138146386742004576
138,146,386,742,004,576 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138146386742004576 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 576 divisors.
138146386742004576 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138146386742004576:
25 × 3 × 13 × 17 × 19 × 31 × 1051432
(2 × 2 × 2 × 2 × 2 × 3 × 13 × 17 × 19 × 31 × 105143 × 105143)See below for interesting mathematical facts about the number 138146386742004576 from the Numbermatics database.
Names of 138146386742004576
- Cardinal: 138146386742004576 can be written as One hundred thirty-eight quadrillion, one hundred forty-six trillion, three hundred eighty-six billion, seven hundred forty-two million, four thousand, five hundred seventy-six.
Scientific notation
- Scientific notation: 1.38146386742004576 × 1017
Factors of 138146386742004576
Divisors of 138146386742004576
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 17 19 24 26 31 32 34 38 39 48 51 52 57 62 68 76 78 93 96 102 104 114 124 136 152 156 186 204 208 221 228 247 248 272 304 312 323 372 403 408 416 442 456 494 496 527 544 589 608 624 646 663 741 744 806 816 884 912 969 988 992 1054 1178 1209 1248 1292 1326 1482 1488 1581 1612 1632 1767 1768 1824 1938 1976 2108 2356 2418 2584 2652 2964 2976 3162 3224 3534 3536 3876 3952 4199 4216 4712 4836 5168 5304 5928 6324 6448 6851 7068 7072 7657 7752 7904 8398 8432 9424 9672 10013 10336 10608 11856 12597 12648 12896 13702 14136 15314 15504 16796 16864 18848 19344 20026 20553 21216 22971 23712 25194 25296 27404 28272 30039 30628 31008 33592 38688 40052 41106 45942 50388 50592 54808 56544 60078 61256 67184 80104 82212 91884 100776 105143 109616 120156 122512 130169 134368 160208 164424 183768 201552 210286 219232 240312 245024 260338 315429 320416 328848 367536 390507 403104 420572 480624 520676 630858 657696 735072 781014 841144 961248 1041352 1261716 1366859 1562028 1682288 1787431 1997717 2082704 2523432 2733718 3124056 3259433 3364576 3574862 3995434 4100577 4165408 5046864 5362293 5467436 5993151 6248112 6518866 7149724 7990868 8201154 9778299 10093728 10724586 10934872 11986302 12496224 13037732 14299448 15981736 16402308 19556598 21449172 21869744 23236603 23972604 25970321 26075464 28598896 31963472 32804616 33961189 39113196 42372629 42898344 43739488 46473206 47945208 51940642 52150928 55410361 57197792 61929227 63926944 65609232 67922378 69709809 77910963 78226392 84745258 85796688 92946412 95890416 101883567 103881284 104301856 110820722 123858454 127117887 131218464 135844756 139419618 155821926 156452784 166231083 169490516 171593376 185787681 185892824 191780832 203767134 207762568 221641444 247716908 254235774 271689512 278839236 311643852 312905568 332462166 338981032 371575362 371785648 407534268 415525136 441495457 443282888 495433816 508471548 543379024 557678472 623287704 664924332 677962064 720334693 743150724 743571296 805079951 815068536 831050272 882990914 886565776 990867632 1016943096 1052796859 1086758048 1115356944 1246575408 1324486371 1329848664 1355924128 1440669386 1486301448 1610159902 1630137072 1765981828 1773131552 1981735264 2033886192 2105593718 2161004079 2230713888 2415239853 2493150816 2648972742 2659697328 2881338772 2972602896 3158390577 3220319804 3260274144 3531963656 4067772384 4211187436 4322008158 4830479706 5297945484 5319394656 5762677544 5945205792 6316781154 6440639608 7063927312 8422374872 8644016316 9660959412 10595890968 11055050449 11525355088 12633562308 12881279216 13686359167 14127854624 16844749744 17288032632 19321918824 21191781936 22110100898 23050710176 25267124616 25762558432 27372718334 33165151347 33689499488 34576065264 38643837648 41059077501 42383563872 44220201796 50534249232 54745436668 66330302694 69152130528 77287675296 82118155002 88440403592 101068498464 109490873336 132660605388 143715655837 164236310004 176880807184 187935857633 210045958531 218981746672 265321210776 287431311674 328472620008 342706563919 353761614368 375871715266 420091917062 431146967511 437963493344 530642421552 563807572899 574862623348 630137875593 656945240016 685413127838 751743430532 840183834124 862293935022 1028119691757 1061284843104 1127615145798 1149725246696 1260275751186 1313890480032 1370826255676 1503486861064 1680367668248 1724587870044 2056239383514 2255230291596 2299450493392 2443166149229 2520551502372 2730597460903 2741652511352 3006973722128 3360735336496 3449175740088 3570781295027 4112478767028 4455185330947 4510460583192 4598900986784 4886332298458 5041103004744 5461194921806 5483305022704 5826011586623 6013947444256 6511424714461 6721470672992 6898351480176 7141562590054 7329498447687 8191792382709 8224957534056 8910370661894 9020921166384 9772664596916 10082206009488 10712343885081 10922389843612 10966610045408 11652023173246 13022849428922 13365555992841 13796702960352 14283125180108 14658996895374 16383584765418 16449915068112 17478034759869 17820741323788 18041842332768 19534274143383 19545329193832 20164412018976 21424687770162 21844779687224 23304046346492 26045698857844 26731111985682 28566250360216 29317993790748 32767169530836 32899830136224 34956069519738 35641482647576 39068548286766 39090658387664 42849375540324 43689559374448 46420156835351 46608092692984 52091397715688 53462223971364 57132500720432 58635987581496 65534339061672 69912139039476 71282965295152 75738150626099 78137096573532 78181316775328 84648521287993 85698751080648 87379118748896 92840313670702 93216185385968 104182795431376 106924447942728 110694220145837 114265001440864 117271975162992 131068678123344 139260470506053 139824278078952 142565930590304 151476301252198 156274193147064 169297042575986 171397502161296 185680627341404 186432370771936 208365590862752 213848895885456 221388440291674 227214451878297 234543950325984 253945563863979 262137356246688 278520941012106 279648556157904 302952602504396 312548386294128 332082660437511 338594085151972 342795004322592 371361254682808 427697791770912 442776880583348 454428903756594 507891127727958 557041882024212 559297112315808 605905205008792 625096772588256 664165320875022 677188170303944 742722509365616 885553761166696 908857807513188 1015782255455916 1114083764048424 1211810410017584 1328330641750044 1354376340607888 1439024861895881 1485445018731232 1771107522333392 1817715615026376 2031564510911832 2228167528096848 2423620820035168 2656661283500088 2708752681215776 2878049723791762 3542215044666784 3635431230052752 4063129021823664 4317074585687643 4456335056193696 5313322567000176 5756099447583524 7270862460105504 8126258043647328 8634149171375286 10626645134000352 11512198895167048 17268298342750572 23024397790334096 34536596685501144 46048795580668192 69073193371002288 138146386742004576
- Sum of all divisors σ(n): 449309824497838080
- Sum of proper divisors (its aliquot sum) s(n): 311163437755833504
- 138146386742004576 is an abundant number, because the sum of its proper divisors (311163437755833504) is greater than itself. Its abundance is 173017051013828928
Bases of 138146386742004576
- Binary: 1111010101100101101101000001001001100001011001011011000002
- Hexadecimal: 0x1EACB6824C2CB60
- Base-36: 11S8T1Y06LPC
Squares and roots of 138146386742004576
- 138146386742004576 squared (1381463867420045762) is 19084424169871497690295462804939776
- 138146386742004576 cubed (1381463867420045763) is 2636444242119527554691318076872517195352645196414976
-
The
square root of 138146386742004576 is 371680490.1282882457 -
The
cube root of 138146386742004576 is 516947.5841765559
Scales and comparisons
How big is 138146386742004576?- 138,146,386,742,004,576 seconds is equal to 4,392,627,783 years, 29 weeks, 2 days, 15 hours, 29 minutes, 36 seconds.
-
To count from 1 to 138,146,386,742,004,576 would take you about thirteen billion, one hundred seventy-seven million, eight hundred eighty-three thousand, three hundred fifty 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 138146386742004576 cubic inches would be around 43079 feet tall.
Recreational maths with 138146386742004576
- 138146386742004576 backwards is 675400247683641831
- The number of decimal digits it has is: 18
- The sum of 138146386742004576's digits is 75
- More coming soon!
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The information we have on file for 138146386742004576 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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