138131540577212
138,131,540,577,212 is an even composite number composed of seven prime numbers multiplied together.
138131540577212 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 138131540577212:
22 × 72 × 132 × 17 × 292 × 31 × 972
(2 × 2 × 7 × 7 × 13 × 13 × 17 × 29 × 29 × 31 × 97 × 97)See below for interesting mathematical facts about the number 138131540577212 from the Numbermatics database.
Names of 138131540577212
- Cardinal: 138131540577212 can be written as One hundred thirty-eight trillion, one hundred thirty-one billion, five hundred forty million, five hundred seventy-seven thousand, two hundred twelve.
Scientific notation
- Scientific notation: 1.38131540577212 × 1014
Factors of 138131540577212
Divisors of 138131540577212
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 7 13 14 17 26 28 29 31 34 49 52 58 62 68 91 97 98 116 119 124 169 182 194 196 203 217 221 238 338 364 377 388 403 406 434 442 476 493 527 637 676 679 754 806 812 833 841 868 884 899 986 1054 1183 1261 1274 1358 1421 1508 1519 1547 1612 1649 1666 1682 1798 1972 2108 2366 2522 2548 2639 2716 2813 2821 2842 2873 3007 3038 3094 3298 3332 3364 3451 3596 3689 4732 4753 4901 5044 5239 5278 5626 5642 5684 5746 5887 6014 6076 6188 6293 6409 6596 6851 6902 7378 8281 8827 9409 9506 9802 10478 10556 10829 10933 11252 11284 11492 11543 11687 11774 12028 12586 12818 13702 13804 14297 14756 15283 16393 16562 17654 18473 18818 19012 19604 19691 19747 20111 20956 21049 21437 21658 21866 23086 23374 23548 24157 25172 25636 25823 26071 27404 28594 30566 32786 33124 34307 35308 36569 36673 36946 37636 39091 39382 39494 40222 41209 42098 42874 43316 43732 44051 44863 46172 46748 47821 47957 48314 51119 51646 52142 57188 61132 61789 65572 65863 68614 73138 73346 73892 76531 78182 78764 78988 80444 80801 81577 81809 82418 83317 84196 85748 87203 88102 89063 89726 95642 95914 96628 100079 102238 103292 104284 106981 114751 122317 123578 131726 137228 137837 140777 142129 146276 146692 147343 150059 151931 153062 156364 159953 161602 163154 163618 164836 166634 174406 176204 178126 179452 182497 185861 191284 191828 198679 200158 204476 213962 229502 240149 244634 247156 255983 256711 263452 272861 273637 275674 278681 281554 284258 291679 294686 300118 303862 306124 314041 319906 323204 326308 327236 333268 334747 335699 338923 348812 356252 357833 364994 371722 397358 400316 427924 443207 459004 461041 475397 480298 489268 508183 511966 513422 535717 545722 547274 551348 557362 563108 568516 571039 572663 583219 583358 589372 600236 607724 610421 621673 623441 628082 639812 664547 669494 671398 677846 700553 715666 729988 743444 748867 794716 803257 856219 886414 922082 950794 960596 994903 1016366 1023932 1026844 1050413 1060501 1063517 1071434 1091444 1094548 1114724 1119671 1133639 1142078 1145326 1166438 1166716 1220842 1243346 1246882 1256164 1277479 1301027 1329094 1338988 1342796 1355692 1386809 1390753 1401106 1431332 1482451 1497734 1590121 1606514 1712438 1772828 1791881 1844164 1901588 1910027 1915459 1950767 1989806 2032732 2041753 2079389 2100826 2121002 2127034 2142868 2239342 2267278 2284156 2290652 2332876 2343229 2372461 2416193 2441684 2486692 2493764 2504831 2528887 2554958 2582827 2602054 2658188 2773618 2781506 2802212 2964902 2995468 3102449 3180242 3213028 3327779 3424876 3547193 3557281 3583762 3791827 3820054 3830918 3901534 3979612 3997273 4082533 4083506 4158778 4201652 4242004 4254068 4272947 4351711 4364087 4405999 4478684 4534556 4638637 4651829 4686458 4744922 4832386 4958543 5009662 5057774 5109916 5165654 5204108 5547236 5563012 5761691 5929804 5993533 6204898 6360484 6655558 6964321 7094386 7114562 7167524 7423507 7444619 7583654 7640108 7661836 7803068 7837697 7912969 7935473 7994546 8081749 8165066 8167012 8317556 8458691 8545894 8639111 8703422 8728174 8811998 9107189 9277274 9303658 9372916 9489844 9664772 9707663 9735271 9917086 10019324 10115548 10331308 10377157 11130847 11523382 11987066 12409796 13311116 13370189 13655369 13786513 13928642 14188772 14229124 14292271 14555723 14737307 14847014 14889238 15167308 15675394 15825938 15870946 15989092 16163498 16330132 16607227 16913351 16917382 17091788 17278222 17406844 17456348 17623996 17702209 18028517 18079789 18214378 18554548 18607316 19271863 19415326 19470542 19834172 20754314 21717143 22261694 23046764 23294453 23974132 24830351 24900967 26542789 26740378 27032057 27310738 27573026 27857284 28584542 29111446 29474614 29694028 29778476 30461977 30841993 31350788 31651876 31741892 32326996 32470459 32562803 32875531 33214454 33826702 33834764 34556444 34709801 35404418 36057034 36159578 36428756 38543726 38830652 38941084 40331837 41508628 42991079 43434286 44523388 46113509 46588906 49293751 49660702 49801934 51964549 53085578 53480756 54064114 54621476 55146052 55390783 55548311 56572243 57169084 58222892 58949228 59210837 60302281 60473777 60923954 61683986 64461059 64940918 65125606 65751062 66428908 67653404 67953641 69419602 70808836 72114068 72319156 72640099 74901983 77087452 77915929 80663674 85982158 86868572 92227018 93177812 96505591 98587502 99321404 99603868 101890061 102868597 103161149 103929098 106171156 108128228 109962983 110781566 111096622 113144486 118393457 118421674 120604562 120947554 121847908 123367972 123915463 126199619 126558523 128922118 129881836 130251212 131502124 134520473 134903041 135907282 138839204 143797747 145280198 149803966 155831858 161327348 171964316 173812457 184454036 185799523 189224399 193011182 197175004 203780122 205737194 206322298 207858196 215893951 219925966 221563132 222193244 226288972 227293213 230128717 234370721 236786914 236843348 241209124 241895108 242968607 245302039 247830926 250534219 252399238 253117046 257844236 269040946 269806082 271814564 282322859 287595494 290560396 299607932 300937553 311663716 322794563 345056257 347624914 371599046 378448798 386022364 387735481 396005701 407560244 411474388 412644596 414475859 422115967 423316439 427381903 431787902 439851932 451227413 454586426 460257434 468741442 473573828 485937214 490604078 495661852 501068438 504798476 506234092 524313881 538081892 539612164 558884027 564645718 575190988 601875106 645589126 675539137 690112514 695249828 720080179 722128043 743198092 756897596 769740881 775470962 783929653 792011402 828951718 837993767 844231934 846632878 854763806 863575804 883397333 902454826 909172852 920514868 937482884 941643311 944321287 971874428 981208156 1002136876 1006584229 1048627762 1117768054 1129291436 1203750212 1291178252 1324570793 1337291761 1351078274 1380225028 1429518779 1440160358 1444256086 1539481762 1550941924 1567859306 1584022804 1610901019 1640595047 1657903436 1675987534 1688463868 1693265756 1709527612 1717114273 1748766149 1753739533 1766794666 1804909652 1869370711 1883286622 1888642574 2013168458 2097255524 2106562871 2235536108 2259561941 2415393799 2649141586 2674583522 2702156548 2859037558 2880320716 2888512172 2954811769 2991673321 3078963524 3135718612 3158591891 3188926507 3221802038 3281190094 3351975068 3434228546 3497532298 3507479066 3533589332 3670197167 3738741422 3766573244 3777285148 3912188189 4026336916 4170134663 4213125742 4519123882 4830787598 5040561253 5298283172 5349167044 5388186167 5487507571 5718075116 5865956369 5909623538 5983346642 6317183782 6377853014 6443604076 6562380188 6591503177 6868457092 6995064596 7014958132 7046089603 7265492351 7340394334 7477482844 7824376378 8340269326 8426251484 9038247764 9361042327 9661575196 10006631453 10081122506 10776372334 10975015142 11484165329 11731912738 11819247076 11966693284 12019799911 12241363043 12276176731 12634367564 12755706028 13085594977 13183006354 14092179206 14530984702 14680788668 15648752756 16680538652 18722084654 20013262906 20162245012 20941713247 21552744668 21950030284 22322485549 22733959937 22968330658 23463825476 24039599822 24301819243 24482726086 24552353462 26171189954 26366012708 27385317323 28184358412 29061969404 29190942641 37444169308 38412552997 40026525812 41061694583 41456044591 41883426494 44644971098 45467919874 45936661316 48079199644 48603638486 48965452172 49104706924 50858446457 52342379908 54211750619 54770634646 58381885282 65527296289 70046420171 76825105994 82123389166 82912089182 83766852988 85689541301 89289942196 90935839748 91599164839 97207276972 101716892914 108423501238 109541269292 116763770564 131054592578 140092840342 153650211988 156257398843 159137719559 164246778332 165824178364 170112734701 171379082602 183198329678 203433785828 204336598487 216847002476 262109185156 280185680684 290192312137 312514797686 318275439118 340225469402 342758165204 356009125199 366396659356 379482254333 408673196974 580384624274 625029595372 636550878236 680450938804 704752758047 712018250398 758964508666 817346393948 1113964036913 1160769248548 1190789142907 1409505516094 1424036500796 1517929017332 2031346184959 2227928073826 2381578285814 2656375780331 2819011032188 4062692369918 4455856147652 4763156571628 4933269306329 5312751560662 8125384739836 9866538612658 10625503121324 19733077225316 34532885144303 69065770288606 138131540577212
- Sum of all divisors σ(n): 348263626261824
- Sum of proper divisors (its aliquot sum) s(n): 210132085684612
- 138131540577212 is an abundant number, because the sum of its proper divisors (210132085684612) is greater than itself. Its abundance is 72000545107400
Bases of 138131540577212
- Binary: 111110110100001010000010110100010001011101111002
- Hexadecimal: 0x7DA141688BBC
- Base-36: 1CYOR4T4FW
Squares and roots of 138131540577212
- 138131540577212 squared (1381315405772122) is 19080322502233965266133692944
- 138131540577212 cubed (1381315405772123) is 2635594341943622174677028411437414931592128
-
The
square root of 138131540577212 is 11752937.5297077113 -
The
cube root of 138131540577212 is 51692.9065260629
Scales and comparisons
How big is 138131540577212?- 138,131,540,577,212 seconds is equal to 4,392,155 years, 37 weeks, 3 days, 14 hours, 33 minutes, 32 seconds.
-
To count from 1 to 138,131,540,577,212 would take you about ten million, nine hundred eighty thousand, three hundred eighty-nine 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 138131540577212 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138131540577212
- 138131540577212 backwards is 212775045131831
- The number of decimal digits it has is: 15
- The sum of 138131540577212's digits is 50
- More coming soon!
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"Number 138131540577212 - Facts about the integer". Numbermatics.com. 2024. Web. 28 June 2024.
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The information we have on file for 138131540577212 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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