138141046407168
138,141,046,407,168 is an even composite number composed of five prime numbers multiplied together.
138141046407168 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138141046407168:
227 × 32 × 7 × 17 × 312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 17 × 31 × 31)See below for interesting mathematical facts about the number 138141046407168 from the Numbermatics database.
Names of 138141046407168
- Cardinal: 138141046407168 can be written as One hundred thirty-eight trillion, one hundred forty-one billion, forty-six million, four hundred seven thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38141046407168 × 1014
Factors of 138141046407168
Divisors of 138141046407168
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 31 32 34 36 42 48 51 56 62 63 64 68 72 84 93 96 102 112 119 124 126 128 136 144 153 168 186 192 204 217 224 238 248 252 256 272 279 288 306 336 357 372 384 408 434 448 476 496 504 512 527 544 558 576 612 651 672 714 744 768 816 868 896 952 961 992 1008 1024 1054 1071 1088 1116 1152 1224 1302 1344 1428 1488 1536 1581 1632 1736 1792 1904 1922 1953 1984 2016 2048 2108 2142 2176 2232 2304 2448 2604 2688 2856 2883 2976 3072 3162 3264 3472 3584 3689 3808 3844 3906 3968 4032 4096 4216 4284 4352 4464 4608 4743 4896 5208 5376 5712 5766 5952 6144 6324 6528 6727 6944 7168 7378 7616 7688 7812 7936 8064 8192 8432 8568 8649 8704 8928 9216 9486 9792 10416 10752 11067 11424 11532 11904 12288 12648 13056 13454 13888 14336 14756 15232 15376 15624 15872 16128 16337 16384 16864 17136 17298 17408 17856 18432 18972 19584 20181 20832 21504 22134 22848 23064 23808 24576 25296 26112 26908 27776 28672 29512 30464 30752 31248 31744 32256 32674 32768 33201 33728 34272 34596 34816 35712 36864 37944 39168 40362 41664 43008 44268 45696 46128 47616 49011 49152 50592 52224 53816 55552 57344 59024 60543 60928 61504 62496 63488 64512 65348 65536 66402 67456 68544 69192 69632 71424 73728 75888 78336 80724 83328 86016 88536 91392 92256 95232 98022 98304 101184 104448 107632 111104 114359 114688 118048 121086 121856 123008 124992 126976 129024 130696 131072 132804 134912 137088 138384 139264 142848 147033 147456 151776 156672 161448 166656 172032 177072 182784 184512 190464 196044 196608 202368 208896 215264 222208 228718 229376 236096 242172 243712 246016 249984 253952 258048 261392 262144 265608 269824 274176 276768 278528 285696 294066 294912 303552 313344 322896 333312 343077 344064 354144 365568 369024 380928 392088 393216 404736 417792 430528 444416 457436 458752 472192 484344 487424 492032 499968 507904 516096 522784 524288 531216 539648 548352 553536 557056 571392 588132 589824 607104 626688 645792 666624 686154 688128 708288 731136 738048 761856 784176 786432 809472 835584 861056 888832 914872 917504 944384 968688 974848 984064 999936 1015808 1029231 1032192 1045568 1048576 1062432 1079296 1096704 1107072 1114112 1142784 1176264 1179648 1214208 1253376 1291584 1333248 1372308 1376256 1416576 1462272 1476096 1523712 1568352 1572864 1618944 1671168 1722112 1777664 1829744 1835008 1888768 1937376 1949696 1968128 1999872 2031616 2058462 2064384 2091136 2097152 2124864 2158592 2193408 2214144 2228224 2285568 2352528 2359296 2428416 2506752 2583168 2666496 2744616 2752512 2833152 2924544 2952192 3047424 3136704 3145728 3237888 3342336 3444224 3555328 3659488 3670016 3777536 3874752 3899392 3936256 3999744 4063232 4116924 4128768 4182272 4194304 4249728 4317184 4386816 4428288 4456448 4571136 4705056 4718592 4856832 5013504 5166336 5332992 5489232 5505024 5666304 5849088 5904384 6094848 6273408 6291456 6475776 6684672 6888448 7110656 7318976 7340032 7555072 7749504 7798784 7872512 7999488 8126464 8233848 8257536 8364544 8388608 8499456 8634368 8773632 8856576 8912896 9142272 9410112 9437184 9713664 10027008 10332672 10665984 10978464 11010048 11332608 11698176 11808768 12189696 12546816 12582912 12951552 13369344 13776896 14221312 14637952 14680064 15110144 15499008 15597568 15745024 15998976 16252928 16467696 16515072 16729088 16777216 16998912 17268736 17547264 17713152 17825792 18284544 18820224 18874368 19427328 20054016 20665344 21331968 21956928 22020096 22665216 23396352 23617536 24379392 25093632 25165824 25903104 26738688 27553792 28442624 29275904 29360128 30220288 30998016 31195136 31490048 31997952 32505856 32935392 33030144 33458176 33554432 33997824 34537472 35094528 35426304 35651584 36569088 37640448 37748736 38854656 40108032 41330688 42663936 43913856 44040192 45330432 46792704 47235072 48758784 50187264 50331648 51806208 53477376 55107584 56885248 58551808 58720256 60440576 61996032 62390272 62980096 63995904 65011712 65870784 66060288 66916352 67108864 67995648 69074944 70189056 70852608 71303168 73138176 75280896 75497472 77709312 80216064 82661376 85327872 87827712 88080384 90660864 93585408 94470144 97517568 100374528 100663296 103612416 106954752 110215168 113770496 117103616 117440512 120881152 123992064 124780544 125960192 127991808 130023424 131741568 132120576 133832704 134217728 135991296 138149888 140378112 141705216 142606336 146276352 150561792 150994944 155418624 160432128 165322752 170655744 175655424 176160768 181321728 187170816 188940288 195035136 200749056 201326592 207224832 213909504 220430336 227540992 234207232 234881024 241762304 247984128 249561088 251920384 255983616 260046848 263483136 264241152 267665408 271982592 276299776 280756224 283410432 285212672 292552704 301123584 301989888 310837248 320864256 330645504 341311488 351310848 352321536 362643456 374341632 377880576 390070272 401498112 402653184 414449664 427819008 440860672 455081984 468414464 469762048 483524608 495968256 499122176 503840768 511967232 520093696 526966272 528482304 535330816 543965184 552599552 561512448 566820864 570425344 585105408 602247168 603979776 621674496 641728512 661291008 682622976 702621696 704643072 725286912 748683264 755761152 780140544 802996224 828899328 855638016 881721344 910163968 936828928 939524096 967049216 991936512 998244352 1007681536 1023934464 1040187392 1053932544 1056964608 1070661632 1087930368 1105199104 1123024896 1133641728 1140850688 1170210816 1204494336 1207959552 1243348992 1283457024 1322582016 1365245952 1405243392 1409286144 1450573824 1497366528 1511522304 1560281088 1605992448 1657798656 1711276032 1763442688 1820327936 1873657856 1934098432 1983873024 1996488704 2015363072 2047868928 2080374784 2107865088 2113929216 2141323264 2175860736 2210398208 2246049792 2267283456 2281701376 2340421632 2408988672 2486697984 2566914048 2645164032 2730491904 2810486784 2818572288 2901147648 2994733056 3023044608 3120562176 3211984896 3315597312 3422552064 3526885376 3640655872 3747315712 3868196864 3967746048 3992977408 4030726144 4095737856 4160749568 4215730176 4227858432 4282646528 4351721472 4420796416 4492099584 4534566912 4680843264 4817977344 4973395968 5133828096 5290328064 5460983808 5620973568 5802295296 5989466112 6046089216 6241124352 6423969792 6631194624 6845104128 7053770752 7281311744 7494631424 7736393728 7935492096 7985954816 8061452288 8191475712 8431460352 8455716864 8565293056 8703442944 8841592832 8984199168 9069133824 9361686528 9635954688 9946791936 10267656192 10580656128 10921967616 11241947136 11604590592 11978932224 12092178432 12482248704 12847939584 13262389248 14107541504 14562623488 14989262848 15472787456 15870984192 15971909632 16122904576 16382951424 16862920704 17130586112 17406885888 17683185664 17968398336 18138267648 18723373056 19271909376 19893583872 20535312384 21161312256 21843935232 22483894272 23209181184 23957864448 24184356864 25695879168 26524778496 28215083008 29125246976 29978525696 30945574912 31741968384 32245809152 32765902848 33725841408 34261172224 34813771776 35366371328 35936796672 36276535296 37446746112 38543818752 39787167744 42322624512 43687870464 44967788544 46418362368 47915728896 48368713728 51391758336 53049556992 56430166016 59957051392 61891149824 63483936768 64491618304 65531805696 67451682816 68522344448 69627543552 70732742656 71873593344 72553070592 77087637504 79574335488 84645249024 87375740928 89935577088 92836724736 96737427456 102783516672 106099113984 112860332032 119914102784 123782299648 126967873536 128983236608 131063611392 134903365632 137044688896 139255087104 143747186688 145106141184 154175275008 159148670976 169290498048 179871154176 185673449472 193474854912 205567033344 212198227968 225720664064 239828205568 247564599296 253935747072 262127222784 269806731264 274089377792 278510174208 290212282368 308350550016 318297341952 338580996096 359742308352 371346898944 386949709824 411134066688 451441328128 479656411136 495129198592 507871494144 539613462528 548178755584 557020348416 580424564736 616701100032 636594683904 677161992192 719484616704 742693797888 822268133376 902882656256 959312822272 1015742988288 1079226925056 1096357511168 1114040696832 1160849129472 1233402200064 1354323984384 1438969233408 1485387595776 1644536266752 1918625644544 2031485976576 2158453850112 2192715022336 2228081393664 2466804400128 2708647968768 2877938466816 3289072533504 3837251289088 4062971953152 4316907700224 4456162787328 4933608800256 5755876933632 6578145067008 7674502578176 8125943906304 8633815400448 9867217600512 11511753867264 15349005156352 17267630800896 19734435201024 23023507734528 34535261601792 46047015469056 69070523203584 138141046407168
- Sum of all divisors σ(n): 498993593557680
- Sum of proper divisors (its aliquot sum) s(n): 360852547150512
- 138141046407168 is an abundant number, because the sum of its proper divisors (360852547150512) is greater than itself. Its abundance is 222711500743344
Bases of 138141046407168
- Binary: 111110110100011011110000000000000000000000000002
- Hexadecimal: 0x7DA378000000
- Base-36: 1CYT4CC1S0
Squares and roots of 138141046407168
- 138141046407168 squared (1381410464071682) is 19082948702467343001241780224
- 138141046407168 cubed (1381410464071683) is 2636138502293147600318541934175087474245632
-
The
square root of 138141046407168 is 11753341.9250512745 -
The
cube root of 138141046407168 is 51694.0922864037
Scales and comparisons
How big is 138141046407168?- 138,141,046,407,168 seconds is equal to 4,392,457 years, 50 weeks, 5 days, 18 hours, 52 minutes, 48 seconds.
-
To count from 1 to 138,141,046,407,168 would take you about ten million, nine hundred eighty-one thousand, one hundred forty-four 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 138141046407168 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138141046407168
- 138141046407168 backwards is 861704640141831
- The number of decimal digits it has is: 15
- The sum of 138141046407168's digits is 54
- More coming soon!
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The information we have on file for 138141046407168 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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