138155460405248
138,155,460,405,248 is an even composite number composed of seven prime numbers multiplied together.
138155460405248 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138155460405248:
211 × 11 × 132 × 17 × 31 × 37 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 13 × 13 × 17 × 31 × 37 × 1861)See below for interesting mathematical facts about the number 138155460405248 from the Numbermatics database.
Names of 138155460405248
- Cardinal: 138155460405248 can be written as One hundred thirty-eight trillion, one hundred fifty-five billion, four hundred sixty million, four hundred five thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 1.38155460405248 × 1014
Factors of 138155460405248
Divisors of 138155460405248
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 8 11 13 16 17 22 26 31 32 34 37 44 52 62 64 68 74 88 104 124 128 136 143 148 169 176 187 208 221 248 256 272 286 296 338 341 352 374 403 407 416 442 481 496 512 527 544 572 592 629 676 682 704 748 806 814 832 884 962 992 1024 1054 1088 1144 1147 1184 1258 1352 1364 1408 1496 1612 1628 1664 1768 1859 1861 1924 1984 2048 2108 2176 2288 2294 2368 2431 2516 2704 2728 2816 2873 2992 3224 3256 3328 3536 3718 3722 3848 3968 4216 4352 4433 4576 4588 4736 4862 5032 5239 5291 5408 5456 5632 5746 5797 5984 6253 6448 6512 6656 6851 6919 7072 7436 7444 7696 7936 8177 8432 8704 8866 9152 9176 9472 9724 10064 10478 10582 10816 10912 11264 11492 11594 11968 12506 12617 12896 13024 13312 13702 13838 14144 14872 14888 14911 15392 15872 16354 16864 17408 17732 18304 18352 18944 19448 19499 20128 20471 20956 21164 21632 21824 22528 22984 23188 23936 24193 25012 25234 25792 26048 26624 27404 27676 28288 29744 29776 29822 30784 31603 31637 31744 32708 33728 34816 35464 36608 36704 37888 38896 38998 40256 40942 41912 42328 43264 43648 45968 46376 47872 48386 50024 50468 51584 52096 54808 55352 56576 57629 57691 59488 59552 59644 61568 63206 63274 63488 65416 67456 68783 68857 70928 73216 73408 75361 75776 77792 77996 80512 81884 83824 84656 86528 87296 89063 89947 91936 92752 95744 96772 100048 100936 103168 104192 106301 109616 110704 113152 115258 115382 118976 119104 119288 123136 126412 126548 130832 134912 137566 137714 141856 146432 146816 150722 155584 155992 161024 163768 164021 167648 169312 173056 174592 178126 179894 183872 185504 191488 193544 193843 200096 201872 206336 208384 212602 214489 219232 221408 226304 230516 230764 237952 238208 238576 246272 252824 253096 253487 261664 266123 269824 275132 275428 283712 292864 293632 301444 311168 311984 314509 322048 327536 328042 335296 338624 346112 348007 349184 356252 359788 367744 371008 382976 387088 387686 400192 403744 411281 412672 416768 425204 428978 438464 442816 452608 461032 461528 475904 476416 477152 492544 505648 506192 506974 523328 532246 539648 550264 550856 567424 587264 602888 622336 623968 629018 634601 644096 655072 656084 670592 677248 696014 698368 712504 719576 735488 742016 749983 757427 774176 775372 800384 807488 822562 825344 833536 850408 857956 876928 885632 895141 922064 923056 951808 952832 954304 979693 980747 985088 1011296 1012384 1013948 1046656 1064492 1079296 1100528 1101712 1134848 1169311 1170569 1174528 1205776 1244672 1247936 1258036 1269202 1288192 1310144 1312168 1341184 1354496 1392028 1425008 1439152 1470976 1484032 1499966 1514854 1548352 1550744 1600768 1614976 1645124 1700816 1715912 1753856 1771264 1790282 1844128 1846112 1903616 1905664 1908608 1959386 1961494 2022592 2024768 2027896 2093312 2128984 2132273 2134567 2201056 2203424 2269696 2338622 2341138 2349056 2411552 2489344 2495872 2516072 2538404 2620288 2624336 2682368 2708992 2784056 2788357 2850016 2878304 2941952 2968064 2999932 3029708 3096704 3101488 3201536 3229952 3290248 3295331 3401632 3431824 3459599 3507712 3542528 3580564 3688256 3692224 3807232 3811328 3817216 3918772 3922988 4045184 4049536 4055792 4186624 4257968 4264546 4269134 4402112 4406848 4524091 4539392 4677244 4682276 4823104 4978688 4991744 5032144 5076808 5240576 5248672 5346653 5364736 5417984 5568112 5576714 5700032 5756608 5883904 5936128 5999864 6059416 6193408 6202976 6403072 6459904 6580496 6590662 6803264 6863648 6919198 7015424 7085056 7161128 7376512 7384448 7634432 7837544 7845976 8090368 8099072 8111584 8249813 8373248 8515936 8529092 8538268 8804224 8813696 9048182 9078784 9354488 9364552 9646208 9749779 9846551 9983488 10064288 10153616 10481152 10497344 10693306 10729472 10788217 10835968 11136224 11153428 11400064 11513216 11636833 11872256 11999728 12118832 12386816 12405952 12749711 12806144 12876259 12919808 13160992 13181324 13606528 13727296 13838396 14030848 14170112 14322256 14753024 14768896 15217397 15268864 15675088 15691952 16180736 16198144 16223168 16499626 16746496 17031872 17058184 17076536 17608448 17627392 18096364 18708976 18729104 19292416 19499558 19693102 19966976 20128576 20307232 20962304 20994688 21386612 21576434 22272448 22306856 22800128 23026432 23273666 23480237 23999456 24237664 24773632 24811904 25499422 25752518 25839616 26321984 26362648 27213056 27454592 27676792 27749371 28644512 29506048 29537792 30434794 30537728 31350176 31383904 32361472 32396288 32446336 32999252 34063744 34116368 34153072 35216896 35254784 36192728 36248641 36287639 37417952 37458208 38584832 38999116 39386204 39933952 40257152 40614464 41924608 41989376 42773224 43152868 44544896 44613712 45600256 46052864 46547332 46960474 47998912 48475328 49547264 49623808 50998844 51505036 52643968 52725296 54426112 54909184 55353584 55498742 57289024 58813183 59012096 59075584 60869588 62700352 62767808 64722944 64792576 64892672 65998504 68127488 68232736 68306144 70433792 70509568 72385456 72497282 72575278 74835904 74916416 77169664 77998232 78772408 80514304 81228928 83978752 85546448 86305736 89089792 89227424 91200512 92105728 93094664 93920948 95997824 96950656 99247616 101997688 103010072 105287936 105450592 107247569 108852224 109818368 110707168 110997484 114578048 117626366 118024192 118151168 121739176 125400704 125535616 128005163 129785344 131997008 136254976 136465472 136612288 140246821 140867584 141019136 144770912 144994564 145150556 149671808 149832832 154339328 155996464 157544816 161028608 162457856 165746243 167391367 167957504 171092896 172611472 178179584 178454848 182401024 184211456 186189328 187841896 191995648 193901312 197826161 198495232 203995376 206020144 210575872 210901184 214495138 217704448 219636736 221414336 221994968 229156096 235252732 243478352 250801408 251071232 256010326 259570688 263994016 272509952 272930944 273224576 280493642 289541824 289989128 290301112 299343616 299665664 305243081 311992928 315089632 322057216 324915712 331492486 334782734 335915008 342185792 345222944 356359168 356909696 360741823 372378656 375683792 383991296 387802624 395652322 396990464 399164029 407990752 412040288 421151744 421802368 428990276 439273472 442828672 443989936 458312192 470505464 471739307 486956704 501602816 502142464 512020652 519141376 527988032 545019904 545861888 546449152 560987284 579083648 579978256 580602224 598687232 599331328 610486162 623985856 630179264 644114432 649831424 662984972 669565468 684371584 690445888 712718336 713819392 721483646 744757312 751367584 767982592 775605248 791304644 798328058 815981504 824080576 842303488 843604736 857980552 885657344 887979872 916624384 941010928 943478614 973913408 1003205632 1004284928 1024041304 1055976064 1091723776 1092898304 1121974568 1158167296 1159956512 1161204448 1197374464 1198662656 1220972324 1247971712 1260358528 1299662848 1325969944 1339130936 1368743168 1380891776 1427638784 1442967292 1489514624 1502735168 1535965184 1551210496 1582609288 1596656116 1631963008 1648161152 1687209472 1715961104 1771314688 1775959744 1823208673 1833248768 1882021856 1886957228 1947826816 2006411264 2008569856 2048082608 2111952128 2176087771 2183447552 2185796608 2243949136 2316334592 2319913024 2322408896 2394748928 2397325312 2441944648 2495943424 2520717056 2651939888 2678261872 2737486336 2761783552 2855277568 2885934584 2979029248 3005470336 3165218576 3193312232 3263926016 3296322304 3374418944 3431922208 3542629376 3551919488 3646417346 3764043712 3773914456 3895653632 3968160053 4096165216 4223904256 4352175542 4366895104 4371593216 4487898272 4632669184 4639826048 4644817792 4883889296 4991886848 5041434112 5189132377 5303879776 5356523744 5474972672 5523567104 5710555136 5771869168 5958058496 6010940672 6132610991 6330437152 6386624464 6527852032 6592644608 6748837888 6863844416 7085258752 7103838976 7292834692 7528087424 7547828912 7791307264 7936320106 8192330432 8447808512 8704351084 8975796544 9265338368 9279652096 9289635584 9767778592 9983773696 10082868224 10378264754 10607759552 10713047488 10949945344 11047134208 11543738336 11916116992 12021881344 12265221982 12660874304 12773248928 13055704064 13185289216 13727688832 14207677952 14585669384 15056174848 15095657824 15582614528 15872640212 16384660864 16895617024 17408702168 17951593088 18559304192 18579271168 19535557184 19967547392 20165736448 20756529508 21215519104 21426094976 22094268416 23087476672 23832233984 24043762688 24530443964 25321748608 25546497856 26111408128 26370578432 27455377664 28415355904 29171338768 30112349696 30191315648 31165229056 31745280424 32769321728 34817404336 35903186176 37118608384 37158542336 39071114368 41513059016 42431038208 42852189952 46174953344 48087525376 49060887928 50643497216 51092995712 54910755328 56830711808 58342677536 60224699392 60382631296 63490560848 65538643456 67458720901 69634808672 71806372352 74237216768 74317084672 78142228736 83026118032 84862076416 85704379904 92349906688 98121775856 101286994432 102185991424 109821510656 116685355072 120449398784 120765262592 126981121696 131077286912 134917441802 139269617344 143612744704 156284457472 166052236064 169724152832 171408759808 184699813376 196243551712 202573988864 204371982848 219643021312 233370710144 241530525184 253962243392 262154573824 269834883604 278539234688 287225489408 312568914944 332104472128 339448305664 342817519616 369399626752 392487103424 405147977728 408743965696 466741420288 483061050368 507924486784 539669767208 557078469376 625137829888 664208944256 738799253504 784974206848 817487931392 933482840576 966122100736 1015848973568 1079339534416 1114156938752 1328417888512 1569948413696 1866965681152 2031697947136 2158679068832 2228313877504 2656835777024 3139896827392 3733931362304 4063395894272 4317358137664 4456627755008 5313671554048 6279793654784 8126791788544 8634716275328 10627343108096 12559587309568 17269432550656 34538865101312 69077730202624 138155460405248
- Sum of all divisors σ(n): 366498328734720
- Sum of proper divisors (its aliquot sum) s(n): 228342868329472
- 138155460405248 is an abundant number, because the sum of its proper divisors (228342868329472) is greater than itself. Its abundance is 90187407924224
Bases of 138155460405248
- Binary: 111110110100110110100110010010000101000000000002
- Hexadecimal: 0x7DA6D3242800
- Base-36: 1CYZQQ21VK
Squares and roots of 138155460405248
- 138155460405248 squared (1381554604052482) is 19086931239786047872385941504
- 138155460405248 cubed (1381554604052483) is 2636963773155952456452317374206869862612992
-
The
square root of 138155460405248 is 11753955.0962749555 -
The
cube root of 138155460405248 is 51695.8901894697
Scales and comparisons
How big is 138155460405248?- 138,155,460,405,248 seconds is equal to 4,392,916 years, 15 weeks, 3 days, 11 hours, 14 minutes, 8 seconds.
-
To count from 1 to 138,155,460,405,248 would take you about ten million, nine hundred eighty-two thousand, two hundred ninety 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 138155460405248 cubic inches would be around 4308 feet tall.
Recreational maths with 138155460405248
- 138155460405248 backwards is 842504064551831
- The number of decimal digits it has is: 15
- The sum of 138155460405248's digits is 56
- More coming soon!
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The information we have on file for 138155460405248 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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