138816051540075
138,816,051,540,075 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138816051540075 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
138816051540075 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138816051540075:
34 × 52 × 73 × 132 × 532 × 421
(3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 53 × 53 × 421)See below for interesting mathematical facts about the number 138816051540075 from the Numbermatics database.
Names of 138816051540075
- Cardinal: 138816051540075 can be written as One hundred thirty-eight trillion, eight hundred sixteen billion, fifty-one million, five hundred forty thousand and seventy-five.
Scientific notation
- Scientific notation: 1.38816051540075 × 1014
Factors of 138816051540075
Divisors of 138816051540075
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 3 5 7 9 13 15 21 25 27 35 39 45 49 53 63 65 75 81 91 105 117 135 147 159 169 175 189 195 225 245 265 273 315 325 343 351 371 405 421 441 455 477 507 525 567 585 637 675 689 735 795 819 845 945 975 1029 1053 1113 1183 1225 1263 1323 1325 1365 1431 1521 1575 1715 1755 1855 1911 2025 2067 2105 2205 2275 2385 2457 2535 2597 2809 2835 2925 2947 3087 3185 3339 3445 3549 3675 3789 3969 3975 4095 4225 4293 4459 4563 4725 4823 5145 5265 5473 5565 5733 5915 6201 6315 6615 6825 7155 7371 7605 7791 8281 8427 8575 8775 8841 8957 9261 9275 9555 10017 10335 10525 10647 11025 11367 11925 12285 12675 12985 13377 13689 14045 14175 14469 14735 15435 15925 16419 16695 17199 17225 17745 18179 18603 18945 19663 19845 20475 20629 21465 22295 22313 22815 23373 24115 24843 25281 25725 26325 26523 26871 27365 27783 27825 28665 29575 30051 31005 31575 31941 33075 33761 34101 35775 36517 36855 38025 38311 38955 40131 41405 42135 43407 44205 44785 46305 47775 49257 50085 51597 51675 53235 54537 55809 56835 57967 58989 61425 61887 62699 64925 66885 66939 68445 70119 70225 71149 72345 73675 74529 75843 77175 79569 80613 82095 83475 85995 88725 90895 93015 94725 95823 98315 99225 101283 103145 107325 109551 111475 111565 114075 114933 116865 120393 120575 124215 126405 130221 132615 134355 136825 137641 138915 143325 144403 147771 150255 155025 156191 159705 163611 168805 170505 173901 176967 182585 184275 185661 188097 191555 194775 200655 200817 207025 210357 210675 213447 217035 221025 223587 223925 227529 231525 236327 238707 241839 246285 250425 255619 257985 266175 268177 272685 279045 284175 289835 290069 294945 303849 309435 313495 328653 334425 334695 342225 344799 350595 355745 361179 361725 372645 379215 390663 397845 403065 410475 412923 429975 433209 438893 443313 454475 465075 468573 474721 479115 490833 491575 498043 506415 515725 521703 530901 547755 556983 557825 564291 574665 584325 601965 602451 621075 632025 640341 651105 663075 670761 671775 688205 694575 708981 722015 725517 738855 751275 766857 780955 798525 804531 818055 844025 852525 869505 870207 884835 911547 912925 928305 940485 957775 963487 985959 1003275 1004085 1034397 1051785 1067235 1085175 1093337 1117935 1137645 1181635 1182589 1193535 1209195 1231425 1238769 1278095 1289925 1299627 1316679 1340885 1363425 1395225 1405719 1424163 1449175 1450345 1472499 1474725 1494129 1519245 1547175 1565109 1567475 1592703 1643265 1670949 1673475 1692873 1723995 1752975 1778725 1789333 1805895 1807353 1863225 1877239 1896075 1921023 1953315 1989225 2015325 2030483 2064615 2126943 2166045 2194465 2216565 2300571 2342865 2373605 2395575 2413593 2454165 2490215 2532075 2608515 2610621 2654505 2734641 2738775 2784915 2821455 2873325 2890461 2957877 3009825 3012255 3072251 3103191 3201705 3255525 3280011 3323047 3353805 3441025 3486301 3544905 3547767 3610075 3627585 3694275 3716307 3770897 3834285 3898881 3904775 3950037 4022655 4090275 4217157 4272489 4347525 4351035 4424175 4482387 4557735 4641525 4695327 4702425 4817435 4929795 5020425 5078619 5171985 5258925 5336175 5367999 5466685 5589675 5631717 5688225 5763069 5908175 5912945 5967675 6045975 6091449 6193845 6380829 6390475 6498135 6583395 6704425 6901713 7028595 7120815 7240779 7251725 7362495 7470645 7596225 7653359 7825545 7831863 7963515 8216325 8278123 8354745 8464365 8619975 8671383 8946665 9029475 9036765 9216753 9386195 9605115 9766575 9840033 9969141 10152415 10323075 10458903 10634715 10643301 10830225 10972325 11082825 11148921 11312691 11502855 11696643 11714325 11850111 11868025 12067965 12270825 12451075 12525331 12651471 12817467 13042575 13053105 13272525 13447161 13673205 13924575 14107275 14213381 14452305 14789385 15061275 15361255 15373657 15515955 16008525 16103997 16400055 16615235 16769025 16895151 17431505 17724525 17738835 18137925 18274347 18581535 18854485 19142487 19171425 19494405 19750185 20113275 20705139 21085785 21362445 21722337 21755175 22411935 22788675 22960077 23261329 23476635 23495589 24087175 24404107 24648975 24834369 25393095 25859925 26014149 26396279 26839995 27333425 27650259 28158585 28815345 29520099 29564725 29907423 30457245 30969225 31376709 31904145 31929903 32490675 32916975 33938073 34508565 35142975 35550333 35604075 36203895 36812475 37353225 37575993 38266795 38452401 39127725 39159315 39817575 40341483 41390615 41773725 42321825 42640143 43356915 44733325 45183825 46083765 46120971 46930975 48025575 48311991 49200165 49845705 50685453 50762075 52294515 53173575 53216505 54823041 55744605 56563455 57514275 57946861 58483215 59250555 60339825 62626655 63257355 64087335 65265525 67235805 68366025 68880231 69783987 71066905 72261525 73212321 73946925 74503107 76806275 76868285 77579775 78042447 79188837 80519985 82000275 82950777 83076175 84475755 87157525 88560297 88694175 89722269 91371735 92907675 94130127 94272425 95712435 95789709 97472025 98750925 99493667 101814219 103525695 105428925 106812225 107615599 108611685 112059675 112727979 114800385 116306645 117383175 117477945 122020535 124171845 126965475 127920429 130070745 131981395 134199975 138251295 138362913 140792925 144076725 144935973 147600495 149537115 152056359 152286225 156883545 159520725 159649515 162829303 164469123 169690365 172542825 173840583 177751665 181019475 184773953 187879965 191333975 192262005 195796575 199857541 201707415 206640693 206953075 209351961 213200715 216784575 219636963 223509321 230418825 230604855 237566511 241559955 246000825 248852331 249228525 253427265 261472575 266082525 269166807 274115205 278723025 282390381 282817275 289734305 292416075 296252775 298481001 305442657 313133275 316286775 320436675 322846797 336179025 338183937 344401155 348919935 355334525 366061605 372515535 383761287 384341425 390212235 395944185 402599925 405628027 414753885 415088739 422378775 442801485 448611345 456858675 470650635 478562175 478948545 488487909 497468335 509071095 517628475 521521749 538077995 543058425 554321859 563639895 574001925 581533225 587389725 599572623 610102675 619922079 620859225 628055883 639602145 650353725 658910889 659906975 670527963 691256475 691814565 712699533 724679865 738002475 747685575 753309193 760281795 784417725 798247575 814146515 822345615 848451825 869202915 888758325 895443003 923869765 939399825 961310025 968540391 999287705 1008537075 1014551811 1033203465 1046759805 1066003575 1098184815 1117546605 1151283861 1153024275 1187832555 1207799775 1216884081 1244261655 1245266217 1267136325 1293417671 1345834035 1370576025 1399002787 1411951905 1448671525 1465463727 1492405005 1527213285 1564565247 1614233985 1662965577 1690919685 1722005775 1744599675 1798717869 1830308025 1862577675 1884167649 1918806435 1951061175 1976732667 1979720925 2028140135 2073769425 2075443695 2138098599 2214007425 2243056725 2259927579 2353253175 2394742725 2442439545 2487341675 2545355475 2607608745 2686329009 2690389975 2771609295 2818199475 2905621173 2997863115 3099610395 3140279415 3198010725 3294554445 3352639815 3459072825 3563497665 3623399325 3650652243 3766545965 3801408975 3880253013 4070732575 4111728075 4197008361 4346014575 4396391181 4477215015 4619348825 4693695741 4842701955 4988896731 4996438525 5072759055 5166017325 5233799025 5273164351 5396153607 5490924075 5587733025 5756419305 5939162775 6084420405 6221308275 6226331085 6467088355 6729170175 6779782737 6995013935 7059759525 7327318635 7462025025 7636066425 7822826235 8058987027 8071169925 8314827885 8454598425 8716863519 8993589345 9420838245 9594032175 9793019509 9883663335 10140700675 10377218475 10690492995 10951956729 11299637895 11640759039 12212197725 12591025083 13038043725 13189173543 13431645045 13858046475 14528105865 14966690193 14989315575 15498051975 15701397075 15819493053 16188460821 16472772225 16763199075 17817488325 18253261215 18832729825 19401265065 20339348211 20985041805 21981955905 22386075075 23468478705 24213509775 24944483655 25363795275 26365821755 26980768035 28782096525 29379058527 30422102025 31131655425 32335441775 32855870187 33898913685 34922277117 34975069675 36636593175 37773075249 39114131175 40294935135 41574139425 43584317595 44967946725 47104191225 47458479159 48965097545 49418316675 53452464975 54759783645 56498189475 58203795195 61018044633 62955125415 65945867715 67158225225 68551136563 72640529325 74833450965 79097465265 80942304105 88137175581 91266306075 97006325325 101696741055 104766831351 104925209025 109909779525 113319225747 117342393525 124722418275 131829108775 134903840175 142375437477 146895292635 164279350935 169494568425 174611385585 188865376245 201474675675 205653409689 217921587975 237292395795 244825487725 264411526743 273798918225 291018975975 305090223165 314775627075 329729338575 342755682815 374167254825 395487326325 404711520525 427126312431 440685877905 508483705275 523834156755 566596128735 616960229067 711877187385 734476463175 793234580229 821396754675 873056927925 944326881225 1028267048445 1186461978975 1322057633715 1525451115825 1713778414075 1850880687201 2135631562155 2203429389525 2619170783775 2832980643675 3084801145335 3559385936925 3966172901145 5141335242225 5552642061603 6610288168575 9254403436005 10678157810775 15424005726675 19830864505725 27763210308015 46272017180025 138816051540075
- Sum of all divisors σ(n): 331735496215200
- Sum of proper divisors (its aliquot sum) s(n): 192919444675125
- 138816051540075 is an abundant number, because the sum of its proper divisors (192919444675125) is greater than itself. Its abundance is 54103393135050
Bases of 138816051540075
- Binary: 111111001000000101000010111000011110000011010112
- Hexadecimal: 0x7E40A170F06B
- Base-36: 1D7F7OYNOR
Squares and roots of 138816051540075
- 138816051540075 squared (1388160515400752) is 19269896165176758779331005625
- 138816051540075 cubed (1388160515400753) is 2674970899237070542134148620468479737921875
-
The
square root of 138816051540075 is 11782022.3875222287 -
The
cube root of 138816051540075 is 51778.1539464531
Scales and comparisons
How big is 138816051540075?- 138,816,051,540,075 seconds is equal to 4,413,921 years, 2 weeks, 5 days, 4 hours, 41 minutes, 15 seconds.
-
To count from 1 to 138,816,051,540,075 would take you about eleven million, thirty-four thousand, eight hundred 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 138816051540075 cubic inches would be around 4314.8 feet tall.
Recreational maths with 138816051540075
- 138816051540075 backwards is 570045150618831
- The number of decimal digits it has is: 15
- The sum of 138816051540075's digits is 54
- More coming soon!
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The information we have on file for 138816051540075 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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