138933923401728
138,933,923,401,728 is an even composite number composed of five prime numbers multiplied together.
138933923401728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred seventy divisors.
Prime factorization of 138933923401728:
212 × 32 × 72 × 134 × 2693
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 13 × 13 × 13 × 2693)See below for interesting mathematical facts about the number 138933923401728 from the Numbermatics database.
Names of 138933923401728
- Cardinal: 138933923401728 can be written as One hundred thirty-eight trillion, nine hundred thirty-three billion, nine hundred twenty-three million, four hundred one thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38933923401728 × 1014
Factors of 138933923401728
Divisors of 138933923401728
- Number of divisors d(n): 1170
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 49 52 56 63 64 72 78 84 91 96 98 104 112 117 126 128 144 147 156 168 169 182 192 196 208 224 234 252 256 273 288 294 312 336 338 364 384 392 416 441 448 468 504 507 512 546 576 588 624 637 672 676 728 768 784 819 832 882 896 936 1008 1014 1024 1092 1152 1176 1183 1248 1274 1344 1352 1456 1521 1536 1568 1638 1664 1764 1792 1872 1911 2016 2028 2048 2184 2197 2304 2352 2366 2496 2548 2688 2693 2704 2912 3042 3072 3136 3276 3328 3528 3549 3584 3744 3822 4032 4056 4096 4368 4394 4608 4704 4732 4992 5096 5376 5386 5408 5733 5824 6084 6144 6272 6552 6591 6656 7056 7098 7168 7488 7644 8064 8079 8112 8281 8736 8788 9216 9408 9464 9984 10192 10647 10752 10772 10816 11466 11648 12168 12288 12544 13104 13182 13312 14112 14196 14336 14976 15288 15379 16128 16158 16224 16562 17472 17576 18432 18816 18851 18928 19773 19968 20384 21294 21504 21544 21632 22932 23296 24237 24336 24843 25088 26208 26364 26624 28224 28392 28561 28672 29952 30576 30758 32256 32316 32448 33124 34944 35009 35152 36864 37632 37702 37856 39546 39936 40768 42588 43008 43088 43264 45864 46137 46592 48474 48672 49686 50176 52416 52728 53248 56448 56553 56784 57122 59904 61152 61516 64512 64632 64896 66248 69888 70018 70304 74529 75264 75404 75712 79092 79872 81536 85176 85683 86016 86176 86528 91728 92274 93184 96948 97344 99372 100352 104832 105027 105456 107653 112896 113106 113568 114244 119808 122304 123032 129024 129264 129792 131957 132496 138411 139776 140036 140608 149058 150528 150808 151424 158184 159744 163072 169659 170352 171366 172352 173056 183456 184548 186368 193896 194688 198744 199927 200704 209664 210054 210912 215306 225792 226212 227136 228488 239616 244608 245063 246064 257049 258048 258528 259584 263914 264992 276822 279552 280072 281216 298116 301056 301616 302848 315081 316368 322959 326144 339318 340704 342732 344704 346112 366912 369096 372736 387792 389376 395871 397488 399854 419328 420108 421824 430612 451584 452424 454272 455117 456976 479232 489216 490126 492128 514098 517056 519168 527828 529984 553644 559104 560144 562432 596232 599781 602112 603232 605696 630162 632736 645918 652288 678636 681408 685464 689408 692224 733824 735189 738192 775584 778752 791742 794976 799708 838656 840216 843648 861224 903168 904848 908544 910234 913952 968877 978432 980252 984256 1028196 1034112 1038336 1055656 1059968 1107288 1118208 1120288 1124864 1187613 1192464 1199562 1206464 1211392 1260324 1265472 1291836 1304576 1357272 1362816 1365351 1370928 1378816 1399489 1467648 1470378 1476384 1551168 1557504 1583484 1589952 1599416 1677312 1680432 1687296 1715441 1722448 1799343 1806336 1809696 1817088 1820468 1827904 1937754 1956864 1960504 1968512 2056392 2068224 2076672 2111312 2119936 2205567 2214576 2240576 2249728 2375226 2384928 2399124 2412928 2422784 2520648 2530944 2583672 2609152 2714544 2725632 2730702 2741856 2757632 2798978 2935296 2940756 2952768 3102336 3115008 3166968 3179904 3185819 3198832 3354624 3360864 3374592 3430882 3444896 3598686 3619392 3634176 3640936 3655808 3875508 3913728 3921008 3937024 4096053 4112784 4136448 4198467 4222624 4239872 4411134 4429152 4481152 4499456 4750452 4769856 4798248 4825856 4845568 5041296 5061888 5146323 5167344 5429088 5451264 5461404 5483712 5515264 5597956 5870592 5881512 5905536 5916521 6204672 6230016 6333936 6359808 6371638 6397664 6721728 6749184 6861764 6889792 7197372 7238784 7268352 7281872 7311616 7751016 7827456 7842016 7874048 8192106 8225568 8272896 8396934 8445248 8479744 8822268 8858304 8962304 8998912 9500904 9539712 9557457 9596496 9651712 10082592 10123776 10292646 10334688 10858176 10902528 10922808 10967424 11030528 11195912 11741184 11763024 11811072 11833042 12409344 12595401 12667872 12719616 12743276 12795328 13443456 13498368 13723528 13779584 14394744 14477568 14536704 14563744 14623232 15438969 15502032 15684032 15748096 16384212 16451136 16545792 16793868 16890496 16959488 17644536 17716608 17749563 17924608 19001808 19079424 19114914 19192992 19303424 20165184 20247552 20585292 20669376 21716352 21805056 21845616 21934848 22300733 22391824 23482368 23526048 23622144 23666084 24818688 25190802 25335744 25439232 25486552 25590656 26886912 26996736 27447056 27559168 28672371 28789488 28955136 29127488 29246464 30877938 31004064 31368064 31496192 32768424 32902272 33091584 33587736 33780992 33918976 35289072 35433216 35499126 35849216 38003616 38158848 38229828 38385984 38606848 40330368 40495104 41170584 41338752 41415647 43432704 43610112 43691232 43869696 44601466 44783648 47052096 47244288 47332168 49637376 50381604 50671488 50878464 50973104 51181312 53248689 53773824 54894112 55118336 57344742 57578976 57910272 58254976 58492928 61755876 62008128 62736128 62992384 65536848 65804544 66902199 67175472 67561984 70578144 70866432 70998252 71698432 76007232 76317696 76459656 76771968 76914773 77213696 80660736 80990208 82341168 82677504 82831294 86865408 87382464 87739392 89202932 89567296 94104192 94488576 94664336 99274752 100763208 101342976 101756928 101946208 102362624 106497378 107547648 109788224 110236672 114689484 115157952 115820544 116509952 116985856 123511752 124016256 124246941 125472256 131073696 131609088 133804398 134350944 135123968 141156288 141732864 141996504 143396864 152014464 152635392 152919312 153543936 153829546 161321472 164682336 165355008 165662588 173730816 174764928 175478784 178405864 179134592 188208384 188977152 189328672 200706597 201526416 202685952 203892416 204725248 212994756 215095296 219576448 220473344 229378968 230315904 230744319 231641088 233019904 247023504 248032512 248493882 250944512 262147392 263218176 267608796 268701888 270247936 282312576 283465728 283993008 289909529 304028928 305270784 305838624 307087872 307659092 322642944 329364672 330710016 331325176 347461632 349529856 350957568 356811728 358269184 372740823 376416768 378657344 401413194 403052832 405371904 407784832 409450496 425989512 430190592 439152896 440946688 458757936 460631808 461488638 466039808 494047008 496065024 496987764 501889024 524294784 526436352 535217592 537403776 538403411 540495872 564625152 566931456 567986016 579819058 608057856 611677248 614175744 615318184 645285888 658729344 661420032 662650352 692232957 694923264 699059712 713623456 716538368 745481646 752833536 757314688 802826388 806105664 810743808 815569664 818900992 851979024 869728587 878305792 917515872 921263616 922977276 932079616 988094016 992130048 993975528 1003778048 1048589568 1052872704 1070435184 1074807552 1076806822 1129250304 1135972032 1159638116 1216115712 1223354496 1228351488 1230636368 1290571776 1317458688 1322840064 1325300704 1384465914 1398119424 1427246912 1433076736 1490963292 1505667072 1514629376 1605652776 1612211328 1615210233 1621487616 1631139328 1703958048 1739457174 1756611584 1835031744 1842527232 1845954552 1864159232 1976188032 1984260096 1987951056 2097179136 2140870368 2149615104 2153613644 2258500608 2271944064 2319276232 2432231424 2446708992 2456702976 2461272736 2609185761 2634917376 2650601408 2768931828 2796238848 2854493824 2866153472 2981926584 3011334144 3029258752 3211305552 3224422656 3230420466 3262278656 3407916096 3478914348 3513223168 3670063488 3685054464 3691909104 3768823877 3952376064 3968520192 3975902112 4194358272 4281740736 4299230208 4307227288 4517001216 4543888128 4638552464 4845630699 4864462848 4893417984 4922545472 5218371522 5269834752 5301202816 5537863656 5592477696 5708987648 5732306944 5963853168 6058517504 6422611104 6448845312 6460840932 6524557312 6815832192 6957828696 7026446336 7340126976 7370108928 7383818208 7537647754 7904752128 7951804224 8388716544 8563481472 8598460416 8614454576 9034002432 9087776256 9277104928 9691261398 9786835968 9845090944 10436743044 10539669504 10602405632 11075727312 11306471631 11417975296 11927706336 12117035008 12845222208 12897690624 12921681864 13049114624 13631664384 13915657392 14680253952 14767636416 15075295508 15809504256 15903608448 16777433088 17126962944 17196920832 17228909152 18175552512 18554209856 19382522796 19573671936 19690181888 20873486088 21079339008 21204811264 22151454624 22612943262 22835950592 23855412672 24234070016 25690444416 25795381248 25843363728 27263328768 27831314784 29360507904 29535272832 30150591016 31619008512 31807216896 33919414893 34253925888 34457818304 36351105024 37108419712 38765045592 39147343872 39380363776 41746972176 42409622528 44302909248 45225886524 45671901184 47710825344 51380888832 51590762496 51686727456 54526657536 55662629568 58721015808 59070545664 60301182032 63238017024 63614433792 67838829786 68507851776 68915636608 72702210048 74216839424 77530091184 78760727552 83493944352 84819245056 88605818496 90451773048 91343802368 95421650688 102761777664 103373454912 109053315072 111325259136 117442031616 118141091328 120602364064 127228867584 135677659572 137015703552 137831273216 148433678848 155060182368 157521455104 166987888704 169638490112 177211636992 180903546096 190843301376 205523555328 206746909824 218106630144 222650518272 236282182656 241204728128 254457735168 271355319144 274031407104 275662546432 296867357696 310120364736 315042910208 333975777408 354423273984 361807092192 381686602752 411047110656 413493819648 445301036544 472564365312 482409456256 508915470336 542710638288 551325092864 593734715392 620240729472 667951554816 708846547968 723614184384 763373205504 822094221312 826987639296 890602073088 945128730624 964818912512 1085421276576 1102650185728 1187469430784 1240481458944 1335903109632 1417693095936 1447228368768 1526746411008 1653975278592 1781204146176 1929637825024 2170842553152 2205300371456 2480962917888 2671806219264 2835386191872 2894456737536 3307950557184 3562408292352 3859275650048 4341685106304 4961925835776 5343612438528 5788913475072 6615901114368 7718551300096 8683370212608 9923851671552 10687224877056 11577826950144 15437102600192 17366740425216 19847703343104 23155653900288 34733480850432 46311307800576 69466961700864 138933923401728
- Sum of all divisors σ(n): 505926084259674
- Sum of proper divisors (its aliquot sum) s(n): 366992160857946
- 138933923401728 is an abundant number, because the sum of its proper divisors (366992160857946) is greater than itself. Its abundance is 228058237456218
Bases of 138933923401728
- Binary: 111111001011100000100110010011011010000000000002
- Hexadecimal: 0x7E5C1326D000
- Base-36: 1D8XD2TQ80
Squares and roots of 138933923401728
- 138933923401728 squared (1389339234017282) is 19302635071797223199273385984
- 138933923401728 cubed (1389339234017283) is 2681790822516583861704617145648034036580352
-
The
square root of 138933923401728 is 11787023.5174843017 -
The
cube root of 138933923401728 is 51792.8051357877
Scales and comparisons
How big is 138933923401728?- 138,933,923,401,728 seconds is equal to 4,417,669 years, 4 days, 20 hours, 28 minutes, 48 seconds.
-
To count from 1 to 138,933,923,401,728 would take you about eleven million, forty-four thousand, one hundred seventy-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 138933923401728 cubic inches would be around 4316.1 feet tall.
Recreational maths with 138933923401728
- 138933923401728 backwards is 827104329339831
- 138933923401728 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138933923401728's digits is 63
- More coming soon!
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The information we have on file for 138933923401728 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 138933923401728, math, Factors of 138933923401728, curriculum, school, college, exams, university, Prime factorization of 138933923401728, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, nine hundred thirty-three billion, nine hundred twenty-three million, four hundred one thousand, seven hundred twenty-eight.