138513389433216
138,513,389,433,216 is an even composite number composed of five prime numbers multiplied together.
What does the number 138513389433216 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
138513389433216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138513389433216:
27 × 3 × 76 × 172 × 1032
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 17 × 17 × 103 × 103)See below for interesting mathematical facts about the number 138513389433216 from the Numbermatics database.
Names of 138513389433216
- Cardinal: 138513389433216 can be written as One hundred thirty-eight trillion, five hundred thirteen billion, three hundred eighty-nine million, four hundred thirty-three thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.38513389433216 × 1014
Factors of 138513389433216
Divisors of 138513389433216
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 64 68 84 96 98 102 103 112 119 128 136 147 168 192 196 204 206 224 238 272 289 294 309 336 343 357 384 392 408 412 448 476 544 578 588 618 672 686 714 721 784 816 824 833 867 896 952 1029 1088 1156 1176 1236 1344 1372 1428 1442 1568 1632 1648 1666 1734 1751 1904 2023 2058 2163 2176 2312 2352 2401 2472 2499 2688 2744 2856 2884 3136 3264 3296 3332 3468 3502 3808 4046 4116 4326 4624 4704 4802 4944 4998 5047 5253 5488 5712 5768 5831 6069 6272 6528 6592 6664 6936 7004 7203 7616 8092 8232 8652 9248 9408 9604 9888 9996 10094 10506 10609 10976 11424 11536 11662 12138 12257 13184 13328 13872 14008 14161 14406 15141 15232 16184 16464 16807 17304 17493 18496 18816 19208 19776 19992 20188 21012 21218 21952 22848 23072 23324 24276 24514 26656 27744 28016 28322 28812 29767 30282 31827 32368 32928 33614 34608 34986 35329 36771 36992 38416 39552 39984 40376 40817 42024 42436 42483 43904 45696 46144 46648 48552 49028 50421 53312 55488 56032 56644 57624 59534 60564 63654 64736 65856 67228 69216 69972 70658 73542 74263 76832 79968 80752 81634 84048 84872 84966 85799 89301 92288 93296 97104 98056 99127 100842 105987 106624 110976 112064 113288 115248 117649 119068 121128 122451 127308 129472 131712 134456 138432 139944 141316 147084 148526 153664 159936 161504 163268 168096 169744 169932 171598 178602 180353 186592 194208 196112 198254 201684 208369 211974 222789 224128 226576 230496 235298 238136 242256 244902 247303 254616 257397 258944 268912 276864 279888 282632 285719 294168 297052 297381 307328 319872 323008 326536 336192 339488 339864 343196 352947 357204 360706 373184 388416 392224 396508 403368 416738 423948 445578 453152 460992 470596 476272 484512 489804 494606 509232 514794 519841 537824 541059 559776 565264 571438 588336 594104 594762 600593 625107 646016 653072 672384 678976 679728 686392 693889 705894 714408 721412 741909 746368 776832 784448 793016 806736 833476 847896 857157 891156 906304 921984 941192 952544 969024 979608 989212 1018464 1029588 1039682 1075648 1082118 1119552 1130528 1142876 1176672 1188208 1189524 1201186 1250214 1262471 1306144 1357952 1359456 1372784 1387778 1411788 1428816 1442824 1458583 1483818 1559523 1568896 1586032 1613472 1666952 1695792 1714314 1731121 1782312 1801779 1812608 1882384 1905088 1938048 1959216 1978424 2000033 2036928 2059176 2079364 2081667 2151296 2164236 2239104 2261056 2285752 2353344 2376416 2379048 2402372 2500428 2524942 2612288 2718912 2745568 2775556 2823576 2857632 2885648 2917166 2967636 3066001 3119046 3172064 3226944 3333904 3391584 3428628 3462242 3564624 3603558 3638887 3764768 3787413 3810176 3918432 3956848 4000066 4073856 4118352 4158728 4163334 4204151 4328472 4375749 4522112 4571504 4706688 4752832 4758096 4804744 4857223 5000856 5049884 5193363 5224576 5437824 5491136 5551112 5647152 5715264 5771296 5834332 5935272 6000099 6132002 6238092 6344128 6453888 6667808 6783168 6857256 6924484 7129248 7207116 7277774 7529536 7574826 7836864 7913696 8000132 8236704 8317456 8326668 8408302 8656944 8751498 8837297 9143008 9198003 9505664 9516192 9609488 9714446 10001712 10099768 10210081 10386726 10916661 10982272 11102224 11294304 11430528 11542592 11668664 11870544 12000198 12117847 12264004 12476184 12612453 12688256 13335616 13566336 13714512 13848968 14258496 14414232 14555548 14571669 15059072 15149652 15673728 15827392 16000264 16473408 16634912 16653336 16816604 17313888 17502996 17674594 18286016 18396006 19032384 19218976 19428892 20003424 20199536 20420162 20773452 21462007 21833322 22204448 22588608 23085184 23337328 23741088 24000396 24235694 24528008 24952368 25224906 25472209 26511891 26671232 27429024 27697936 28516992 28828464 29111096 29143338 29429057 30299304 30630243 31654784 32000528 32946816 33269824 33306672 33633208 34000561 34627776 35005992 35349188 36353541 36572032 36792012 38064768 38437952 38857784 40006848 40399072 40840324 41546904 42924014 43666644 44408896 45177216 46674656 47482176 48000792 48471388 49056016 49904736 50449812 50944418 53023782 54858048 55395872 57656928 58222192 58286676 58858114 60598608 61260486 61861079 64001056 64386021 66539648 66613344 67266416 68001122 69255552 70011984 70698376 71470567 72707082 73584024 76416627 76875904 77715568 80013696 80798144 81680648 83093808 85848028 87333288 88287171 88817792 93349312 94964352 96001584 96942776 98112032 99809472 100899624 101888836 102001683 106047564 109716096 110791744 115313856 116444384 116573352 117716228 121197216 122520972 123722158 128002112 128772042 133226688 134532832 136002244 140023968 141396752 142941134 145414164 147168048 150234049 152833254 155431136 161596288 163361296 166187616 171696056 174666576 176574342 178305463 185583237 186698624 192003168 193885552 196224064 199618944 201799248 203777672 204003366 206003399 212095128 214411701 221583488 230627712 232888768 233146704 235432456 242394432 245041944 247444316 256004224 257544084 266453376 269065664 272004488 280047936 282793504 285882268 290828328 294336096 300468098 305666508 310862272 326722592 332375232 343392112 349333152 353148684 356610926 371166474 384006336 387771104 392448128 403598496 407555344 408006732 412006798 424190256 428823402 433027553 450702147 465777536 466293408 470864912 484788864 490083888 494888632 500293969 515088168 534916389 538131328 544008976 560095872 565587008 571764536 581656656 588672192 600936196 611333016 618010197 621724544 653445184 664750464 686784224 698666304 706297368 713221852 742332948 768012672 775542208 807196992 815110688 816013464 824013596 848380512 857646804 866055106 901404294 932586816 941729824 980167776 989777264 1000587938 1030176336 1051638343 1069832778 1088017952 1131174016 1143529072 1163313312 1177344384 1201872392 1222666032 1236020394 1248138241 1299082659 1306890368 1373568448 1397332608 1412594736 1426443704 1484665896 1500881907 1551084416 1614393984 1630221376 1632026928 1648027192 1696761024 1715293608 1732110212 1802808588 1865173632 1883459648 1960335552 1979554528 2001175876 2060352672 2103276686 2139665556 2176035904 2287058144 2326626624 2403744784 2445332064 2472040788 2496276482 2598165318 2747136896 2825189472 2852887408 2969331792 3001763814 3031192871 3154915029 3260442752 3264053856 3296054384 3393522048 3430587216 3464220424 3502057783 3605617176 3744414723 3766919296 3920671104 3959109056 4002351752 4120705344 4206553372 4279331112 4352071808 4574116288 4653253248 4807489568 4890664128 4944081576 4992552964 5196330636 5650378944 5705774816 5938663584 6003527628 6062385742 6309830058 6528107712 6592108768 6861174432 6928440848 7004115566 7211234352 7361468401 7488829446 7918218112 8004703504 8241410688 8413106744 8558662224 9093578613 9148232576 9614979136 9781328256 9888163152 9985105928 10392661272 10506173349 11300757888 11411549632 11877327168 12007055256 12124771484 12619660116 13056215424 13184217536 13722348864 13856881696 14008231132 14422468704 14722936802 14977658892 16009407008 16826213488 17117324448 18187157226 19229958272 19776326304 19970211856 20785322544 21012346698 21218350097 22084405203 22823099264 23754654336 24014110512 24249542968 25239320232 26368435072 27444697728 27713763392 28016462264 28844937408 29445873604 29955317784 32018814016 33652426976 34234648896 36374314452 39552652608 39940423712 41570645088 42024693396 42436700194 44168810406 48028221024 48499085936 50478640464 51530278807 55427526784 56032924528 57689874816 58891747208 59910635568 63655050291 64037628032 67304853952 68469297792 72748628904 79105305216 79880847424 83141290176 84049386792 84873400388 88337620812 96056442048 96998171872 100957280928 103060557614 112065849056 117783494416 119821271136 127310100582 134609707904 145497257808 154590836421 159761694848 166282580352 168098773584 169746800776 176675241624 192112884096 193996343744 201914561856 206121115228 224131698112 235566988832 239642542272 254620201164 290994515616 309181672842 336197547168 339493601552 353350483248 360711951649 387992687488 403829123712 412242230456 448263396224 471133977664 479285084544 509240402328 581989031232 618363345684 672395094336 678987203104 706700966496 721423903298 824484460912 942267955328 1018480804656 1082135854947 1163978062464 1236726691368 1344790188672 1357974406208 1413401932992 1442847806596 1648968921824 2036961609312 2164271709894 2473453382736 2715948812416 2826803865984 2885695613192 3297937843648 4073923218624 4328543419788 4946906765472 5771391226384 6595875687296 8147846437248 8657086839576 9893813530944 11542782452768 17314173679152 19787627061888 23085564905536 34628347358304 46171129811072 69256694716608 138513389433216
- Sum of all divisors σ(n): 460451778226740
- Sum of proper divisors (its aliquot sum) s(n): 321938388793524
- 138513389433216 is an abundant number, because the sum of its proper divisors (321938388793524) is greater than itself. Its abundance is 183424999360308
Bases of 138513389433216
- Binary: 111110111111010001010010101111110110001100000002
- Hexadecimal: 0x7DFA295FB180
- Base-36: 1D3K67RBEO
Squares and roots of 138513389433216
- 138513389433216 squared (1385133894332162) is 19185959052277753845724102656
- 138513389433216 cubed (1385133894332163) is 2657512217857884291270588027895674040221696
-
The
square root of 138513389433216 is 11769171.1446990181 -
The
cube root of 138513389433216 is 51740.4957452399
Scales and comparisons
How big is 138513389433216?- 138,513,389,433,216 seconds is equal to 4,404,297 years, 17 weeks, 2 days, 13 hours, 13 minutes, 36 seconds.
-
To count from 1 to 138,513,389,433,216 would take you about eleven million, ten thousand, seven hundred forty-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 138513389433216 cubic inches would be around 4311.7 feet tall.
Recreational maths with 138513389433216
- 138513389433216 backwards is 612334983315831
- The number of decimal digits it has is: 15
- The sum of 138513389433216's digits is 60
- More coming soon!
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Numbermatics. (2024). Number 138513389433216 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/138513389433216/
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The information we have on file for 138513389433216 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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