138327047788030080
138,327,047,788,030,080 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138327047788030080 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
138327047788030080 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138327047788030080:
27 × 3 × 5 × 72 × 53 × 1867 × 14859001
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 53 × 1867 × 14859001)See below for interesting mathematical facts about the number 138327047788030080 from the Numbermatics database.
Names of 138327047788030080
- Cardinal: 138327047788030080 can be written as One hundred thirty-eight quadrillion, three hundred twenty-seven trillion, forty-seven billion, seven hundred eighty-eight million, thirty thousand and eighty.
Scientific notation
- Scientific notation: 1.3832704778803008 × 1017
Factors of 138327047788030080
Divisors of 138327047788030080
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 53 56 60 64 70 80 84 96 98 105 106 112 120 128 140 147 159 160 168 192 196 210 212 224 240 245 265 280 294 318 320 336 371 384 392 420 424 448 480 490 530 560 588 636 640 672 735 742 784 795 840 848 896 960 980 1060 1113 1120 1176 1272 1344 1470 1484 1568 1590 1680 1696 1855 1867 1920 1960 2120 2226 2240 2352 2544 2597 2688 2940 2968 3136 3180 3360 3392 3710 3734 3920 4240 4452 4480 4704 5088 5194 5565 5601 5880 5936 6272 6360 6720 6784 7420 7468 7791 7840 8480 8904 9335 9408 10176 10388 11130 11202 11760 11872 12720 12985 13069 13440 14840 14936 15582 15680 16960 17808 18670 18816 20352 20776 22260 22404 23520 23744 25440 25970 26138 28005 29680 29872 31164 31360 33920 35616 37340 38955 39207 41552 44520 44808 47040 47488 50880 51940 52276 56010 59360 59744 62328 65345 71232 74680 77910 78414 83104 89040 89616 91483 94080 98951 101760 103880 104552 112020 118720 119488 124656 130690 142464 149360 155820 156828 166208 178080 179232 182966 196035 197902 207760 209104 224040 237440 238976 249312 261380 274449 296853 298720 311640 313656 332416 356160 358464 365932 392070 395804 415520 418208 448080 457415 494755 498624 522760 548898 593706 597440 623280 627312 692657 712320 716928 731864 784140 791608 831040 836416 896160 914830 989510 997248 1045520 1097796 1187412 1194880 1246560 1254624 1372245 1385314 1463728 1484265 1568280 1583216 1662080 1672832 1792320 1829660 1979020 2077971 2091040 2195592 2374824 2493120 2509248 2744490 2770628 2927456 2968530 3136560 3166432 3463285 3584640 3659320 3958040 4155942 4182080 4391184 4749648 4848599 4986240 5018496 5488980 5541256 5854912 5937060 6273120 6332864 6926570 7318640 7916080 8311884 8364160 8782368 9499296 9697198 10389855 10977960 11082512 11709824 11874120 12546240 12665728 13853140 14545797 14637280 14859001 15832160 16623768 17564736 18998592 19394396 20779710 21955920 22165024 23748240 24242995 25092480 27706280 29091594 29274560 29718002 31664320 33247536 35129472 37997184 38788792 41559420 43911840 44330048 44577003 47496480 48485990 55412560 58183188 58549120 59436004 63328640 66495072 72728985 74295005 77577584 83118840 87823680 88660096 89154006 94992960 96971980 104013007 110825120 116366376 118872008 132990144 145457970 148590010 155155168 166237680 175647360 178308012 189985920 193943960 208026014 221650240 222885015 232732752 237744016 265980288 290915940 297180020 310310336 312039021 332475360 356616024 387887920 416052028 443300480 445770030 465465504 475488032 520065035 581831880 594360040 620620672 624078042 664950720 713232048 728091049 775775840 787527053 832104056 891540060 930931008 950976064 1040130070 1163663760 1188720080 1248156084 1329901440 1426464096 1456182098 1551551680 1560195105 1575054106 1664208112 1783080120 1861862016 1901952128 2080260140 2184273147 2327327520 2362581159 2377440160 2496312168 2852928192 2912364196 3103103360 3120390210 3150108212 3328416224 3566160240 3640455245 3937635265 4160520280 4368546294 4654655040 4725162318 4754880320 4992624336 5512689371 5705856384 5824728392 6240780420 6300216424 6656832448 7132320480 7280910490 7875270530 8321040560 8737092588 9309310080 9450324636 9509760640 9985248672 10921365735 11025378742 11649456784 11812905795 12481560840 12600432848 13313664896 14264640960 14561820980 15750541060 16538068113 16642081120 17474185176 18900649272 19970497344 21842731470 22050757484 23298913568 23625811590 24963121680 25200865696 27563446855 27741754867 28529281920 29123641960 31501082120 33076136226 33284162240 34948370352 37801298544 38588825597 39940994688 43685462940 44101514968 46597827136 47251623180 49926243360 50401731392 55126893710 55483509734 58247283920 63002164240 66152272452 66568324480 69896740704 75602597088 77177651194 82690340565 83225264601 87370925880 88203029936 93195654272 94503246360 99852486720 100803462784 110253787420 110967019468 115766476791 116494567840 126004328480 132304544904 138708774335 139793481408 151205194176 154355302388 165380681130 166450529202 174741851760 176406059872 189006492720 192944127985 194192284069 199704973440 220507574840 221934038936 231532953582 232989135680 252008656960 264609089808 277417548670 279586962816 302410388352 308710604776 330761362260 332901058404 349483703520 352812119744 378012985440 385888255970 388384568138 416126323005 441015149680 443868077872 463065907164 465978271360 504017313920 529218179616 554835097340 578832383955 582576852207 617421209552 661522724520 665802116808 698967407040 705624239488 756025970880 771776511940 776769136276 832252646010 882030299360 887736155744 926131814328 970961420345 1058436359232 1109670194680 1157664767910 1165153704414 1234842419104 1323045449040 1331604233616 1359345988483 1397934814080 1470313007951 1512051941760 1543553023880 1553538272552 1664505292020 1764060598720 1775472311488 1852263628656 1941922840690 2116872718464 2219340389360 2315329535820 2330307408828 2469684838208 2646090898080 2663208467232 2718691976966 2912884261035 2940626015902 3087106047760 3107076545104 3329010584040 3528121197440 3550944622976 3704527257312 3883845681380 4078037965449 4410939023853 4438680778720 4630659071640 4660614817656 4939369676416 5292181796160 5326416934464 5437383953932 5825768522070 5881252031804 6174212095520 6214153090208 6658021168080 6796729942415 7351565039755 7409054514624 7767691362760 8156075930898 8821878047706 8877361557440 9261318143280 9321229635312 10292191055657 10584363592320 10652833868928 10874767907864 11651537044140 11762504063608 12348424191040 12428306180416 13316042336160 13593459884830 14703130079510 14818109029248 15535382725520 16312151861796 17643756095412 17754723114880 18522636286560 18642459270624 20390189827245 20584382111314 21749535815728 22054695119265 23303074088280 23525008127216 24696848382080 24856612360832 26632084672320 27186919769660 29406260159020 30876573166971 31070765451040 32624303723592 35287512190824 37045272573120 37284918541248 40780379654490 41168764222628 43499071631456 44109390238530 46606148176560 47050016254432 51460955278285 53264169344640 54373839539320 58812520318040 61753146333942 62141530902080 65248607447184 70575024381648 72045337389599 74090545146240 74569837082496 81560759308980 82337528445256 86998143262912 88218780477060 93212296353120 94100032508864 102921910556570 108747679078640 117625040636080 123506292667884 124283061804160 130497214894368 141150048763296 144090674779198 154382865834855 163121518617960 164675056890512 173996286525824 176437560954120 186424592706240 188200065017728 205843821113140 216136012168797 217495358157280 235250081272160 247012585335768 260994429788736 282300097526592 288181349558396 308765731669710 326243037235920 329350113781024 352875121908240 360226686947995 372849185412480 411687642226280 432272024337594 434990716314560 470500162544320 494025170671536 521988859577472 564600195053184 576362699116792 617531463339420 652486074471840 658700227562048 705750243816480 720453373895990 823375284452560 864544048675188 869981432629120 941000325088640 988050341343072 1080680060843985 1152725398233584 1235062926678840 1304972148943680 1317400455124096 1411500487632960 1440906747791980 1646750568905120 1729088097350376 1976100682686144 2161360121687970 2305450796467168 2470125853357680 2609944297887360 2823000975265920 2881813495583960 3293501137810240 3458176194700752 3952201365372288 4322720243375940 4610901592934336 4940251706715360 5763626991167920 6587002275620480 6916352389401504 8645440486751880 9221803185868672 9880503413430720 11527253982335840 13832704778803008 17290880973503760 19761006826861440 23054507964671680 27665409557606016 34581761947007520 46109015929343360 69163523894015040 138327047788030080
- Sum of all divisors σ(n): 522861363000696960
- Sum of proper divisors (its aliquot sum) s(n): 384534315212666880
- 138327047788030080 is an abundant number, because the sum of its proper divisors (384534315212666880) is greater than itself. Its abundance is 246207267424636800
Bases of 138327047788030080
- Binary: 1111010110110111110110111100100100011101111101000100000002
- Hexadecimal: 0x1EB6FB7923BE880
- Base-36: 11U0UGHEGGAO
Squares and roots of 138327047788030080
- 138327047788030080 squared (1383270477880300802) is 19134372149751957448138926984806400
- 138327047788030080 cubed (1383270477880300803) is 2646801210752690872189520423570397661651946176512000
-
The
square root of 138327047788030080 is 371923443.4504365577 -
The
cube root of 138327047788030080 is 517172.8322190383
Scales and comparisons
How big is 138327047788030080?- 138,327,047,788,030,080 seconds is equal to 4,398,372,246 years, 2 days, 15 hours, 28 minutes.
-
To count from 1 to 138,327,047,788,030,080 would take you about thirteen billion, one hundred ninety-five million, one hundred sixteen thousand, seven hundred thirty-eight 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 138327047788030080 cubic inches would be around 43097.7 feet tall.
Recreational maths with 138327047788030080
- 138327047788030080 backwards is 080030887740723831
- The number of decimal digits it has is: 18
- The sum of 138327047788030080's digits is 69
- More coming soon!
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The information we have on file for 138327047788030080 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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