138640284263243880
138,640,284,263,243,880 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138640284263243880 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1536 divisors.
138640284263243880 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138640284263243880:
23 × 32 × 5 × 13 × 19 × 61 × 439 × 757 × 76913
(2 × 2 × 2 × 3 × 3 × 5 × 13 × 19 × 61 × 439 × 757 × 76913)See below for interesting mathematical facts about the number 138640284263243880 from the Numbermatics database.
Names of 138640284263243880
- Cardinal: 138640284263243880 can be written as One hundred thirty-eight quadrillion, six hundred forty trillion, two hundred eighty-four billion, two hundred sixty-three million, two hundred forty-three thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.3864028426324388 × 1017
Factors of 138640284263243880
Divisors of 138640284263243880
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 19 20 24 26 30 36 38 39 40 45 52 57 60 61 65 72 76 78 90 95 104 114 117 120 122 130 152 156 171 180 183 190 195 228 234 244 247 260 285 305 312 342 360 366 380 390 439 456 468 488 494 520 549 570 585 610 684 732 741 757 760 780 793 855 878 915 936 988 1098 1140 1159 1170 1220 1235 1317 1368 1464 1482 1514 1560 1586 1710 1756 1830 1976 2195 2196 2223 2271 2280 2318 2340 2379 2440 2470 2634 2745 2964 3028 3172 3420 3477 3512 3660 3705 3785 3951 3965 4390 4392 4446 4542 4636 4680 4758 4940 5268 5490 5707 5795 5928 6056 6344 6585 6813 6840 6954 7137 7320 7410 7570 7902 7930 8341 8780 8892 9084 9272 9516 9841 9880 10431 10536 10980 11115 11355 11414 11590 11895 13170 13626 13908 14274 14383 14820 15067 15140 15804 15860 16682 17121 17385 17560 17784 18168 19032 19682 19755 20862 21960 22230 22710 22828 23180 23790 25023 26340 26779 27252 27816 28535 28548 28766 29523 29640 30134 30280 31608 31720 33364 34065 34242 34770 35685 39364 39510 41705 41724 43149 44460 45201 45420 45656 46177 46360 47580 49205 50046 51363 52155 52680 53558 54504 57070 57096 57532 59046 60268 66728 68130 68484 69540 71370 71915 75069 75335 76913 78728 79020 80337 83410 83448 85605 86298 88569 88920 90402 90840 92354 95160 98410 100092 102726 104310 107116 108433 114140 115064 118092 120536 125115 129447 133895 135603 136260 136968 138531 139080 142740 143830 147615 150138 150670 153826 158040 160674 166820 171210 172596 177138 180804 184708 186979 196820 200184 205452 208620 214232 215745 216866 226005 228280 230739 230885 236184 241011 250230 256815 258894 267790 271206 272520 277062 285480 287660 295230 300276 301340 307652 321348 325299 332323 333640 342420 345192 348127 354276 361608 369416 373958 375345 384565 393640 401685 410904 415593 417240 431490 433732 442845 452010 461478 461770 482022 500460 508801 513630 517788 535580 542165 542412 554124 560937 575320 590460 600301 600552 602680 615304 642696 647235 650598 664646 678015 684840 692217 692655 696254 708552 747916 750690 769130 803370 831186 862980 867464 877363 885690 904020 922956 923540 934895 964044 975897 996969 999869 1000920 1017602 1027260 1035576 1044381 1071160 1084330 1084824 1108248 1121874 1153695 1180920 1200602 1205055 1294470 1301196 1329292 1356030 1384434 1385310 1392508 1461347 1495832 1501380 1526403 1538260 1606740 1626495 1661615 1662372 1682811 1725960 1740635 1754726 1771380 1800903 1808040 1845912 1847080 1869790 1928088 1951794 1993938 1999738 2035204 2054520 2077965 2088762 2168660 2243748 2307390 2401204 2410110 2544005 2588940 2602392 2632089 2658584 2712060 2768868 2770620 2785016 2804685 2922694 2990907 2999607 3001505 3002760 3052806 3076520 3133143 3213480 3252990 3323230 3324744 3365622 3461085 3481270 3509452 3542760 3601806 3739580 3903588 3987876 3999476 4070408 4155930 4177524 4320199 4337320 4384041 4386815 4487496 4579209 4614780 4691693 4802408 4820220 4879485 4984845 4999345 5088010 5177880 5221905 5264178 5402709 5424120 5537736 5541240 5609370 5845388 5981814 5999214 6003010 6105612 6266286 6314137 6505980 6614413 6646460 6731244 6922170 6962540 7018904 7203612 7306735 7479160 7632015 7807176 7896267 7975752 7998952 8311860 8355048 8414055 8640398 8768082 8773630 8998821 9004515 9158418 9229560 9383386 9640440 9758970 9969690 9998690 10176020 10443810 10528356 10805418 11218740 11405719 11690776 11963628 11998428 12006020 12211224 12532572 12628274 12960597 13011960 13152123 13160445 13228826 13292920 13462488 13844340 13925080 14075079 14407224 14613470 14954535 14998035 15264030 15665715 15792534 16623720 16828110 17280796 17536164 17547260 17997642 18009030 18316836 18766772 18942411 18997511 19517940 19843239 19939380 19997380 20271703 20352040 20887620 21056712 21600995 21610836 21920205 22437480 22811438 22896045 23458465 23927256 23996856 24012040 25065144 25256548 25921194 26304246 26320890 26457652 27013545 27688680 28150158 29226940 29909070 29996070 30528060 31331430 31570685 31585068 33072065 33656220 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138658448520 139061780520 142064464040 143811158270 148295032344 150118331922 150213319230 153359753394 156533645252 158019296760 159822522045 160652951706 166798146580 172573389924 180255983076 184683803252 185368790430 195667056565 199123142220 200157775896 200284425640 202441861257 204479671192 208592670780 213096696060 214203935608 215716737405 225319978845 230039630091 230854754065 230951279880 234800467878 240979427559 247158387240 250197219870 255599588990 255716035272 258860084886 267754919510 269922481676 272484299880 277025704878 287622316540 300236663844 300426638460 306719506788 313067290504 319645044090 321305903412 332279465687 333596293160 337403102095 345146779848 352200701817 360511966152 369367606504 370737580860 375295829805 383399383485 391334113130 398246284440 401632379265 404883722514 415538557317 417185341560 426193392120 431433474810 450639957690 460079260182 461709508130 469600935756 481958855118 485639219081 500394439740 508734347069 511199177980 517720169772 535509839020 539844963352 554051409756 575244633080 587001169695 600473327688 600853276920 607325583771 613439013576 639290088180 642611806824 647150212215 664558931374 674806204190 692564262195 704401403634 741475161720 750591659610 766798766970 782668226260 803264758530 809767445028 831077114634 862866949620 877248065447 901279915380 920158520364 923419016260 939201871512 963917710236 971278438162 996838397061 1000788879480 1012209306285 1017468694138 1022398355960 1035440339544 1071019678040 1108102819512 1150198150455 1174002339390 1204897137795 1214651167542 1278580176360 1294300424430 1329117862748 1349612408380 1385128524390 1408802807268 1456917657243 1501183319220 1526203041207 1533597533940 1559157492839 1565336452520 1606529517060 1619534890056 1661397328435 1662154229268 1725733899240 1754496130894 1761003509085 1802559830760 1840317040728 1846838032520 1927835420472 1942556876324 1993676794122 2024418612570 2034937388276 2077692786585 2300396300910 2348004678780 2409794275590 2428196095405 2429302335084 2543671735345 2588600848860 2631744196341 2658235725496 2699224816760 2770257048780 2817605614536 2913835314486 2990515191183 3002366638440 3036627918855 3052406082414 3067195067880 3118314985678 3213059034120 3322794656870 3324308458536 3508992261788 3522007018170 3885113752648 3987353588244 4048837225140 4069874776552 4155385573170 4370752971729 4386240327235 4578609123621 4600792601820 4677472478517 4696009357560 4819588551180 4856392190810 4858604670168 4984191985305 5087343470690 5177201697720 5263488392682 5540514097560 5827670628972 5981030382366 6073255837710 6104812164828 6236629971356 6313309848053 6645589313740 7017984523576 7044014036340 7284588286215 7631015206035 7795787464195 7895232589023 7974707176488 8097674450280 8310771146340 8741505943458 8772480654470 9157218247242 9201585203640 9354944957034 9639177102360 9712784381620 9968383970610 10174686941380 10526976785364 11655341257944 11962060764732 12146511675420 12209624329656 12473259942712 12626619696106 13158720981705 13291178627480 14032417435551 14088028072680 14569176572430 14952575955915 15262030412070 15591574928390 15790465178046 16621542292680 17483011886916 17544961308940 18314436494484 18709889914068 18939929544159 19425568763240 19936767941220 20269047406907 20349373882760 21053953570728 21853764858645 22893045618105 23387362392585 23924121529464 24293023350840 25253239392212 26317441963410 28064834871102 29138353144860 29623992363941 29905151911830 30524060824140 31183149856780 31566549240265 31580930356092 34966023773832 35089922617880 36628872988968 37419779828136 37879859088318 39476162945115 39873535882440 40538094813814 43707529717290 45786091236210 46774724785170 50506478784424 52634883926820 56129669742204 56819788632477 58276706289720 59247984727882 59810303823660 60807142220721 61048121648280 62366299713560 63133098480530 63161860712184 70162087177755 75759718176636 78952325890230 81076189627628 87415059434580 88871977091823 91572182472420 93549449570340 94699647720795 101345237034535 105269767853640 112259339484408 113639577264954 118495969455764 119620607647320 121614284441442 126266196961060 140324174355510 148119961819705 151519436353272 157904651780460 162152379255256 174830118869160 177743954183646 182421426662163 183144364944840 187098899140680 189399295441590 202690474069070 227279154529908 236991938911528 243228568882884 252532393922120 266615931275469 280648348711020 284098943162385 296239923639410 304035711103605 315809303560920 355487908367292 364842853324326 378798590883180 385111900731233 405380948138140 444359885459115 454558309059816 486457137765768 533231862550938 561296697422040 568197886324770 592479847278820 608071422207210 710975816734584 729685706648652 757597181766360 770223801462466 810761896276280 888719770918230 912107133310815 1066463725101876 1136395772649540 1155335702193699 1184959694557640 1216142844414420 1333079656377345 1459371413297304 1540447602924932 1777439541836460 1824214266621630 1925559503656165 2132927450203752 2272791545299080 2310671404387398 2432285688828840 2666159312754690 3080895205849864 3466007106581097 3554879083672920 3648428533243260 3851119007312330 4621342808774796 5332318625509380 5776678510968495 6932014213162194 7296857066486520 7702238014624660 9242685617549592 10664637251018760 11553357021936990 13864028426324388 15404476029249320 17330035532905485 23106714043873980 27728056852648776 34660071065810970 46213428087747960 69320142131621940 138640284263243880
- Sum of all divisors σ(n): 521030159185536000
- Sum of proper divisors (its aliquot sum) s(n): 382389874922292120
- 138640284263243880 is an abundant number, because the sum of its proper divisors (382389874922292120) is greater than itself. Its abundance is 243749590659048240
Bases of 138640284263243880
- Binary: 1111011001000110010011010100111110001000111100000011010002
- Hexadecimal: 0x1EC8C9A9F11E068
- Base-36: 11X3VNC09U20
Squares and roots of 138640284263243880
- 138640284263243880 squared (1386402842632438802) is 19221128420593068638221180357454400
- 138640284263243880 cubed (1386402842632438803) is 2664822708091338907849668989004359348525683179072000
-
The
square root of 138640284263243880 is 372344308.7563497053 -
The
cube root of 138640284263243880 is 517562.9108339235
Scales and comparisons
How big is 138640284263243880?- 138,640,284,263,243,880 seconds is equal to 4,408,332,197 years, 5 days, 11 hours, 18 minutes.
-
To count from 1 to 138,640,284,263,243,880 would take you about thirteen billion, two hundred twenty-four million, nine hundred ninety-six thousand, five hundred ninety-one 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 138640284263243880 cubic inches would be around 43130.2 feet tall.
Recreational maths with 138640284263243880
- 138640284263243880 backwards is 088342362482046831
- 138640284263243880 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138640284263243880's digits is 72
- More coming soon!
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"Number 138640284263243880 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 138640284263243880 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138640284263243880/
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Numbermatics. 2024. "Number 138640284263243880 - Facts about the integer". https://numbermatics.com/n/138640284263243880/
The information we have on file for 138640284263243880 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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