138307774116937605120
138,307,774,116,937,605,120 is an even composite number composed of five prime numbers multiplied together.
138307774116937605120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred forty-eight divisors.
Prime factorization of 138307774116937605120:
213 × 310 × 5 × 37 × 393132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 37 × 39313 × 39313)See below for interesting mathematical facts about the number 138307774116937605120 from the Numbermatics database.
Names of 138307774116937605120
- Cardinal: 138307774116937605120 can be written as One hundred thirty-eight quintillion, three hundred seven quadrillion, seven hundred seventy-four trillion, one hundred sixteen billion, nine hundred thirty-seven million, six hundred five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3830777411693760512 × 1020
Factors of 138307774116937605120
Divisors of 138307774116937605120
- Number of divisors d(n): 1848
-
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 64 72 74 80 81 90 96 108 111 120 128 135 144 148 160 162 180 185 192 216 222 240 243 256 270 288 296 320 324 333 360 370 384 405 432 444 480 486 512 540 555 576 592 640 648 666 720 729 740 768 810 864 888 960 972 999 1024 1080 1110 1152 1184 1215 1280 1296 1332 1440 1458 1480 1536 1620 1665 1728 1776 1920 1944 1998 2048 2160 2187 2220 2304 2368 2430 2560 2592 2664 2880 2916 2960 2997 3072 3240 3330 3456 3552 3645 3840 3888 3996 4096 4320 4374 4440 4608 4736 4860 4995 5120 5184 5328 5760 5832 5920 5994 6144 6480 6561 6660 6912 7104 7290 7680 7776 7992 8192 8640 8748 8880 8991 9216 9472 9720 9990 10240 10368 10656 10935 11520 11664 11840 11988 12288 12960 13122 13320 13824 14208 14580 14985 15360 15552 15984 17280 17496 17760 17982 18432 18944 19440 19683 19980 20480 20736 21312 21870 23040 23328 23680 23976 24576 25920 26244 26640 26973 27648 28416 29160 29970 30720 31104 31968 32805 34560 34992 35520 35964 36864 37888 38880 39313 39366 39960 40960 41472 42624 43740 44955 46080 46656 47360 47952 51840 52488 53280 53946 55296 56832 58320 59049 59940 61440 62208 63936 65610 69120 69984 71040 71928 73728 75776 77760 78626 78732 79920 80919 82944 85248 87480 89910 92160 93312 94720 95904 98415 103680 104976 106560 107892 110592 113664 116640 117939 118098 119880 122880 124416 127872 131220 134865 138240 139968 142080 143856 151552 155520 157252 157464 159840 161838 165888 170496 174960 179820 184320 186624 189440 191808 196565 196830 207360 209952 213120 215784 221184 227328 233280 235878 236196 239760 242757 248832 255744 262440 269730 276480 279936 284160 287712 295245 303104 311040 314504 314928 319680 323676 331776 340992 349920 353817 359640 368640 373248 378880 383616 393130 393660 404595 414720 419904 426240 431568 454656 466560 471756 472392 479520 485514 497664 511488 524880 539460 552960 559872 568320 575424 589695 590490 622080 629008 629856 639360 647352 663552 681984 699840 707634 719280 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6922311016863744 7026762897776640 7114597433998848 7300874900598480 7503676981170660 7691456685404160 7787599893971712 7905108259998720 8003922113248704 8652888771079680 8893246792498560 9004412377404792 9229748022484992 9486129911998464 9734499867464640 10004902641560880 10383466525295616 10540144346664960 10671896150998272 11255515471755990 11537185028106240 11681399840957568 11857662389998080 12005883169873056 12648173215997952 12979333156619520 13339870188747840 13506618566107188 13844622033727488 14229194867997696 14601749801196960 15007353962341320 15382913370808320 15575199787943424 15810216519997440 16007844226497408 16883273207633985 17305777542159360 17786493584997120 18008824754809584 18972259823996928 19468999734929280 20009805283121760 20766933050591232 21080288693329920 21343792301996544 22511030943511980 23074370056212480 23362799681915136 23715324779996160 24011766339746112 25958666313239040 26679740377495680 27013237132214376 27689244067454976 28458389735995392 29203499602393920 30014707924682640 31150399575886848 31620433039994880 32015688452994816 33766546415267970 34611555084318720 35572987169994240 36017649509619168 37944519647993856 38937999469858560 40019610566243520 41533866101182464 42687584603993088 45022061887023960 46148740112424960 46725599363830272 47430649559992320 48023532679492224 51917332626478080 53359480754991360 54026474264428752 56916779471990784 58406999204787840 60029415849365280 62300799151773696 63240866079989760 64031376905989632 67533092830535940 69223110168637440 71145974339988480 72035299019238336 77875998939717120 80039221132487040 83067732202364928 85375169207986176 90044123774047920 93451198727660544 94861299119984640 96047065358984448 103834665252956160 106718961509982720 108052948528857504 113833558943981568 116813998409575680 120058831698730560 124601598303547392 128062753811979264 135066185661071880 138446220337274880 142291948679976960 144070598038476672 155751997879434240 160078442264974080 170750338415972352 180088247548095840 186902397455321088 189722598239969280 192094130717968896 207669330505912320 213437923019965440 216105897057715008 233627996819151360 240117663397461120 249203196607094784 256125507623958528 270132371322143760 284583897359953920 288141196076953344 311503995758868480 320156884529948160 341500676831944704 360176495096191680 373804794910642176 384188261435937792 415338661011824640 426875846039930880 432211794115430016 467255993638302720 480235326794922240 512251015247917056 540264742644287520 569167794719907840 576282392153906688 623007991517736960 640313769059896320 720352990192383360 747609589821284352 768376522871875584 853751692079861760 864423588230860032 934511987276605440 960470653589844480 1024502030495834112 1080529485288575040 1152564784307813376 1246015983035473920 1280627538119792640 1440705980384766720 1536753045743751168 1707503384159723520 1728847176461720064 1869023974553210880 1920941307179688960 2161058970577150080 2305129568615626752 2561255076239585280 2881411960769533440 3073506091487502336 3457694352923440128 3738047949106421760 3841882614359377920 4322117941154300160 4610259137231253504 5122510152479170560 5762823921539066880 6915388705846880256 7683765228718755840 8644235882308600320 9220518274462507008 11525647843078133760 13830777411693760512 15367530457437511680 17288471764617200640 23051295686156267520 27661554823387521024 34576943529234401280 46102591372312535040 69153887058468802560 138307774116937605120
- Sum of all divisors σ(n): 511343868695376552516
- Sum of proper divisors (its aliquot sum) s(n): 373036094578438947396
- 138307774116937605120 is an abundant number, because the sum of its proper divisors (373036094578438947396) is greater than itself. Its abundance is 234728320461501342276
Bases of 138307774116937605120
- Binary: 11101111111011001111110101111000101111110110000100000100000000000002
- Hexadecimal: 0x77F67EBC5FB082000
- Base-36: T6SPQ3T400000
Squares and roots of 138307774116937605120
- 138307774116937605120 squared (1383077741169376051202) is 19129040381181835735750809251201050214400
- 138307774116937605120 cubed (1383077741169376051203) is 2645694996114275360264522432416156880553278041300798537728000
-
The
square root of 138307774116937605120 is 11760432565.0435836815 -
The
cube root of 138307774116937605120 is 5171488.1117082057
Scales and comparisons
How big is 138307774116937605120?- 138,307,774,116,937,605,120 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,307,774,116,937,605,120 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138307774116937605120 cubic inches would be around 430957.3 feet tall.
Recreational maths with 138307774116937605120
- 138307774116937605120 backwards is 021506739611477703831
- 138307774116937605120 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138307774116937605120's digits is 81
- More coming soon!
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"Number 138307774116937605120 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 138307774116937605120 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138307774116937605120/
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Numbermatics. 2024. "Number 138307774116937605120 - Facts about the integer". https://numbermatics.com/n/138307774116937605120/
The information we have on file for 138307774116937605120 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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