42135310786849168
42,135,310,786,849,168 is an even composite number composed of seven prime numbers multiplied together.
42135310786849168 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 42135310786849168:
24 × 73 × 31 × 43 × 73 × 1741 × 45319
(2 × 2 × 2 × 2 × 7 × 7 × 7 × 31 × 43 × 73 × 1741 × 45319)See below for interesting mathematical facts about the number 42135310786849168 from the Numbermatics database.
Names of 42135310786849168
- Cardinal: 42135310786849168 can be written as Forty-two quadrillion, one hundred thirty-five trillion, three hundred ten billion, seven hundred eighty-six million, eight hundred forty-nine thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 4.2135310786849168 × 1016
Factors of 42135310786849168
Divisors of 42135310786849168
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 4 7 8 14 16 28 31 43 49 56 62 73 86 98 112 124 146 172 196 217 248 292 301 343 344 392 434 496 511 584 602 686 688 784 868 1022 1168 1204 1333 1372 1519 1736 1741 2044 2107 2263 2408 2666 2744 3038 3139 3472 3482 3577 4088 4214 4526 4816 5332 5488 6076 6278 6964 7154 8176 8428 9052 9331 10633 10664 12152 12187 12556 13928 14308 14749 15841 16856 18104 18662 21266 21328 21973 24304 24374 25039 25112 27856 28616 29498 31682 33712 36208 37324 42532 43946 45319 48748 50078 50224 53971 57232 58996 63364 65317 74648 74863 85064 85309 87892 90638 97309 97496 100156 107942 110887 117992 126728 127093 130634 149296 149726 153811 170128 170618 175784 181276 194618 194992 200312 215884 221774 235984 253456 254186 261268 299452 307622 317233 341236 351568 362552 377797 389236 400624 431768 443548 457219 508372 522536 524041 597163 598904 615244 634466 681163 682472 725104 755594 776209 778472 863536 887096 889651 914438 1016744 1045072 1048082 1076677 1194326 1197808 1230488 1268932 1362326 1364944 1404889 1511188 1552418 1556944 1774192 1779302 1828876 1948717 2033488 2096164 2153354 2220631 2320753 2388652 2460976 2537864 2644579 2724652 2809778 3022376 3104836 3308287 3558604 3657752 3668287 3897434 3939883 4192328 4306708 4441262 4641506 4768141 4777304 5075728 5289158 5449304 5464999 5619556 6044752 6209672 6227557 6616574 7117208 7315504 7336574 7794868 7879766 8384656 8613416 8882524 9283012 9536282 9554608 9834223 10578316 10898608 10929998 11239112 12419344 12455114 13233148 13641019 14234416 14673148 15544417 15589736 15759532 16245271 17226832 17765048 18512053 18566024 19072564 19668446 21156632 21859996 22478224 23158009 24910228 25678009 26466296 27282038 27579181 29346296 31088834 31179472 31519064 32490542 33376987 35530096 37024106 37132048 38145128 38254993 39336892 42313264 43592899 43719992 46316018 49820456 51356018 52932592 54564076 55158362 58692592 60410227 62177668 63038128 64981084 66753974 68839561 74048212 76290256 76509986 78673784 78900379 87185798 87439984 92632036 95487133 99640912 102556897 102712036 109128152 110316724 113716897 120820454 124355336 129962168 133507948 137679122 142256341 148096424 153019972 157347568 157800758 162106063 169414969 174371596 185264072 190974266 193054267 205113794 205424072 218256304 220633448 227433794 241640908 248710672 259924336 267015896 267784951 275358244 284512682 296192848 306039944 315601516 324212126 338829938 348743192 370528144 381948532 386108534 410227588 410848144 422871589 441266896 454867588 481876927 483281816 534031792 535569902 550716488 552302653 569025364 612079888 631203032 648424252 668409931 677659876 697486384 717898279 763897064 772217068 796018279 820455176 845743178 909735176 963753854 966563632 995794387 1071139804 1101432976 1104605306 1134742441 1138050728 1185904783 1262406064 1296848504 1336819862 1351379869 1355319752 1435796558 1527794128 1544434136 1592036558 1640910352 1691486356 1819470352 1874494657 1927507708 1991588774 2142279608 2209210612 2269484882 2276101456 2371809566 2445911749 2593697008 2673639724 2702759738 2710639504 2871593116 2960101123 3088868272 3184073116 3382972712 3392716297 3748989314 3855015416 3866118571 3983177548 4284559216 4409946571 4418421224 4538969764 4743619132 4891823498 5025287953 5347279448 5405519476 5743186232 5759727667 5920202246 6368146232 6765945424 6785432594 6970560709 7497978628 7710030832 7732237142 7966355096 8301333481 8819893142 8836842448 9077939528 9487238264 9783646996 10050575906 10694558896 10811038952 11486372464 11519455334 11840404492 12736292464 13570865188 13941121418 14995957256 15464474284 15932710192 16602666962 17121382243 17639786284 18155879056 18974476528 19567293992 20101151812 20720707861 21622077904 23038910668 23680808984 23749014079 27062829997 27141730376 27882242836 29991914512 30869625997 30928948568 33205333924 34242764486 35177015671 35279572568 39134587984 40202303624 40318093669 41441415722 46077821336 47361617968 47498028158 48793924963 54125659994 54283460752 55764485672 58109334367 61739251994 61857897136 66410667848 68485528972 70354031342 70559145136 80404607248 80636187338 82882831444 92155642672 94996056316 97587849926 105174205207 108251319988 111528971344 116218668734 119849675701 123478503988 132821335696 136971057944 140708062684 161272374676 165765662888 166243098553 178551557677 189992112632 195175699852 210348410414 216087381979 216502639976 232437337468 239699351402 246957007976 247668289681 273942115888 281416125368 282226655683 322544749352 331531325776 332486197106 357103115354 379984225264 390351399704 420696820828 432174763958 433005279952 464874674936 479398702804 493914015952 495336579362 562832250736 564453311366 645089498704 664972394212 714206230708 736219436449 780702799408 838947729907 841393641656 864349527916 929749349872 958797405608 990673158724 1128906622732 1163701689871 1249860903739 1329944788424 1428412461416 1472438872898 1512611673853 1677895459814 1682787283312 1728699055832 1733678027767 1917594811216 1975586589781 1981346317448 2257813245464 2327403379742 2499721807478 2659889576848 2856824922832 2944877745796 3025223347706 3355790919628 3457398111664 3467356055534 3951173179562 3962692634896 4515626490928 4654806759484 4999443614956 5153536055143 5889755491592 6050446695412 6711581839256 6934712111068 7677716980111 7902346359124 8749026326173 9309613518968 9998887229912 10307072110286 11779510983184 12100893390824 12135746194369 13423163678512 13869424222136 15355433960222 15804692718248 17498052652346 18619227037936 19997774459824 20614144220572 24201786781648 24271492388738 27738848444272 30710867920444 31609385436496 34996105304692 36074752386001 41228288441144 48542984777476 53744018860777 61243184283211 61421735840888 69992210609384 72149504772002 82456576882288 84950223360583 97085969554952 107488037721554 122486368566422 122843471681776 139984421218768 144299009544004 169900446721166 194171939109904 214976075443108 244972737132844 288598019088008 339800893442332 376208132025439 429952150886216 489945474265688 577196038176016 679601786884664 752416264050878 859904301772432 979890948531376 1359203573769328 1504832528101756 2633456924178073 3009665056203512 5266913848356146 6019330112407024 10533827696712292 21067655393424584 42135310786849168
- Sum of all divisors σ(n): 101998576689152000
- Sum of proper divisors (its aliquot sum) s(n): 59863265902302832
- 42135310786849168 is an abundant number, because the sum of its proper divisors (59863265902302832) is greater than itself. Its abundance is 17727955115453664
Bases of 42135310786849168
- Binary: 100101011011000111010111100001111111001101101001100100002
- Hexadecimal: 0x95B1D787F36990
- Base-36: BIVPYJX05N4
Squares and roots of 42135310786849168
- 42135310786849168 squared (421353107868491682) is 1775384415104367852975773182292224
- 42135310786849168 cubed (421353107868491683) is 74806374096550971744207103805502821472788787269632
-
The
square root of 42135310786849168 is 205268874.3741952905 -
The
cube root of 42135310786849168 is 347975.5531414275
Scales and comparisons
How big is 42135310786849168?- 42,135,310,786,849,168 seconds is equal to 1,339,772,549 years, 49 weeks, 2 days, 2 hours, 59 minutes, 28 seconds.
-
To count from 1 to 42,135,310,786,849,168 would take you about four billion, nineteen million, three hundred seventeen thousand, six hundred forty-nine 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 42135310786849168 cubic inches would be around 28998 feet tall.
Recreational maths with 42135310786849168
- 42135310786849168 backwards is 86194868701353124
- The number of decimal digits it has is: 17
- The sum of 42135310786849168's digits is 76
- 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 42135310786849168 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 42135310786849168 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/42135310786849168/
Chicago style:
Numbermatics. 2024. "Number 42135310786849168 - Facts about the integer". https://numbermatics.com/n/42135310786849168/
The information we have on file for 42135310786849168 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 42135310786849168, math, Factors of 42135310786849168, curriculum, school, college, exams, university, Prime factorization of 42135310786849168, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, one hundred thirty-five trillion, three hundred ten billion, seven hundred eighty-six million, eight hundred forty-nine thousand, one hundred sixty-eight.