138481361030400
138,481,361,030,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138481361030400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
138481361030400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138481361030400:
28 × 3 × 52 × 31 × 61 × 419 × 9103
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 31 × 61 × 419 × 9103)See below for interesting mathematical facts about the number 138481361030400 from the Numbermatics database.
Names of 138481361030400
- Cardinal: 138481361030400 can be written as One hundred thirty-eight trillion, four hundred eighty-one billion, three hundred sixty-one million, thirty thousand, four hundred.
Scientific notation
- Scientific notation: 1.384813610304 × 1014
Factors of 138481361030400
Divisors of 138481361030400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 61 62 64 75 80 93 96 100 120 122 124 128 150 155 160 183 186 192 200 240 244 248 256 300 305 310 320 366 372 384 400 419 465 480 488 496 600 610 620 640 732 744 768 775 800 838 915 930 960 976 992 1200 1220 1240 1257 1280 1464 1488 1525 1550 1600 1676 1830 1860 1891 1920 1952 1984 2095 2325 2400 2440 2480 2514 2928 2976 3050 3100 3200 3352 3660 3720 3782 3840 3904 3968 4190 4575 4650 4800 4880 4960 5028 5673 5856 5952 6100 6200 6285 6400 6704 7320 7440 7564 7808 7936 8380 9103 9150 9300 9455 9600 9760 9920 10056 10475 11346 11712 11904 12200 12400 12570 12989 13408 14640 14880 15128 15616 16760 18206 18300 18600 18910 19200 19520 19840 20112 20950 22692 23424 23808 24400 24800 25140 25559 25978 26816 27309 28365 29280 29760 30256 31425 33520 36412 36600 37200 37820 38967 39040 39680 40224 41900 45384 45515 46848 47275 48800 49600 50280 51118 51956 53632 54618 56730 58560 59520 60512 62850 64945 67040 72824 73200 74400 75640 76677 77934 78080 80448 83800 90768 91030 94550 97600 99200 100560 102236 103912 107264 109236 113460 117120 119040 121024 125700 127795 129890 134080 136545 141825 145648 146400 148800 151280 153354 155868 160896 167600 181536 182060 189100 194835 195200 198400 201120 204472 207824 218472 226920 227575 234240 242048 251400 255590 259780 268160 273090 282193 283650 291296 292800 297600 302560 306708 311736 321792 324725 335200 363072 364120 378200 383385 389670 390400 402240 408944 415648 436944 453840 455150 484096 502800 511180 519560 536320 546180 555283 564386 567300 582592 585600 595200 605120 613416 623472 638975 649450 670400 682725 726144 728240 756400 766770 779340 792329 804480 817888 831296 846579 873888 907680 910300 974175 1005600 1022360 1039120 1092360 1110566 1128772 1134600 1165184 1171200 1210240 1226832 1246944 1277950 1298900 1340800 1365450 1410965 1452288 1456480 1512800 1533540 1558680 1584658 1608960 1635776 1662592 1665849 1693158 1747776 1815360 1820600 1916925 1948350 2011200 2044720 2078240 2184720 2221132 2257544 2269200 2330368 2376987 2420480 2453664 2493888 2555900 2597800 2681600 2730900 2776415 2821930 2912960 3025600 3067080 3117360 3169316 3271552 3325184 3331698 3386316 3495552 3630720 3641200 3814157 3833850 3896700 3961645 4022400 4089440 4156480 4232895 4369440 4442264 4515088 4538400 4753974 4907328 4987776 5111800 5195600 5461800 5552830 5643860 5825920 6051200 6134160 6234720 6338632 6543104 6663396 6772632 6991104 7054825 7261440 7282400 7628314 7667700 7793400 7923290 8044800 8178880 8312960 8329245 8465790 8738880 8884528 9030176 9076800 9507948 9814656 9975552 10223600 10391200 10923600 11105660 11287720 11442471 11651840 11884935 12102400 12268320 12469440 12677264 13326792 13545264 13882075 14109650 14564800 15256628 15335400 15586800 15846580 16357760 16625920 16658490 16931580 17213773 17477760 17769056 18060352 18153600 19015896 19070785 19629312 19808225 20447200 20782400 21164475 21847200 22211320 22575440 22884942 23769870 24536640 24938880 25354528 26653584 27090528 27764150 28219300 29129600 30513256 30670800 31173600 31693160 32715520 33316980 33863160 34427546 34955520 35538112 36120704 36307200 38031792 38141570 39616450 40894400 41564800 41646225 42328950 43694400 44422640 45150880 45769884 47539740 49073280 49877760 50709056 51641319 53307168 54181056 55528300 56438600 57212355 58259200 59424675 61026512 61341600 62347200 63386320 66633960 67726320 68855092 71076224 72241408 76063584 76283140 79232900 81788800 83129600 83292450 84657900 86068865 87388800 88845280 90301760 91539768 95079480 95353925 98146560 101418112 103282638 106614336 108362112 111056600 112877200 114424710 118238867 118849350 122053024 122683200 124694400 126772640 133267920 135452640 137710184 142152448 152127168 152566280 158465800 163577600 166584900 169315800 172137730 174777600 177690560 180603520 183079536 190158960 190707850 202836224 206565276 213228672 216724224 222113200 225754400 228849420 232663577 236477734 237698700 244106048 245366400 249388800 253545280 258206595 266535840 270905280 275420368 286061775 304254336 305132560 316931600 333169800 338631600 344275460 354716601 355381120 361207040 366159072 380317920 381415700 413130552 426457344 430344325 444226400 451508800 457698840 465327154 472955468 475397400 488212096 490732800 507090560 516413190 533071680 541810560 550840736 572123550 591194335 608508672 610265120 633863200 666339600 677263200 688550920 697990731 709433202 710762240 732318144 760635840 762831400 826261104 860688650 888452800 903017600 915397680 930654308 945910936 950794800 976424192 1014181120 1032826380 1066143360 1083621120 1101681472 1144247100 1163317885 1182388670 1220530240 1267726400 1291032975 1332679200 1354526400 1377101840 1395981462 1418866404 1464636288 1521271680 1525662800 1652522208 1721377300 1773583005 1776905600 1806035200 1830795360 1861308616 1891821872 1901589600 2065652760 2132286720 2203362944 2288494200 2326635770 2364777340 2441060480 2535452800 2582065950 2665358400 2709052800 2754203680 2791962924 2837732808 2929272576 2955971675 3042543360 3051325600 3305044416 3442754600 3489953655 3547166010 3553811200 3661590720 3722617232 3783643744 3803179200 4131305520 4406725888 4576988400 4653271540 4729554680 4882120960 5070905600 5164131900 5330716800 5418105600 5508407360 5583925848 5675465616 5816589425 5911943350 6102651200 6610088832 6885509200 6979907310 7094332020 7212570887 7323181440 7445234464 7567287488 7606358400 8262611040 8867915025 9153976800 9306543080 9459109360 10328263800 10661433600 11016814720 11167851696 11350931232 11633178850 11823886700 12205302400 13220177664 13771018400 13959814620 14188664040 14425141774 14646362880 14890468928 15134574976 15212716800 16525222080 17449768275 17735830050 18307953600 18613086160 18918218720 20656527600 21637712661 22033629440 22335703392 22701862464 23266357700 23647773400 24410604800 27542036800 27919629240 28377328080 28850283548 29780937856 30269149952 33050444160 34899536550 35471660100 36062854435 36615907200 37226172320 37836437440 41313055200 43275425322 44671406784 45403724928 46532715400 47295546800 55084073600 55839258480 56754656160 57700567096 59561875712 66100888320 69799073100 70943320200 72125708870 73231814400 74452344640 75672874880 82626110400 86550850644 89342813568 90807449856 93065430800 94591093600 108188563305 110168147200 111678516960 113509312320 115401134192 139598146200 141886640400 144251417740 148904689280 151345749760 165252220800 173101701288 178685627136 180314272175 186130861600 189182187200 216377126610 223357033920 227018624640 230802268384 279196292400 283773280800 288502835480 297809378560 330504441600 346203402576 360628544350 372261723200 378364374400 432754253220 446714067840 454037249280 461604536768 540942816525 558392584800 567546561600 577005670960 692406805152 721257088700 744523446400 756728748800 865508506440 893428135680 923209073536 1081885633050 1116785169600 1135093123200 1154011341920 1384813610304 1442514177400 1489046892800 1731017012880 1846418147072 2163771266100 2233570339200 2270186246400 2308022683840 2769627220608 2885028354800 3462034025760 4327542532200 4467140678400 4616045367680 5539254441216 5770056709600 6924068051520 8655085064400 9232090735360 11540113419200 13848136103040 17310170128800 23080226838400 27696272206080 34620340257600 46160453676800 69240680515200 138481361030400
- Sum of all divisors σ(n): 480690780487680
- Sum of proper divisors (its aliquot sum) s(n): 342209419457280
- 138481361030400 is an abundant number, because the sum of its proper divisors (342209419457280) is greater than itself. Its abundance is 203728058426880
Bases of 138481361030400
- Binary: 111110111110010101101000101010100001101000000002
- Hexadecimal: 0x7DF2B4550D00
- Base-36: 1D35GIVHMO
Squares and roots of 138481361030400
- 138481361030400 squared (1384813610304002) is 19177087352831987749724160000
- 138481361030400 cubed (1384813610304003) is 2655669157219044323443221478973374464000000
-
The
square root of 138481361030400 is 11767810.3753587057 -
The
cube root of 138481361030400 is 51736.5074588813
Scales and comparisons
How big is 138481361030400?- 138,481,361,030,400 seconds is equal to 4,403,278 years, 48 weeks, 2 days, 10 hours, 40 minutes.
-
To count from 1 to 138,481,361,030,400 would take you about eleven million, eight thousand, one hundred ninety-seven 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 138481361030400 cubic inches would be around 4311.4 feet tall.
Recreational maths with 138481361030400
- 138481361030400 backwards is 004030163184831
- The number of decimal digits it has is: 15
- The sum of 138481361030400's digits is 42
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138481361030400 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 138481361030400 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138481361030400/
Chicago style:
Numbermatics. 2024. "Number 138481361030400 - Facts about the integer". https://numbermatics.com/n/138481361030400/
The information we have on file for 138481361030400 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!
Keywords: Divisors of 138481361030400, math, Factors of 138481361030400, curriculum, school, college, exams, university, Prime factorization of 138481361030400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred eighty-one billion, three hundred sixty-one million, thirty thousand, four hundred.