138823434132111360
138,823,434,132,111,360 is an even composite number composed of five prime numbers multiplied together.
What does the number 138823434132111360 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2700 divisors.
138823434132111360 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, seven hundred divisors.
Prime factorization of 138823434132111360:
214 × 35 × 5 × 374 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 37 × 37 × 37 × 37 × 61 × 61)See below for interesting mathematical facts about the number 138823434132111360 from the Numbermatics database.
Names of 138823434132111360
- Cardinal: 138823434132111360 can be written as One hundred thirty-eight quadrillion, eight hundred twenty-three trillion, four hundred thirty-four billion, one hundred thirty-two million, one hundred eleven thousand, three hundred sixty.
Scientific notation
- Scientific notation: 1.3882343413211136 × 1017
Factors of 138823434132111360
Divisors of 138823434132111360
- Number of divisors d(n): 2700
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 37 40 45 48 54 60 61 64 72 74 80 81 90 96 108 111 120 122 128 135 144 148 160 162 180 183 185 192 216 222 240 243 244 256 270 288 296 305 320 324 333 360 366 370 384 405 432 444 480 486 488 512 540 549 555 576 592 610 640 648 666 720 732 740 768 810 864 888 915 960 972 976 999 1024 1080 1098 1110 1152 1184 1215 1220 1280 1296 1332 1369 1440 1464 1480 1536 1620 1647 1665 1728 1776 1830 1920 1944 1952 1998 2048 2160 2196 2220 2257 2304 2368 2430 2440 2560 2592 2664 2738 2745 2880 2928 2960 2997 3072 3240 3294 3330 3456 3552 3660 3721 3840 3888 3904 3996 4096 4107 4320 4392 4440 4514 4608 4736 4860 4880 4941 4995 5120 5184 5328 5476 5490 5760 5856 5920 5994 6144 6480 6588 6660 6771 6845 6912 7104 7320 7442 7680 7776 7808 7992 8192 8214 8235 8640 8784 8880 8991 9028 9216 9472 9720 9760 9882 9990 10240 10368 10656 10952 10980 11163 11285 11520 11712 11840 11988 12288 12321 12960 13176 13320 13542 13690 13824 14208 14640 14823 14884 14985 15360 15552 15616 15984 16384 16428 16470 17280 17568 17760 17982 18056 18432 18605 18944 19440 19520 19764 19980 20313 20480 20535 20736 21312 21904 21960 22326 22570 23040 23424 23680 23976 24576 24642 24705 25920 26352 26640 27084 27380 27648 28416 29280 29646 29768 29970 30720 31104 31232 31968 32856 32940 33489 33855 34560 35136 35520 35964 36112 36864 36963 37210 37888 38880 39040 39528 39960 40626 40960 41070 41472 42624 43808 43920 44652 44955 45140 46080 46848 47360 47952 49152 49284 49410 50653 51840 52704 53280 54168 54760 55296 55815 56832 58560 59292 59536 59940 60939 61440 61605 62208 62464 63936 65712 65880 66978 67710 69120 70272 71040 71928 72224 73728 73926 74115 74420 75776 77760 78080 79056 79920 81252 81920 82140 82944 83509 85248 87616 87840 89304 89910 90280 92160 93696 94720 95904 98568 98820 100467 101306 101565 103680 105408 106560 108336 109520 110592 110889 111630 113664 117120 118584 119072 119880 121878 122880 123210 124416 124928 127872 131424 131760 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310900819968 312978370560 313818888645 316890600192 320353885440 325693116864 329252604480 332475383808 334740147888 336108994560 341710811136 342584432640 345445355520 351202778112 352100666880 361881240960 366404756472 370409180040 375574044672 376582666374 379678679040 384424662528 386006657024 388626024960 395103125376 396113250240 407116396080 414534426624 415594229760 417304494080 418425184860 422520800256 427138513920 434257489152 439003472640 444491016048 446320197184 455614414848 456779243520 458005945590 460593807360 466351229952 468270370816 469467555840 480530828160 482508321280 488539675296 493878906720 502110221832 504163491840 512566216704 518168033280 526804167168 528151000320 542821861440 548135092224 554125639680 555613770060 557900246480 563361067008 564873999561 569518018560 579009985536 582939037440 585337963520 592654688064 610674594120 621801639936 625956741120 627637777290 633781200384 640707770880 651386233728 658505208960 669480295776 683421622272 685168865280 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3951031253760 4016881774656 4100529733632 4145344266240 4214433337344 4225208002560 4342574891520 4444910160480 4463201971840 4518991996488 4632079884288 4663512299520 4682703708160 4741237504512 4885396752960 5021102218320 5070249603072 5125662167040 5211089869824 5268041671680 5355842366208 5619244449792 5633610670080 5648739995610 5790099855360 5862476103552 5926546880640 6025322661984 6150794600448 6218016399360 6321650006016 6337812003840 6513862337280 6694802957760 6760332804096 6778487994732 6834216222720 6948119826432 7024055562240 7111856256768 7141123154944 7328095129440 7461619679232 7531653327480 7688493250560 7720133140480 7816634804736 7902062507520 8033763549312 8428866674688 8450416005120 8473109993415 8685149783040 8889820320960 8926403943680 9037983992976 9264159768576 9327024599040 9365407416320 9482475009024 9770793505920 10042204436640 10140499206144 10251324334080 10422179739648 10536083343360 10711684732416 11267221340160 11297479991220 11580199710720 11724952207104 11853093761280 12050645323968 12301589200896 12436032798720 12643300012032 12675624007680 13027724674560 13389605915520 13556975989464 13896239652864 14048111124480 14223712513536 14282246309888 14656190258880 15063306654960 15376986501120 15440266280960 15633269609472 15804125015040 16067527098624 16857733349376 16900832010240 16946219986830 17370299566080 17779640641920 17852807887360 18075967985952 18654049198080 18964950018048 19541587011840 20084408873280 20280998412288 20502648668160 20844359479296 21072166686720 21423369464832 22594959982440 23160399421440 23449904414208 23706187522560 24101290647936 25286600024064 25351248015360 26055449349120 26779211831040 27113951978928 27792479305728 28096222248960 28447425027072 28564492619776 29312380517760 30126613309920 30753973002240 31266539218944 31608250030080 32135054197248 33801664020480 33892439973660 34740599132160 35559281283840 35705615774720 36151935971904 37308098396160 37929900036096 39083174023680 40168817746560 41688718958592 42144333373440 42846738929664 45189919964880 46320798842880 46899808828416 47412375045120 48202581295872 50573200048128 50702496030720 52110898698240 53558423662080 54227903957856 56894850054144 57128985239552 58624761035520 60253226619840 61507946004480 62533078437888 63216500060160 64270108394496 67784879947320 69481198264320 71118562567680 71411231549440 72303871943808 75859800072192 78166348047360 80337635493120 83377437917184 84288666746880 85693477859328 90379839929760 93799617656832 94824750090240 96405162591744 101404992061440 104221797396480 107116847324160 108455807915712 113789700108288 114257970479104 117249522071040 120506453239680 125066156875776 126433000120320 128540216788992 135569759894640 138962396528640 142237125135360 142822463098880 144607743887616 151719600144384 156332696094720 160675270986240 171386955718656 180759679859520 187599235313664 189649500180480 192810325183488 208443594792960 214233694648320 216911615831424 227579400216576 234499044142080 241012906479360 250132313751552 252866000240640 257080433577984 271139519789280 284474250270720 285644926197760 289215487775232 312665392189440 321350541972480 342773911437312 361519359719040 375198470627328 379299000360960 385620650366976 416887189585920 428467389296640 433823231662848 455158800433152 468998088284160 482025812958720 514160867155968 542279039578560 568948500541440 571289852395520 578430975550464 625330784378880 642701083944960 723038719438080 750396941254656 758598000721920 771241300733952 856934778593280 867646463325696 937996176568320 964051625917440 1028321734311936 1084558079157120 1137897001082880 1156861951100928 1250661568757760 1285402167889920 1446077438876160 1542482601467904 1713869557186560 1735292926651392 1875992353136640 1928103251834880 2169116158314240 2275794002165760 2313723902201856 2570804335779840 2892154877752320 3084965202935808 3470585853302784 3751984706273280 3856206503669760 4338232316628480 4627447804403712 5141608671559680 5784309755504640 6941171706605568 7712413007339520 8676464633256960 9254895608807424 11568619511009280 13882343413211136 15424826014679040 17352929266513920 23137239022018560 27764686826422272 34705858533027840 46274478044037120 69411717066055680 138823434132111360
- Sum of all divisors σ(n): 521472931121646504
- Sum of proper divisors (its aliquot sum) s(n): 382649496989535144
- 138823434132111360 is an abundant number, because the sum of its proper divisors (382649496989535144) is greater than itself. Its abundance is 243826062857423784
Bases of 138823434132111360
- Binary: 1111011010011001100101101100001011111000111000000000000002
- Hexadecimal: 0x1ED332D85F1C000
- Base-36: 11YWST7ZEO00
Squares and roots of 138823434132111360
- 138823434132111360 squared (1388234341321113602) is 19271945864232661348673891441049600
- 138823434132111360 cubed (1388234341321113603) is 2675397707280918801352133203182456031095822483456000
-
The
square root of 138823434132111360 is 372590169.1297173235 -
The
cube root of 138823434132111360 is 517790.7182832259
Scales and comparisons
How big is 138823434132111360?- 138,823,434,132,111,360 seconds is equal to 4,414,155,796 years, 16 weeks, 6 days, 9 hours, 36 minutes.
-
To count from 1 to 138,823,434,132,111,360 would take you about thirteen billion, two hundred forty-two million, four hundred sixty-seven thousand, three hundred eighty-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 138823434132111360 cubic inches would be around 43149.2 feet tall.
Recreational maths with 138823434132111360
- 138823434132111360 backwards is 063111231434328831
- 138823434132111360 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138823434132111360's digits is 54
- More coming soon!
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"Number 138823434132111360 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 138823434132111360 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138823434132111360/
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Numbermatics. 2024. "Number 138823434132111360 - Facts about the integer". https://numbermatics.com/n/138823434132111360/
The information we have on file for 138823434132111360 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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