138326421903863400
138,326,421,903,863,400 is an even composite number composed of six prime numbers multiplied together.
138326421903863400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138326421903863400:
23 × 36 × 52 × 292 × 197 × 23932
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 29 × 29 × 197 × 2393 × 2393)See below for interesting mathematical facts about the number 138326421903863400 from the Numbermatics database.
Names of 138326421903863400
- Cardinal: 138326421903863400 can be written as One hundred thirty-eight quadrillion, three hundred twenty-six trillion, four hundred twenty-one billion, nine hundred three million, eight hundred sixty-three thousand, four hundred.
Scientific notation
- Scientific notation: 1.383264219038634 × 1017
Factors of 138326421903863400
Divisors of 138326421903863400
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 29 30 36 40 45 50 54 58 60 72 75 81 87 90 100 108 116 120 135 145 150 162 174 180 197 200 216 225 232 243 261 270 290 300 324 348 360 394 405 435 450 486 522 540 580 591 600 648 675 696 725 729 783 788 810 841 870 900 972 985 1044 1080 1160 1182 1215 1305 1350 1450 1458 1566 1576 1620 1682 1740 1773 1800 1944 1970 2025 2088 2175 2349 2364 2393 2430 2523 2610 2700 2900 2916 2955 3132 3240 3364 3480 3546 3645 3915 3940 4050 4205 4350 4698 4728 4786 4860 4925 5046 5220 5319 5400 5713 5800 5832 5910 6075 6264 6525 6728 7047 7092 7179 7290 7569 7830 7880 8100 8410 8700 8865 9396 9572 9720 9850 10092 10440 10638 11426 11745 11820 11965 12150 12615 13050 14094 14184 14358 14580 14775 15138 15660 15957 16200 16820 17139 17400 17730 18225 18792 19144 19575 19700 20184 21025 21141 21276 21537 22707 22852 23490 23640 23930 24300 25230 26100 26595 28188 28565 28716 29160 29550 30276 31320 31914 33640 34278 35235 35460 35895 36450 37845 39150 39400 42050 42282 42552 43074 44325 45414 45704 46980 47860 47871 48600 50460 51417 52200 53190 56376 57130 57432 58725 59100 59825 60552 63075 63828 64611 68121 68556 69397 70470 70920 71790 72900 75690 78300 79785 84100 84564 85695 86148 88650 90828 93960 95720 95742 100920 102834 105705 106380 107685 113535 114260 117450 118200 119650 126150 127656 129222 132975 136242 137112 138794 140940 142825 143580 143613 145800 151380 154251 156600 159570 165677 168200 169128 171390 172296 176175 177300 179475 181656 189225 191484 193833 204363 205668 208191 211410 212760 215370 227070 228520 234900 239300 239355 252300 257085 258444 265950 272484 277588 281880 285650 287160 287226 302760 308502 319140 323055 331354 340605 342780 346985 352350 354600 358950 378450 382968 387666 398925 408726 411336 416382 422820 428475 430740 454140 462753 469800 471421 478600 478710 497031 504600 514170 516888 528525 531900 538425 544968 555176 567675 571300 574452 581499 613089 617004 624573 638280 646110 662708 681210 685560 693970 704700 717900 718065 756900 771255 775332 797850 817452 828385 832764 845640 856950 861480 908280 925506 942842 957420 969165 994062 1021815 1028340 1040955 1057050 1063800 1076850 1135350 1142600 1148904 1162998 1196775 1226178 1234008 1249146 1285425 1292220 1325416 1362420 1387940 1388259 1409400 1414263 1435800 1436130 1491093 1513800 1542510 1550664 1595700 1615275 1634904 1656770 1665528 1703025 1713900 1734925 1744497 1851012 1873719 1885684 1914840 1938330 1988124 2012513 2043630 2056680 2081910 2114100 2153700 2270700 2313765 2325996 2357105 2393550 2452356 2485155 2498292 2570850 2584440 2724840 2775880 2776518 2828526 2872260 2907495 2982186 3065445 3085020 3122865 3191400 3230550 3313540 3406050 3427800 3469850 3488994 3590325 3702024 3747438 3771368 3856275 3876660 3976248 4025026 4087260 4141925 4163820 4164777 4228200 4242789 4307400 4473279 4541400 4627530 4651992 4714210 4787100 4845825 4904712 4970310 4996584 5109075 5141700 5204775 5553036 5621157 5657052 5726449 5744520 5814990 5964372 6037539 6130890 6170040 6245730 6461100 6627080 6812100 6939700 6941295 6977988 7071315 7180650 7455465 7494876 7712550 7753320 8050052 8174520 8283850 8327640 8329554 8485578 8722485 8946558 9255060 9368595 9428420 9574200 9691650 9940620 10062565 10218150 10283400 10409550 11106072 11242314 11314104 11452898 11568825 11629980 11785525 11928744 12075078 12261780 12425775 12491460 12728367 12922200 13419837 13624200 13671209 13879400 13882590 13955976 14142630 14361300 14537475 14910930 14989752 15327225 15425100 15614325 16100104 16567700 16659108 16863471 16971156 17179347 17444970 17893116 18112617 18510120 18737190 18856840 19383300 19881240 20125130 20436300 20819100 20823885 21213945 22366395 22484628 22905796 23137650 23259960 23571050 24150156 24523560 24851550 24982920 25456734 26839674 27342418 27765180 28105785 28285260 28632245 28722600 29074950 29821860 30187695 30654450 30850200 31228650 33135400 33318216 33726942 33942312 34358694 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13451428701 13537325436 13746636360 13915271070 14272742196 14447830827 14671219770 14764905720 14946031890 15461412300 15858602440 16301355300 16606702100 16610518935 16698325284 16921656795 17183295450 17840927745 17935238268 18456132150 18553694760 19263774436 19561626360 19823253050 19928042520 19932622722 20305988154 20872906605 21409113294 22147358580 22419047835 22562209060 22911060600 23192118450 23787903660 24079718045 24155706600 24452032950 24608176200 24910053150 26576830296 26902857402 27074650872 27684198225 27830542140 28202761325 28545484392 28895661654 29342439540 29734879575 29892063780 30458982231 30922824600 32113669941 32602710600 32715203137 33213404200 33221037870 33396650568 33843313590 34366590900 34788177675 35681855490 35870476536 36678049425 36912264300 37365079725 38527548872 39646506100 39865245444 40354286103 40611976308 41745813210 42818226588 43343492481 44294717160 44838095670 45124418120 46384236900 47575807320 48159436090 48904065900 49820106300 49831556805 50764970385 53522783235 53805714804 55368396450 55661084280 56405522650 57791323308 58684879080 59469759150 59784127560 60917964462 64227339882 65430406274 66442075740 67257143505 67686627180 68733181800 69576355350 71363710980 72239154135 73356098850 73824528600 74730159450 79293012200 79730490888 80708572206 81223952616 83052594675 83491626420 84608283975 85636453176 86686984962 89204638725 89676191340 91376946693 92768473800 96318872180 96341009823 97808131800 98145609411 99640212600 99663113610 101529940770 104364533025 107045566470 107611429608 110736792900 112095239175 112811045300 115582646616 118939518300 120398590225 121062858309 121835928924 128454679764 130030477443 130860812548 132884151480 134514287010 135373254360 139152710700 142727421960 144478308270 146712197700 149460318900 152294911155 160568349705 161417144412 163576015685 166105189350 166983252840 169216567950 173373969924 178409277450 179352382680 182753893386 192637744360 192682019646 196291218822 199326227220 201771430515 203059881540 208729066050 214091132940 216717462405 221473585800 224190478350 225622090600 237879036600 240797180450 242125716618 243671857848 249157784025 253824851925 256909359528 260060954886 261721625096 267613916175 269028574020 274130840079 278305421400 288956616540 289023029469 293424395400 294436828233 298920637800 304589822310 321136699410 322834288824 327152031370 332210378700 336285717525 338433135900 346747939848 356818554900 361195770675 365507786772 385364039292 390091432329 392582437644 398652454440 403542861030 406119763080 417458132100 428182265880 433434924810 448380956700 456884733465 481594360900 481705049115 484251433236 490728047055 498315568050 507649703850 520121909772 535227832350 538057148040 548261680158 577913233080 578046058938 588873656466 605314291545 609179644620 642273398820 650152387215 654304062740 664420757400 672571435050 676866271800 713637109800 722391541350 731015573544 761474555775 770728078584 780182864658 785164875288 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3250761936075 3271520313700 3289570080948 3510822890961 3533241938796 3655077867720 3794963563892 3853640392920 3900914323290 3925824376440 4035428610300 4111962601185 4334349248100 4416552423495 4568847334650 4681097187948 4743704454865 4817050491150 4842514332360 4907280470550 5201219097720 5299862908194 5482616801580 5692445345838 5780460589380 5851371484935 5888736564660 6053142915450 6091796446200 6422733988200 6501523872150 6543040627400 6579140161896 6853271001975 7021645781922 7066483877592 7225575736725 7360920705825 7589927127784 7801828646580 7949794362291 8070857220600 8223925202370 8538668018757 8668698496200 8833104846990 9137694669300 9362194375896 9487408909730 9634100982300 9752285808225 9814560941100 10599725816388 10965233603160 11384890691676 11560921178760 11702742969870 11777473129320 12106285830900 13003047744300 13249657270485 13706542003950 14043291563844 14231113364595 14451151473450 14721841411650 15603657293160 15899588724582 16447850404740 17077336037514 17554114454805 17666209693980 18275389338600 18974817819460 19268201964600 19504571616450 19629121882200 20559813005925 21199451632776 22082762117475 22769781383352 23405485939740 23718522274325 23849383086873 24212571661800 25616004056271 26006095488600 26499314540970 27413084007900 28086583127688 28462226729190 28902302946900 29256857424675 29443682823300 31799177449164 32895700809480 34154672075028 35108228909610 35332419387960 37949635638920 39009143232900 39748971811455 41119626011850 42693340093785 44165524234950 46810971879480 47437044548650 47698766173746 51232008112542 52998629081940 54826168015800 56924453458380 57804605893800 58513714849350 58887365646600 63598354898328 66248286352425 68309344150056 70216457819220 71155566822975 76848012168813 78018286465800 79497943622910 82239252023700 85386680187570 87770572274025 88331048469900 94874089097300 95397532347492 102464016225084 105997258163880 113848906916760 117027429698700 119246915434365 128080020281355 132496572704850 140432915638440 142311133645950 153696024337626 158995887245820 164478504047400 170773360375140 175541144548050 176662096939800 189748178194600 190795064694984 198744859057275 204928032450168 213466700468925 230544036506439 234054859397400 238493830868730 256160040562710 264993145409700 284622267291900 307392048675252 317991774491640 341546720750280 351082289096100 384240060844065 397489718114550 426933400937850 461088073012878 476987661737460 512320081125420 529986290819400 569244534583800 596234577171825 614784097350504 640400101406775 691632109519317 702164578192200 768480121688130 794979436229100 853866801875700 922176146025756 953975323474920 1024640162250840 1152720182532195 1192469154343650 1280800202813550 1383264219038634 1536960243376260 1589958872458200 1707733603751400 1844352292051512 1921200304220325 2305440365064390 2384938308687300 2561600405627100 2766528438077268 3073920486752520 3458160547596585 3842400608440650 4610880730128780 4769876617374600 5123200811254200 5533056876154536 5763600912660975 6916321095193170 7684801216881300 9221761460257560 11527201825321950 13832642190386340 15369602433762600 17290802737982925 23054403650643900 27665284380772680 34581605475965850 46108807301287800 69163210951931700 138326421903863400
- Sum of all divisors σ(n): 502138337773245030
- Sum of proper divisors (its aliquot sum) s(n): 363811915869381630
- 138326421903863400 is an abundant number, because the sum of its proper divisors (363811915869381630) is greater than itself. Its abundance is 225485493965518230
Bases of 138326421903863400
- Binary: 1111010110110111100100101110110001010000101101110011010002
- Hexadecimal: 0x1EB6F25D8A16E68
- Base-36: 11U0MGYF6MI0
Squares and roots of 138326421903863400
- 138326421903863400 squared (1383264219038634002) is 19134198996725620206751845859560000
- 138326421903863400 cubed (1383264219038634003) is 2646765283213547923662270820080029789657824104000000
-
The
square root of 138326421903863400 is 371922602.0341643609 -
The
cube root of 138326421903863400 is 517172.0522058247
Scales and comparisons
How big is 138326421903863400?- 138,326,421,903,863,400 seconds is equal to 4,398,352,344 years, 42 weeks, 6 days, 22 hours, 30 minutes.
-
To count from 1 to 138,326,421,903,863,400 would take you about thirteen billion, one hundred ninety-five million, fifty-seven thousand and thirty-four 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 138326421903863400 cubic inches would be around 43097.7 feet tall.
Recreational maths with 138326421903863400
- 138326421903863400 backwards is 004368309124623831
- The number of decimal digits it has is: 18
- The sum of 138326421903863400's digits is 63
- More coming soon!
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"Number 138326421903863400 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
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Numbermatics. (2024). Number 138326421903863400 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/138326421903863400/
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The information we have on file for 138326421903863400 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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