641304 432918502400 447712480000 470122436200 486187771250 497856277760 540640801630 541148128000 568810240000 587653045250 601756718336 622320347200 676435160000 716339968000 752195897920 777900434000 796570044416 865025282608 865837004800 895424960000 940244872400 972375542500 995712555520 1081281603260 1082296256000 1137620480000 1175306090500 1203513436672 1244640694400 1351602004075 1352870320000 1432679936000 1469132613125 1504391795840 1555800868000 1593140088832 1730050565216 1731674009600 1790849920000 1880489744800 1944751085000 1991425111040 2162563206520 2164592512000 2350612181000 2407026873344 2489281388800 2703204008150 2705740640000 2938265226250 3008783591680 3111601736000 3460101130432 3581699840000 3760979489600 3889502170000 3982850222080 4325126413040 4329185024000 4701224362000 4814053746688 4978562777600 5406408016300 5411481280000 5876530452500 6017567183360 6223203472000 6758010020375 6920202260864 7163399680000 7521958979200 7779004340000 7965700444160 8650252826080 8658370048000 9402448724000 9628107493376 9957125555200 10812816032600 10822962560000 11753060905000 12035134366720 12446406944000 13516020040750 13840404521728 15043917958400 15558008680000 17300505652160 18804897448000 19914251110400 21625632065200 21645925120000 23506121810000 24070268733440 24892813888000 27032040081500 27680809043456 30087835916800 31116017360000 33790050101875 34601011304320 37609794896000 39828502220800 43251264130400 43291850240000 47012243620000 48140537466880 49785627776000 54064080163000 55361618086912 60175671833600 62232034720000 67580100203750 69202022608640 75219589792000 86502528260800 94024487240000 99571255552000 108128160326000 110723236173824 120351343667200 124464069440000 135160200407500 138404045217280 150439179584000 173005056521600 188048974480000 199142511104000 216256320652000 221446472347648 240702687334400 248928138880000 270320400815000 276808090434560 300878359168000 346010113043200 376097948960000 432512641304000 497856277760000 540640801630000 553616180869120 601756718336000 692020226086400 752195897920000 865025282608000 995712555520000 1081281603260000 1107232361738240 1203513436672000 1384040452172800 1504391795840000 1730050565216000 2162563206520000 2768080904345600 3008783591680000 3460101130432000 4325126413040000 5536161808691200 6017567183360000 6920202260864000 8650252826080000 13840404521728000 17300505652160000 27680809043456000 34601011304320000 69202022608640000 138404045217280000
- Sum of all divisors σ(n): 363512463427898928
- Sum of proper divisors (its aliquot sum) s(n): 225108418210618928
- 138404045217280000 is an abundant number, because the sum of its proper divisors (225108418210618928) is greater than itself. Its abundance is 86704372993338928
Bases of 138404045217280000
- Binary: 1111010111011010110111110111011101010011100110000000000002
- Hexadecimal: 0x1EBB5BEEEA73000
- Base-36: 11US50M3TFR4
Squares and roots of 138404045217280000
- 138404045217280000 squared (1384040452172800002) is 19155679732506886842410598400000000
- 138404045217280000 cubed (1384040452172800003) is 2651223563865617221626000742549502820352000000000000
-
The
square root of 138404045217280000 is 372026941.5207452419 -
The
cube root of 138404045217280000 is 517268.7729453091
Scales and comparisons
How big is 138404045217280000?- 138,404,045,217,280,000 seconds is equal to 4,400,820,526 years, 4 weeks, 4 days, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,404,045,217,280,000 would take you about thirteen billion, two hundred two million, four hundred sixty-one thousand, five hundred seventy-eight 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 138404045217280000 cubic inches would be around 43105.7 feet tall.
Recreational maths with 138404045217280000
- 138404045217280000 backwards is 000082712540404831
- The number of decimal digits it has is: 18
- The sum of 138404045217280000's digits is 49
- More coming soon!
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The information we have on file for 138404045217280000 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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