40942872688640
40,942,872,688,640 is an even composite number composed of seven prime numbers multiplied together.
What does the number 40942872688640 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
40942872688640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 40942872688640:
211 × 5 × 13 × 29 × 372 × 61 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 29 × 37 × 37 × 61 × 127)See below for interesting mathematical facts about the number 40942872688640 from the Numbermatics database.
Names of 40942872688640
- Cardinal: 40942872688640 can be written as Forty trillion, nine hundred forty-two billion, eight hundred seventy-two million, six hundred eighty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.094287268864 × 1013
Factors of 40942872688640
Divisors of 40942872688640
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 29 32 37 40 52 58 61 64 65 74 80 104 116 122 127 128 130 145 148 160 185 208 232 244 254 256 260 290 296 305 320 370 377 416 464 481 488 508 512 520 580 592 610 635 640 740 754 793 832 928 962 976 1016 1024 1040 1073 1160 1184 1220 1270 1280 1369 1480 1508 1586 1651 1664 1769 1856 1885 1924 1952 2032 2048 2080 2146 2257 2320 2368 2405 2440 2540 2560 2738 2960 3016 3172 3302 3328 3538 3683 3712 3770 3848 3904 3965 4064 4160 4292 4514 4640 4699 4736 4810 4880 5080 5120 5365 5476 5920 6032 6344 6604 6656 6845 7076 7366 7424 7540 7696 7747 7808 7930 8128 8255 8320 8584 8845 9028 9280 9398 9472 9620 9760 10160 10240 10730 10952 11285 11840 12064 12688 13208 13312 13690 13949 14152 14732 14848 15080 15392 15494 15616 15860 16256 16510 16640 17168 17690 17797 18056 18415 18560 18796 18944 19240 19520 20320 21460 21904 22570 22997 23495 23680 24128 25376 26416 26624 27380 27898 28304 29341 29464 29696 30160 30784 30988 31232 31720 32512 33020 33280 34336 35380 35594 36112 36830 37120 37592 37888 38480 38735 39040 39701 40640 42920 43808 45140 45994 46990 47360 47879 48256 50752 52832 54760 55796 56608 58682 58928 59392 60320 61087 61568 61976 62464 63440 65024 65453 66040 66560 68672 69745 70760 71188 72224 73660 74240 75184 75776 76960 77470 78080 79402 81280 83509 85840 87616 88985 90280 91988 93980 94720 95758 96512 100711 101504 105664 109520 111592 113216 114985 117364 117856 120640 122174 123136 123952 124928 126880 130048 130906 132080 133120 136271 137344 139490 141520 142376 144448 146705 147320 148480 150368 153920 154940 156160 158804 162560 167018 171680 173863 175232 177970 180560 183976 187960 189440 191516 193024 198505 201422 203008 211328 219040 223184 224663 226432 229970 234728 235712 239395 241280 244348 246272 247904 253760 260096 261812 264160 272542 274688 278980 283040 284752 286639 288896 293410 294640 296960 300736 305435 307840 309880 312320 317608 325120 327265 334036 343360 347726 350464 355940 361120 367952 375920 378880 383032 386048 397010 402844 406016 417545 422656 438080 446368 449326 452864 459940 469456 471424 478790 482560 488696 492544 495808 503555 507520 516113 523624 528320 545084 549376 557960 566080 569504 573278 577792 586820 589280 601472 610870 615680 619760 624640 635216 650240 654530 668072 681355 686720 695452 700928 711880 722240 735904 751840 766064 772096 794020 805688 812032 835090 845312 850889 869315 876160 892736 898652 905728 919880 938912 942848 957580 965120 977392 985088 991616 1007110 1015040 1032226 1047248 1056640 1085617 1090168 1098752 1115920 1123315 1132160 1139008 1146556 1155584 1173640 1178560 1202944 1221740 1231360 1239520 1270432 1300480 1309060 1336144 1362710 1373440 1390904 1401856 1423760 1433195 1444480 1471808 1503680 1532128 1588040 1611376 1624064 1670180 1690624 1701778 1738630 1752320 1771523 1785472 1797304 1811456 1839760 1877824 1885696 1915160 1930240 1954784 1983232 2014220 2030080 2064452 2094496 2113280 2171234 2180336 2197504 2231840 2246630 2260219 2264320 2278016 2293112 2311168 2347280 2357120 2405888 2421761 2443480 2462720 2479040 2540864 2580565 2618120 2672288 2725420 2746880 2781808 2803712 2847520 2866390 2888960 2920619 2943616 3007360 3064256 3176080 3222752 3340360 3381248 3403556 3477260 3504640 3543046 3570944 3594608 3622912 3679520 3726307 3755648 3771392 3830320 3860480 3909568 3966464 4028440 4060160 4128904 4188992 4226560 4254445 4342468 4360672 4463680 4493260 4520438 4528640 4556032 4586224 4622336 4694560 4714240 4811776 4843522 4886960 4925440 4958080 5042027 5081728 5161130 5236240 5344576 5428085 5450840 5493760 5563616 5695040 5732780 5777920 5841238 5887232 6014720 6128512 6352160 6445504 6680720 6807112 6954520 7009280 7086092 7141888 7189216 7359040 7452614 7511296 7542784 7660640 7819136 7932928 8056880 8120320 8257808 8312531 8377984 8453120 8508890 8684936 8721344 8857615 8927360 8986520 9040876 9057280 9112064 9172448 9389120 9428480 9623552 9687044 9773920 9916160 10084054 10163456 10322260 10472480 10605643 10689152 10856170 10901680 10987520 11127232 11301095 11390080 11465560 11555840 11682476 11774464 12029440 12108805 12257024 12704320 12891008 13361440 13614224 13909040 14018560 14172184 14283776 14378432 14603095 14718080 14905228 15022592 15321280 15638272 15865856 16113760 16515616 16625062 16755968 16906240 17017780 17369872 17442688 17715230 17854720 17973040 18081752 18114560 18224128 18344896 18631535 18778240 18856960 19374088 19547840 19832320 20168108 20326912 20644520 20944960 21211286 21378304 21712340 21803360 22254464 22602190 22780160 22931120 23111680 23364952 23548928 24058880 24217610 24514048 25210135 25408640 25782016 26722880 27228448 27818080 28344368 28567552 28756864 29206190 29436160 29810456 30045184 30642560 31276544 31482893 32227520 33031232 33250124 33511936 34035560 34739744 34885376 35430460 35709440 35946080 36163504 36448256 36689792 37263070 37556480 37713920 38748176 39095680 39664640 40336216 40653824 41289040 41562655 41889920 42422572 42756608 43424680 43606720 44508928 45204380 45560320 45862240 46729904 47097856 48117760 48435220 49028096 50420270 50817280 51564032 53028215 53445760 54456896 55636160 56688736 57513728 58412380 58872320 59620912 60090368 61285120 62553088 62965786 64455040 65546351 66062464 66500248 67023872 68071120 69479488 69770752 70860920 71418880 71892160 72327008 73379584 74526140 75112960 77496352 78191360 79329280 80672432 81307648 82578080 83125310 83779840 84845144 85513216 86849360 87213440 89017856 90408760 91120640 91724480 93459808 96870440 98056192 100840540 101634560 103128064 106056430 106891520 108062903 108913792 111272320 113377472 115027456 116824760 117744640 119241824 122570240 125106176 125931572 128910080 131092702 132124928 133000496 134047744 136142240 137873359 138958976 139541504 141721840 142837760 143784320 144654016 146759168 149052280 150225920 154992704 156382720 157414465 161344864 165156160 166250620 167559680 169690288 171026432 173698720 174426880 178035712 180817520 182241280 183448960 186919616 193740880 201681080 203269120 206256128 212112860 213783040 216125806 217827584 222544640 226754944 230054912 233649520 235489280 238483648 245140480 251863144 257820160 262185404 264249856 266000992 272284480 275746718 277917952 279083008 283443680 287568640 289308032 293518336 298104560 300451840 307563647 309985408 312765440 314828930 322689728 327731755 330312320 332501240 335119360 339380576 347397440 348853760 356071424 361635040 366897920 373839232 387481760 403362160 406538240 424225720 427566080 432251612 435655168 445089280 453509888 460109824 467299040 476967296 490280960 503726288 515640320 524370808 528499712 532001984 540314515 544568960 551493436 555835904 566887360 575137280 578616064 587036672 596209120 615127294 619970816 625530880 629657860 645379456 655463510 660624640 665002480 670238720 678761152 689366795 694794880 697707520 723270080 733795840 747678464 774963520 806724320 848451440 855132160 864503224 871310336 890178560 907019776 934598080 953934592 1007452576 1031280640 1048741616 1056999424 1064003968 1080629030 1089137920 1102986872 1111671808 1133774720 1150274560 1157232128 1192418240 1230254588 1239941632 1259315720 1290758912 1310927020 1321249280 1330004960 1357522304 1378733590 1389589760 1395415040 1446540160 1467591680 1495356928 1537818235 1549927040 1613448640 1696902880 1729006448 1742620672 1780357120 1814039552 1869196160 1907869184 2014905152 2097483232 2128007936 2161258060 2178275840 2205973744 2223343616 2267549440 2300549120 2314464256 2384836480 2460509176 2479883264 2518631440 2581517824 2621854040 2642498560 2660009920 2715044608 2757467180 2779179520 2893080320 2935183360 2990713856 3075636470 3099854080 3226897280 3393805760 3458012896 3628079104 3738392320 3815738368 3998327411 4029810304 4194966464 4256015872 4322516120 4356551680 4411947488 4535098880 4628928512 4769672960 4921018352 4959766528 5037262880 5163035648 5243708080 5284997120 5320019840 5430089216 5514934360 5558359040 5786160640 5981427712 6151272940 6199708160 6453794560 6787611520 6916025792 7476784640 7631476736 7996654822 8059620608 8389932928 8512031744 8645032240 8713103360 8823894976 9070197760 9539345920 9842036704 10074525760 10326071296 10487416160 10640039680 10860178432 11029868720 11116718080 11572321280 12302545880 12399416320 12907589120 13575223040 13832051584 14953569280 15993309644 16119241216 16779865856 17024063488 17290064480 17647789952 18140395520 19078691840 19684073408 19991637055 20149051520 20974832320 21280079360 21720356864 22059737440 23144642560 24605091760 24798832640 25815178240 27150446080 27664103168 29907138560 31986619288 32238482432 33559731712 34580128960 35295579904 38157383680 39368146816 39983274110 40298103040 41949664640 42560158720 44119474880 49210183520 51630356480 54300892160 55328206336 63973238576 64476964864 67119463424 69160257920 70591159808 78736293632 79966548220 80596206080 83899329280 85120317440 88238949760 98420367040 108601784320 110656412672 127946477152 134238926848 138320515840 141182319616 157472587264 159933096440 161192412160 167798658560 176477899520 196840734080 221312825344 255892954304 276641031680 282364639232 314945174528 319866192880 322384824320 335597317120 352955799040 393681468160 511785908608 553282063360 629890349056 639732385760 671194634240 705911598080 787362936320 1023571817216 1106564126720 1279464771520 1411823196160 1574725872640 2047143634432 2558929543040 3149451745280 4094287268864 5117859086080 8188574537728 10235718172160 20471436344320 40942872688640
- Sum of all divisors σ(n): 115225925068800
- Sum of proper divisors (its aliquot sum) s(n): 74283052380160
- 40942872688640 is an abundant number, because the sum of its proper divisors (74283052380160) is greater than itself. Its abundance is 33340179691520
Bases of 40942872688640
- Binary: 10010100111100110000010110000111111000000000002
- Hexadecimal: 0x253CC161F800
- Base-36: EIGW9A9KW
Squares and roots of 40942872688640
- 40942872688640 squared (409428726886402) is 1676318823998183222385049600
- 40942872688640 cubed (409428726886403) is 68633308196528338864767514749691756544000
-
The
square root of 40942872688640 is 6398661.7888930493 -
The
cube root of 40942872688640 is 34466.1497256531
Scales and comparisons
How big is 40942872688640?- 40,942,872,688,640 seconds is equal to 1,301,856 years, 36 weeks, 5 days, 7 hours, 17 minutes, 20 seconds.
-
To count from 1 to 40,942,872,688,640 would take you about three million, two hundred fifty-four thousand, six hundred forty-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 40942872688640 cubic inches would be around 2872.2 feet tall.
Recreational maths with 40942872688640
- 40942872688640 backwards is 04688627824904
- The number of decimal digits it has is: 14
- The sum of 40942872688640's digits is 68
- 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 40942872688640 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 40942872688640 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/40942872688640/
Chicago style:
Numbermatics. 2024. "Number 40942872688640 - Facts about the integer". https://numbermatics.com/n/40942872688640/
The information we have on file for 40942872688640 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 40942872688640, math, Factors of 40942872688640, curriculum, school, college, exams, university, Prime factorization of 40942872688640, STEM, science, technology, engineering, physics, economics, calculator, forty trillion, nine hundred forty-two billion, eight hundred seventy-two million, six hundred eighty-eight thousand, six hundred forty.