138749873944968
138,749,873,944,968 is an even composite number composed of six prime numbers multiplied together.
138749873944968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138749873944968:
23 × 39 × 11 × 133 × 192 × 101
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 13 × 13 × 19 × 19 × 101)See below for interesting mathematical facts about the number 138749873944968 from the Numbermatics database.
Names of 138749873944968
- Cardinal: 138749873944968 can be written as One hundred thirty-eight trillion, seven hundred forty-nine billion, eight hundred seventy-three million, nine hundred forty-four thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38749873944968 × 1014
Factors of 138749873944968
Divisors of 138749873944968
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 18 19 22 24 26 27 33 36 38 39 44 52 54 57 66 72 76 78 81 88 99 101 104 108 114 117 132 143 152 156 162 169 171 198 202 209 216 228 234 243 247 264 286 297 303 312 324 338 342 351 361 396 404 418 429 456 468 486 494 507 513 572 594 606 627 648 676 684 702 722 729 741 792 808 836 858 891 909 936 972 988 1014 1026 1053 1083 1111 1144 1188 1212 1254 1287 1313 1352 1368 1404 1444 1458 1482 1521 1539 1672 1716 1782 1818 1859 1881 1919 1944 1976 2028 2052 2106 2166 2187 2197 2222 2223 2376 2424 2508 2574 2626 2673 2717 2727 2808 2888 2916 2964 3042 3078 3159 3211 3249 3333 3432 3564 3636 3718 3762 3838 3861 3939 3971 4056 4104 4212 4332 4374 4394 4444 4446 4563 4617 4693 5016 5148 5252 5346 5434 5454 5577 5643 5757 5832 5928 6084 6156 6318 6422 6498 6561 6591 6666 6669 7128 7272 7436 7524 7676 7722 7878 7942 8019 8151 8181 8424 8664 8748 8788 8888 8892 9126 9234 9386 9477 9633 9747 9999 10296 10504 10692 10868 10908 11154 11286 11514 11583 11817 11913 12168 12312 12636 12844 12996 13122 13182 13332 13338 13689 13851 14079 14443 14872 15048 15352 15444 15756 15884 16038 16302 16362 16731 16929 17069 17271 17496 17576 17784 18252 18468 18772 18954 19266 19494 19683 19773 19998 20007 21109 21384 21736 21816 22308 22572 23028 23166 23634 23826 24057 24167 24453 24543 24947 25272 25688 25992 26244 26364 26664 26676 27378 27702 28158 28431 28886 28899 29241 29997 30888 31512 31768 32076 32604 32724 33462 33858 34138 34542 34749 35321 35451 35739 36461 36504 36936 37544 37908 38532 38988 39366 39546 39996 40014 41067 41553 41743 42218 42237 43329 44616 45144 46056 46332 47268 47652 48114 48334 48906 49086 49894 50193 50787 51207 51623 51813 52488 52728 53352 54756 55404 56316 56862 57772 57798 58482 59319 59994 60021 61009 63327 64152 65208 65448 66924 67716 68276 69084 69498 70642 70902 71478 72171 72501 72922 73359 73629 74841 75816 77064 77976 78732 79092 79992 80028 82134 83106 83486 84436 84474 85293 86658 86697 87723 89991 92664 94536 95304 96228 96668 97812 98172 99788 100386 101574 102414 103246 103626 104247 105963 106353 107217 109383 109512 110808 112632 113724 115544 115596 116964 118638 119988 120042 122018 123201 124659 125229 126654 126711 129987 133848 135432 136552 138168 138996 141284 141804 142956 144342 145002 145844 146718 147258 149682 150579 152361 153621 154869 155439 157464 158184 160056 164268 166212 166972 168872 168948 170586 173316 173394 175446 177957 179982 180063 183027 187759 189981 192456 193336 195624 196344 199576 200772 203148 204828 206492 207252 208494 211926 212706 214434 216513 217503 218766 220077 220887 221897 224523 227448 231192 233928 237276 239976 240084 244036 246402 249318 250458 253308 253422 255879 259974 260091 263169 269973 274417 277992 282568 283608 285912 288684 290004 291688 293436 294516 299364 301158 304722 307242 309738 310878 312741 317889 319059 321651 324311 328149 328536 332424 333944 337896 341172 346632 346788 350892 355914 359964 360126 366054 369603 373977 375518 375687 379962 380133 389961 401071 401544 406296 409656 412984 414504 416988 423852 425412 428868 433026 435006 437532 440154 441774 443794 449046 451737 457083 459173 460863 464607 466317 473993 474552 480168 488072 492804 498636 500916 506616 506844 511758 519948 520182 526338 533871 539946 540189 548834 549081 563277 569943 577368 580008 586872 589032 598728 602316 609444 614484 619476 621756 625482 635778 638118 643302 648622 652509 656298 660231 662661 665691 671099 673569 682344 693576 701784 711828 719928 720252 732108 739206 747954 751036 751374 759924 760266 779922 780273 789507 793117 802142 809919 823251 833976 847704 850824 857736 866052 870012 875064 880308 883548 887588 898092 903474 914166 918346 921726 929214 932634 938223 947986 953667 957177 964953 972933 984447 985608 997272 1001832 1013688 1023516 1039896 1040364 1052676 1067742 1079892 1080378 1097668 1098162 1108809 1126554 1127061 1139886 1140399 1169883 1203213 1204632 1218888 1228968 1238952 1243512 1250964 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671938254 677397006 682998966 691081794 695223243 706667247 709268157 717661863 720943353 730335528 738978552 758084184 770562936 770909724 779682024 790840908 800199972 800560098 813371988 821257866 821627469 830976894 834776514 844655526 866883303 877142277 881152987 892632312 895917672 903196008 910665288 921442392 926964324 942222996 945690876 951358122 956882484 961257804 970577478 978462342 982063602 998229258 1004211351 1016095509 1024498449 1036622691 1067413464 1095010488 1095503292 1107969192 1113035352 1126207368 1137126276 1155844404 1156364586 1169523036 1186261362 1200299958 1200840147 1220057982 1231886799 1252164771 1266983289 1268477496 1294103304 1304616456 1309418136 1330972344 1338948468 1343876508 1354794012 1365997932 1382163588 1390446486 1413334494 1418536314 1435323726 1441886706 1455866217 1467693513 1497343887 1541819448 1581681816 1600399944 1601120196 1626743976 1642515732 1643254938 1661953788 1669553028 1689311052 1733766606 1734546879 1754284554 1762305974 1779392043 1800449937 1830086973 1853928648 1884445992 1891381752 1902716244 1913764968 1922515608 1941154956 1956924684 1964127204 1996458516 2008422702 2032191018 2048996898 2073245382 2120001741 2127804471 2162830059 2191006584 2274252552 2311688808 2312729172 2339046072 2372522724 2400599916 2401680294 2440115964 2463773598 2504329542 2533966578 2600649909 2631426831 2643458961 2677896936 2687753016 2709588024 2731995864 2764327176 2780892972 2826668988 2837072628 2870647452 2883773412 2911732434 2935387026 2994687774 3012634053 3073495347 3109868073 3202240392 3285031464 3286509876 3323907576 3339106056 3378622104 3467533212 3469093758 3508569108 3524611948 3558784086 3600899874 3660173946 3695660397 3756494313 3800949867 3805432488 3882309912 3913849368 3928254408 3992917032 4016845404 4064382036 4097993796 4146490764 4240003482 4255608942 4325660118 4367598651 4403080539 4492031661 4625458344 4745045448 4801199832 4803360588 4880231928 4927547196 5008659084 5067933156 5201299818 5203640637 5262853662 5286917922 5338176129 5401349811 5490260919 5561785944 5653337976 5674145256 5741294904 5767546824 5823464868 5870774052 5989375548 6025268106 6146990694 6219736146 6360005223 6383413413 6488490177 6573019752 6935066424 6938187516 7017138216 7049223896 7117568172 7201799748 7320347892 7391320794 7512988626 7601899734 7801949727 7894280493 7930376883 8033690808 8128764072 8195987592 8292981528 8480006964 8511217884 8651320236 8735197302 8806161078 8984063322 9037902159 9220486041 9329604219 9606721176 9855094392 10017318168 10135866312 10402599636 10407281274 10525707324 10573835844 10676352258 10802699622 10980521838 11269482939 11402849601 11646929736 11741548104 11978751096 12050536212 12293981388 12439472292 12720010446 12766826826 12976980354 13209241617 13476094983 13876375032 14235136344 14403599496 14640695784 14782641588 15025977252 15203799468 15603899454 15610921911 15788560986 15860753766 16014528387 16470782757 16960013928 17022435768 17302640472 17470394604 17612322156 17968126644 18075804318 18440972082 18659208438 19080015669 19465470531 20805199272 20814562548 21051414648 21147671688 21352704516 21605399244 21961043676 22538965878 22805699202 23405849181 23791130649 24101072424 24587962776 24878944584 25440020892 25533653652 25953960708 26418483234 26952189966 27661458123 29565283176 30051954504 30407598936 31207798908 31221843822 31577121972 31721507532 32029056774 32941565514 33808448817 34208548803 34940789208 35224644312 35936253288 36151608636 36881944164 37318416876 38160031338 38930941062 40428284949 41629125096 42705409032 43210798488 43922087352 45077931756 45611398404 46811698362 47582261298 48043585161 49412348271 50880041784 51067307304 51907921416 52836966468 53904379932 55322916246 57240047007 58396411593 62415597816 62443687644 63154243944 63443015064 64058113548 65883131028 67616897634 68417097606 70217547543 71373391947 72303217272 73763888328 74636833752 76320062676 77861882124 80856569898 82984374369 90155863512 91222796808 93623396724 95164522596 96087170322 98824696542 101425346451 102625646409 105673932936 107808759864 110645832492 114480094014 116792823186 121284854847 124887375288 128116227096 131766262056 135233795268 136834195212 140435095086 142746783894 148237044813 152640125352 155723764248 161713139796 165968748738 171720141021 175189234779 187246793448 190329045192 192174340644 197649393084 202850692902 205251292818 214120175841 221291664984 228960188028 233585646372 242569709694 270467590536 273668390424 280870190172 285493567788 296474089626 304276039353 323426279592 331937497476 343440282042 350378469558 384348681288 395298786168 405701385804 410502585636 428240351682 444711134439 457920376056 467171292744 485139419388 525567704337 561740380344 570987135576 592948179252 608552078706 642360527523 663874994952 686880564084 700756939116 811402771608 821005171272 856480703364 889422268878 912828118059 970278838776 1051135408674 1185896358504 1217104157412 1284721055046 1334133403317 1373761128168 1401513878232 1576703113011 1712961406728 1778844537756 1825656236118 1927081582569 2102270817348 2434208314824 2569442110092 2668266806634 3153406226022 3557689075512 3651312472236 3854163165138 4204541634696 5138884220184 5336533613268 5781244747707 6306812452044 7302624944472 7708326330276 10673067226536 11562489495414 12613624904088 15416652660552 17343734243121 23124978990828 34687468486242 46249957981656 69374936972484 138749873944968
- Sum of all divisors σ(n): 491529747139200
- Sum of proper divisors (its aliquot sum) s(n): 352779873194232
- 138749873944968 is an abundant number, because the sum of its proper divisors (352779873194232) is greater than itself. Its abundance is 214029999249264
Bases of 138749873944968
- Binary: 111111000110001001110001111001011111001100010002
- Hexadecimal: 0x7E3138F2F988
- Base-36: 1D6KT8J4I0
Squares and roots of 138749873944968
- 138749873944968 squared (1387498739449682) is 19251527519744509871092521024
- 138749873944968 cubed (1387498739449683) is 2671147016612633194339263667196387359007232
-
The
square root of 138749873944968 is 11779213.6386504175 -
The
cube root of 138749873944968 is 51769.9245946703
Scales and comparisons
How big is 138749873944968?- 138,749,873,944,968 seconds is equal to 4,411,816 years, 42 weeks, 19 hours, 22 minutes, 48 seconds.
-
To count from 1 to 138,749,873,944,968 would take you about eleven million, twenty-nine thousand, five 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 138749873944968 cubic inches would be around 4314.2 feet tall.
Recreational maths with 138749873944968
- 138749873944968 backwards is 869449378947831
- The number of decimal digits it has is: 15
- The sum of 138749873944968's digits is 90
- More coming soon!
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MLA style:
"Number 138749873944968 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 138749873944968 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138749873944968/
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The information we have on file for 138749873944968 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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