138394868050400
138,394,868,050,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 138394868050400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
138394868050400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138394868050400:
25 × 52 × 13 × 17 × 372 × 833
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 37 × 37 × 83 × 83 × 83)See below for interesting mathematical facts about the number 138394868050400 from the Numbermatics database.
Names of 138394868050400
- Cardinal: 138394868050400 can be written as One hundred thirty-eight trillion, three hundred ninety-four billion, eight hundred sixty-eight million, fifty thousand, four hundred.
Scientific notation
- Scientific notation: 1.383948680504 × 1014
Factors of 138394868050400
Divisors of 138394868050400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 37 40 50 52 65 68 74 80 83 85 100 104 130 136 148 160 166 170 185 200 208 221 260 272 296 325 332 340 370 400 415 416 425 442 481 520 544 592 629 650 664 680 740 800 830 850 884 925 962 1040 1079 1105 1184 1258 1300 1328 1360 1369 1411 1480 1660 1700 1768 1850 1924 2075 2080 2158 2210 2405 2516 2600 2656 2720 2738 2822 2960 3071 3145 3320 3400 3536 3700 3848 4150 4316 4420 4810 5032 5200 5395 5476 5525 5644 5920 6142 6290 6640 6800 6845 6889 7055 7072 7400 7696 8177 8300 8632 8840 9620 10064 10400 10790 10952 11050 11288 12025 12284 12580 13280 13600 13690 13778 14110 14800 15355 15392 15725 16354 16600 17264 17680 17797 18343 19240 20128 21580 21904 22100 22576 23273 24050 24568 25160 26975 27380 27556 28220 29600 30710 31450 32708 33200 34225 34445 34528 35275 35360 35594 36686 38480 39923 40885 43160 43808 44200 45152 46546 48100 49136 50320 52207 53950 54760 55112 56440 61420 62900 65416 66400 68450 68890 70550 71188 73372 76775 76960 79846 81770 86320 88400 88985 89557 91715 93092 96200 98272 100640 104414 107900 109520 110224 112880 113627 116365 117113 122840 125800 130832 136900 137780 141100 142376 146744 153550 159692 163540 172225 172640 176800 177970 179114 183430 186184 192400 199615 204425 208828 215800 219040 220448 225760 227254 232730 234226 245680 251600 254893 261035 261664 273800 275560 282200 284752 293488 302549 307100 319384 327080 344450 355940 358228 366860 372368 384800 399230 408850 417656 431600 444925 447785 454508 458575 465460 468452 491360 503200 509786 522070 547600 551120 564400 568135 569504 571787 581825 585565 586976 605098 614200 638768 654160 678691 688900 711880 716456 733720 744736 798460 817700 835312 863200 889850 895570 909016 917150 930920 936904 998075 1019572 1044140 1095200 1102240 1128800 1136270 1143574 1163650 1171130 1210196 1228400 1274465 1277536 1305175 1308320 1357382 1377800 1423760 1432912 1467440 1477151 1512745 1522469 1596920 1635400 1670624 1779700 1791140 1818032 1834300 1861840 1873808 1931659 1996150 2039144 2088280 2238925 2272540 2287148 2327300 2342260 2420392 2456800 2548930 2610350 2714764 2755600 2840675 2847520 2858935 2865824 2927825 2934880 2954302 3025490 3044938 3193840 3270800 3313609 3393455 3559400 3582280 3636064 3668600 3723680 3747616 3863318 3992300 4078288 4176560 4333181 4477850 4545080 4574296 4654600 4684520 4840784 5097860 5220700 5429528 5511200 5681350 5717870 5855650 5908604 6050980 6089876 6372325 6387680 6541600 6627218 6786910 7118800 7164560 7337200 7385755 7433231 7563725 7612345 7726636 7984600 8156576 8353120 8666362 8955700 9090160 9148592 9309200 9369040 9431041 9658295 9681568 9720379 10195720 10441400 10859056 11362700 11435740 11711300 11817208 12101960 12179752 12744650 13254436 13573820 14237600 14294675 14329120 14674400 14771510 14866462 15127450 15224690 15453272 15969200 16568045 16967275 17332724 17911400 18180320 18297184 18618400 18738080 18862082 19316590 19440758 20391440 20882800 21156119 21665905 21718112 22725400 22871480 23422600 23634416 24203920 24359504 25111567 25489300 26508872 27147640 28589350 29543020 29732924 30254900 30449380 30906544 31938400 33136090 33934550 34665448 35822800 36928775 37166155 37724164 38061725 38633180 38881516 40782880 41765600 42312238 43331810 45450800 45742960 46845200 47155205 47268832 48291475 48407840 48601895 48719008 50223134 50978600 53017744 54295280 56331353 57178700 59086040 59465848 60509800 60898760 61813088 66272180 67869100 69330896 71645600 73857550 74332310 75448328 76123450 77266360 77763032 82840225 84624476 86663620 90901600 91485920 93690400 94310410 96582950 97203790 100446268 101957200 105780595 106035488 108329525 108590560 112662706 114357400 118172080 118931696 121019600 121797520 122603533 125557835 126364927 132544360 135738200 138661792 147715100 148664620 150896656 152246900 154532720 155526064 160327697 165680450 169248952 173327240 185830775 188620820 193165900 194407580 200892536 203914400 211561190 216659050 225325412 228714800 235776025 236344160 237863392 242039200 243009475 243595040 245207066 251115670 252729854 265088720 271476400 275029547 281656765 295430200 297329240 301793312 304493800 309065440 311052128 320655394 331360900 338497904 346654480 359654023 371661550 377241640 386331800 388815160 401785072 423122380 433318100 450650824 457429600 471552050 486018950 490414132 502231340 505459708 528902975 530177440 542952800 550059094 563313530 590860400 594658480 608987600 613017665 627789175 631824635 641310788 662721800 676995808 693308960 719308046 743323100 754483280 772663600 777630320 782776403 801638485 803570144 846244760 866636200 901301648 943104100 972037900 980828264 1004462680 1010919416 1057805950 1100118188 1126627060 1181720800 1189316960 1217975200 1226035330 1255578350 1263649270 1282621576 1325443600 1375147735 1408283825 1438616092 1486646200 1508966560 1545327200 1555260640 1565552806 1603276970 1692489520 1733272400 1798270115 1802603296 1886208200 1944075800 1961656528 2008925360 2021838832 2084260061 2115611900 2200236376 2253254120 2452070660 2511156700 2527298540 2565243152 2650887200 2750295470 2816567650 2877232184 2973292400 3065088325 3131105612 3159123175 3206553940 3384979040 3466544800 3596540230 3772416400 3888151600 3913882015 3923313056 4008192425 4017850720 4043677664 4168520122 4231223800 4400472752 4506508240 4675502299 4904141320 5022313400 5054597080 5130486304 5500590940 5633135300 5754464368 5946584800 6130176650 6262211224 6318246350 6413107880 6875738675 7193080460 7544832800 7776303200 7827764030 8016384850 8337040244 8462447600 8800945504 8991350575 9013016480 9351004598 9808282640 10044626800 10109194160 10176093239 10421300305 11001181880 11266270600 11508928736 12260353300 12524422448 12636492700 12826215760 13307198851 13751477350 14386160920 15655528060 16032769700 16674080488 16924895200 17982701150 18702009196 19569410075 19616565280 20089253600 20218388320 20352186478 20842600610 22002363760 22532541200 23377511495 24520706600 25048844896 25272985400 25652431520 26614397702 27502954700 28772321840 31311056120 32065539400 33348160976 35965402300 37404018392 39138820150 40704372956 41685201220 44004727520 45065082400 46755022990 49041413200 50545970800 50880466195 52106501525 53228795404 55005909400 57544643680 62622112240 64131078800 66535994255 66696321952 71930804600 74808036784 78277640300 81408745912 83370402440 93510045980 98082826400 101091941600 101760932390 104213003050 106457590808 110011818800 116887557475 125244224480 128262157600 133071988510 143861609200 149616073568 156555280600 162817491824 166740804880 172993585063 187020091960 203521864780 208426006100 212915181616 220023637600 233775114950 254402330975 266143977020 287723218400 313110561200 325634983648 332679971275 333481609760 345987170126 374040183920 407043729560 416852012200 425830363232 467550229900 508804661950 532287954040 626221122400 665359942550 691974340252 748080367840 814087459120 833704024400 864967925315 935100459800 1017609323900 1064575908080 1330719885100 1383948680504 1628174918240 1667408048800 1729935850630 1870200919600 2035218647800 2129151816160 2661439770200 2767897361008 3459871701260 3740401839200 4070437295600 4324839626575 5322879540400 5535794722016 6919743402520 8140874591200 8649679253150 10645759080800 13839486805040 17299358506300 27678973610080 34598717012600 69197434025200 138394868050400
- Sum of all divisors σ(n): 400770170629920
- Sum of proper divisors (its aliquot sum) s(n): 262375302579520
- 138394868050400 is an abundant number, because the sum of its proper divisors (262375302579520) is greater than itself. Its abundance is 123980434529120
Bases of 138394868050400
- Binary: 111110111011110100100001111001011101001111000002
- Hexadecimal: 0x7DDE90F2E9E0
- Base-36: 1D21Q36R4W
Squares and roots of 138394868050400
- 138394868050400 squared (1383948680504002) is 19153139502687626696940160000
- 138394868050400 cubed (1383948680504003) is 2650696214225357972891765832624664064000000
-
The
square root of 138394868050400 is 11764134.8194586753 -
The
cube root of 138394868050400 is 51725.7339833489
Scales and comparisons
How big is 138394868050400?- 138,394,868,050,400 seconds is equal to 4,400,528 years, 37 weeks, 3 days, 6 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,394,868,050,400 would take you about eleven million, one thousand, three hundred twenty-one 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 138394868050400 cubic inches would be around 4310.5 feet tall.
Recreational maths with 138394868050400
- 138394868050400 backwards is 004050868493831
- The number of decimal digits it has is: 15
- The sum of 138394868050400's digits is 59
- More coming soon!
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The information we have on file for 138394868050400 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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