138789989798400
138,789,989,798,400 is an even composite number composed of seven prime numbers multiplied together.
138789989798400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138789989798400:
29 × 32 × 52 × 41 × 53 × 612 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 41 × 53 × 61 × 61 × 149)See below for interesting mathematical facts about the number 138789989798400 from the Numbermatics database.
Names of 138789989798400
- Cardinal: 138789989798400 can be written as One hundred thirty-eight trillion, seven hundred eighty-nine billion, nine hundred eighty-nine million, seven hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.387899897984 × 1014
Factors of 138789989798400
Divisors of 138789989798400
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 41 45 48 50 53 60 61 64 72 75 80 82 90 96 100 106 120 122 123 128 144 149 150 159 160 164 180 183 192 200 205 212 225 240 244 246 256 265 288 298 300 305 318 320 328 360 366 369 384 400 410 424 447 450 477 480 488 492 512 530 549 576 596 600 610 615 636 640 656 720 732 738 745 768 795 800 820 848 894 900 915 954 960 976 984 1025 1060 1098 1152 1192 1200 1220 1230 1272 1280 1312 1325 1341 1440 1464 1476 1490 1525 1536 1590 1600 1640 1696 1788 1800 1830 1845 1908 1920 1952 1968 2050 2120 2173 2196 2235 2304 2384 2385 2400 2440 2460 2501 2544 2560 2624 2650 2682 2745 2880 2928 2952 2980 3050 3075 3180 3200 3233 3280 3392 3576 3600 3660 3690 3721 3725 3816 3840 3904 3936 3975 4100 4240 4346 4392 4470 4575 4608 4768 4770 4800 4880 4920 5002 5088 5248 5300 5364 5490 5760 5856 5904 5960 6100 6109 6150 6360 6400 6466 6519 6560 6705 6784 7152 7200 7320 7380 7442 7450 7503 7632 7680 7808 7872 7897 7950 8200 8480 8692 8784 8940 9089 9150 9225 9536 9540 9600 9699 9760 9840 10004 10176 10496 10600 10728 10865 10980 11163 11175 11520 11712 11808 11920 11925 12200 12218 12300 12505 12720 12800 12932 13038 13120 13410 13568 13725 14304 14400 14640 14760 14884 14900 15006 15264 15616 15744 15794 15900 16165 16400 16960 17384 17568 17880 18178 18300 18327 18450 18605 19072 19080 19200 19398 19520 19557 19680 20008 20352 20992 21200 21456 21730 21960 22326 22350 22509 23040 23424 23616 23691 23840 23850 24400 24436 24600 25010 25440 25864 26076 26240 26820 27136 27267 27450 28608 28800 29097 29280 29520 29768 29800 30012 30528 30545 31232 31488 31588 31800 32330 32595 32800 33489 33525 33920 34768 35136 35760 36356 36600 36654 36900 37210 37515 38144 38160 38400 38796 39040 39114 39360 39485 40016 40704 42400 42912 43460 43920 44652 44700 45018 45445 46848 47232 47382 47680 47700 48495 48800 48872 49200 50020 50880 51728 52152 52480 53640 54325 54534 54900 54981 55815 57216 57600 58194 58560 59040 59536 59600 60024 61056 61090 62525 62976 63176 63600 64660 65190 65600 66978 67050 67840 69536 70272 71073 71520 72712 73200 73308 73800 74420 75030 76288 76320 77592 78080 78228 78720 78970 80032 80825 81408 81801 84800 85824 86920 87840 89304 89400 90036 90890 91635 93025 93696 94464 94764 95360 95400 96990 97600 97744 97785 98400 100040 101760 103456 104304 104960 107280 108650 109068 109800 109962 111630 112545 114432 115200 116388 117120 118080 118455 119072 119200 120048 122112 122180 125050 126352 127200 129320 130380 131200 132553 133956 134100 135680 136335 139072 140544 142146 143040 145424 145485 146400 146616 147600 148840 150060 152561 152640 152725 155184 156160 156456 157440 157940 160064 161650 162975 163602 167445 169600 171648 173840 175680 178608 178800 180072 181780 183270 186050 187575 188928 189528 190720 190800 193980 195200 195488 195570 196800 197213 197425 200080 203520 206912 208608 214560 217300 218136 219600 219924 223260 225090 227225 228864 232776 234240 236160 236910 238144 238400 240096 242475 244224 244360 250100 252704 254400 258640 260760 262400 265106 267912 268200 272670 274905 278144 279075 281088 284292 286080 290848 290970 292800 293232 295200 297680 300120 305122 305280 305450 310368 312912 314880 315880 320128 323300 323777 325950 327204 334890 339200 343296 347680 351360 355365 357216 357600 360144 363560 366540 372100 372649 375150 379056 381440 381600 387960 390400 390976 391140 393600 394426 394850 397659 400160 407040 409005 413824 417216 429120 434600 436272 439200 439848 446520 450180 454450 457683 458175 465552 468480 472320 473820 476288 476800 480192 481717 484950 488720 488925 500200 505408 508800 517280 521520 524800 530212 535824 536400 545340 549810 554429 556288 558150 562725 568584 572160 581696 581940 585600 586464 590400 591639 592275 595360 600240 610244 610560 610900 620736 625824 631760 640256 646600 647554 651900 654408 662765 669780 678400 681675 686592 695360 702720 710730 714432 715200 720288 727120 727425 733080 744200 745298 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4723200 4733112 4738200 4762880 4771908 4801920 4817170 4856655 4881952 4887200 4930325 4965888 4989861 5006592 5054080 5172800 5180432 5215200 5235264 5302120 5358240 5453400 5492196 5498100 5544290 5562880 5589735 5685840 5715456 5721600 5762304 5780604 5816960 5819400 5827986 5864640 5916390 5953600 5962384 5964885 6002400 6064896 6102440 6105600 6207360 6258240 6310816 6317600 6362544 6402560 6475540 6544080 6627650 6653148 6697800 6707682 6865245 6953600 6980352 7027200 7037568 7099668 7107300 7144320 7202880 7225755 7271200 7322928 7330800 7448832 7452980 7581120 7628050 7707472 7759200 7770648 7819520 7822800 7888520 7953180 8003200 8085733 8094425 8180100 8276480 8316435 8344320 8483392 8573184 8582400 8670906 8725440 8796960 8870864 8874585 8930400 8943576 9003600 9097344 9153660 9311040 9316225 9383424 9466224 9476400 9525760 9543816 9603840 9634340 9713310 9763904 9774400 9860650 9941475 9979722 10013184 10108160 10345600 10360864 10430400 10470528 10604240 10716480 10906800 10984392 10996200 11088580 11179470 11371680 11442075 11524608 11561208 11633920 11638800 11655972 11729280 11832780 11907200 11924768 11929770 12004800 12042925 12129792 12204880 12414720 12516480 12621632 12635200 12725088 12951080 13088160 13255300 13306296 13395600 13415364 13730490 13860725 13907200 13960704 14075136 14199336 14214600 14288640 14405760 14451510 14542400 14569965 14645856 14661600 14790975 14897664 14905960 15162240 15256100 15414944 15518400 15541296 15639040 15645600 15777040 15906360 16006400 16171466 16188850 16360200 16632870 16688640 16769205 16966784 17146368 17164800 17341812 17450880 17593920 17741728 17749170 17860800 17887152 18007200 18194688 18307320 18622080 18632450 18932448 18952800 19087632 19207680 19268680 19426620 19527808 19548800 19721300 19750397 19882950 19959444 20216320 20691200 20721728 20860800 20941056 21208480 21432960 21677265 21813600 21968784 21992400 22177160 22358940 22731589 22743360 22884150 23122416 23267840 23277600 23311944 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110885800 111794700 113594688 113657945 113716800 115612080 116339200 116559720 117166848 117292800 117538948 118327800 118502382 119247680 119297700 121285995 122048800 123319552 124147200 124330368 124746525 125164800 126216320 127250880 129371728 129510800 130881600 133062960 134153640 136389534 137304900 138734496 140751360 141933824 141993360 142886400 143097216 144057600 144515100 145543194 145699650 146458560 146923685 149059600 151459584 151622400 152701056 154149440 155412960 157770400 158003176 159063600 159675552 161714660 165773824 166328700 167692050 169667840 173418120 174508800 175750272 175939200 176308422 177417280 177491700 177753573 178871520 181852712 181946880 183073200 184979328 186220800 186495552 189324480 190796288 190876320 192686800 194057592 194266200 195278080 197503970 199594440 202143325 203601408 204584301 207217280 209410560 212084800 212900736 214329600 214645824 216772650 219687840 221771600 223589400 227189376 227315890 227433600 231224160 233119440 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1192476800 1204774217 1212859950 1233195520 1243303680 1262163200 1264025408 1272508800 1277404416 1293717280 1322313165 1330629600 1341536400 1363895340 1387344960 1410467376 1419338240 1419933600 1422028584 1430972160 1454821696 1455431940 1464585600 1469236850 1481279775 1491964416 1514595840 1527010560 1541494400 1552460736 1554129600 1580031760 1596755520 1617146600 1636674408 1696678400 1704869175 1717166592 1734181200 1757502720 1763084220 1774172800 1777535730 1788715200 1818527120 1819289925 1849793280 1864955520 1880623168 1893244800 1896038112 1908763200 1940575920 1952780800 1975039700 1995944400 2045843010 2069947648 2072172800 2115701064 2129007360 2146458240 2182232544 2196878400 2203855275 2219751936 2271893760 2273158900 2312241600 2328691104 2331194400 2350778960 2370047640 2384953600 2409548434 2425719900 2486607360 2524326400 2528050816 2545017600 2554808832 2587434560 2644626330 2661259200 2683072800 2727790680 2774689920 2820934752 2839867200 2844057168 2861944320 2909643392 2910863880 2929171200 2938473700 2962559550 3054021120 3082988800 3104921472 3108259200 3160063520 3193511040 3234293200 3273348816 3409738350 3468362400 3515005440 3526168440 3548345600 3555071460 3577430400 3614322651 3637054240 3638579850 3699586560 3729911040 3761246336 3786489600 3792076224 3817526400 3881151840 3950079400 3991888800 4091686020 4139895296 4144345600 4231402128 4258014720 4292916480 4364465088 4393756800 4407710550 4443839325 4543787520 4546317800 4624483200 4657382208 4662388800 4701557920 4740095280 4769907200 4819096868 4851439800 5056101632 5090035200 5114607525 5174869120 5289252660 5322518400 5366145600 5455581360 5549379840 5641869504 5679734400 5688114336 5819286784 5821727760 5858342400 5876947400 5925119100 6023871085 6165977600 6209842944 6216518400 6320127040 6387022080 6468586400 6546697632 6611565825 6819476700 6936724800 7052336880 7096691200 7110142920 7154860800 7228645302 7274108480 7277159700 7459822080 7522492672 7572979200 7584152448 7635052800 7762303680 7900158800 7983777600 8183372040 8462804256 8585832960 8728930176 8787513600 8815421100 8887678650 9092635600 9248966400 9314764416 9324777600 9403115840 9480190560 9638193736 9702879600 10112203264 10229215050 10349738240 10578505320 10645036800 10732291200 10842967953 10911162720 11098759680 11283739008 11359468800 11376228672 11638573568 11643455520 11753894800 11850238200 12047742170 12419685888 12433036800 12640254080 12774044160 12937172800 13093395264 13223131650 13638953400 13873449600 14104673760 14220285840 14309721600 14457290604 14548216960 14554319400 15044985344 15168304896 15270105600 15524607360 15800317600 15967555200 16366744080 16925608512 17457860352 17575027200 17630842200 17775357300 18071613255 18185271200 18497932800 18629528832 18649555200 18806231680 18960381120 19276387472 19405759200 20458430100 20699476480 21157010640 21290073600 21464582400 21685935906 21822325440 22567478016 22718937600 22752457344 23286911040 23507789600 23700476400 24095484340 25280508160 25874345600 26186790528 26446263300 27277906800 27746899200 28209347520 28440571680 28914581208 29096433920 29108638800 30119355425 30336609792 31049214720 31600635200 31935110400 32733488160 33851217024 34915720704 35261684400 35550714600 36143226510 36370542400 37259057664 37299110400 37612463360 37920762240 38552774944 38811518400 40916860200 42314021280 42929164800 43371871812 43644650880 45134956032 45504914688 46573822080 47015579200 47400952800 48190968680 50561016320 51748691200 52373581056 52892526600 54214839765 54555813600 55493798400 56418695040 56881143360 57829162416 58192867840 58217277600 60238710850 62098429440 63201270400 63870220800 65466976320 67702434048 70523368800 71101429200 72286453020 72741084800 75224926720 75841524480 77105549888 77623036800 81833720400 84628042560 86743743624 87289301760 90358066275 91009829376 93147644160 94031158400 94801905600 96381937360 103497382400 104747162112 105785053200 108429679530 109111627200 112837390080 113762286720 115658324832 116434555200 120477421700 126402540800 130933952640 135404868096 141046737600 142202858400 144572906040 145482169600 151683048960 154211099776 155246073600 163667440800 169256085120 173487487248 174578603520 180716132550 186295288320 188062316800 189603811200 192763874720 211570106400 216859359060 218223254400 225674780160 227524573440 231316649664 232869110400 240954843400 252805081600 261867905280 271074198825 282093475200 284405716800 289145812080 290964339200 308422199552 310492147200 327334881600 338512170240 346974974496 361432265100 376124633600 379207622400 385527749440 423140212800 433718718120 436446508800 455049146880 462633299328 465738220800 481909686800 523735810560 542148397650 564186950400 568811433600 578291624160 616844399104 654669763200 677024340480 693949948992 722864530200 758415244800 771055498880 846280425600 867437436240 872893017600 925266598656 931476441600 963819373600 1084296795300 1128373900800 1137622867200 1156583248320 1309339526400 1387899897984 1445729060400 1542110997760 1692560851200 1734874872480 1850533197312 1927638747200 2168593590600 2275245734400 2313166496640 2618679052800 2775799795968 2891458120800 3084221995520 3385121702400 3469749744960 3855277494400 4337187181200 4626332993280 5551599591936 5782916241600 6939499489920 7710554988800 8674374362400 9252665986560 11565832483200 13878998979840 15421109977600 17348748724800 23131664966400 27757997959680 34697497449600 46263329932800 69394994899200 138789989798400
- Sum of all divisors σ(n): 530580555905400
- Sum of proper divisors (its aliquot sum) s(n): 391790566107000
- 138789989798400 is an abundant number, because the sum of its proper divisors (391790566107000) is greater than itself. Its abundance is 253000576308600
Bases of 138789989798400
- Binary: 111111000111010100100000000101001010010000000002
- Hexadecimal: 0x7E3A900A5200
- Base-36: 1D738OH340
Squares and roots of 138789989798400
- 138789989798400 squared (1387899897984002) is 19262661268239976072642560000
- 138789989798400 cubed (1387899897984003) is 2673464560909061085045120999729659904000000
-
The
square root of 138789989798400 is 11780916.3395043255 -
The
cube root of 138789989798400 is 51774.9134150327
Scales and comparisons
How big is 138789989798400?- 138,789,989,798,400 seconds is equal to 4,413,092 years, 19 weeks, 1 day, 16 hours.
-
To count from 1 to 138,789,989,798,400 would take you about eleven million, thirty-two thousand, seven hundred thirty 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 138789989798400 cubic inches would be around 4314.6 feet tall.
Recreational maths with 138789989798400
- 138789989798400 backwards is 004897989987831
- 138789989798400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138789989798400's digits is 90
- More coming soon!
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"Number 138789989798400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138789989798400 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138789989798400/
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Numbermatics. 2024. "Number 138789989798400 - Facts about the integer". https://numbermatics.com/n/138789989798400/
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