138538290664800
138,538,290,664,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138538290664800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
138538290664800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138538290664800:
25 × 33 × 52 × 133 × 1272 × 181
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 127 × 127 × 181)See below for interesting mathematical facts about the number 138538290664800 from the Numbermatics database.
Names of 138538290664800
- Cardinal: 138538290664800 can be written as One hundred thirty-eight trillion, five hundred thirty-eight billion, two hundred ninety million, six hundred sixty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.385382906648 × 1014
Factors of 138538290664800
Divisors of 138538290664800
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 65 72 75 78 80 90 96 100 104 108 117 120 127 130 135 144 150 156 160 169 180 181 195 200 208 216 225 234 240 254 260 270 288 300 312 325 338 351 360 362 381 390 400 416 432 450 468 480 507 508 520 540 543 585 600 624 635 650 675 676 702 720 724 762 780 800 845 864 900 905 936 975 1014 1016 1040 1080 1086 1143 1170 1200 1248 1270 1300 1350 1352 1404 1440 1448 1521 1524 1560 1629 1651 1690 1755 1800 1810 1872 1905 1950 2028 2032 2080 2160 2172 2197 2286 2340 2353 2400 2535 2540 2600 2700 2704 2715 2808 2896 2925 3042 3048 3120 3175 3258 3302 3380 3429 3510 3600 3620 3744 3810 3900 4056 4064 4225 4320 4344 4394 4525 4563 4572 4680 4706 4887 4953 5070 5080 5200 5400 5408 5430 5616 5715 5792 5850 6084 6096 6240 6350 6516 6591 6604 6760 6858 7020 7059 7200 7240 7605 7620 7800 8112 8145 8255 8450 8688 8775 8788 9050 9126 9144 9360 9412 9525 9774 9906 10140 10160 10400 10800 10860 10985 11232 11430 11700 11765 12168 12192 12675 12700 13032 13182 13208 13520 13575 13716 14040 14118 14480 14859 15210 15240 15600 16129 16224 16290 16510 16900 17145 17376 17550 17576 18100 18252 18288 18720 18824 19050 19548 19773 19812 20280 20320 21177 21463 21600 21720 21970 22815 22860 22987 23400 23530 24336 24435 24765 25350 25400 26064 26364 26416 27040 27150 27432 28080 28236 28575 28960 29718 30420 30480 30589 31200 32258 32580 32955 33020 33800 34290 35100 35152 35295 36200 36504 36576 37648 38025 38100 39096 39546 39624 40560 40725 41275 42354 42926 43440 43940 44577 45630 45720 45974 46800 47060 48387 48672 48870 49530 50700 50800 52128 52728 52832 54300 54864 54925 56160 56472 57150 58825 59319 59436 60840 60960 61178 63531 64389 64516 65160 65910 66040 67600 68580 68961 70200 70304 70590 72400 73008 74295 75296 76050 76200 78192 79092 79248 80645 81120 81450 82550 84708 85725 85852 86880 87880 89154 91260 91440 91767 91948 93600 94120 96774 97740 98865 99060 101400 101600 105456 105885 107315 108600 109728 109850 112944 114075 114300 114935 117650 118638 118872 121680 122175 122356 123825 127062 128778 129032 130320 131820 132080 135200 137160 137922 140400 141180 144800 145161 146016 148590 152100 152400 152945 156384 158184 158496 161290 162900 164775 165100 169416 171450 171704 175760 176475 178308 182520 182880 183534 183896 188240 193167 193548 195480 197730 198120 202800 206883 209677 210912 211770 214630 217200 219700 222885 225888 228150 228600 229870 235300 237276 237744 241935 243360 244350 244712 247650 254124 257556 258064 260640 263640 264160 274320 275301 275844 279019 280800 282360 290322 296595 297180 298831 304200 304800 305890 316368 317655 321945 322580 325800 329550 330200 338832 342900 343408 344805 351520 352950 356616 365040 367068 367792 371475 376480 386334 387096 390960 395460 396240 397657 403225 405600 413766 419354 423540 429260 434400 435483 439400 445770 456300 457200 458835 459740 470600 474552 475488 483870 488700 489424 494325 495300 508248 515112 516128 527280 529425 536575 548640 550602 551688 558038 564720 574675 579501 580644 593190 594360 597662 608400 611780 620649 629031 632736 635310 643890 645160 651600 659100 660400 677664 685800 686816 689610 705900 713232 725805 730080 734136 735584 742950 764725 772668 774192 781920 790920 792480 795314 806450 825903 827532 837057 838708 847080 858520 870966 878800 891540 896493 912600 914400 917670 919480 941200 949104 965835 967740 977400 978848 988650 990600 1016496 1030224 1034415 1048385 1054560 1058850 1073150 1101204 1103376 1114425 1116076 1129440 1149350 1159002 1161288 1186380 1188720 1192971 1195324 1209675 1216800 1223560 1241298 1258062 1270620 1287780 1290320 1303200 1318200 1320800 1371600 1376505 1379220 1395095 1411800 1426464 1451610 1468272 1482975 1485900 1494155 1529450 1545336 1548384 1581840 1588275 1590628 1609725 1612900 1651806 1655064 1674114 1677416 1694160 1717040 1724025 1741932 1757600 1783080 1792986 1825200 1835340 1838960 1882400 1887093 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1165440900 1167739600 1177546032 1205362080 1212058536 1214449184 1226610450 1261158768 1262560975 1275674868 1290949920 1308384480 1313707050 1363565853 1366255332 1398529080 1401287520 1417416520 1431565200 1471932540 1480109943 1506702600 1509674400 1515073170 1518061480 1553921200 1576448460 1594593585 1613687400 1616078048 1635480600 1678234896 1700899824 1707819165 1717878240 1748161350 1751609400 1771770650 1818087804 1821673776 1839915675 1864705440 1897576850 1913512302 1962576720 1970560575 1973479924 2008936800 2020097560 2049382998 2097793620 2101931280 2126124780 2147347800 2151583200 2180640800 2264511600 2272609755 2277092220 2330881800 2335479200 2355092064 2424117072 2453220900 2466849905 2522317536 2525121950 2551349736 2622242025 2627414100 2657655975 2727131706 2732510664 2797058160 2834833040 2846365275 2863130400 2943865080 2960219886 3013405200 3030146340 3036122960 3107842400 3152896920 3189187170 3227374800 3270961200 3356469792 3401799648 3415638330 3496322700 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12756748680 12827619506 13320989487 13635658530 13662553320 13985290800 14174165200 14544702432 14719325400 14801099430 15150731700 15180614800 15308098416 15764484600 15787839392 15945935850 16395063984 16782348960 17008998240 17078191650 17761319316 18180878040 18216737760 19135123020 19241429259 19625767200 19734799240 20200975600 20493829980 20977936200 21019312800 21261247800 21817053648 22201649145 22726097550 22770922200 23681759088 23918903775 24241170720 24668499050 25513497360 25617287475 25655239012 26641978974 27271317060 27325106640 27970581600 28348330400 29438650800 29602198860 30301463400 30361229600 30616196832 31528969200 31891871700 32069048765 32790127968 34089146325 34156383300 35522638632 36361756080 37002748575 38270246040 38482858518 39469598480 40401951200 40987659960 41955872400 42522495600 43634107296 44403298290 45452195100 45541844400 47363518176 47837807550 49336998100 51026994720 51234574950 51310478024 53283957948 54542634120 54650213280 57724287777 58877301600 59204397720 60602926800 63057938400 63783743400 64138097530 66604947435 68178292650 68312766600 71045277264 72723512160 74005497150 76540492080 76965717036 78939196960 81975319920 83911744800 85044991200 88806596580 90904390200 91083688800 95675615100 96207146295 98673996200 102469149900 102620956048 106567915896 109085268240 111008245725 115448575554 118408795440 121205853600 127567486800 128276195060 133209894870 136356585300 136625533200 142090554528 148010994300 153080984160 153931434072 160345243825 163950639840 173172863331 177613193160 181808780400 191351230200 192414292590 197347992400 204938299800 205241912096 213135831792 218170536480 222016491450 230897151108 236817590880 255134973600 256552390120 266419789740 272713170600 273251066400 288621438885 296021988600 307862868144 320690487650 333024737175 346345726662 355226386320 363617560800 382702460400 384828585180 394695984800 409876599600 426271663584 444032982900 461794302216 481035731475 513104780240 532839579480 545426341200 577242877770 592043977200 615725736288 641380975300 666049474350 692691453324 710452772640 765404920800 769657170360 819753199200 865864316655 888065965800 923588604432 962071462950 1026209560480 1065679158960 1090852682400 1154485755540 1184087954400 1282761950600 1332098948700 1385382906648 1443107194425 1539314340720 1731728633310 1776131931600 1847177208864 1924142925900 2131358317920 2308971511080 2565523901200 2664197897400 2770765813296 2886214388850 3078628681440 3463457266620 3552263863200 3848285851800 4329321583275 4617943022160 5131047802400 5328395794800 5541531626592 5772428777700 6926914533240 7696571703600 8658643166550 9235886044320 10656791589600 11544857555400 13853829066480 15393143407200 17317286333100 23089715110800 27707658132960 34634572666200 46179430221600 69269145332400 138538290664800
- Sum of all divisors σ(n): 550111831214400
- Sum of proper divisors (its aliquot sum) s(n): 411573540549600
- 138538290664800 is an abundant number, because the sum of its proper divisors (411573540549600) is greater than itself. Its abundance is 273035249884800
Bases of 138538290664800
- Binary: 111110111111111111101011001101001010101011000002
- Hexadecimal: 0x7DFFF59A5560
- Base-36: 1D3VM1B4O0
Squares and roots of 138538290664800
- 138538290664800 squared (1385382906648002) is 19192857980324610825959040000
- 138538290664800 cubed (1385382906648003) is 2658945737566437214063654288739169792000000
-
The
square root of 138538290664800 is 11770228.9979762075 -
The
cube root of 138538290664800 is 51743.5961070469
Scales and comparisons
How big is 138538290664800?- 138,538,290,664,800 seconds is equal to 4,405,089 years, 6 weeks, 6 hours.
-
To count from 1 to 138,538,290,664,800 would take you about eleven million, twelve thousand, seven hundred twenty-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 138538290664800 cubic inches would be around 4312 feet tall.
Recreational maths with 138538290664800
- 138538290664800 backwards is 008466092835831
- The number of decimal digits it has is: 15
- The sum of 138538290664800's digits is 63
- More coming soon!
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"Number 138538290664800 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 138538290664800 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/138538290664800/
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The information we have on file for 138538290664800 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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