138106143012513600
138,106,143,012,513,600 is an even composite number composed of five prime numbers multiplied together.
What does the number 138106143012513600 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 630 divisors.
138106143012513600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred thirty divisors.
Prime factorization of 138106143012513600:
26 × 34 × 52 × 421 × 503112
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 421 × 50311 × 50311)See below for interesting mathematical facts about the number 138106143012513600 from the Numbermatics database.
Names of 138106143012513600
- Cardinal: 138106143012513600 can be written as One hundred thirty-eight quadrillion, one hundred six trillion, one hundred forty-three billion, twelve million, five hundred thirteen thousand, six hundred.
Scientific notation
- Scientific notation: 1.381061430125136 × 1017
Factors of 138106143012513600
Divisors of 138106143012513600
- Number of divisors d(n): 630
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 135 144 150 160 162 180 192 200 216 225 240 270 288 300 320 324 360 400 405 421 432 450 480 540 576 600 648 675 720 800 810 842 864 900 960 1080 1200 1263 1296 1350 1440 1600 1620 1684 1728 1800 2025 2105 2160 2400 2526 2592 2700 2880 3240 3368 3600 3789 4050 4210 4320 4800 5052 5184 5400 6315 6480 6736 7200 7578 8100 8420 8640 10104 10525 10800 11367 12630 12960 13472 14400 15156 16200 16840 18945 20208 21050 21600 22734 25260 25920 26944 30312 31575 32400 33680 34101 37890 40416 42100 43200 45468 50311 50520 56835 60624 63150 64800 67360 68202 75780 80832 84200 90936 94725 100622 101040 113670 121248 126300 129600 134720 136404 150933 151560 168400 170505 181872 189450 201244 202080 227340 242496 251555 252600 272808 284175 301866 303120 336800 341010 363744 378900 402488 404160 452799 454680 503110 505200 545616 568350 603732 606240 673600 682020 727488 754665 757800 804976 852525 905598 909360 1006220 1010400 1091232 1136700 1207464 1212480 1257775 1358397 1364040 1509330 1515600 1609952 1705050 1811196 1818720 2012440 2020800 2182464 2263995 2273400 2414928 2515550 2716794 2728080 3018660 3031200 3219904 3410100 3622392 3637440 3773325 4024880 4075191 4527990 4546800 4829856 5031100 5433588 5456160 6037320 6062400 6791985 6820200 7244784 7546650 8049760 8150382 9055980 9093600 9659712 10062200 10867176 10912320 11319975 12074640 13583970 13640400 14489568 15093300 16099520 16300764 18111960 18187200 20124400 20375955 21180931 21734352 22639950 24149280 27167940 27280800 28979136 30186600 32601528 33959925 36223920 40248800 40751910 42361862 43468704 45279900 48298560 54335880 54561600 60373200 63542793 65203056 67919850 72447840 80497600 81503820 84723724 86937408 90559800 101879775 105904655 108671760 120746400 127085586 130406112 135839700 144895680 163007640 169447448 181119600 190628379 203759550 211809310 217343520 241492800 254171172 260812224 271679400 317713965 326015280 338894896 362239200 381256758 407519100 423618620 434687040 508342344 529523275 543358800 571885137 635427930 652030560 677789792 724478400 762513516 815038200 847237240 953141895 1016684688 1059046550 1086717600 1143770274 1270855860 1304061120 1355579584 1525027032 1588569825 1630076400 1694474480 1715655411 1906283790 2033369376 2118093100 2173435200 2287540548 2531196721 2541711720 2859425685 3050054064 3177139650 3260152800 3388948960 3431310822 3812567580 4066738752 4236186200 4575081096 4765709475 5062393442 5083423440 5718851370 6100108128 6354279300 6520305600 6777897920 6862621644 7593590163 7625135160 8472372400 8578277055 9150162192 9531418950 10124786884 10166846880 11437702740 12200216256 12655983605 12708558600 13725243288 14297128425 15187180326 15250270320 16944744800 17156554110 18300324384 19062837900 20249573768 20333693760 22780770489 22875405480 25311967210 25417117200 27450486576 28594256850 30374360652 30500540640 33889489600 34313108220 36600648768 37967950815 38125675800 40499147536 42891385275 45561540978 45750810960 50623934420 50834234400 54900973152 57188513700 60748721304 61001081280 63279918025 68342311467 68626216440 75935901630 76251351600 80998295072 85782770550 91123081956 91501621920 101247868840 101668468800 109801946304 113903852445 114377027400 121497442608 126559836050 136684622934 137252432880 151871803260 152502703200 161996590144 171565541100 182246163912 183003243840 189839754075 202495737680 205026934401 227807704890 228754054800 242994885216 253119672100 273369245868 274504865760 303743606520 305005406400 341711557335 343131082200 364492327824 379679508150 404991475360 410053868802 455615409780 457508109600 485989770432 506239344200 546738491736 549009731520 569519262225 607487213040 683423114670 686262164400 728984655648 759359016300 809982950720 820107737604 911230819560 915016219200 1012478688400 1025134672005 1065633819541 1093476983472 1139038524450 1214974426080 1366846229340 1372524328800 1457969311296 1518718032600 1640215475208 1708557786675 1822461639120 2024957376800 2050269344010 2131267639082 2186953966944 2278077048900 2429948852160 2733692458680 2745048657600 3037436065200 3196901458623 3280430950416 3417115573350 3644923278240 4049914753600 4100538688020 4262535278164 4373907933888 4556154097800 5125673360025 5328169097705 5467384917360 6074872130400 6393802917246 6560861900832 6834231146700 7289846556480 8201077376040 8525070556328 9112308195600 9590704375869 10251346720050 10656338195410 10934769834720 12149744260800 12787605834492 13121723801664 13668462293400 15984507293115 16402154752080 17050141112656 18224616391200 19181408751738 20502693440100 21312676390820 21869539669440 25575211668984 26640845488525 27336924586800 28772113127607 31969014586230 32804309504160 34100282225312 36449232782400 38362817503476 41005386880200 42625352781640 47953521879345 51150423337968 53281690977050 54673849173600 57544226255214 63938029172460 65608619008320 68200564450624 76725635006952 79922536465575 82010773760400 85250705563280 86316339382821 95907043758690 102300846675936 106563381954100 109347698347200 115088452510428 127876058344920 143860565638035 153451270013904 159845072931150 164021547520800 170501411126560 172632678765642 191814087517380 204601693351872 213126763908200 230176905020856 239767609396725 255752116689840 287721131276070 306902540027808 319690145862300 328043095041600 341002822253120 345265357531284 383628175034760 426253527816400 431581696914105 460353810041712 479535218793450 511504233379680 575442262552140 613805080055616 639380291724600 690530715062568 719302828190175 767256350069520 852507055632800 863163393828210 920707620083424 959070437586900 1023008466759360 1150884525104280 1278760583449200 1381061430125136 1438605656380350 1534512700139040 1705014111265600 1726326787656420 1841415240166848 1918140875173800 2157908484570525 2301769050208560 2557521166898400 2762122860250272 2877211312760700 3069025400278080 3452653575312840 3836281750347600 4315816969141050 4603538100417120 5115042333796800 5524245720500544 5754422625521400 6905307150625680 7672563500695200 8631633938282100 9207076200834240 11508845251042800 13810614301251360 15345127001390400 17263267876564200 23017690502085600 27621228602502720 34526535753128400 46035381004171200 69053071506256800 138106143012513600
- Sum of all divisors σ(n): 508859360228244102
- Sum of proper divisors (its aliquot sum) s(n): 370753217215730502
- 138106143012513600 is an abundant number, because the sum of its proper divisors (370753217215730502) is greater than itself. Its abundance is 232647074203216902
Bases of 138106143012513600
- Binary: 1111010101010011011001110001010111000111101100111010000002
- Hexadecimal: 0x1EAA6CE2B8F6740
- Base-36: 11RUJI8APG00
Squares and roots of 138106143012513600
- 138106143012513600 squared (1381061430125136002) is 19073306737792859062246190184960000
- 138106143012513600 cubed (1381061430125136003) is 2634140828051159829223462964050606134778515456000000
-
The
square root of 138106143012513600 is 371626348.6521288091 -
The
cube root of 138106143012513600 is 516897.3815866329
Scales and comparisons
How big is 138106143012513600?- 138,106,143,012,513,600 seconds is equal to 4,391,348,157 years, 23 weeks, 2 days, 12 hours.
-
To count from 1 to 138,106,143,012,513,600 would take you about thirteen billion, one hundred seventy-four million, forty-four thousand, four 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 138106143012513600 cubic inches would be around 43074.8 feet tall.
Recreational maths with 138106143012513600
- 138106143012513600 backwards is 006315210341601831
- 138106143012513600 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138106143012513600's digits is 45
- More coming soon!
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The information we have on file for 138106143012513600 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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