42428508528640
42,428,508,528,640 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42428508528640 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 896 divisors.
42428508528640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 42428508528640:
213 × 5 × 13 × 31 × 37 × 127 × 547
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 31 × 37 × 127 × 547)See below for interesting mathematical facts about the number 42428508528640 from the Numbermatics database.
Names of 42428508528640
- Cardinal: 42428508528640 can be written as Forty-two trillion, four hundred twenty-eight billion, five hundred eight million, five hundred twenty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.242850852864 × 1013
Factors of 42428508528640
Divisors of 42428508528640
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 31 32 37 40 52 62 64 65 74 80 104 124 127 128 130 148 155 160 185 208 248 254 256 260 296 310 320 370 403 416 481 496 508 512 520 547 592 620 635 640 740 806 832 962 992 1016 1024 1040 1094 1147 1184 1240 1270 1280 1480 1612 1651 1664 1924 1984 2015 2032 2048 2080 2188 2294 2368 2405 2480 2540 2560 2735 2960 3224 3302 3328 3848 3937 3968 4030 4064 4096 4160 4376 4588 4699 4736 4810 4960 5080 5120 5470 5735 5920 6448 6604 6656 7111 7696 7874 7936 8060 8128 8192 8255 8320 8752 9176 9398 9472 9620 9920 10160 10240 10940 11470 11840 12896 13208 13312 14222 14911 15392 15748 15872 16120 16256 16510 16640 16957 17504 18352 18796 18944 19240 19685 19840 20239 20320 20480 21880 22940 23495 23680 25792 26416 26624 28444 29822 30784 31496 31744 32240 32512 33020 33280 33914 35008 35555 36704 37592 37888 38480 39370 39680 40478 40640 40960 43760 45880 46990 47360 51181 51584 52832 53248 56888 59644 61087 61568 62992 63488 64480 65024 66040 66560 67828 69469 70016 71110 73408 74555 75184 75776 76960 78740 79360 80956 81280 84785 87520 91760 93980 94720 101195 102362 103168 105664 106496 113776 119288 122174 123136 125984 126976 128960 130048 132080 133120 135656 138938 140032 142220 145669 146816 149110 150368 151552 153920 157480 158720 161912 162560 169570 175040 183520 187960 189440 202390 204724 206336 211328 220441 227552 238576 244348 246272 251968 253952 255905 257920 260096 263107 264160 266240 271312 277876 280064 284440 291338 293632 298220 300736 303104 305435 307840 314960 317440 323824 325120 339140 347345 350080 367040 375920 378880 404780 409448 412672 422656 440882 455104 477152 488696 492544 503936 511810 515840 520192 526214 528320 532480 542624 555752 560128 568880 582676 587264 596440 601472 610870 615680 627409 629920 634880 647648 650240 678280 694690 700160 728345 734080 751840 757760 809560 818896 825344 845312 881764 903097 910208 954304 977392 985088 1007872 1023620 1031680 1040384 1052428 1056640 1085248 1102205 1111504 1120256 1137760 1165352 1174528 1192880 1202944 1221740 1231360 1254818 1259840 1269760 1295296 1300480 1315535 1356560 1389380 1400320 1456690 1468160 1503680 1515520 1619120 1637792 1650688 1690624 1763528 1806194 1820416 1893697 1908608 1954784 1970176 2015744 2047240 2063360 2104856 2113280 2153539 2170496 2204410 2223008 2240512 2275520 2330704 2349056 2385760 2405888 2443480 2462720 2509636 2519680 2570353 2590592 2600960 2631070 2713120 2778760 2800640 2913380 2936320 3007360 3137045 3238240 3275584 3301376 3381248 3527056 3612388 3640832 3787394 3817216 3909568 3940352 4031488 4094480 4126720 4209712 4226560 4307078 4340992 4408820 4446016 4481024 4515485 4551040 4661408 4698112 4771520 4811776 4886960 4925440 5019272 5039360 5140706 5181184 5201920 5262140 5426240 5557520 5601280 5826760 5872640 6014720 6274090 6476480 6551168 6762496 7054112 7224776 7281664 7574788 7634432 7819136 8062976 8156317 8188960 8253440 8419424 8453120 8614156 8681984 8817640 8892032 9030970 9102080 9322816 9396224 9468485 9543040 9623552 9773920 9850880 10038544 10078720 10281412 10362368 10524280 10767695 10852480 11115040 11202560 11653520 11745280 12029440 12548180 12851765 12952960 13102336 13524992 14108224 14449552 14563328 15149576 15268864 15638272 16125952 16312634 16377920 16506880 16838848 16906240 17228312 17363968 17635280 17784064 18061940 18204160 18645632 18936970 19086080 19247104 19547840 19701760 20077088 20157440 20562824 20724736 21048560 21535390 21704960 22230080 22405120 23307040 23490560 24058880 25096360 25703530 25905920 26204672 27996007 28216448 28899104 29126656 30299152 30537728 31276544 32251904 32625268 32755840 33414589 33677696 33812480 34456624 34727936 35270560 35568128 36123880 36408320 37291264 37873940 38172160 38494208 39095680 40154176 40314880 40781585 41125648 41449472 42097120 43070780 43409920 44460160 46614080 46981120 48117760 50192720 51407060 51811840 52409344 55992014 56432896 57798208 58253312 60598304 61075456 62553088 65250536 65511680 66829178 67355392 67624960 68913248 69455872 70541120 71136256 72247760 72816640 74582528 75747880 76344320 78191360 79680943 80308352 80629760 81563170 82251296 82898944 84194240 86141560 86819840 88920320 93228160 96235520 100385440 102814120 103623680 104818688 111984028 112865792 115596416 121196608 122150912 125106176 130501072 131023360 133658356 134710784 137826496 138911744 139980035 141082240 142272512 144495520 145633280 149165056 151495760 152688640 156382720 159361886 160616704 161259520 163126340 164502592 165797888 167072945 168388480 172283120 173639680 177840640 186456320 192471040 200770880 205628240 207247360 209637376 223968056 225731584 231192832 242393216 250212352 261002144 262046720 267316712 269421568 275652992 279960070 282164480 284545024 288991040 291266560 298330112 302991520 305377280 312765440 318723772 321233408 326252680 329005184 334145890 336776960 344566240 347279360 355681280 372912640 398404715 401541760 411256480 414494720 419274752 447936112 451463168 462385664 484786432 500424704 522004288 524093440 534633424 538843136 551305984 559920140 564328960 569090048 577982080 596660224 605983040 610754560 625530880 637447544 642466816 652505360 658010368 668291780 673553920 689132480 694558720 711362560 745825280 796809430 803083520 822512960 828989440 895872224 902926336 924771328 969572864 1035852259 1044008576 1048186880 1069266848 1077686272 1102611968 1119840280 1128657920 1155964160 1193320448 1211966080 1251061760 1274895088 1284933632 1305010720 1316020736 1336583560 1347107840 1378264960 1422725120 1491650560 1593618860 1606167040 1645025920 1791744448 1805852672 1849542656 1939145728 2071704518 2088017152 2096373760 2138533696 2155372544 2205223936 2239680560 2257315840 2311928320 2423932160 2502123520 2549790176 2569867264 2610021440 2632041472 2673167120 2694215680 2756529920 2845450240 2983301120 3187237720 3212334080 3290051840 3583488896 3699085312 3878291456 4143409036 4176034304 4277067392 4410447872 4479361120 4514631680 4623856640 4847864320 5099580352 5139734528 5179261295 5220042880 5264082944 5346334240 5388431360 5513059840 5966602240 6374475440 6424668160 6580103680 7166977792 7398170624 7756582912 8286818072 8352068608 8554134784 8820895744 8958722240 9029263360 9247713280 9695728640 10199160704 10358522590 10440085760 10528165888 10692668480 10776862720 11026119680 12748950880 12849336320 13160207360 14333955584 15513165824 16573636144 16704137216 17108269568 17641791488 17917444480 18495426560 19391457280 20398321408 20717045180 20880171520 21056331776 21385336960 22052239360 25497901760 25698672640 26320414720 28667911168 33147272288 33408274432 34216539136 35834888960 36990853120 38782914560 40796642816 41434090360 41760343040 42770673920 44104478720 50995803520 52640829440 57335822336 66294544576 66816548864 68433078272 71669777920 77565829120 81593285632 82868180720 83520686080 85541347840 88208957440 101991607040 105281658880 114671644672 132589089152 136866156544 143339555840 163186571264 165736361440 167041372160 171082695680 203983214080 229343289344 265178178304 273732313088 286679111680 326373142528 331472722880 334082744320 342165391360 407966428160 530356356608 573358223360 652746285056 662945445760 684330782720 815932856320 1060712713216 1146716446720 1325890891520 1368661565440 1631865712640 2121425426432 2651781783040 3263731425280 4242850852864 5303563566080 8485701705728 10607127132160 21214254264320 42428508528640
- Sum of all divisors σ(n): 117380733861888
- Sum of proper divisors (its aliquot sum) s(n): 74952225333248
- 42428508528640 is an abundant number, because the sum of its proper divisors (74952225333248) is greater than itself. Its abundance is 32523716804608
Bases of 42428508528640
- Binary: 10011010010110101010000010110111100000000000002
- Hexadecimal: 0x2696A82DE000
- Base-36: F1FDYI874
Squares and roots of 42428508528640
- 42428508528640 squared (424285085286402) is 1800178335964877217700249600
- 42428508528640 cubed (424285085286403) is 76378881880558756274685474120656748544000
-
The
square root of 42428508528640 is 6513716.9518363323 -
The
cube root of 42428508528640 is 34878.0815262187
Scales and comparisons
How big is 42428508528640?- 42,428,508,528,640 seconds is equal to 1,349,095 years, 17 weeks, 1 day, 13 hours, 30 minutes, 40 seconds.
-
To count from 1 to 42,428,508,528,640 would take you about three million, three hundred seventy-two thousand, seven hundred thirty-eight 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 42428508528640 cubic inches would be around 2906.5 feet tall.
Recreational maths with 42428508528640
- 42428508528640 backwards is 04682580582424
- The number of decimal digits it has is: 14
- The sum of 42428508528640's digits is 58
- 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 42428508528640 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 42428508528640 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/42428508528640/
Chicago style:
Numbermatics. 2024. "Number 42428508528640 - Facts about the integer". https://numbermatics.com/n/42428508528640/
The information we have on file for 42428508528640 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 42428508528640, math, Factors of 42428508528640, curriculum, school, college, exams, university, Prime factorization of 42428508528640, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, four hundred twenty-eight billion, five hundred eight million, five hundred twenty-eight thousand, six hundred forty.