138826519138125
138,826,519,138,125 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138826519138125 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 810 divisors.
138826519138125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ten divisors.
Prime factorization of 138826519138125:
32 × 54 × 72 × 132 × 532 × 1061
(3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 53 × 53 × 1061)See below for interesting mathematical facts about the number 138826519138125 from the Numbermatics database.
Names of 138826519138125
- Cardinal: 138826519138125 can be written as One hundred thirty-eight trillion, eight hundred twenty-six billion, five hundred nineteen million, one hundred thirty-eight thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38826519138125 × 1014
Factors of 138826519138125
Divisors of 138826519138125
- Number of divisors d(n): 810
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Complete list of divisors:
1 3 5 7 9 13 15 21 25 35 39 45 49 53 63 65 75 91 105 117 125 147 159 169 175 195 225 245 265 273 315 325 371 375 441 455 477 507 525 585 625 637 689 735 795 819 845 875 975 1061 1113 1125 1183 1225 1325 1365 1521 1575 1625 1855 1875 1911 2067 2205 2275 2385 2535 2597 2625 2809 2925 3183 3185 3339 3445 3549 3675 3975 4095 4225 4375 4823 4875 5305 5565 5625 5733 5915 6125 6201 6625 6825 7427 7605 7791 7875 8125 8281 8427 8957 9275 9549 9555 10335 10647 11025 11375 11925 12675 12985 13125 13793 14045 14469 14625 15915 15925 16695 17225 17745 18375 19663 19875 20475 21125 22281 23373 24115 24375 24843 25281 26525 26871 27825 28665 29575 30625 31005 33125 33761 34125 36517 37135 38025 38955 39375 41379 41405 42135 43407 44785 46375 47745 47775 51675 51989 53235 55125 56233 56875 58989 59625 62699 63375 64925 66843 68965 70225 72345 73125 74529 79575 79625 80613 83475 86125 88725 91875 96551 98315 99375 101283 102375 105625 109551 111405 116865 120575 124137 124215 126405 132625 134355 137641 139125 143325 147875 155025 155967 168699 168805 170625 176967 179309 182585 185675 188097 190125 194775 206895 207025 210675 217035 223925 231875 238725 238875 255619 258375 259945 266175 275625 281165 289653 294945 298125 303849 313495 316875 324625 328653 334215 344825 351125 361725 372645 393631 397875 398125 403065 412923 417375 430625 438893 443625 467901 474721 482755 491575 506097 506415 511875 537927 547755 557025 564291 584325 602875 620685 621075 632025 663125 671775 675857 688205 695625 716625 731029 739375 766857 775125 779835 843495 844025 868959 884835 896545 912925 928375 940485 950625 973875 1034475 1035125 1053375 1085175 1119625 1180893 1193625 1194375 1238769 1255163 1278095 1291875 1299725 1316679 1330875 1405825 1424163 1448265 1474725 1519245 1567475 1613781 1623125 1643265 1671075 1724125 1755625 1789333 1808625 1863225 1968155 1989375 2015325 2027571 2064615 2086875 2193087 2194465 2218125 2300571 2339505 2373605 2413775 2457875 2530485 2532075 2689635 2738775 2755417 2785125 2821455 2921625 2980349 3014375 3103425 3105375 3160125 3323047 3358875 3379285 3441025 3542679 3583125 3655145 3765489 3834285 3875625 3899175 3950037 4217475 4220125 4272489 4344795 4424175 4482725 4564625 4641875 4702425 4869375 5117203 5172375 5175625 5266875 5367999 5425875 5598125 5904465 5968125 6082713 6193845 6275815 6390475 6498625 6579261 6583395 6654375 7029125 7120815 7241325 7373625 7596225 7837375 8068905 8216325 8266251 8355375 8620625 8786141 8941047 8946665 9043125 9316125 9503377 9840775 9969141 10076625 10137855 10323075 10965435 10972325 11296467 11502855 11697525 11868025 12068875 12289375 12652425 12660375 13448175 13693875 13777085 13925625 14107275 14608125 14901745 15351609 15517125 15526875 15800625 16103997 16615235 16794375 16896425 17205125 17713395 18275725 18827445 19171425 19495875 19750185 20862443 21087375 21100625 21362445 21723975 22120875 22413625 22823125 23261329 23512125 24798753 25586015 25861875 26358423 26823141 26839995 27129375 28510131 29522325 29907423 30413565 30969225 31379075 31952375 32493125 32896305 32916975 35145625 35604075 35820421 36206625 36868125 37981125 38744537 39186875 40344525 41081625 41331255 41776875 43930705 44705235 44733325 46054827 46580625 47516885 49203875 49845705 50383125 50689275 51615375 54827175 54861625 56482335 57514275 58487625 59340125 60344375 62587329 63262125 63301875 66523639 67240875 68469375 68885425 69783987 70536375 74508725 76758045 77585625 79075269 80519985 83076175 84482125 85530393 86025625 88566975 91378625 94137225 95857125 97479375 98750925 104312215 105436875 106812225 107461263 108619875 110604375 112068125 116233611 116306645 117560625 123993765 127930075 131792115 134115705 134199975 142550655 146037101 147611625 149537115 152067825 154846125 156895375 159761875 164481525 164584875 178020375 179102105 181033125 187761987 189905625 193722685 199570917 201722625 205408125 206656275 209351961 219653525 223526175 223666625 230274135 237584425 246019375 249228525 253446375 258076875 271211759 274135875 274308125 282411675 287571375 292438125 296700625 312936645 316310625 322383789 332618195 336204375 344427125 348700833 348919935 352681875 372543625 383790225 395376345 402599925 415380875 422410625 427651965 438111303 442834875 456893125 465665473 470686125 479285625 493754625 503678981 521561075 534061125 537306315 543099375 581168055 581533225 598712751 619968825 639650375 658960575 670578525 670999875 712753275 730185505 738058125 747685575 760339125 774230625 784476875 813635277 822407625 822924375 890101875 895510525 938809935 968613425 997854585 1008613125 1033281375 1046759805 1098267625 1117630875 1118333125 1151370675 1187922125 1246142625 1267231875 1314333909 1356058795 1370679375 1396996419 1412058375 1437856875 1511036943 1564683225 1611918945 1663090975 1722135625 1743504165 1744599675 1862718125 1898482313 1918951125 1976881725 2012999625 2076904375 2138259825 2190556515 2214174375 2328327365 2353430625 2440905831 2468773125 2518394905 2607805375 2670305625 2686531575 2905840275 2907666125 2993563755 3099844125 3198251875 3294802875 3352892625 3354999375 3525752867 3563766375 3650927525 3738427875 3801695625 4068176385 4112038125 4190989257 4477552625 4533110829 4694049675 4843067125 4989272925 5166406875 5233799025 5491338125 5588154375 5695446939 5756853375 5939610625 6230713125 6571669545 6780293975 6984982095 7060291875 7555184715 7823416125 8059594725 8315454875 8717520825 8722998375 9492411565 9594755625 9884408625 10064998125 10577258601 10691299125 10952782575 11641636825 12204529155 12591974525 13039026875 13432657875 14529201375 14538330625 14967818775 15499220625 16474014375 16764463125 17086340817 17628764335 17818831875 18254637625 18692139375 20340881925 20954946285 22387763125 22665554145 23470248375 24215335625 24680270069 24946364625 26168995125 28477234695 28784266875 31731775803 32858347725 33901469875 34924910475 37775923575 39117080625 40297973625 41577274375 43587604125 43614991875 47462057825 49422043125 52886293005 53456495625 54763912875 58208184125 61022645775 62959872625 67163289375 72646006875 74040810207 74839093875 85431704085 88143821675 91273188125 101704409625 104774731425 113327770725 117351241875 123401350345 124731823125 130844975625 142386173475 158658879015 164291738625 169507349375 174624552375 188879617875 201489868125 217938020625 222122430621 237310289125 264431465025 273819564375 291040920625 305113228875 314799363125 370204051035 374195469375 427158520425 440719108375 508522048125 523873657125 566638853625 617006751725 711930867375 793294395075 821458693125 873122761875 944398089375 1110612153105 1186551445625 1322157325125 1525566144375 1851020255175 2135792602125 2203595541875 2619368285625 2833194268125 3085033758625 3559654336875 3966471975375 5553060765525 6610786625625 9255101275875 10678963010625 15425168793125 19832359876875 27765303827625 46275506379375 138826519138125
- Sum of all divisors σ(n): 322007655127158
- Sum of proper divisors (its aliquot sum) s(n): 183181135989033
- 138826519138125 is an abundant number, because the sum of its proper divisors (183181135989033) is greater than itself. Its abundance is 44354616850908
Bases of 138826519138125
- Binary: 111111001000011000100010101101111001111010011012
- Hexadecimal: 0x7E43115BCF4D
- Base-36: 1D7K0T3M19
Squares and roots of 138826519138125
- 138826519138125 squared (1388265191381252) is 19272802416008186892828515625
- 138826519138125 cubed (1388265191381253) is 2675576073451262295543939702727798095703125
-
The
square root of 138826519138125 is 11782466.5982180913 -
The
cube root of 138826519138125 is 51779.4553792355
Scales and comparisons
How big is 138826519138125?- 138,826,519,138,125 seconds is equal to 4,414,253 years, 46 weeks, 1 day, 22 hours, 48 minutes, 45 seconds.
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To count from 1 to 138,826,519,138,125 would take you about eleven million, thirty-five thousand, six 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 138826519138125 cubic inches would be around 4315 feet tall.
Recreational maths with 138826519138125
- 138826519138125 backwards is 521831915628831
- 138826519138125 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138826519138125's digits is 63
- More coming soon!
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The information we have on file for 138826519138125 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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