138474375717888
138,474,375,717,888 is an even composite number composed of four prime numbers multiplied together.
What does the number 138474375717888 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 990 divisors.
138474375717888 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of nine hundred ninety divisors.
Prime factorization of 138474375717888:
210 × 314 × 72 × 577
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 577)See below for interesting mathematical facts about the number 138474375717888 from the Numbermatics database.
Names of 138474375717888
- Cardinal: 138474375717888 can be written as One hundred thirty-eight trillion, four hundred seventy-four billion, three hundred seventy-five million, seven hundred seventeen thousand, eight hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38474375717888 × 1014
Factors of 138474375717888
Divisors of 138474375717888
- Number of divisors d(n): 990
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 128 144 147 162 168 189 192 196 216 224 243 252 256 288 294 324 336 378 384 392 432 441 448 486 504 512 567 576 577 588 648 672 729 756 768 784 864 882 896 972 1008 1024 1134 1152 1154 1176 1296 1323 1344 1458 1512 1536 1568 1701 1728 1731 1764 1792 1944 2016 2187 2268 2304 2308 2352 2592 2646 2688 2916 3024 3072 3136 3402 3456 3462 3528 3584 3888 3969 4032 4039 4374 4536 4608 4616 4704 5103 5184 5193 5292 5376 5832 6048 6272 6561 6804 6912 6924 7056 7168 7776 7938 8064 8078 8748 9072 9216 9232 9408 10206 10368 10386 10584 10752 11664 11907 12096 12117 12544 13122 13608 13824 13848 14112 15309 15552 15579 15876 16128 16156 17496 18144 18464 18816 19683 20412 20736 20772 21168 21504 23328 23814 24192 24234 25088 26244 27216 27648 27696 28224 28273 30618 31104 31158 31752 32256 32312 34992 35721 36288 36351 36928 37632 39366 40824 41472 41544 42336 45927 46656 46737 47628 48384 48468 50176 52488 54432 55392 56448 56546 59049 61236 62208 62316 63504 64512 64624 69984 71442 72576 72702 73856 75264 78732 81648 82944 83088 84672 84819 91854 93312 93474 95256 96768 96936 104976 107163 108864 109053 110784 112896 113092 118098 122472 124416 124632 127008 129248 137781 139968 140211 142884 145152 145404 147712 150528 157464 163296 166176 169344 169638 177147 183708 186624 186948 190512 193536 193872 209952 214326 217728 218106 221568 225792 226184 236196 244944 248832 249264 254016 254457 258496 275562 279936 280422 285768 290304 290808 295424 314928 321489 326592 327159 332352 338688 339276 354294 367416 373248 373896 381024 387744 413343 419904 420633 428652 435456 436212 443136 451584 452368 472392 489888 498528 508032 508914 516992 531441 551124 559872 560844 571536 580608 581616 590848 629856 642978 653184 654318 664704 677376 678552 708588 734832 746496 747792 762048 763371 775488 826686 839808 841266 857304 870912 872424 886272 904736 944784 964467 979776 981477 997056 1016064 1017828 1033984 1062882 1102248 1119744 1121688 1143072 1163232 1240029 1259712 1261899 1285956 1306368 1308636 1329408 1354752 1357104 1417176 1469664 1495584 1524096 1526742 1550976 1594323 1653372 1679616 1682532 1714608 1741824 1744848 1772544 1809472 1889568 1928934 1959552 1962954 1994112 2032128 2035656 2067968 2125764 2204496 2239488 2243376 2286144 2290113 2326464 2480058 2519424 2523798 2571912 2612736 2617272 2658816 2714208 2834352 2893401 2939328 2944431 2991168 3048192 3053484 3101952 3188646 3306744 3359232 3365064 3429216 3489696 3618944 3720087 3779136 3785697 3857868 3919104 3925908 3988224 4064256 4071312 4135936 4251528 4408992 4486752 4572288 4580226 4652928 4782969 4960116 5038848 5047596 5143824 5225472 5234544 5317632 5428416 5668704 5786802 5878656 5888862 5982336 6096384 6106968 6203904 6377292 6613488 6718464 6730128 6858432 6870339 6979392 7237888 7440174 7558272 7571394 7715736 7838208 7851816 7976448 8142624 8503056 8680203 8817984 8833293 8973504 9144576 9160452 9305856 9565938 9920232 10077696 10095192 10287648 10469088 10856832 11160261 11337408 11357091 11573604 11757312 11777724 11964672 12192768 12213936 12407808 12754584 13226976 13460256 13716864 13740678 13958784 14475776 14880348 15116544 15142788 15431472 15676416 15703632 15952896 16285248 17006112 17360406 17635968 17666586 17947008 18289152 18320904 18611712 19131876 19840464 20155392 20190384 20575296 20611017 20938176 21713664 22320522 22674816 22714182 23147208 23514624 23555448 23929344 24427872 25509168 26040609 26453952 26499879 26920512 27433728 27481356 27917568 28951552 29760696 30233088 30285576 30862944 31407264 32570496 33480783 34012224 34071273 34720812 35271936 35333172 35894016 36578304 36641808 37223424 38263752 39680928 40380768 41150592 41222034 41876352 43427328 44641044 45349632 45428364 46294416 47029248 47110896 47858688 48855744 51018336 52081218 52907904 52999758 53841024 54867456 54962712 55835136 59521392 60466176 60571152 61725888 61833051 62814528 65140992 66961566 68024448 68142546 69441624 70543872 70666344 71788032 73283616 76527504 78121827 79361856 79499637 80761536 82301184 82444068 83752704 86854656 89282088 90699264 90856728 92588832 94221792 97711488 102036672 102213819 104162436 105815808 105999516 107682048 109734912 109925424 111670272 119042784 121142304 123451776 123666102 125629056 130281984 133923132 136048896 136285092 138883248 141087744 141332688 143576064 146567232 153055008 156243654 158723712 158999274 161523072 164602368 164888136 167505408 178564176 181398528 181713456 185177664 185499153 188443584 195422976 204073344 204427638 208324872 211631616 211999032 215364096 219850848 234365481 238085568 238498911 242284608 246903552 247332204 251258112 260563968 267846264 272097792 272570184 277766496 282665376 293134464 306110016 306641457 312487308 317447424 317998548 323046144 329204736 329776272 335010816 357128352 363426912 370355328 370998306 376887168 390845952 408146688 408855276 416649744 423263232 423998064 430728192 439701696 468730962 476171136 476997822 484569216 493807104 494664408 502516224 535692528 544195584 545140368 555532992 556497459 565330752 586268928 612220032 613282914 624974616 634894848 635997096 646092288 659552544 714256704 715496733 726853824 740710656 741996612 753774336 781691904 816293376 817710552 833299488 847996128 879403392 919924371 937461924 952342272 953995644 969138432 987614208 989328816 1005032448 1071385056 1090280736 1111065984 1112994918 1130661504 1172537856 1224440064 1226565828 1249949232 1269789696 1271994192 1292184576 1319105088 1428513408 1430993466 1453707648 1481421312 1483993224 1507548672 1632586752 1635421104 1666598976 1669492377 1695992256 1758806784 1839848742 1874923848 1904684544 1907991288 1938276864 1978657632 2142770112 2146490199 2180561472 2222131968 2225989836 2261323008 2345075712 2448880128 2453131656 2499898464 2543988384 2638210176 2759773113 2857026816 2861986932 2907415296 2962842624 2967986448 3015097344 3270842208 3333197952 3338984754 3391984512 3517613568 3679697484 3749847696 3809369088 3815982576 3876553728 3957315264 4285540224 4292980398 4361122944 4444263936 4451979672 4522646016 4897760256 4906263312 4999796928 5008477131 5087976768 5276420352 5519546226 5714053632 5723973864 5814830592 5935972896 6439470597 6541684416 6666395904 6677969508 6783969024 7035227136 7359394968 7499695392 7631965152 7914630528 8571080448 8585960796 8722245888 8888527872 8903959344 9045292032 9812526624 9999593856 10016954262 10175953536 10552840704 11039092452 11428107264 11447947728 11629661184 11871945792 12878941194 13083368832 13332791808 13355939016 13567938048 14718789936 14999390784 15025431393 15263930304 15829261056 17142160896 17171921592 17444491776 17807918688 19318411791 19625053248 19999187712 20033908524 20351907072 21105681408 22078184904 22895895456 23743891584 25757882388 26166737664 26665583616 26711878032 27135876096 29437579872 29998781568 30050862786 30527860608 31658522112 34284321792 34343843184 34888983552 35615837376 38636823582 39250106496 39998375424 40067817048 40703814144 44156369808 45076294179 45791790912 47487783168 51515764776 52333475328 53423756064 58875159744 59997563136 60101725572 61055721216 63317044224 68687686368 71231674752 77273647164 78500212992 79996750848 80135634096 81407628288 88312739616 90152588358 91583581824 94975566336 103031529552 104666950656 106847512128 117750319488 119995126272 120203451144 122111442432 135228882537 137375372736 142463349504 154547294328 157000425984 160271268192 176625479232 180305176716 183167163648 189951132672 206063059104 213695024256 235500638976 239990252544 240406902288 244222884864 270457765074 274750745472 284926699008 309094588656 314000851968 320542536384 353250958464 360610353432 366334327296 412126118208 427390048512 471001277952 480813804576 540915530148 549501490944 569853398016 618189177312 641085072768 706501916928 721220706864 732668654592 824252236416 854780097024 942002555904 961627609152 1081831060296 1099002981888 1236378354624 1282170145536 1413003833856 1442441413728 1648504472832 1709560194048 1923255218304 2163662120592 2198005963776 2472756709248 2564340291072 2826007667712 2884882827456 3297008945664 3846510436608 4327324241184 4945513418496 5128680582144 5769765654912 6594017891328 7693020873216 8654648482368 9891026836992 11539531309824 15386041746432 17309296964736 19782053673984 23079062619648 34618593929472 46158125239296 69237187858944 138474375717888
- Sum of all divisors σ(n): 483848424917286
- Sum of proper divisors (its aliquot sum) s(n): 345374049199398
- 138474375717888 is an abundant number, because the sum of its proper divisors (345374049199398) is greater than itself. Its abundance is 206899673481510
Bases of 138474375717888
- Binary: 111110111110001000100111111100110100100000000002
- Hexadecimal: 0x7DF113F9A400
- Base-36: 1D32900000
Squares and roots of 138474375717888
- 138474375717888 squared (1384743757178882) is 19175152730458809755363180544
- 138474375717888 cubed (1384743757178883) is 2655267303645439187481433341500722954371072
-
The
square root of 138474375717888 is 11767513.5741535475 -
The
cube root of 138474375717888 is 51735.6375421721
Scales and comparisons
How big is 138474375717888?- 138,474,375,717,888 seconds is equal to 4,403,056 years, 42 weeks, 3 days, 22 hours, 4 minutes, 48 seconds.
-
To count from 1 to 138,474,375,717,888 would take you about eleven million, seven thousand, six hundred forty-two 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 138474375717888 cubic inches would be around 4311.3 feet tall.
Recreational maths with 138474375717888
- 138474375717888 backwards is 888717573474831
- 138474375717888 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138474375717888's digits is 81
- More coming soon!
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The information we have on file for 138474375717888 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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