40138137533040
40,138,137,533,040 is an even composite number composed of nine prime numbers multiplied together.
What does the number 40138137533040 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1280 divisors.
40138137533040 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 40138137533040:
24 × 3 × 5 × 23 × 37 × 53 × 61 × 89 × 683
(2 × 2 × 2 × 2 × 3 × 5 × 23 × 37 × 53 × 61 × 89 × 683)See below for interesting mathematical facts about the number 40138137533040 from the Numbermatics database.
Names of 40138137533040
- Cardinal: 40138137533040 can be written as Forty trillion, one hundred thirty-eight billion, one hundred thirty-seven million, five hundred thirty-three thousand and forty.
Scientific notation
- Scientific notation: 4.013813753304 × 1013
Factors of 40138137533040
Divisors of 40138137533040
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 37 40 46 48 53 60 61 69 74 80 89 92 106 111 115 120 122 138 148 159 178 183 184 185 212 222 230 240 244 265 267 276 296 305 318 345 356 366 368 370 424 444 445 460 488 530 534 552 555 592 610 636 683 690 712 732 740 795 848 851 888 890 915 920 976 1060 1068 1104 1110 1219 1220 1272 1335 1366 1380 1403 1424 1464 1480 1590 1702 1776 1780 1830 1840 1961 2047 2049 2120 2136 2220 2257 2438 2440 2544 2553 2670 2732 2760 2806 2928 2960 3180 3233 3293 3404 3415 3560 3657 3660 3922 4094 4098 4209 4240 4255 4272 4440 4514 4717 4876 4880 5106 5340 5429 5464 5520 5612 5883 6095 6141 6360 6466 6586 6771 6808 6830 7015 7120 7314 7320 7844 8188 8196 8418 8510 8880 9028 9434 9699 9752 9805 9879 10212 10235 10245 10680 10858 10928 11224 11285 11766 12190 12282 12720 12765 12932 13172 13542 13616 13660 14030 14151 14628 14640 15688 15709 16165 16287 16376 16392 16465 16836 17020 18056 18285 18868 19398 19504 19610 19758 20424 20470 20490 21045 21360 21716 22448 22570 23532 23585 24380 24564 25271 25530 25864 26344 27084 27145 27320 28060 28302 29256 29415 30705 31376 31418 32330 32574 32752 32784 32930 33672 33855 34040 36112 36199 36570 37736 38796 39220 39516 40848 40940 40980 41663 42090 43432 45103 45140 47064 47127 47170 48495 48760 49128 49395 50542 51060 51728 51911 52688 54168 54290 54640 56120 56604 58512 58830 60787 61410 62836 64660 65148 65860 67344 67710 68080 70755 72398 73140 74359 75472 75739 75813 77592 78440 78545 79032 81435 81880 81960 83326 84180 86864 90206 90280 94128 94254 94340 96990 97520 98256 98790 101084 102120 103822 108336 108491 108580 108597 112240 113208 117660 119621 121574 122820 124867 124989 125672 126355 129320 130296 131720 135309 135420 141510 144796 146280 148718 151478 151626 155184 155733 156880 157090 158064 162870 163760 163920 166652 168360 174529 180412 180560 180995 182361 188508 188680 193980 197580 200873 202168 204240 207644 208315 216982 217160 217194 223077 225515 226416 227217 235320 235635 239242 243148 245640 249734 249978 251344 252710 258640 259555 260592 263440 270618 270840 283020 287737 289592 292560 297436 302956 303252 303935 311466 314180 325473 325740 333304 336720 349058 358863 360824 361990 364722 371795 374601 377016 377360 378695 379065 387960 395160 401746 404336 415288 416630 433964 434320 434388 446154 451030 454434 470640 471270 478484 486296 491280 499468 499956 505420 519110 523587 541236 541680 542455 542985 566040 575474 579184 581233 594872 598105 602619 605912 606504 607870 622932 624335 624945 628360 650946 651480 666608 676545 698116 717726 721648 723980 729444 743590 749202 754032 757390 758130 775920 778665 790320 803492 830576 832577 833260 863211 867928 868776 872645 892308 902060 908868 911805 942540 956968 958249 972592 998936 999912 1004365 1010840 1038220 1047174 1082472 1084910 1085970 1115385 1132080 1136085 1150948 1162466 1189744 1196210 1205238 1211824 1213008 1215740 1245864 1248670 1249890 1256720 1301892 1302960 1339363 1353090 1396232 1398101 1435452 1438685 1447960 1458888 1487180 1498404 1514780 1516260 1541531 1557330 1606984 1627365 1665154 1666520 1726422 1735856 1737552 1743699 1745290 1784616 1794315 1804120 1817736 1823610 1873005 1885080 1913936 1916498 1997872 1999824 2008730 2021680 2076440 2094348 2164944 2169820 2171940 2208139 2230770 2249119 2272170 2301896 2324932 2392420 2410476 2431480 2491728 2497340 2497731 2499780 2603784 2617935 2678726 2706180 2751283 2792464 2796202 2870904 2874747 2877370 2895920 2906165 2917776 2974360 2996808 3013095 3029560 3032520 3083062 3114660 3213968 3221711 3254730 3330308 3333040 3452844 3487398 3490580 3569232 3588630 3608240 3635472 3647220 3708007 3746010 3770160 3832996 4014167 4017460 4018089 4152880 4162885 4188696 4194303 4316055 4339640 4343880 4416278 4461540 4498238 4544340 4603792 4620079 4624593 4649864 4784840 4791245 4820952 4862960 4994680 4995462 4999560 5207568 5235870 5357452 5412360 5502566 5592404 5741808 5749494 5754740 5812330 5948720 5993616 6026190 6059120 6065040 6166124 6229320 6443422 6509460 6617951 6624417 6660616 6696815 6747357 6905688 6974796 6981160 6990505 7177260 7294440 7416014 7492020 7665992 7707655 8028334 8034920 8036178 8253849 8325770 8377392 8388606 8632110 8679280 8687760 8718495 8832556 8923080 8996476 9088680 9240158 9249186 9299728 9569680 9582490 9641904 9665133 9989360 9990924 9999120 10471740 10646269 10714904 10824720 11005132 11040695 11124021 11184808 11245595 11498988 11509480 11624660 12042501 12052380 12332248 12458640 12488655 12886844 13018920 13235902 13248834 13321232 13393630 13494714 13756415 13811376 13860237 13949592 13962320 13981010 14354520 14373735 14588880 14832028 14984040 15331984 15415310 16056668 16069840 16072356 16108555 16507698 16651540 16777212 17264220 17436990 17665112 17846160 17992952 18177360 18480316 18498372 18540035 19164980 19330266 19853853 19981848 20070835 20090445 20943480 20971515 21292538 21429808 22010264 22081390 22248042 22369616 22491190 22997976 23018960 23100395 23122965 23249320 24085002 24104760 24664496 24977310 25773688 26037840 26471804 26497668 26787260 26989428 27512830 27720474 27899184 27962020 28709040 28747470 29664056 29968080 30805349 30830620 31938807 32113336 32144712 32217110 33015396 33089755 33122085 33303080 33554424 33736785 34528440 34873980 35330224 35455213 35985904 36960632 36996744 37080070 38329960 38660532 39707706 39963696 40141670 40180890 41269245 41886960 41943030 42585076 44020528 44162780 44496084 44982380 45995952 46200790 46245930 46498640 48170004 48209520 48325665 49954620 50787197 51547376 51729737 52943608 52995336 53231345 53574520 53978856 55025660 55440948 55620105 55924040 57494940 59328112 60212505 61610698 61661240 63877614 64226672 64289424 64434220 66030792 66179510 66244170 66606160 67108848 67473570 69056880 69301185 69747960 70910426 73921264 73993488 74099353 74160140 76659920 77321064 79415412 80283340 80361780 81701143 82538490 83886060 85170152 85284161 88325560 88992168 89964760 92401580 92416047 92491860 96340008 96651330 99269265 99909240 101574394 103459474 105887216 105990672 106365639 106462690 107149040 107957712 110051320 110881896 111240210 111848080 114989880 119203307 120425010 123221396 123322480 127755228 128868440 132061584 132359020 132488340 134947140 137196259 138602370 139495920 141820852 148198706 148320280 152361591 154026745 154642128 155189211 158830824 159694035 160566680 160723560 163402286 165076980 167772120 170340304 170568322 176651120 177276065 177984336 179929520 184803160 184832094 184983720 192680016 193302660 196524371 198538530 199818480 203148788 206918948 212731278 212925380 220102640 221763792 222298059 222480420 229979760 238406614 240850020 244864187 245103429 246442792 253935985 255510456 255852483 257736880 258648685 264718040 264976680 269894280 274392518 277204740 283641704 296397412 296640560 304723182 308053490 310378422 317661648 319388070 321133360 321447120 326804572 330153960 335544240 341136644 354552130 357609921 369606320 369664188 369967440 370496765 386605320 393048742 397077060 406297576 408505715 411588777 413837896 425462556 425850760 426420805 444596118 444960840 462080235 476813228 481700040 489728374 490206858 492885584 507871970 511020912 511704966 517297370 529436080 529953360 531828195 539788560 548785036 554409480 567283408 589573113 592794824 596016535 609446364 616106980 620756844 638776140 653609144 660307920 682273288 685981295 709104260 715219842 734592561 739328376 740993530 761807955 773210640 775946055 786097484 794154120 812595152 817011430 823177554 827675792 850925112 851701520 852841610 889192236 889921680 924160470 953626456 963400080 979456748 980413716 982621855 1015743940 1023409932 1034594740 1063656390 1097570072 1108818960 1111490295 1179146226 1185589648 1192033070 1218892728 1224320935 1225517145 1232213960 1241513688 1277552280 1279262415 1307218288 1364546576 1371962590 1418208520 1430439684 1469185122 1478656752 1481987060 1523615910 1551892110 1572194968 1588308240 1634022860 1646355108 1701850224 1705683220 1778384472 1788049605 1848320940 1879126289 1907252912 1958913496 1960827432 1965243710 2031487880 2046819864 2057943885 2069189480 2127312780 2195140144 2222980590 2358292452 2384066140 2437785456 2448641870 2451034290 2464427920 2483027376 2555104560 2558524830 2741676061 2743925180 2836417040 2860879368 2938370244 2947865565 2963974120 3047231820 3103784220 3144389936 3155513957 3268045720 3292710216 3411366440 3556768944 3576099210 3672962805 3696641880 3758252578 3917826992 3921654864 3930487420 4062975760 4093639728 4115887770 4138378960 4254625560 4445961180 4520060533 4716584904 4768132280 4897283740 4902068580 5117049660 5483352122 5487850360 5637378867 5721758736 5876740488 5895731130 5927948240 6094463640 6207568440 6311027914 6536091440 6585420432 6822732880 7152198420 7271401727 7345925610 7393283760 7516505156 7860974840 8225028183 8231775540 8509251120 8891922360 9040121066 9395631445 9433169808 9466541871 9536264560 9794567480 9804137160 10234099320 10966704244 10975700720 11274757734 11753480976 11791462260 12188927280 12415136880 12622055828 13560181599 13708380305 14304396840 14542803454 14691851220 15033010312 15721949680 15777569785 16450056366 16463551080 17783844720 18080242132 18791262890 18933083742 19589134960 19608274320 20468198640 21814205181 21933408488 22549515468 22600302665 23582924520 25244111656 27120363198 27416760610 28186894335 28608793680 29085606908 29383702440 30066020624 31555139570 32900112732 32927102160 36160484264 36357008635 37582525780 37866167484 41125140915 43628410362 43866816976 45099030936 45200605330 47165849040 47332709355 50488223312 54240726396 54833521220 56373788670 58171213816 58767404880 63110279140 65800225464 67800907995 72320968528 72714017270 75165051560 75732334968 82250281830 87256820724 90198061872 90401210660 94665418710 108481452792 109071025905 109667042440 112747577340 116342427632 126220558280 131600450928 135601815990 145428034540 150330103120 151464669936 164500563660 167242239721 174513641448 180802421320 189330837420 216962905584 218142051810 219334084880 225495154680 252441116560 271203631980 290856069080 329001127320 334484479442 349027282896 361604842640 378661674840 436284103620 450990309360 501726719163 542407263960 581712138160 658002254640 668968958884 757323349680 836211198605 872568207240 1003453438326 1084814527920 1337937917768 1672422397210 1745136414480 2006906876652 2508633595815 2675875835536 3344844794420 4013813753304 5017267191630 6689689588840 8027627506608 10034534383260 13379379177680 20069068766520 40138137533040
- Sum of all divisors σ(n): 139846574960640
- Sum of proper divisors (its aliquot sum) s(n): 99708437427600
- 40138137533040 is an abundant number, because the sum of its proper divisors (99708437427600) is greater than itself. Its abundance is 59570299894560
Bases of 40138137533040
- Binary: 10010010000001011000110110110111111010011100002
- Hexadecimal: 0x2481636DFA70
- Base-36: E877ER1IO
Squares and roots of 40138137533040
- 40138137533040 squared (401381375330402) is 1611070084621234377091641600
- 40138137533040 cubed (401381375330403) is 64665352631893496443316744460627838464000
-
The
square root of 40138137533040 is 6335466.6389335521 -
The
cube root of 40138137533040 is 34238.8423443607
Scales and comparisons
How big is 40138137533040?- 40,138,137,533,040 seconds is equal to 1,276,268 years, 32 weeks, 1 day, 4 minutes.
-
To count from 1 to 40,138,137,533,040 would take you about three million, one hundred ninety thousand, six hundred seventy-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 40138137533040 cubic inches would be around 2853.2 feet tall.
Recreational maths with 40138137533040
- 40138137533040 backwards is 04033573183104
- The number of decimal digits it has is: 14
- The sum of 40138137533040's digits is 42
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 40138137533040 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
APA style:
Numbermatics. (2024). Number 40138137533040 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/40138137533040/
Chicago style:
Numbermatics. 2024. "Number 40138137533040 - Facts about the integer". https://numbermatics.com/n/40138137533040/
The information we have on file for 40138137533040 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!
Keywords: Divisors of 40138137533040, math, Factors of 40138137533040, curriculum, school, college, exams, university, Prime factorization of 40138137533040, STEM, science, technology, engineering, physics, economics, calculator, forty trillion, one hundred thirty-eight billion, one hundred thirty-seven million, five hundred thirty-three thousand and forty.