138920725195791525
138,920,725,195,791,525 is an odd composite number composed of seven prime numbers multiplied together.
138920725195791525 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138920725195791525:
36 × 52 × 7 × 17 × 19 × 312 × 18732
(3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 17 × 19 × 31 × 31 × 1873 × 1873)See below for interesting mathematical facts about the number 138920725195791525 from the Numbermatics database.
Names of 138920725195791525
- Cardinal: 138920725195791525 can be written as One hundred thirty-eight quadrillion, nine hundred twenty trillion, seven hundred twenty-five billion, one hundred ninety-five million, seven hundred ninety-one thousand, five hundred twenty-five.
Scientific notation
- Scientific notation: 1.38920725195791525 × 1017
Factors of 138920725195791525
Divisors of 138920725195791525
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 3 5 7 9 15 17 19 21 25 27 31 35 45 51 57 63 75 81 85 93 95 105 119 133 135 153 155 171 175 189 217 225 243 255 279 285 315 323 357 399 405 425 459 465 475 513 525 527 567 589 595 651 665 675 729 765 775 837 855 945 961 969 1071 1085 1197 1215 1275 1377 1395 1425 1539 1575 1581 1615 1701 1767 1785 1873 1953 1995 2025 2261 2295 2325 2511 2565 2635 2835 2883 2907 2945 2975 3213 3255 3325 3591 3645 3689 3825 4123 4131 4185 4275 4617 4725 4743 4805 4845 5103 5301 5355 5425 5619 5859 5985 6075 6727 6783 6885 6975 7533 7695 7905 8075 8505 8649 8721 8835 8925 9365 9639 9765 9975 10013 10773 11067 11305 11475 12369 12393 12555 12825 13111 13175 13851 14175 14229 14415 14535 14725 15903 16065 16275 16337 16857 17577 17955 18225 18259 18445 20181 20349 20615 20655 20925 22599 23085 23715 24025 24225 25515 25947 26163 26505 26775 28095 28917 29295 29925 30039 31841 32319 33201 33635 33915 34425 35587 37107 37665 38475 39333 39525 42525 42687 43245 43605 44175 46825 47709 48195 48825 49011 50065 50571 52731 53865 54777 55335 56525 58063 60543 61047 61845 61965 62775 65555 69255 70091 71145 72075 72675 77841 78489 79515 80325 81685 84285 86751 87885 89775 90117 91295 92225 95523 96957 99603 100905 101745 103075 103275 106761 111321 112995 114359 115425 117999 118575 127575 127813 128061 129735 130815 132525 140475 143127 144585 146475 147033 150195 151713 158193 159205 161595 164331 166005 168175 169575 174189 177935 181629 183141 185535 188325 196665 210273 213435 216225 218025 222887 233523 235467 238545 240975 245055 249109 250325 252855 263655 269325 270351 273885 276675 286569 290315 298809 302715 305235 309225 309825 310403 320283 327775 333963 343077 346275 350455 353997 355725 383439 384183 389205 392445 397575 406441 408425 421425 429381 433755 439425 441099 450585 455139 456475 477615 484785 492993 498015 504525 508725 522567 533805 544887 549423 556605 564975 571795 589995 604979 630819 639065 640305 648675 654075 668661 700569 715635 722925 735165 747327 750975 758565 790965 796025 807975 811053 821655 830025 859707 870945 889675 896427 908145 915705 927675 931209 960849 983325 987071 1001889 1029231 1051365 1061991 1067175 1103197 1114435 1150317 1167615 1177335 1192725 1219323 1225275 1245545 1264275 1318275 1323297 1351755 1365417 1369425 1432845 1451575 1478979 1494045 1513575 1526175 1552015 1567701 1601415 1634661 1648269 1669815 1715385 1752275 1769985 1799953 1814937 1892457 1917195 1920915 1946025 1962225 2005983 2032205 2146905 2168775 2172821 2205495 2241981 2252925 2275695 2388075 2423925 2433159 2464965 2490075 2579121 2612835 2669025 2689281 2724435 2747115 2783025 2793627 2858975 2882547 2949975 2961213 3005667 3024895 3087693 3154095 3185973 3195325 3201525 3309591 3343305 3450951 3502845 3508129 3578175 3657969 3675825 3736635 3792825 3954825 3969891 4055265 4108275 4234853 4298535 4354725 4436937 4482135 4540725 4578525 4656045 4703103 4804245 4903983 4935355 5009445 5146155 5256825 5309955 5399859 5444811 5515985 5572175 5677371 5751585 5838075 5886675 6017949 6096615 6227725 6518463 6616485 6725943 6758775 6827085 6909497 7164225 7299477 7394895 7470225 7722379 7737363 7760075 7838505 8007075 8173305 8241345 8349075 8380881 8576925 8647641 8849925 8883639 8999765 9074685 9263079 9462285 9557919 9585975 9604575 9928773 10029915 10161025 10352853 10524387 10734525 10864105 10973907 11027475 11209905 11378475 11909673 12165795 12324825 12599671 12704559 12895605 13064175 13310811 13446405 13622175 13735575 13968135 14109309 14412735 14806065 15028335 15124475 15438465 15770475 15929865 16199577 16334433 16547955 16716525 17032113 17254755 17514225 17540645 18053847 18289845 18683175 18754349 19555389 19849455 20177829 20276325 20728491 21174265 21492675 22184685 22410675 23167137 23212089 23280225 23515515 24021225 24519915 24556903 24676775 25047225 25142643 25730775 25942923 26549775 26650917 26999295 27224055 27579925 27789237 28386855 28757925 29786319 30089745 30483075 30599201 31058559 31573161 32592315 32921721 33082425 33629715 34135425 34199107 34547485 36497385 36974475 37799013 38113677 38611895 38686815 39192525 40866525 41206725 41904405 42327927 43238205 44418195 44998825 45373425 46315395 47311425 47789595 48598731 49003299 49643865 50149575 51096339 51764265 52621935 54161541 54320525 54869535 56049525 56263047 58666167 59548365 59638193 60533487 60828975 62185473 62998355 63522795 64478025 66554055 66654451 67232025 69501411 69840675 70546545 72063675 73670709 74030325 75141675 75427929 77192325 79649325 79952751 80997885 81672165 82739775 83367711 85160565 86273775 87703225 89358957 90269235 91449225 91797603 93175677 93771745 94719483 97776945 98765163 99247275 100889145 102597321 103642455 105871325 108751999 110923425 113397039 114341031 115835685 116060445 117577575 122599575 122784515 125713215 129714615 131280443 133254585 134996475 136120275 138946185 141934275 145796193 147009897 148931595 150448725 152996005 155292795 157865805 162484623 162961575 164608605 168148575 168789141 170995535 172737425 175998501 178914579 181600461 182486925 186556419 188995065 190568385 193059475 193434075 199963353 208504233 209522025 211639635 214194407 216191025 221012127 222090975 226283787 231576975 238947975 239393749 239858253 242993655 245016495 248219325 255481695 258821325 263109675 268076871 270807705 274347675 275392809 281315235 284158449 293330835 296295489 297741825 298190965 302667435 307791963 310927365 314991775 317613975 326255997 332770275 333272255 340191117 343023093 347507055 352732725 368353545 377139645 393841329 399763755 404989425 408360825 416838555 417467351 425802825 437388579 441029691 446794785 451346175 458988015 465878385 466581157 468858725 473597415 488884725 493825815 504445725 506367423 512986605 518212275 527995503 536743737 543759995 559669257 566985195 571705155 579178425 580302225 581384819 599890059 613922575 625512699 628566075 642583221 648573075 656402215 663036381 666272925 694730925 718181247 719574759 728980965 735049485 744657975 761263993 764980025 776463975 789329025 804230613 812423115 823043025 826178427 843945705 852475347 854977675 879992505 894572895 908002305 923375889 932782095 944975325 952841925 978767991 999816765 1020573351 1029069279 1042521165 1058198175 1070972035 1105060635 1131418935 1133125667 1181523987 1196968745 1199291265 1214968275 1225082475 1252402053 1277408475 1312165737 1340384355 1354038525 1376964045 1399743471 1406576175 1420792245 1466654175 1481477445 1490954825 1513337175 1519102269 1538959815 1554636825 1583986509 1610231211 1631279985 1666361275 1679007771 1700955585 1715115465 1737535275 1744154457 1799670177 1841767725 1848783983 1876538097 1885698225 1927749663 1969206645 1989109143 1998818775 2066287981 2084192775 2087336755 2154543741 2186942895 2205148455 2233973925 2283791979 2294940075 2329391925 2332905785 2367987075 2469129075 2478535281 2531837115 2557426041 2564933025 2639977515 2683718685 2718799975 2770127667 2798346285 2834925975 2858525775 2906924095 2936303973 2999450295 3061720053 3087207837 3127563495 3212916105 3282011075 3315181905 3371311969 3399377001 3544571961 3590906235 3597873795 3644904825 3675247425 3757206159 3806319965 4021153065 4062115575 4069693733 4130892135 4199230413 4219728525 4262376735 4399962525 4472864475 4540011525 4557306807 4616879445 4663910475 4830693633 4893839955 4999083825 5037023313 5102866755 5145346395 5212605825 5232463371 5354860175 5399010531 5525303175 5546351949 5629614291 5657094675 5665628335 5783248989 5907619935 5967327429 5984843725 5996456325 6198863943 6262010265 6463631223 6560828685 6701921775 6851375937 6884820225 6998717355 7103961225 7407387225 7435605843 7595511345 7694799075 7919932545 7931879669 8051156055 8156399925 8310383001 8395038855 8504777925 8575577325 8720772285 8808911919 8998350885 9185160159 9243919915 9382690485 9638748315 9846033225 9945545715 10113935907 10198131003 10331439905 10436683775 10633715883 10772718705 10934714475 11025742275 11271618477 11418959895 11664528925 12209081199 12392676405 12597691239 12659185575 12787130205 12941487881 13199887575 13418593425 13671920421 13850638335 13991731425 14464015867 14492080899 14534620475 14681519865 14997251475 15308600265 15436039185 15637817475 15697390113 16064580525 16197031593 16575909525 16639055847 16856559845 16996885005 17349746967 17722859805 17901982287 17954531175 17989368975 18596591829 18786030795 19031599825 19390893669 20105765325 20348468665 20554127811 20654460675 20996152065 21311883675 22306817529 22786534035 23084397225 23599183783 23795639007 24153468165 24469199775 24931149003 25185116565 25514333775 25726731975 26162316855 26426735757 26995052655 27731759745 28148071455 28328141675 28916244945 29538099675 29836637145 30341807721 30594393009 30994319715 31310051325 31901147649 32318156115 32804143425 33814855431 34256879685 34993586775 35126895677 36627243597 37178029215 37793073717 37977556725 38824463643 39599662725 39659398345 40255780275 41551915005 41975194275 43392047601 43476242697 43603861425 44044559595 44991754425 45925800795 46219599575 46913452425 47092170339 48193741575 48591094779 49727728575 49917167541 50569679535 50990655015 51657199525 52049240901 53168579415 53863593525 55789775487 56358092385 57094799475 57312303473 58172681007 61045405995 61662383433 61963382025 62988456195 63935651025 64054927411 64707439405 68359602105 69253191675 70797551349 71386917021 72320079335 72460404495 73407599325 76543001325 77180195925 78486950565 79280207271 80985157965 83195279235 84282799225 84984425025 86748734835 88614299025 89509911435 91025423163 91783179027 92982959145 93930153975 95703442947 96954468345 101444566293 101742343325 102770639055 104980760325 105380687031 109881730791 111534087645 113379221151 113932670175 116473390929 117995918915 118978195035 120767340825 124655745015 125925582825 130176142803 130811584275 132133678785 134975263275 138658798725 140740357275 141276511017 144581224725 149183185725 149751502623 151709038605 152971965045 154971598575 156147722703 159505738245 161590780575 167369326461 169074277155 171284398425 171936910419 174518043021 175634478385 183136217985 184987150299 185890146075 188965368585 192164782233 194122318215 198296991725 207759575025 212392654047 214160751063 216960238005 217381213485 220222797975 229629003975 235460851695 242955473895 245888269739 249585837705 252848397675 254953275075 260246204505 265842897075 273076269489 275349537081 278948877435 281790461925 286561517365 290863405035 304333698879 305227029975 308311917165 314942280975 316142061093 320274637055 323537197025 329645192373 340137663453 341798010525 349420172787 353987756745 356934585105 361600396675 362302022475 390528428409 392434752825 396401036355 401186124311 404925789825 415976396175 423829533051 433743674175 447549557175 448384491877 449254507869 455127115815 458915895135 464914795725 478517214735 484772341725 502107979383 507222831465 513853195275 515810731257 526903435155 549408653955 554961450897 557670438225 566896105755 576494346699 582366954645 589979594575 594890975175 623278725075 637177962141 642482253189 650880714015 660668393925 706382555085 737664809217 748757513115 758545193025 764859825225 780738613515 797528691225 819228808467 826048611243 836846632305 845371385775 859684552095 872590215105 878172391925 915681089925 924935751495 944826842925 948426183279 960823911165 970611591075 988935577119 1048260518361 1061963270235 1070803755315 1084801190025 1086906067425 1088933765987 1171585285227 1177304258475 1203558372933 1214777369475 1229441348695 1247929188525 1301231022525 1345153475631 1347763523607 1365381347445 1376747685405 1394744387175 1432807586825 1454317025175 1506323938149 1521668494395 1541559585825 1547432193771 1580710305465 1601373185275 1648225961865 1700688317265 1729483040097 1747100863935 1769938783725 1784672925525 1911533886423 1927446759567 1952642142045 1982005181775 2005930621555 2119147665255 2212994427651 2241922459385 2246272539345 2275635579075 2294579475675 2392586073675 2457686425401 2510539896915 2536114157325 2579053656285 2634517175775 2747043269775 2774807254485 2834480528775 2845278549837 2882471733495 2911834773225 2966806731357 3144781555083 3185889810705 3212411265945 3254403570075 3266801297961 3514755855681 3531912775425 3610675118799 3688324046085 3743787565575 3903693067575 4035460426893 4096144042335 4130243056215 4184233161525 4298422760475 4362951075525 4624678757475 4642296581313 4742130916395 4804119555825 4944677885595 5188449120291 5241302591805 5309816351175 5354018776575 5444668829935 5734601659269 5782340278701 5857926426135 6017791864665 6147206743475 6638983282953 6725767378155 6738817618035 6826906737225 6883738427025 7531619690745 7608342471975 7622536361909 7737160968855 7903551527325 8241129809325 8503441586325 8535835649511 8647415200485 8735504319675 9434344665249 9557669432115 9637233797835 9763210710225 9800403893883 10029653107775 10544267567043 10595738326275 10832025356397 11064972138255 11209612296925 11231362696725 12106381280679 12288432127005 12552699484575 12895268281425 13874036272425 13926889743939 14226392749185 14412358667475 14834033656785 15565347360873 15723907775415 15929449053525 16062056329725 16334006489805 17203804977807 17573779278405 18053375593995 18441620230425 19916949848859 20177302134465 20480720211675 20651215281075 22867609085727 23211482906565 23710654581975 24723389427975 25607506948533 25942245601455 26206512959025 27223344149675 28673008296345 28911701393505 29289632130675 29401211681649 30088959323325 32496076069191 33194916414765 33628836890775 33694088090175 36319143842037 37658098453725 38112681809545 38685804844275 41780669231817 42679178247555 43237076002425 46696042082619 47171723326245 47788347160575 48186168989175 49002019469415 52721337835215 54160126781985 55324860691275 59750849546577 60531906403395 61442160635025 68602827257181 69634448719695 71131963745925 74170168283925 77826736804365 78619538877075 81670032449025 86019024889035 87868896392025 88203635044947 90266877969975 97488228207573 99584749244295 100886510672325 108957431526111 114338045428635 116057414532825 128037534742665 129711228007275 143365041481725 144558506967525 147006058408245 162480380345955 165974582073825 179252548639731 181595719210185 190563409047725 205808481771543 208903346159085 213395891237775 233480210413095 235858616631225 245010097347075 263606689176075 264610905134841 270800633909925 292464684622719 298754247732885 302659532016975 326872294578333 343014136285905 348172243598475 389133684021825 430095124445175 441018175224735 487441141037865 497923746221475 544787157630555 571690227143175 617425445314629 640187673713325 735030292041225 793832715404523 812401901729775 896262743198655 907978596050925 1029042408857715 1044516730795425 1167401052065475 1323054525674205 1462323423113595 1493771238664425 1634361472891665 1715070681429525 1852276335943887 2205090876123675 2437205705189325 2723935788152775 3087127226573145 3969163577022615 4481313715993275 5145212044288575 5556829007831661 6615272628371025 7311617115567975 8171807364458325 9261381679719435 15435636132865725 19845817885113075 27784145039158305 46306908398597175 138920725195791525
- Sum of all divisors σ(n): 340119145807076160
- Sum of proper divisors (its aliquot sum) s(n): 201198420611284635
- 138920725195791525 is an abundant number, because the sum of its proper divisors (201198420611284635) is greater than itself. Its abundance is 62277695415493110
Bases of 138920725195791525
- Binary: 1111011011000101110101001110111010011110000011100101001012
- Hexadecimal: 0x1ED8BA9DD3C1CA5
- Base-36: 11ZVAC4AQPB9
Squares and roots of 138920725195791525
- 138920725195791525 squared (1389207251957915252) is 19298967888924626242045571261825625
- 138920725195791525 cubed (1389207251957915253) is 2681026614659702901797579424717102165427138402828125
-
The
square root of 138920725195791525 is 372720706.6904004529 -
The
cube root of 138920725195791525 is 517911.6504257357
Scales and comparisons
How big is 138920725195791525?- 138,920,725,195,791,525 seconds is equal to 4,417,249,351 years, 10 weeks, 6 days, 4 hours, 18 minutes, 45 seconds.
-
To count from 1 to 138,920,725,195,791,525 would take you about thirteen billion, two hundred fifty-one million, seven hundred forty-eight thousand and fifty-three 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 138920725195791525 cubic inches would be around 43159.3 feet tall.
Recreational maths with 138920725195791525
- 138920725195791525 backwards is 525197591527029831
- 138920725195791525 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138920725195791525's digits is 81
- More coming soon!
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"Number 138920725195791525 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
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Numbermatics. (2024). Number 138920725195791525 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/138920725195791525/
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Numbermatics. 2024. "Number 138920725195791525 - Facts about the integer". https://numbermatics.com/n/138920725195791525/
The information we have on file for 138920725195791525 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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