138638657551360000
138,638,657,551,360,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138638657551360000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1680 divisors.
138638657551360000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 138638657551360000:
213 × 54 × 172 × 29 × 79 × 40897
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 17 × 17 × 29 × 79 × 40897)See below for interesting mathematical facts about the number 138638657551360000 from the Numbermatics database.
Names of 138638657551360000
- Cardinal: 138638657551360000 can be written as One hundred thirty-eight quadrillion, six hundred thirty-eight trillion, six hundred fifty-seven billion, five hundred fifty-one million, three hundred sixty thousand.
Scientific notation
- Scientific notation: 1.3863865755136 × 1017
Factors of 138638657551360000
Divisors of 138638657551360000
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 29 32 34 40 50 58 64 68 79 80 85 100 116 125 128 136 145 158 160 170 200 232 250 256 272 289 290 316 320 340 395 400 425 464 493 500 512 544 578 580 625 632 640 680 725 790 800 850 928 986 1000 1024 1088 1156 1160 1250 1264 1280 1343 1360 1445 1450 1580 1600 1700 1856 1972 1975 2000 2048 2125 2176 2291 2312 2320 2465 2500 2528 2560 2686 2720 2890 2900 3160 3200 3400 3625 3712 3944 3950 4000 4096 4250 4352 4582 4624 4640 4930 5000 5056 5120 5372 5440 5780 5800 6320 6400 6715 6800 7225 7250 7424 7888 7900 8000 8192 8381 8500 8704 9164 9248 9280 9860 9875 10000 10112 10240 10625 10744 10880 11455 11560 11600 12325 12640 12800 13430 13600 14450 14500 14848 15776 15800 16000 16762 17000 17408 18125 18328 18496 18560 19720 19750 20000 20224 20480 21250 21488 21760 22831 22910 23120 23200 24650 25280 25600 26860 27200 28900 29000 29696 31552 31600 32000 33524 33575 34000 34816 36125 36250 36656 36992 37120 38947 39440 39500 40000 40448 40897 40960 41905 42500 42976 43520 45662 45820 46240 46400 49300 49375 50560 51200 53720 54400 57275 57800 58000 59392 61625 63104 63200 64000 67048 67150 68000 69632 72250 72500 73312 73984 74240 77894 78880 79000 80000 80896 81794 83810 85000 85952 87040 91324 91640 92480 92800 98600 98750 101120 102400 107440 108800 114155 114550 115600 116000 118784 123250 126208 126400 128000 134096 134300 136000 139264 144500 145000 146624 147968 148480 155788 157760 158000 160000 161792 163588 167620 167875 170000 171904 174080 180625 182648 183280 184960 185600 194735 197200 197500 202240 204485 204800 209525 214880 217600 228310 229100 231200 232000 237568 246500 252416 252800 256000 268192 268600 272000 286375 289000 290000 293248 295936 296960 308125 311576 315520 316000 320000 323584 327176 335240 335750 340000 343808 348160 361250 365296 366560 369920 371200 389470 394400 395000 404480 408970 419050 429760 435200 456620 458200 462400 464000 493000 504832 505600 512000 536384 537200 544000 570775 572750 578000 580000 586496 591872 593920 616250 623152 631040 632000 640000 647168 654352 662099 670480 671500 680000 687616 695249 696320 722500 730592 733120 739840 742400 778940 788800 790000 808960 817940 838100 839375 859520 870400 913240 916400 924800 928000 973675 986000 1009664 1011200 1022425 1024000 1047625 1072768 1074400 1088000 1141550 1145500 1156000 1160000 1172992 1183744 1186013 1187840 1232500 1246304 1262080 1264000 1280000 1308704 1324198 1340960 1343000 1360000 1375232 1390498 1431875 1445000 1461184 1466240 1479680 1484800 1557880 1577600 1580000 1617920 1635880 1676200 1678750 1719040 1740800 1826480 1832800 1849600 1856000 1947350 1972000 2019328 2022400 2044850 2095250 2145536 2148800 2176000 2283100 2291000 2312000 2320000 2345984 2367488 2372026 2465000 2492608 2524160 2528000 2560000 2617408 2648396 2681920 2686000 2720000 2750464 2780996 2853875 2863750 2890000 2922368 2932480 2959360 2969600 3115760 3155200 3160000 3230863 3235840 3271760 3310495 3352400 3357500 3438080 3476245 3481600 3652960 3665600 3699200 3712000 3894700 3944000 4038656 4044800 4089700 4190500 4291072 4297600 4352000 4566200 4582000 4624000 4640000 4691968 4744052 4868375 4930000 4985216 5048320 5056000 5112125 5120000 5234816 5238125 5296792 5363840 5372000 5440000 5500928 5561992 5707750 5727500 5780000 5844736 5864960 5918720 5930065 5939200 6231520 6310400 6320000 6461726 6543520 6620990 6704800 6715000 6876160 6952490 7305920 7331200 7398400 7424000 7789400 7888000 8089600 8179400 8381000 8582144 8595200 8704000 9132400 9164000 9248000 9280000 9383936 9488104 9736750 9860000 9970432 10096640 10112000 10224250 10469632 10476250 10593584 10727680 10744000 10880000 11001856 11123984 11415500 11455000 11560000 11689472 11729920 11819233 11837440 11860130 12463040 12620800 12640000 12923452 13087040 13241980 13409600 13430000 13752320 13904980 14269375 14611840 14662400 14796800 14848000 15578800 15776000 16154315 16179200 16358800 16552475 16762000 17164288 17190400 17381225 17408000 18264800 18328000 18496000 18560000 18767872 18976208 19473500 19720000 19940864 20162221 20193280 20224000 20448500 20939264 20952500 21187168 21455360 21488000 21760000 22247968 22831000 22910000 23120000 23378944 23459840 23638466 23720260 24341875 24926080 25241600 25280000 25560625 25846904 26174080 26483960 26819200 26860000 27504640 27809960 28538750 29223680 29324800 29593600 29650325 29696000 31157600 31552000 32308630 32717600 33104950 33524000 34328576 34380800 34762450 36529600 36656000 36992000 37120000 37952416 38947000 39440000 39881728 40324442 40448000 40897000 41878528 41905000 42374336 42910720 42976000 43520000 44495936 45662000 45820000 46240000 46757888 46919680 47276932 47440520 48683750 49852160 50483200 50560000 51121250 51693808 52348160 52967920 53638400 53720000 54924671 55009280 55619920 57077500 58447360 58649600 59096165 59187200 59300650 62315200 63104000 64617260 65435200 66209900 67048000 68657152 68761600 69524900 73059200 73312000 73984000 74240000 75904832 77894000 78880000 79763456 80648884 80771575 80896000 81794000 82762375 83757056 83810000 84748672 85821440 85952000 86906125 87040000 88991872 91324000 91640000 92480000 93515776 93695027 93839360 94553864 94881040 97367500 99704320 100811105 100966400 101120000 102242500 103387616 104696320 105935840 107276800 107440000 109849342 111239840 114155000 116894720 117299200 118192330 118601300 124630400 126208000 129234520 130870400 132419800 134096000 137523200 139049800 146118400 146624000 147968000 148251625 148480000 151809664 155788000 157760000 159526912 161297768 161543150 163588000 165524750 167514112 167620000 169497344 171642880 171904000 173812250 177983744 182648000 183280000 184960000 187031552 187390054 189107728 189762080 194735000 199408640 201622210 202240000 204485000 206775232 209392640 211871680 214553600 214880000 219698684 222479680 228310000 233789440 234598400 236384660 237202600 249260800 252416000 258469040 261740800 264839600 268192000 274623355 275046400 278099600 292236800 293248000 295480825 295936000 296503250 303619328 311576000 315520000 319053824 322595536 323086300 327176000 331049500 335028224 335240000 338994688 342757757 343285760 343808000 347624500 355967488 365296000 366560000 369920000 374780108 378215456 379524160 389470000 398817280 403244420 403857875 404480000 408970000 413550464 413811875 418785280 423743360 429107200 429760000 434530625 439397368 444959360 456620000 467578880 468475135 469196800 472769320 474405200 498521600 504055525 504832000 516938080 523481600 529679200 536384000 549246710 556199200 584473600 586496000 590961650 593006500 607238656 623152000 631040000 645191072 646172600 654352000 662099000 670480000 677989376 685515514 687616000 695249000 711934976 730592000 733120000 739840000 741258125 749560216 756430912 759048320 778940000 797634560 806488840 807715750 817940000 827100928 827623750 837570560 847486720 858214400 859520000 869061250 878794736 889918720 913240000 933719407 935157760 936950270 945538640 948810400 997043200 1008111050 1033876160 1046963200 1059358400 1072768000 1098493420 1112398400 1168947200 1172992000 1181923300 1186013000 1214477312 1246304000 1262080000 1290382144 1292345200 1308704000 1324198000 1340960000 1355978752 1371031028 1373116775 1375232000 1390498000 1423869952 1461184000 1466240000 1477404125 1479680000 1482516250 1499120432 1512861824 1518096640 1557880000 1592815459 1595269120 1612977680 1615431500 1635880000 1654201856 1655247500 1675141120 1694973440 1713788785 1716428800 1719040000 1738122500 1757589472 1779837440 1826480000 1867438814 1873900540 1891077280 1897620800 1994086400 2016222100 2019289375 2067752320 2093926400 2118716800 2145536000 2196986840 2224796800 2337894400 2342375675 2345984000 2363846600 2372026000 2428954624 2492608000 2520277625 2524160000 2580764288 2584690400 2617408000 2648396000 2681920000 2711957504 2742062056 2746233550 2780996000 2847739904 2922368000 2932480000 2954808250 2965032500 2998240864 3025723648 3036193280 3115760000 3185630918 3225955360 3230863000 3271760000 3308403712 3310495000 3389946880 3427577570 3438080000 3476245000 3515178944 3559674880 3652960000 3734877628 3747801080 3782154560 3795241600 3988172800 4032444200 4038578750 4135504640 4187852800 4237433600 4291072000 4393973680 4449593600 4668597035 4675788800 4684751350 4727693200 4744052000 4857909248 4985216000 5040555250 5161528576 5169380800 5234816000 5296792000 5363840000 5423915008 5484124112 5492467100 5561992000 5695479808 5844736000 5864960000 5909616500 5930065000 5996481728 6051447296 6072386560 6231520000 6371261836 6451910720 6461726000 6543520000 6616807424 6620990000 6779893760 6855155140 6865583875 6876160000 6952490000 7030357888 7119349760 7305920000 7387020625 7469755256 7495602160 7564309120 7590483200 7964077295 7976345600 8064888400 8077157500 8271009280 8375705600 8474867200 8568943925 8582144000 8787947360 8899187200 9337194070 9369502700 9455386400 9488104000 9715818496 9970432000 10081110500 10323057152 10338761600 10469632000 10593584000 10727680000 10968248224 10984934200 11123984000 11689472000 11711878375 11729920000 11819233000 11860130000 11992963456 12102894592 12144773120 12463040000 12601388125 12742523672 12903821440 12923452000 13087040000 13233614848 13241980000 13559787520 13710310280 13731167750 13904980000 14060715776 14238699520 14611840000 14774041250 14939510512 14991204320 15128618240 15180966400 15928154590 16129776800 16154315000 16542018560 16949734400 17137887850 17575894720 17798374400 18674388140 18739005400 18910772800 18976208000 19940864000 20162221000 20646114304 20677523200 20939264000 21187168000 21455360000 21936496448 21969868400 22247968000 23342985175 23378944000 23423756750 23638466000 23720260000 23985926912 24205789184 24289546240 24926080000 25202776250 25485047344 25807642880 25846904000 26174080000 26467229696 26483960000 27077862803 27119575040 27420620560 27462335500 27809960000 28121431552 28477399040 29223680000 29548082500 29879021024 29982408640 30257236480 30361932800 31856309180 32259553600 32308630000 33084037120 33899468800 34275775700 34327919375 35151789440 35596748800 37348776280 37478010800 37821545600 37952416000 39820386475 39881728000 40324442000 41292228608 41355046400 41878528000 42374336000 42844719625 42910720000 43872992896 43939736800 44495936000 46685970350 46847513500 47276932000 47440520000 47971853824 48411578368 48579092480 49852160000 50405552500 50970094688 51615285760 51693808000 52348160000 52967920000 54155725606 54841241120 54924671000 55619920000 56242863104 58447360000 58559391875 59096165000 59758042048 59964817280 60514472960 60723865600 63712618360 64519107200 64617260000 66168074240 67798937600 68551551400 68655838750 70303578880 71193497600 74697552560 74956021600 75643091200 75904832000 79640772950 80648884000 82584457216 82710092800 84748672000 85689439250 87745985792 87879473600 88991872000 93371940700 93695027000 94553864000 94881040000 95943707648 96823156736 99704320000 100811105000 101940189376 103230571520 103387616000 104696320000 105935840000 108311451212 109682482240 109849342000 111239840000 112485726208 116714925875 116894720000 117118783750 118192330000 119516084096 119929634560 121028945920 121447731200 127425236720 129038214400 129234520000 132336148480 135389314015 135597875200 137103102800 137311677500 140607157760 142386995200 149395105120 149912043200 151286182400 151809664000 159281545900 161297768000 165168914432 165420185600 169497344000 171378878500 175491971584 175758947200 177983744000 186743881400 187390054000 189107728000 189762080000 191887415296 199101932375 199408640000 201622210000 203880378752 206461143040 206775232000 209392640000 211871680000 214223598125 216622902424 219364964480 219698684000 222479680000 224971452416 233429851750 234237567500 236384660000 239032168192 239859269120 242057891840 242895462400 254850473440 258076428800 258469040000 270778628030 274206205600 274623355000 281214315520 298790210240 299824086400 302572364800 303619328000 318563091800 322595536000 330840371200 338994688000 342757757000 350983943168 351517894400 355967488000 373487762800 374780108000 378215456000 379524160000 383774830592 398203864750 403244420000 407760757504 412922286080 413550464000 423743360000 428447196250 433245804848 438729928960 439397368000 444959360000 449942904832 466859703500 468475135000 472769320000 478064336384 479718538240 484115783680 509700946880 516152857600 516938080000 541557256060 548412411200 549246710000 562428631040 583574629375 597580420480 599648172800 605144729600 607238656000 637126183600 645191072000 661680742400 676946570075 677989376000 685515514000 701967886336 703035788800 711934976000 746975525600 749560216000 756430912000 759048320000 767549661184 796407729500 806488840000 815521515008 825844572160 827100928000 847486720000 856894392500 866491609696 877459857920 878794736000 889918720000 933719407000 936950270000 945538640000 956128672768 959437076480 995509661875 1019401893760 1032305715200 1033876160000 1083114512120 1096824822400 1098493420000 1124857262080 1167149258750 1195160840960 1199296345600 1210289459200 1214477312000 1274252367200 1290382144000 1353893140150 1371031028000 1403935772672 1406071577600 1493951051200 1499120432000 1512861824000 1518096640000 1592815459000 1612977680000 1631043030016 1654201856000 1694973440000 1713788785000 1732983219392 1754919715840 1757589472000 1779837440000 1867438814000 1873900540000 1891077280000 1912257345536 1918874152960 1991019323750 2038803787520 2064611430400 2067752320000 2166229024240 2193649644800 2196986840000 2249714524160 2334298517500 2390321681920 2398592691200 2420578918400 2548504734400 2580764288000 2707786280300 2742062056000 2807871545344 2812143155200 2987902102400 2998240864000 3025723648000 3036193280000 3185630918000 3225955360000 3262086060032 3308403712000 3384732850375 3389946880000 3427577570000 3465966438784 3509839431680 3515178944000 3559674880000 3734877628000 3747801080000 3782154560000 3824514691072 3837748305920 3982038647500 4077607575040 4129222860800 4135504640000 4332458048480 4387299289600 4393973680000 4668597035000 4780643363840 4797185382400 5097009468800 5161528576000 5415572560600 5484124112000 5624286310400 5975804204800 5996481728000 6051447296000 6072386560000 6371261836000 6451910720000 6524172120064 6769465700750 6855155140000 6931932877568 7019678863360 7030357888000 7469755256000 7495602160000 7564309120000 7649029382144 7964077295000 8155215150080 8271009280000 8664916096960 8774598579200 8787947360000 9337194070000 9561286727680 9594370764800 10194018937600 10323057152000 10831145121200 10968248224000 11248572620800 11951608409600 11992963456000 12102894592000 12742523672000 12903821440000 13048344240128 13538931401500 13710310280000 13863865755136 14039357726720 14060715776000 14939510512000 14991204320000 15128618240000 15928154590000 16310430300160 16542018560000 16923664251875 17329832193920 17549197158400 17575894720000 18674388140000 19122573455360 19188741529600 20388037875200 20646114304000 21662290242400 21936496448000 23903216819200 23985926912000 25485047344000 25807642880000 27077862803000 27420620560000 27727731510272 28121431552000 29879021024000 29982408640000 30257236480000 31856309180000 32620860600320 33847328503750 34659664387840 35098394316800 35151789440000 37348776280000 38245146910720 40776075750400 43324580484800 43872992896000 47806433638400 47971853824000 50970094688000 51615285760000 54155725606000 54841241120000 55455463020544 56242863104000 59758042048000 59964817280000 60514472960000 63712618360000 65241721200640 67694657007500 69319328775680 70196788633600 70303578880000 74697552560000 81552151500800 86649160969600 87745985792000 95612867276800 95943707648000 101940189376000 103230571520000 108311451212000 109682482240000 110910926041088 119516084096000 119929634560000 127425236720000 135389314015000 138638657551360 140607157760000 149395105120000 163104303001600 173298321939200 175491971584000 191225734553600 203880378752000 216622902424000 219364964480000 221821852082176 239032168192000 239859269120000 254850473440000 270778628030000 277277315102720 281214315520000 298790210240000 326208606003200 346596643878400 350983943168000 407760757504000 433245804848000 438729928960000 478064336384000 479718538240000 509700946880000 541557256060000 554554630205440 597580420480000 693193287756800 815521515008000 866491609696000 877459857920000 956128672768000 1019401893760000 1083114512120000 1109109260410880 1195160840960000 1386386575513600 1631043030016000 1732983219392000 1754919715840000 2038803787520000 2166229024240000 2390321681920000 2772773151027200 3465966438784000 4077607575040000 4332458048480000 4780643363840000 5545546302054400 6931932877568000 8155215150080000 8664916096960000 13863865755136000 17329832193920000 27727731510272000 34659664387840000 69319328775680000 138638657551360000
- Sum of all divisors σ(n): 385563712126507200
- Sum of proper divisors (its aliquot sum) s(n): 246925054575147200
- 138638657551360000 is an abundant number, because the sum of its proper divisors (246925054575147200) is greater than itself. Its abundance is 108286397023787200
Bases of 138638657551360000
- Binary: 1111011001000101100011111110111110111110001100000000000002
- Hexadecimal: 0x1EC8B1FDF7C6000
- Base-36: 11X3AW160NB4
Squares and roots of 138638657551360000
- 138638657551360000 squared (1386386575513600002) is 19220677367643269151037849600000000
- 138638657551360000 cubed (1386386575513600003) is 2664728907477870763613210503828215955456000000000000
-
The
square root of 138638657551360000 is 372342124.3310512135 -
The
cube root of 138638657551360000 is 517560.8865809317
Scales and comparisons
How big is 138638657551360000?- 138,638,657,551,360,000 seconds is equal to 4,408,280,472 years, 31 weeks, 4 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,638,657,551,360,000 would take you about thirteen billion, two hundred twenty-four million, eight hundred forty-one thousand, four hundred seventeen 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 138638657551360000 cubic inches would be around 43130.1 feet tall.
Recreational maths with 138638657551360000
- 138638657551360000 backwards is 000063155756836831
- The number of decimal digits it has is: 18
- The sum of 138638657551360000's digits is 67
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138638657551360000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 138638657551360000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138638657551360000/
Chicago style:
Numbermatics. 2024. "Number 138638657551360000 - Facts about the integer". https://numbermatics.com/n/138638657551360000/
The information we have on file for 138638657551360000 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!
Keywords: Divisors of 138638657551360000, math, Factors of 138638657551360000, curriculum, school, college, exams, university, Prime factorization of 138638657551360000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, six hundred thirty-eight trillion, six hundred fifty-seven billion, five hundred fifty-one million, three hundred sixty thousand.