138041904000
138,041,904,000 is an even composite number composed of seven prime numbers multiplied together.
138041904000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 138041904000:
27 × 3 × 53 × 7 × 11 × 133 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 11 × 13 × 13 × 13 × 17)See below for interesting mathematical facts about the number 138041904000 from the Numbermatics database.
Names of 138041904000
- Cardinal: 138041904000 can be written as One hundred thirty-eight billion, forty-one million, nine hundred four thousand.
Scientific notation
- Scientific notation: 1.38041904 × 1011
Factors of 138041904000
Divisors of 138041904000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 20 21 22 24 25 26 28 30 32 33 34 35 39 40 42 44 48 50 51 52 55 56 60 64 65 66 68 70 75 77 78 80 84 85 88 91 96 100 102 104 105 110 112 119 120 125 128 130 132 136 140 143 150 154 156 160 165 168 169 170 175 176 182 187 192 195 200 204 208 210 220 221 224 231 238 240 250 255 260 264 272 273 275 280 286 300 308 312 320 325 330 336 338 340 350 352 357 364 374 375 384 385 390 400 408 416 420 425 429 440 442 448 455 462 476 480 500 507 510 520 525 528 544 546 550 560 561 572 595 600 616 624 640 650 660 663 672 676 680 700 704 714 715 728 748 750 770 780 800 816 825 832 840 845 850 858 875 880 884 896 910 924 935 952 960 975 1000 1001 1014 1020 1040 1050 1056 1088 1092 1100 1105 1120 1122 1144 1155 1183 1190 1200 1232 1248 1275 1300 1309 1320 1326 1344 1352 1360 1365 1375 1400 1408 1428 1430 1456 1496 1500 1540 1547 1560 1600 1625 1632 1650 1664 1680 1690 1700 1716 1750 1760 1768 1785 1820 1848 1859 1870 1904 1920 1925 1950 2000 2002 2028 2040 2080 2100 2112 2125 2145 2176 2184 2197 2200 2210 2240 2244 2275 2288 2310 2366 2380 2400 2431 2464 2496 2535 2550 2600 2618 2625 2640 2652 2688 2704 2720 2730 2750 2800 2805 2856 2860 2873 2912 2975 2992 3000 3003 3080 3094 3120 3200 3250 3264 3300 3315 3360 3380 3400 3432 3500 3520 3536 3549 3570 3575 3640 3696 3718 3740 3808 3850 3900 3927 4000 4004 4056 4080 4125 4160 4200 4224 4225 4250 4290 4368 4394 4400 4420 4480 4488 4550 4576 4620 4641 4675 4732 4760 4800 4862 4875 4928 4992 5005 5070 5100 5200 5236 5250 5280 5304 5408 5440 5460 5500 5525 5577 5600 5610 5712 5720 5746 5775 5824 5915 5950 5984 6000 6006 6160 6188 6240 6375 6500 6528 6545 6591 6600 6630 6720 6760 6800 6825 6864 7000 7040 7072 7098 7140 7150 7280 7293 7392 7436 7480 7616 7700 7735 7800 7854 8000 8008 8112 8160 8250 8320 8400 8450 8500 8580 8619 8736 8788 8800 8840 8925 8976 9100 9152 9240 9282 9295 9350 9464 9520 9600 9625 9724 9750 9856 10010 10140 10200 10400 10472 10500 10560 10608 10725 10816 10880 10920 10985 11000 11050 11154 11200 11220 11375 11424 11440 11492 11550 11648 11830 11900 11968 12000 12012 12155 12320 12376 12480 12675 12750 13000 13013 13090 13182 13200 13260 13440 13520 13600 13650 13728 14000 14025 14144 14196 14280 14300 14365 14560 14586 14784 14872 14875 14960 15015 15232 15379 15400 15470 15600 15708 16000 16016 16224 16320 16500 16575 16800 16900 17000 17017 17160 17238 17472 17576 17600 17680 17745 17850 17875 17952 18200 18304 18480 18564 18590 18700 18928 19040 19250 19448 19500 19635 20020 20111 20280 20400 20800 20944 21000 21120 21125 21216 21450 21632 21840 21970 22000 22100 22308 22400 22440 22750 22848 22880 22984 23100 23205 23375 23660 23800 23936 24000 24024 24167 24310 24640 24752 24960 25025 25350 25500 26000 26026 26180 26364 26400 26520 27040 27200 27300 27456 27625 27885 28000 28050 28288 28392 28560 28600 28730 28875 29120 29172 29568 29575 29744 29750 29920 30030 30758 30800 30940 31200 31416 31603 32032 32448 32640 32725 32955 33000 33150 33600 33800 34000 34034 34125 34320 34476 34944 35152 35200 35360 35490 35700 35750 35904 36400 36465 36960 37128 37180 37349 37400 37856 38080 38500 38675 38896 39000 39039 39270 40040 40222 40560 40800 41600 41888 42000 42250 42432 42900 43095 43680 43940 44000 44200 44616 44625 44880 45500 45696 45760 45968 46137 46200 46410 46475 46750 47320 47600 48000 48048 48334 48620 49280 49504 50050 50700 51000 51051 52000 52052 52360 52728 52800 53040 53625 54080 54400 54600 54912 54925 55250 55770 56000 56100 56784 57120 57200 57460 57750 58240 58344 59150 59488 59500 59840 60060 60333 60775 61516 61600 61880 62400 62832 63206 63375 64064 64896 65065 65450 65910 66000 66300 67200 67600 68000 68068 68250 68640 68952 70125 70304 70720 70980 71400 71500 71808 71825 72501 72800 72930 73920 74256 74360 74698 74800 75075 75712 76160 76895 77000 77350 77792 78000 78078 78540 80080 80444 81120 81600 82875 83776 84000 84500 84864 85085 85800 86190 87360 87880 88000 88400 88725 89232 89250 89760 91000 91520 91936 92274 92400 92820 92950 93500 94640 94809 95200 96096 96668 97240 98175 99008 100100 100555 101400 102000 102102 104000 104104 104720 105456 105600 106080 107250 108160 109200 109850 110500 111540 112000 112047 112200 113568 114240 114400 114920 115500 116025 116688 118300 118976 119000 119680 120120 120666 120835 121550 123032 123200 123760 124800 125125 125664 126412 126750 128128 130130 130900 131820 132000 132600 135200 136000 136136 136500 137280 137904 139425 140250 140608 141440 141960 142800 143000 143650 145002 145600 145860 147840 147875 148512 148720 149396 149600 150150 151424 153790 154000 154700 155584 156000 156156 157080 158015 160160 160888 162240 163200 163625 164775 165750 167552 168000 169000 169169 170170 171600 172380 174720 175760 176000 176800 177450 178464 178500 179520 182000 182325 183872 184548 184800 185640 185900 186745 187000 189280 189618 190400 192192 193336 193375 194480 195195 196350 198016 200200 201110 202800 204000 204204 208000 208208 209440 210912 212160 214500 215475 218400 219700 221000 221221 223080 224094 224400 227136 228480 228800 229840 230685 231000 232050 232375 233376 236600 237952 238000 240240 241332 241670 243100 246064 246400 247520 250250 251328 252824 253500 255255 260260 261443 261800 263640 264000 265200 270400 272000 272272 273000 274560 274625 275808 278850 280500 281216 283920 285600 286000 287300 290004 291200 291720 295750 297024 297440 298792 299200 300300 301665 303875 307580 308000 309400 311168 312000 312312 314160 316030 320320 321776 324480 325325 327250 329550 331500 336000 338000 338338 340340 343200 344760 351520 353600 354900 356928 357000 359040 359125 362505 364000 364650 367744 369096 369600 371280 371800 373490 374000 375375 378560 379236 380800 384384 384475 386672 386750 388960 390390 392700 400400 402220 405600 408000 408408 410839 416416 418880 421824 424320 425425 429000 430950 436800 439400 442000 442442 443625 446160 448188 448800 454272 457600 459680 461370 462000 464100 464750 466752 473200 474045 476000 480480 482664 483340 486200 490875 492128 495040 500500 502656 502775 505648 507000 507507 510510 520520 522886 523600 527280 528000 530400 540800 544544 546000 549250 551616 557700 560235 561000 567840 571200 572000 574600 580008 580125 583440 591500 594048 594880 597584 598400 600600 603330 604175 607750 615160 616000 618800 624000 624624 628320 632060 640640 643552 650650 654500 659100 663000 663663 676000 676676 680680 686400 689520 697125 703040 707200 709800 713856 714000 718250 725010 728000 729300 738192 739200 742560 743600 746980 748000 750750 757120 758472 768950 773344 773500 777920 780780 784329 785400 790075 800800 804440 811200 816000 816816 821678 823875 832832 837760 843648 845845 850850 858000 861900 873600 878800 884000 884884 887250 892320 896376 897600 911625 919360 922740 924000 928200 929500 933504 933725 946400 948090 952000 960960 965328 966680 972400 975975 981750 984256 990080 1001000 1005550 1011296 1014000 1015014 1021020 1041040 1045772 1047200 1054560 1060800 1077375 1089088 1092000 1098500 1103232 1106105 1115400 1120470 1122000 1135680 1142400 1144000 1149200 1153425 1160016 1160250 1166880 1183000 1189760 1195168 1201200 1206660 1208350 1215500 1230320 1232000 1232517 1237600 1249248 1256640 1264120 1276275 1287104 1301300 1307215 1309000 1318200 1326000 1327326 1352000 1353352 1361360 1372800 1379040 1394250 1406080 1419600 1428000 1436500 1450020 1456000 1458600 1476384 1485120 1487200 1493960 1496000 1501500 1508325 1516944 1537900 1546688 1547000 1555840 1561560 1568658 1570800 1580150 1601600 1608880 1622400 1626625 1633632 1643356 1647750 1665664 1691690 1701700 1716000 1723800 1757600 1768000 1769768 1774500 1784640 1792752 1795200 1812525 1823250 1838720 1845480 1848000 1856400 1859000 1867450 1892800 1896180 1904000 1921920 1922375 1930656 1933360 1944800 1951950 1963500 1968512 2002000 2011100 2022592 2028000 2030028 2042040 2054195 2082080 2091544 2094400 2109120 2121600 2127125 2154750 2178176 2184000 2197000 2212210 2230800 2240940 2244000 2271360 2288000 2298400 2306850 2320032 2320500 2333760 2366000 2370225 2390336 2402400 2413320 2416700 2431000 2460640 2465034 2475200 2498496 2513280 2513875 2528240 2537535 2552550 2574208 2602600 2614430 2618000 2636400 2652000 2654652 2704000 2706704 2722720 2758080 2788500 2801175 2839200 2856000 2873000 2875873 2900040 2917200 2952768 2970240 2974400 2987920 2992000 3003000 3016650 3020875 3033888 3075800 3093376 3094000 3123120 3137316 3141600 3160300 3203200 3217760 3253250 3267264 3286712 3295500 3318315 3383380 3403400 3432000 3447600 3515200 3536000 3539536 3549000 3569280 3585504 3625050 3646500 3690960 3696000 3712800 3718000 3734900 3785600 3792360 3844750 3861312 3866720 3889600 3903900 3921645 3927000 3950375 4004000 4022200 4045184 4056000 4060056 4084080 4108390 4164160 4183088 4188800 4218240 4229225 4254250 4309500 4368000 4394000 4424420 4461600 4481880 4488000 4596800 4613700 4640064 4641000 4667520 4668625 4732000 4740450 4780672 4804800 4826640 4833400 4862000 4879875 4921280 4930068 4950400 4996992 5027750 5056480 5075070 5105100 5205200 5228860 5236000 5272800 5304000 5309304 5413408 5445440 5516160 5530525 5577000 5602350 5678400 5712000 5746000 5751746 5767125 5800080 5834400 5905536 5948800 5975840 6006000 6033300 6041750 6067776 6151600 6162585 6188000 6246240 6274632 6283200 6320600 6381375 6435520 6506500 6534528 6536075 6573424 6591000 6636630 6766760 6806800 6864000 6895200 7030400 7079072 7098000 7171008 7250100 7293000 7381920 7425600 7436000 7469800 7541625 7584720 7689500 7722624 7733440 7779200 7807800 7843290 7854000 7900750 8008000 8044400 8112000 8120112 8168160 8216780 8328320 8366176 8458450 8508500 8619000 8627619 8788000 8848840 8923200 8963760 8976000 9062625 9193600 9227400 9280128 9282000 9337250 9464000 9480900 9609600 9653280 9666800 9724000 9759750 9842560 9860136 10055500 10112960 10150140 10210200 10270975 10410400 10457720 10472000 10545600 10608000 10618608 10826816 10890880 11061050 11154000 11204700 11356800 11492000 11503492 11534250 11600160 11668800 11851125 11951680 12012000 12066600 12083500 12135552 12303200 12325170 12376000 12492480 12549264 12566400 12641200 12687675 12762750 12871040 13013000 13072150 13146848 13182000 13273260 13533520 13613600 13790400 14005875 14158144 14196000 14342016 14379365 14500200 14586000 14763840 14851200 14872000 14939600 15083250 15169440 15379000 15466880 15615600 15686580 15708000 15801500 16016000 16088800 16240224 16336320 16433560 16591575 16732352 16916900 17017000 17238000 17255238 17576000 17697680 17846400 17927520 18125250 18454800 18564000 18674500 18928000 18961800 19306560 19333600 19448000 19519500 19608225 19720272 20111000 20225920 20300280 20420400 20541950 20820800 20915440 20944000 21091200 21146125 21237216 21653632 22122100 22308000 22409400 22984000 23006984 23068500 23200320 23337600 23702250 23903360 24024000 24133200 24167000 24606400 24650340 24752000 24984960 25098528 25282400 25375350 25525500 26026000 26144300 26293696 26364000 26546520 27067040 27227200 27580800 27652625 28011750 28316288 28392000 28758730 29000400 29172000 29527680 29744000 29879200 30166500 30338880 30758000 30812925 31231200 31373160 31416000 31603000 32177600 32480448 32672640 32680375 32867120 33183150 33464704 33833800 34034000 34476000 34510476 35152000 35395360 35855040 36250500 36909600 37128000 37349000 37923600 38613120 38667200 38896000 39039000 39216450 39440544 40222000 40600560 40840800 41083900 41641600 41830880 42292250 42474432 43138095 44244200 44616000 44818800 45968000 46013968 46137000 46400640 47404500 48048000 48266400 48334000 49212800 49300680 50197056 50564800 50750700 51051000 51354875 52052000 52288600 52587392 52728000 53093040 54134080 54454400 55305250 56023500 56784000 57517460 58000800 58344000 59758400 60333000 60677760 61516000 61625850 62462400 62746320 62832000 63206000 63438375 64355200 64960896 65360750 65734240 66366300 67667600 68068000 68952000 69020952 70790720 71710080 71896825 72501000 73819200 74256000 74698000 75847200 77334400 78078000 78432900 78881088 80444000 81201120 81681600 82167800 82957875 83661760 84584500 84948864 86276190 88488400 89232000 89637600 92027936 92274000 94809000 96532800 96668000 98041125 98601360 100394112 101129600 101501400 102102000 102709750 104104000 104577200 105456000 106186080 108268160 110610500 112047000 115034920 116001600 116688000 119516800 120666000 123032000 123251700 124924800 125492640 126412000 126876750 130721500 131468480 132732600 135335200 136136000 137904000 138041904 141581440 143793650 145002000 147638400 149396000 151694400 154064625 156156000 156865800 157762176 160888000 162402240 163363200 164335600 165915750 167323520 169169000 172552380 176976800 179275200 184055872 184548000 189618000 193065600 193336000 196082250 197202720 203002800 204204000 205419500 208208000 209154400 212372160 215690475 221221000 224094000 230069840 232003200 241332000 246064000 246503400 250985280 252824000 253753500 261443000 262936960 265465200 270670400 272272000 276083808 287587300 290004000 298792000 303388800 308129250 312312000 313731600 321776000 324804480 328671200 331831500 338338000 345104760 353953600 358550400 359484125 368111744 369096000 379236000 386672000 392164500 394405440 406005600 408408000 410839000 418308800 424744320 431380950 442442000 448188000 460139680 482664000 493006800 501970560 505648000 507507000 522886000 530930400 541340800 552167616 575174600 580008000 597584000 616258500 624624000 627463200 657342400 663663000 676676000 690209520 707907200 718968250 738192000 758472000 784329000 788810880 812011200 816816000 821678000 836617600 862761900 884884000 896376000 920279360 965328000 986013600 1015014000 1045772000 1061860800 1078452375 1104335232 1150349200 1160016000 1232517000 1254926400 1314684800 1327326000 1353352000 1380419040 1437936500 1516944000 1568658000 1624022400 1643356000 1725523800 1769768000 1792752000 1840558720 1972027200 2030028000 2091544000 2123721600 2156904750 2300698400 2465034000 2509852800 2654652000 2706704000 2760838080 2875873000 3137316000 3286712000 3451047600 3539536000 3944054400 4060056000 4183088000 4313809500 4601396800 4930068000 5309304000 5521676160 5751746000 6274632000 6573424000 6902095200 8120112000 8627619000 9202793600 9860136000 10618608000 11503492000 12549264000 13804190400 17255238000 19720272000 23006984000 27608380800 34510476000 46013968000 69020952000 138041904000
- Sum of all divisors σ(n): 654403276800
- Sum of proper divisors (its aliquot sum) s(n): 516361372800
- 138041904000 is an abundant number, because the sum of its proper divisors (516361372800) is greater than itself. Its abundance is 378319468800
Bases of 138041904000
- Binary: 100000001000111111000001001011100000002
- Hexadecimal: 0x2023F04B80
- Base-36: 1REYL2TC
Squares and roots of 138041904000
- 138041904000 squared (1380419040002) is 19055567259945216000000
- 138041904000 cubed (1380419040003) is 2630466786362900552331264000000000
-
The
square root of 138041904000 is 371539.9090272805 -
The
cube root of 138041904000 is 5168.1722554067
Scales and comparisons
How big is 138041904000?- 138,041,904,000 seconds is equal to 4,389 years, 15 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 138,041,904,000 would take you about eight thousand, seven hundred seventy-eight 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 138041904000 cubic inches would be around 430.7 feet tall.
Recreational maths with 138041904000
- 138041904000 backwards is 000409140831
- 138041904000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138041904000's digits is 30
- More coming soon!
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MLA style:
"Number 138041904000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
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Numbermatics. (2024). Number 138041904000 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/138041904000/
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The information we have on file for 138041904000 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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