138107144832000
138,107,144,832,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138107144832000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1408 divisors.
138107144832000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 138107144832000:
210 × 3 × 53 × 17 × 37 × 833
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 37 × 83 × 83 × 83)See below for interesting mathematical facts about the number 138107144832000 from the Numbermatics database.
Names of 138107144832000
- Cardinal: 138107144832000 can be written as One hundred thirty-eight trillion, one hundred seven billion, one hundred forty-four million, eight hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.38107144832 × 1014
Factors of 138107144832000
Divisors of 138107144832000
- Number of divisors d(n): 1408
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 37 40 48 50 51 60 64 68 74 75 80 83 85 96 100 102 111 120 125 128 136 148 150 160 166 170 185 192 200 204 222 240 249 250 255 256 272 296 300 320 332 340 370 375 384 400 408 415 425 444 480 498 500 510 512 544 555 592 600 629 640 664 680 740 750 768 800 816 830 850 888 925 960 996 1000 1020 1024 1088 1110 1184 1200 1245 1258 1275 1280 1328 1360 1411 1480 1500 1536 1600 1632 1660 1700 1776 1850 1887 1920 1992 2000 2040 2075 2125 2176 2220 2368 2400 2490 2516 2550 2560 2656 2720 2775 2822 2960 3000 3071 3072 3145 3200 3264 3320 3400 3552 3700 3774 3840 3984 4000 4080 4150 4233 4250 4352 4440 4625 4736 4800 4980 5032 5100 5120 5312 5440 5550 5644 5920 6000 6142 6225 6290 6375 6400 6528 6640 6800 6889 7055 7104 7400 7548 7680 7968 8000 8160 8300 8466 8500 8704 8880 9213 9250 9435 9472 9600 9960 10064 10200 10375 10624 10880 11100 11288 11840 12000 12284 12450 12580 12750 12800 13056 13280 13600 13778 13875 14110 14208 14800 15096 15355 15360 15725 15936 16000 16320 16600 16932 17000 17408 17760 18426 18500 18870 18944 19200 19920 20128 20400 20667 20750 21165 21248 21760 22200 22576 23680 24000 24568 24900 25160 25500 25600 26112 26560 27200 27556 27750 28220 28416 29600 30192 30710 31125 31450 31872 32000 32640 33200 33864 34000 34445 35275 35520 36852 37000 37740 37888 38400 39840 40256 40800 41334 41500 42330 42496 43520 44400 45152 46065 47175 47360 48000 49136 49800 50320 51000 52207 52224 53120 54400 55112 55500 56440 56832 59200 60384 61420 62250 62900 63744 64000 65280 66400 67728 68000 68890 70550 71040 73704 74000 75480 76775 76800 78625 79680 80512 81600 82668 83000 84660 84992 87040 88800 90304 92130 94350 94720 96000 98272 99600 100640 102000 103335 104414 105825 106240 108800 110224 111000 112880 113664 117113 118400 120768 122840 124500 125800 127488 128000 130560 132800 135456 136000 137780 141100 142080 147408 148000 150960 153550 156621 157250 159360 161024 163200 165336 166000 169320 172225 176375 177600 180608 184260 188700 189440 192000 196544 199200 201280 204000 206670 208828 211650 212480 217600 220448 222000 225760 230325 234226 235875 236800 241536 245680 249000 251600 254893 254976 261035 261120 265600 270912 272000 275560 282200 284160 294816 296000 301920 307100 313242 314500 318720 322048 326400 330672 332000 338640 344450 351339 352750 355200 361216 368520 377400 383875 384000 393088 398400 402560 408000 413340 417656 423300 424960 435200 440896 444000 451520 460650 468452 471750 473600 483072 491360 498000 503200 509786 516675 522070 529125 531200 541824 544000 551120 564400 568320 571787 585565 589632 592000 603840 614200 626484 629000 637440 644096 652800 661344 664000 677280 688900 702678 705500 710400 722432 737040 754800 764679 767750 783105 786176 796800 805120 816000 826680 835312 846600 861125 881792 888000 903040 921300 936904 943500 947200 966144 982720 996000 1006400 1019572 1033350 1044140 1058250 1062400 1083648 1088000 1102240 1128800 1143574 1151625 1171130 1179264 1184000 1207680 1228400 1252968 1258000 1274465 1274880 1305175 1305600 1322688 1328000 1354560 1377800 1405356 1411000 1420800 1444864 1474080 1509600 1529358 1535500 1566210 1572352 1593600 1610240 1632000 1653360 1670624 1693200 1715361 1722250 1756695 1763584 1776000 1806080 1842600 1873808 1887000 1932288 1965440 1992000 2012800 2039144 2066700 2088280 2116500 2124800 2167296 2176000 2204480 2257600 2287148 2303250 2342260 2358528 2368000 2415360 2456800 2505936 2516000 2548930 2583375 2610350 2645376 2656000 2709120 2755600 2810712 2822000 2841600 2858935 2927825 2948160 3019200 3058716 3071000 3132420 3144704 3187200 3220480 3264000 3306720 3341248 3386400 3430722 3444500 3513390 3527168 3552000 3612160 3685200 3747616 3774000 3823395 3915525 3930880 3984000 4025600 4078288 4133400 4176560 4233000 4333181 4334592 4408960 4515200 4574296 4606500 4684520 4717056 4736000 4830720 4913600 5011872 5032000 5097860 5166750 5220700 5290752 5312000 5418240 5511200 5621424 5644000 5717870 5855650 5896320 6038400 6117432 6142000 6264840 6372325 6374400 6525875 6528000 6613440 6682496 6772800 6861444 6889000 7026780 7054336 7104000 7224320 7370400 7495232 7548000 7646790 7831050 7861760 7968000 8051200 8156576 8266800 8353120 8466000 8576805 8666362 8783475 8817920 9030400 9148592 9213000 9369040 9434112 9661440 9720379 9827200 10023744 10064000 10195720 10333500 10441400 10581504 10624000 10836480 11022400 11242848 11288000 11435740 11711300 11792640 12076800 12234864 12284000 12529680 12744650 12999543 13051750 13226880 13364992 13545600 13722888 13778000 14053560 14208000 14294675 14639125 14740800 14990464 15096000 15293580 15662100 15723520 15936000 16102400 16313152 16533600 16706240 16932000 17153610 17332724 17566950 17635840 18060800 18297184 18426000 18738080 19116975 19440758 19577625 19654400 20047488 20128000 20391440 20667000 20882800 21156119 21163008 21665905 21672960 22044800 22485696 22576000 22871480 23422600 23585280 24153600 24469728 24568000 25059360 25489300 25999086 26103500 26453760 26729984 27091200 27445776 27556000 28107120 28589350 29161137 29278250 29481600 29980928 30192000 30587160 31324200 31861625 31872000 32626304 33067200 33412480 33864000 34307220 34665448 35133900 35271680 36121600 36594368 36852000 37476160 38233950 38881516 39155250 39308800 40094976 40256000 40782880 41334000 41765600 42312238 42884025 43331810 43917375 44089600 44971392 45152000 45742960 46845200 47170560 48307200 48601895 48939456 49136000 50118720 50978600 51998172 52207000 52907520 53459968 54182400 54891552 55112000 56214240 57178700 58322274 58556500 58963200 59961856 60384000 61174320 62648400 63468357 63723250 64997715 65252608 66134400 66824960 67728000 68614440 69330896 70267800 71473375 73188736 73704000 74952320 76467900 77763032 78310500 78617600 80189952 80512000 81565760 82668000 83531200 84624476 85768050 86663620 87834750 88179200 89942784 90304000 91485920 93690400 95584875 97203790 97878912 98272000 100237440 101957200 103996344 104414000 105780595 105815040 108329525 108364800 109783104 110224000 112428480 114357400 116644548 117113000 117926400 119923712 120768000 122348640 125296800 126936714 127446500 129995430 130505216 132268800 133649920 135456000 137228880 138661792 140535600 142946750 145805685 146377472 147408000 149904640 152935800 155526064 156621000 160379904 163131520 165336000 167062400 169248952 171536100 173327240 175669500 176358400 179885568 180608000 182971840 187380800 191169750 194407580 195757824 196544000 200474880 203914400 207992688 208828000 211561190 214420125 216659050 219566208 220448000 224856960 228714800 233289096 234226000 235852800 241536000 243009475 244697280 250593600 253873428 254893000 259990860 261010432 264537600 267299840 270912000 274457760 277323584 281071200 285893500 291611370 292754944 294816000 299809280 305871600 311052128 313242000 317341785 324988575 326263040 330672000 334124800 338497904 343072200 346654480 351339000 359654023 359771136 365943680 374761600 382339500 388815160 391515648 393088000 400949760 407828800 415985376 417656000 423122380 428840250 433318100 439132416 440896000 449713920 457429600 466578192 468452000 486018950 489394560 501187200 507746856 509786000 519981720 528902975 529075200 541647625 541824000 548915520 554647168 562142400 571787000 583222740 585509888 589632000 599618560 611743200 622104256 626484000 634683570 649977150 652526080 661344000 668249600 676995808 686144400 693308960 702678000 719308046 729028425 731887360 749523200 764679000 777630320 783031296 801899520 815657600 831970752 835312000 846244760 857680500 866636200 878264832 881792000 899427840 914859200 933156384 936904000 972037900 978789120 1002374400 1015493712 1019572000 1039963440 1057805950 1078962069 1083295250 1097831040 1109294336 1124284800 1143574000 1166445480 1179264000 1215047375 1223486400 1244208512 1252968000 1269367140 1299954300 1305052160 1322688000 1336499200 1353991616 1372288800 1386617920 1405356000 1438616092 1458056850 1463774720 1499046400 1529358000 1555260640 1586708925 1624942875 1631315200 1663941504 1670624000 1692489520 1715361000 1733272400 1756529664 1798270115 1798855680 1829718400 1866312768 1873808000 1944075800 1957578240 2004748800 2030987424 2039144000 2079926880 2115611900 2157924138 2166590500 2195662080 2218588672 2248569600 2287148000 2332890960 2430094750 2446972800 2488417024 2505936000 2538734280 2599908600 2644514875 2645376000 2707983232 2744577600 2773235840 2810712000 2877232184 2916113700 2927549440 2998092800 3058716000 3110521280 3173417850 3249885750 3262630400 3327883008 3341248000 3384979040 3430722000 3466544800 3596540230 3645142125 3659436800 3732625536 3747616000 3888151600 3915156480 4009497600 4061974848 4078288000 4159853760 4231223800 4315848276 4333181000 4391324160 4437177344 4497139200 4574296000 4665781920 4860189500 4893945600 4976834048 5011872000 5077468560 5199817200 5289029750 5394810345 5415966464 5489155200 5546471680 5621424000 5754464368 5832227400 6117432000 6221042560 6346835700 6499771500 6525260800 6655766016 6682496000 6769958080 6861444000 6933089600 7193080460 7290284250 7318873600 7465251072 7495232000 7776303200 7933544625 8123949696 8156576000 8319707520 8462447600 8631696552 8666362000 8782648320 8991350575 8994278400 9148592000 9331563840 9720379000 9787891200 9953668096 10023744000 10154937120 10399634400 10578059500 10789620690 10831932928 10978310400 11092943360 11242848000 11508928736 11664454800 12234864000 12442085120 12693671400 12999543000 13311532032 13539916160 13722888000 13866179200 14386160920 14580568500 14637747200 14930502144 14990464000 15552606400 15867089250 16247899392 16313152000 16639415040 16924895200 17263393104 17332724000 17982701150 18297184000 18663127680 19440758000 19575782400 20047488000 20309874240 20799268800 21156119000 21579241380 21663865856 21956620800 22185886720 22485696000 23017857472 23328909600 24469728000 24884170240 25387342800 25999086000 26974051725 27079832320 27445776000 27732358400 28772321840 29161137000 29861004288 31105212800 31734178500 32495798784 32626304000 33278830080 33849790400 34526786208 34665448000 35965402300 36594368000 37326255360 38881516000 40619748480 41598537600 42312238000 43158482760 43913241600 44956752875 44971392000 46035714944 46657819200 48939456000 49768340480 50774685600 51998172000 53948103450 54159664640 54891552000 55464716800 57544643680 58322274000 62210425600 63468357000 64991597568 66557660160 67699580800 69053572416 69330896000 71930804600 73188736000 74652510720 77763032000 81239496960 83197075200 84624476000 86316965520 89913505750 92071429888 93315638400 97878912000 101549371200 103996344000 107896206900 108319329280 109783104000 110929433600 115089287360 116644548000 124420851200 126936714000 134870258625 135399161600 138107144832 138661792000 143861609200 149305021440 155526064000 162478993920 166394150400 169248952000 172633931040 179827011500 184142859776 186631276800 203098742400 207992688000 215792413800 219566208000 230178574720 233289096000 248841702400 253873428000 269740517250 270798323200 276214289664 277323584000 287723218400 311052128000 324957987840 332788300800 338497904000 345267862080 359654023000 368285719552 373262553600 406197484800 415985376000 431584827600 460357149440 466578192000 507746856000 539481034500 541596646400 552428579328 554647168000 575446436800 622104256000 676995808000 690535724160 719308046000 746525107200 812394969600 831970752000 863169655200 920714298880 933156384000 1015493712000 1078962069000 1104857158656 1150892873600 1244208512000 1353991616000 1381071448320 1438616092000 1624789939200 1663941504000 1726339310400 1841428597760 1866312768000 2030987424000 2157924138000 2301785747200 2707983232000 2762142896640 2877232184000 3452678620800 3732625536000 4061974848000 4315848276000 4603571494400 5524285793280 5754464368000 6905357241600 8123949696000 8631696552000 9207142988800 11508928736000 13810714483200 17263393104000 23017857472000 27621428966400 34526786208000 46035714944000 69053572416000 138107144832000
- Sum of all divisors σ(n): 505658185643520
- Sum of proper divisors (its aliquot sum) s(n): 367551040811520
- 138107144832000 is an abundant number, because the sum of its proper divisors (367551040811520) is greater than itself. Its abundance is 229443895979520
Bases of 138107144832000
- Binary: 111110110011011100100110100111100000100000000002
- Hexadecimal: 0x7D9B934F0400
- Base-36: 1CYDJO7MYO
Squares and roots of 138107144832000
- 138107144832000 squared (1381071448320002) is 19073583453647024308224000000
- 138107144832000 cubed (1381071448320003) is 2634198152498068344741716576698368000000000
-
The
square root of 138107144832000 is 11751899.6265284703 -
The
cube root of 138107144832000 is 51689.8631438391
Scales and comparisons
How big is 138107144832000?- 138,107,144,832,000 seconds is equal to 4,391,380 years, 4 days, 10 hours, 40 minutes.
-
To count from 1 to 138,107,144,832,000 would take you about ten million, nine hundred seventy-eight thousand, four hundred fifty 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 138107144832000 cubic inches would be around 4307.5 feet tall.
Recreational maths with 138107144832000
- 138107144832000 backwards is 000238441701831
- The number of decimal digits it has is: 15
- The sum of 138107144832000's digits is 42
- More coming soon!
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The information we have on file for 138107144832000 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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