138089921082750
138,089,921,082,750 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138089921082750 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
138089921082750 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138089921082750:
2 × 32 × 53 × 72 × 133 × 672 × 127
(2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 13 × 67 × 67 × 127)See below for interesting mathematical facts about the number 138089921082750 from the Numbermatics database.
Names of 138089921082750
- Cardinal: 138089921082750 can be written as One hundred thirty-eight trillion, eighty-nine billion, nine hundred twenty-one million, eighty-two thousand, seven hundred fifty.
Scientific notation
- Scientific notation: 1.3808992108275 × 1014
Factors of 138089921082750
Divisors of 138089921082750
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 5 6 7 9 10 13 14 15 18 21 25 26 30 35 39 42 45 49 50 63 65 67 70 75 78 90 91 98 105 117 125 126 127 130 134 147 150 169 175 182 195 201 210 225 234 245 250 254 273 294 315 325 335 338 350 375 381 390 402 441 450 455 469 490 507 525 546 585 603 630 635 637 650 670 735 750 762 819 845 871 875 882 889 910 938 975 1005 1014 1050 1125 1143 1170 1183 1206 1225 1270 1274 1365 1407 1470 1521 1575 1625 1638 1651 1675 1690 1742 1750 1778 1905 1911 1950 2010 2197 2205 2250 2275 2286 2345 2366 2450 2535 2613 2625 2667 2730 2814 2925 3015 3042 3150 3175 3185 3250 3283 3302 3350 3549 3675 3810 3822 4095 4221 4225 4355 4394 4410 4445 4489 4550 4690 4875 4953 5025 5070 5226 5250 5334 5715 5733 5850 5915 6030 6097 6125 6223 6350 6370 6566 6591 6825 7035 7098 7350 7605 7839 7875 8001 8190 8255 8281 8375 8442 8450 8509 8710 8890 8978 9525 9555 9750 9849 9906 10050 10647 10985 11025 11323 11375 11430 11466 11557 11725 11830 12194 12250 12446 12675 13065 13182 13335 13467 13650 14070 14625 14859 15075 15210 15379 15678 15750 15875 15925 16002 16415 16510 16562 16750 17018 17745 18291 18375 18669 19050 19110 19698 19773 20475 21105 21125 21294 21463 21775 21970 22050 22225 22445 22646 22750 23114 23450 24765 24843 25125 25350 25527 26130 26670 26934 28575 28665 29250 29547 29575 29718 30150 30485 30758 31115 31423 31750 31850 32830 32955 33969 34125 34671 35175 35490 36582 36750 37338 38025 39195 39546 40005 40401 40950 41275 41405 42210 42250 42545 42679 42926 43550 44450 44890 46137 47625 47775 49245 49530 49686 50250 51054 53235 54873 54925 55125 56007 56615 57150 57330 57785 58357 58625 59094 59150 59563 60970 62230 62846 63375 64389 65325 65910 66675 67335 67938 68250 69342 70350 74295 74529 75375 76050 76581 76895 78390 79261 79625 80010 80802 80899 82075 82550 82810 85090 85358 88725 91455 92274 93345 94269 95250 95550 98490 98865 101907 102375 104013 105525 106470 107315 107653 108875 109746 109850 110250 110617 111125 112014 112225 113230 115570 116714 117250 119126 123825 124215 126750 127635 128037 128778 130650 133350 134670 138411 142875 143325 147199 147735 147875 148590 149058 150241 150750 152425 153162 153790 155575 157115 158522 159250 161798 164150 164775 169845 173355 175071 175875 177450 178689 182910 186690 188538 190125 193167 195975 197730 200025 202005 203814 204750 206375 207025 208026 211050 212725 213395 214630 215306 217750 219961 221234 222250 224450 230685 237783 238875 242697 246225 247650 248430 255270 256074 266175 274365 274625 276822 279019 280035 282807 283075 285750 286650 288925 291785 294398 295470 295750 297815 300482 304850 311150 314230 321945 322959 326625 329550 331851 333375 336675 339690 346710 350142 351750 357378 371475 372645 380250 382905 384111 384475 386334 391950 396305 400050 404010 404495 408499 410375 412750 414050 416941 425450 426790 439922 441597 443625 450723 457275 461370 466725 471345 475566 477750 485394 492450 494325 509535 520065 525213 527625 532350 536067 536575 538265 548730 549250 553085 554827 558038 560070 561125 565614 566150 570103 577850 583570 595630 619125 621075 638175 640185 643890 645918 653250 659883 663702 666750 673350 692055 713349 716625 728091 735995 738675 742950 745290 751205 758641 762125 765810 768222 768950 774319 777875 785575 792610 808990 816998 820750 823875 833882 837057 849225 866775 875355 883194 887250 893445 901446 914550 933450 942690 965835 968877 979875 988650 995553 1000125 1010025 1019070 1030393 1035125 1040130 1050426 1051687 1055250 1063625 1066975 1072134 1073150 1076530 1099805 1106170 1109654 1122250 1140206 1153425 1188915 1213485 1225497 1231125 1238250 1242150 1250823 1276350 1280370 1319766 1324791 1330875 1352169 1371825 1384110 1395095 1400175 1414035 1415375 1426698 1433250 1438021 1444625 1456182 1458925 1471990 1477350 1489075 1502410 1517282 1524250 1548638 1555750 1571150 1609725 1614795 1647750 1659255 1664481 1674114 1683375 1698450 1710309 1733550 1750710 1786890 1857375 1863225 1914525 1920555 1922375 1931670 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301984410 306374250 311276238 312705750 313896375 323554725 324573795 331197750 333510255 334560681 336496914 338042250 341388450 341798275 345181655 348443550 352315145 357436625 359164890 359505250 360637550 363155611 370566950 371734090 386397375 392579733 394382625 398286525 406517475 410157930 414217986 416120250 419025705 422778174 427577250 428923950 439454925 443804985 452976615 459561375 463676850 466914357 467356825 469058625 473259150 477943830 481737035 483254317 487820970 488283250 493116650 494912250 498840125 502830846 503307350 518793730 539257875 540956325 555850425 557601135 560828190 568980750 578084442 580739250 598608150 615236895 621326979 624180375 627792750 634167261 641365875 643385925 647109450 649147590 654299555 663810875 667020510 669121362 674431849 677529125 683596550 690363310 698376175 704630290 714873250 726311222 732424875 739674975 754961025 772794750 778190595 785159466 788765250 796573050 813034950 838051410 841242285 853471125 867126663 871108875 878909850 887609970 897912225 901593875 905953230 916019377 919122750 926417375 929335225 933828714 934713650 938117250 963474070 966508634 997680250 1025394825 1035544965 1056945435 1072309875 1078515750 1081912650 1089466833 1111700850 1115202270 1159192125 1177739199 1183147875 1194859575 1219552425 1230473790 1232791625 1242653958 1248360750 1252516291 1257077115 1258268375 1268334522 1282731750 1286771850 1296984325 1308599110 1327621750 1348863698 1355058250 1396752350 1402070475 1445211105 1449762951 1464849750 1479349950 1496520375 1509922050 1556381190 1617773625 1622868975 1667551275 1672803405 1682484570 1706942250 1708991375 1725908275 1734253326 1742217750 1761575725 1795824450 1803187750 1815778055 1832038754 1852834750 1858670450 1962898665 1991432625 2023295547 2032587375 2050789650 2071089930 2095128525 2113890870 2144619750 2178933666 2197274625 2219024925 2264883075 2318384250 2334571785 2336784125 2355478398 2366295750 2389719150 2408685175 2416271585 2439104850 2465583250 2505032582 2514154230 2516536750 2593968650 2704781625 2748058131 2779252125 2788005675 2804140950 2890422210 2899525902 2993040750 3076184475 3106634895 3170836305 3216929625 3235547250 3245737950 3268400499 3271497775 3335102550 3345606810 3372159245 3417982750 3451816550 3491880875 3523151450 3631556110 3698374875 3757548873 3774805125 3890952975 3925797330 3982865250 4046591094 4065174750 4190257050 4206211425 4335633315 4349288853 4394549250 4438049850 4489561125 4529766150 4580096885 4646676125 4669143570 4673568250 4721022943 4817370350 4832543170 5126974125 5177724825 5284727175 5409563250 5447334165 5496116262 5558504250 5576011350 5888695995 5974297875 6069886641 6097762125 6152368950 6213269790 6262581455 6285385575 6341672610 6433859250 6484921625 6536800998 6542995550 6744318490 6983761750 7010352375 7226055525 7248814755 7396749750 7515097746 7549610250 7781905950 8114344875 8244174393 8337756375 8364017025 8412422850 8629541375 8671266630 8698577706 8767614037 8807878625 8979122250 9078890275 9160193770 9293352250 9442045886 9814493325 10116477735 10253948250 10355449650 10475642625 10569454350 10894668330 11095124625 11272646619 11324415375 11672858925 11777391990 11948595750 12043425875 12081357925 12139773282 12195524250 12525162910 12570771150 12969843250 13740290655 13940028375 14020704750 14163068829 14452111050 14497629510 15380922375 15533174475 15854181525 16228689750 16342002495 16357488875 16488348786 16675512750 16728034050 16860796225 17259082750 17535228074 17615757250 18157780550 18787744365 19454764875 19628986650 20232955470 20951285250 21031057125 21678166575 21746444265 22190249250 22545293238 22648830750 22900484425 23345717850 23605114715 24086851750 24162715850 25888624125 26302842111 26423635875 27236670825 27480581310 27880056750 28326137658 29443479975 30349433205 30761844750 31066348950 31312907275 31426927875 31708363050 32684004990 32714977750 33721592450 36130277625 36244073775 37575488730 38909529750 41220871965 41820085125 42062114250 42489206487 43356333150 43492888530 43838070185 45394451375 45800968850 47210229430 49072466625 50582388675 51777248250 52605684222 52847271750 54473341650 56363233095 58364294625 58886959950 60406789625 60698866410 61373298259 62625814550 62853855750 68701453275 70815344145 72260555250 72488147550 77665872375 78908526333 79270907625 81710012475 82441743930 83640170250 84303981125 84978412974 87676140370 90788902750 93938721825 98144933250 101164777350 108390832875 108732221325 112726466190 114502422125 116728589250 118025573575 120813579250 122746596518 131514210555 136183354125 137402906550 141630688290 147217399875 151747166025 155331744750 156564536375 157817052666 158541815250 163420024950 168607962250 181220368875 184119894777 187877443650 206104359825 212446032435 216781665750 217464442650 219190350925 229004844250 236051147150 252911943375 263028421110 272366708250 281816165475 294434799750 303494332050 306866491295 313129072750 343507266375 354076720725 362440737750 368239789554 394542631665 408550062375 412208719650 424892064870 438380701850 469693609125 505823886750 543661106625 552359684331 563632330950 590127867875 613732982590 657571052775 687014532750 708153441450 758735830125 789085263330 817100124750 920599473885 939387218250 1030521799125 1062230162175 1087322213250 1095951754625 1104719368662 1180255735750 1315142105550 1409080827375 1517471660250 1534332456475 1770383603625 1841198947770 1972713158325 2061043598250 2124460324350 2191903509250 2761798421655 2818161654750 3068664912950 3287855263875 3540767207250 3945426316650 4602997369425 5311150810875 5523596843310 6575710527750 7671662282375 9205994738850 9863565791625 10622301621750 13808992108275 15343324564750 19727131583250 23014986847125 27617984216550 46029973694250 69044960541375 138089921082750
- Sum of all divisors σ(n): 481426526730240
- Sum of proper divisors (its aliquot sum) s(n): 343336605647490
- 138089921082750 is an abundant number, because the sum of its proper divisors (343336605647490) is greater than itself. Its abundance is 205246684564740
Bases of 138089921082750
- Binary: 111110110010111100100001011000101110101011111102
- Hexadecimal: 0x7D9790B1757E
- Base-36: 1CY5MTMWZI
Squares and roots of 138089921082750
- 138089921082750 squared (1380899210827502) is 19068826304640122932347562500
- 138089921082750 cubed (1380899210827503) is 2633212719548421885867133422819323296875000
-
The
square root of 138089921082750 is 11751166.7966525775 -
The
cube root of 138089921082750 is 51687.7142560907
Scales and comparisons
How big is 138089921082750?- 138,089,921,082,750 seconds is equal to 4,390,832 years, 18 weeks, 1 day, 11 hours, 52 minutes, 30 seconds.
-
To count from 1 to 138,089,921,082,750 would take you about ten million, nine hundred seventy-seven thousand and eighty 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 138089921082750 cubic inches would be around 4307.3 feet tall.
Recreational maths with 138089921082750
- 138089921082750 backwards is 057280129980831
- 138089921082750 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138089921082750's digits is 63
- More coming soon!
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"Number 138089921082750 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 138089921082750 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138089921082750/
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The information we have on file for 138089921082750 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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