42206790667722681
42,206,790,667,722,681 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 42206790667722681 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
42206790667722681 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 42206790667722681:
3 × 7 × 112 × 133 × 193 × 313 × 37
(3 × 7 × 11 × 11 × 13 × 13 × 13 × 19 × 19 × 19 × 31 × 31 × 31 × 37)See below for interesting mathematical facts about the number 42206790667722681 from the Numbermatics database.
Names of 42206790667722681
- Cardinal: 42206790667722681 can be written as Forty-two quadrillion, two hundred six trillion, seven hundred ninety billion, six hundred sixty-seven million, seven hundred twenty-two thousand, six hundred eighty-one.
Scientific notation
- Scientific notation: 4.2206790667722681 × 1016
Factors of 42206790667722681
Divisors of 42206790667722681
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 3 7 11 13 19 21 31 33 37 39 57 77 91 93 111 121 133 143 169 209 217 231 247 259 273 341 361 363 399 403 407 429 481 507 589 627 651 703 741 777 847 961 1001 1023 1083 1147 1183 1209 1221 1443 1463 1573 1729 1767 1859 2109 2197 2299 2387 2527 2541 2717 2821 2849 2883 3003 3211 3367 3441 3549 3751 3971 4123 4389 4433 4477 4693 4719 4921 5187 5239 5291 5577 6253 6479 6591 6727 6859 6897 7161 7581 7657 7733 8029 8151 8463 8547 9139 9633 10101 10571 11011 11191 11253 11913 12369 12493 12617 13013 13299 13357 13431 14079 14763 14911 15379 15717 15873 16093 18259 18759 19019 19437 20181 20449 20577 21793 22477 22971 23199 24087 24167 26257 27417 27797 29791 29887 31031 31339 31713 32851 33033 33573 35321 35557 36673 37037 37479 37851 39039 40071 41743 43681 43771 44733 45353 46137 48013 48279 48763 51623 53599 54131 54777 57057 57629 58201 61009 61347 63973 65379 67431 68107 68783 71269 72501 73997 75449 78337 78771 81289 83391 84227 85063 87451 88319 89167 89373 89661 93093 93499 94017 98553 99541 100529 104377 105963 106671 110019 111111 116281 118807 123101 125229 127813 131043 131313 136059 137423 138787 143143 144039 145483 146289 146927 152551 154869 160797 162393 162409 164021 169169 172887 173641 174603 183027 191919 193843 200849 204321 206349 208537 209209 212629 213807 221991 226347 235011 237367 239723 243867 247247 248899 252681 253783 255189 262353 264957 265837 267501 280497 283309 292201 298623 301587 305767 313131 327701 341341 346921 348843 356421 361361 369303 383439 387283 388531 391127 403403 407407 412269 414067 416361 427063 429429 436449 440781 457653 459173 462241 476749 481481 487227 492063 498883 507507 520923 528143 566029 567853 569023 581529 589589 595441 602547 624169 625611 627627 633919 637887 671099 675583 696787 703703 712101 719169 741741 746697 749177 756613 761349 793117 797511 813967 829939 831649 849927 861707 876603 894179 917301 926497 961961 971509 980837 983103 1018381 1024023 1028489 1040763 1084083 1094951 1102267 1105819 1136863 1148147 1159171 1161849 1165593 1173381 1210209 1215487 1222221 1242201 1281189 1294033 1306877 1354111 1356901 1377519 1386723 1405943 1430247 1444443 1488403 1496649 1511653 1544491 1584429 1600313 1616197 1661569 1678061 1698087 1703559 1707069 1768767 1776481 1786323 1786499 1804231 1860859 1872507 1891279 1901757 1910051 1983163 2013297 2026749 2090361 2111109 2111317 2132273 2209339 2247531 2257333 2269839 2293907 2338919 2379351 2428447 2441901 2489817 2494947 2519959 2585121 2611037 2636953 2682537 2710981 2719717 2737889 2764177 2779491 2791613 2885883 2898469 2914527 2942511 3055143 3085467 3085771 3116399 3214211 3235687 3284853 3299179 3306801 3317457 3410589 3444441 3477513 3604711 3646461 3683017 3816131 3882099 3920631 3962203 3974971 4062333 4070703 4217829 4260113 4302397 4437433 4465209 4509973 4534959 4554737 4633473 4697693 4729081 4800939 4848591 4984707 5034183 5034679 5050903 5084651 5244239 5296291 5329443 5359497 5382871 5412693 5551819 5582577 5673837 5730153 5809573 5949489 6009133 6226319 6259253 6333951 6396819 6485479 6591499 6628017 6771999 6865859 6881721 7016757 7285341 7358377 7382089 7431413 7559877 7664657 7715869 7740733 7833111 7867273 7910859 8114197 8132943 8159151 8213667 8240947 8292531 8374839 8695407 8724287 8782579 9058231 9148139 9257313 9349197 9478777 9642633 9707061 9835969 9897537 10581571 10754551 10789207 10811437 10814133 11049051 11202191 11313379 11448393 11886609 11924913 12044461 12124937 12505493 12629617 12750881 12780339 12836077 12907191 13238953 13312299 13370357 13529919 13664211 14093079 14187243 14234363 14329471 14375647 14779219 14925911 15069223 15104037 15152709 15253953 15465373 15732717 15801331 15888873 16148613 16372433 16655457 16989401 17428719 17603443 17639713 18027399 18277259 18458671 18678957 18777759 19349239 19456437 19541291 19651489 19774497 20597577 20804069 20943073 21010561 21600397 21814793 22075131 22146267 22294239 22993971 23094253 23147607 23222199 23224487 23455003 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20964016073 21282562587 22097206131 22193577133 22316533239 22540257883 22681348059 23393229951 23625420819 23627748547 23758650201 23862267143 24724712749 24775655359 24855493663 25152119421 25401768249 26114879973 26374084737 26638486589 27327314091 27920951877 28200861169 28357098627 29220115067 29510141023 30020271567 30436352947 30639715799 31105283781 31169372871 32295916653 32616471657 32943453829 33977424481 34532863261 34724181063 34875621209 35970235301 36210573217 36327259969 36411185811 36760789923 37125661287 38167901499 38290895643 38546739231 38933172707 40553700187 41037668529 41216643247 41444990301 42932216327 43031401413 43444569909 43875781521 45555237273 46011931381 47201724339 48148124827 48980443083 49659312703 50750726169 50855292579 51853196343 52923145471 53216348493 55436850469 55783856037 56337541953 56524655473 56902329341 58688278649 59270792581 59978130927 60573447363 62474619207 62892048219 66166563463 66580731399 67248207403 67464911371 67620773649 70047300323 70883245641 71586801429 72578995489 74174138247 74326966077 74566480989 79915459767 81023089147 83164942883 84602583507 85775176487 86626543003 87660345201 88530423069 91309058841 91919147397 92224437877 95754559901 96704977369 98285841589 98830361487 101370663121 101932273443 102376823549 103598589783 104626863627 107910705903 108631719651 108981779907 110074329079 114287700527 116799518121 118418361061 120990791467 121661100561 123649929741 128796648981 134789563051 138035794143 139948972163 141338043847 144444374481 148977938109 150471451273 157781805181 158769436413 159296756333 160877865577 165394239829 166310551407 167035870001 169573966419 170706988023 173072989243 176064835947 177812377743 179594957971 186469406123 190128386591 197406028183 198499690389 201744622209 202394734113 204540805469 206570987161 210141900969 217736986467 219919813399 230604176803 241730042827 243069267441 244129348463 249494828649 257325529461 259879629009 259905234017 262484938573 272532208949 276673313631 287263679703 288516502729 290114932107 293023352479 294857524767 304111989363 307130470647 310209472859 321421265737 322083519667 330222987237 337036873789 342863101581 355255083183 362972374401 379861495871 383631833299 395672588311 398316305387 404368689153 419846916489 424014131541 428264899777 448927222393 451414353819 453383075717 470737451821 472254379597 473345415543 477890268999 482633596731 496182719487 501107610003 506131245191 519218967729 535816362211 538784873913 559408218369 570385159773 582154600181 592218084549 613622416407 619712961483 625925622751 645571065139 659759440197 688000891123 691812530409 725190128481 732388045389 739730281433 770520303553 779715702051 787454815719 817596626847 865549508187 874226696239 879070057437 914814371713 930628418577 943526941357 964263797211 966250559001 1011110621367 1053300158911 1081144257479 1115077294331 1126145059039 1139584487613 1150895499897 1187017764933 1194948916161 1257164705797 1277715940657 1284794699331 1330898706137 1346781667179 1360149227151 1412212355463 1416763138791 1518393735573 1539438693793 1607449086633 1746463800543 1752264319663 1819336638119 1837394570011 1877776868253 1936713195417 2051163467353 2064002673369 2091412252501 2171466310013 2219190844299 2249948860159 2311560910659 2622680088717 2659030471097 2685422833093 2744443115139 2830580824071 2858957574187 2997854298439 3142490556751 3159900476733 3173681530019 3243432772437 3345231882993 3378435177117 3412304201449 3542918716337 3750714535477 3771494117391 3833147821971 3992696118411 4178476454581 4381479359257 4618316081379 4938199446323 4987213832887 5178111970031 5256792958989 5458009914357 5512183710033 5567443697101 5893979984321 6119586873673 6153490402059 6274236757503 6403700601991 6514398930039 6749846580477 7568009802353 7977091413291 8056268499279 8137033095763 8576872722561 8944011584599 8993562895317 9427471670253 9521044590057 9616493658629 10236912604347 10628756149011 11252143606431 11892586832269 12265850237641 12535429363743 13144438077771 14054875347227 14639885767507 14814598338969 14961641498661 15534335910093 16610307228541 16702331091303 17681939952963 18358760621019 19211101805973 20012703019309 22704029407059 23886129410143 24411099287289 26832034753797 28849480975887 29249335182067 34567396124261 34910496830209 35677760496807 36797550712923 38972105879707 41257859890247 42164626041681 43919657302521 49830921685623 54320193909553 56959231670341 60038109057927 64833779827531 67315455610403 71658388230429 83248107825883 87748005546201 98384127430589 103702188372783 104731490490627 105781430244919 116272150599787 116916317639121 123773579670741 154603628819497 162960581728659 170877695011023 182713379513951 194501339482593 201946366831209 249744323477649 295152382291767 317344290734757 348816451799361 380241357366871 453836458792717 463810886458491 548140138541853 740470011714433 1082225401736479 1140724072100613 1278993656597657 1361509376378151 2009847174653461 2221410035143299 3246676205209437 3836980969792971 6029541523960383 14068930222574227 42206790667722681
- Sum of all divisors σ(n): 85787851138662400
- Sum of proper divisors (its aliquot sum) s(n): 43581060470939719
- 42206790667722681 is an abundant number, because the sum of its proper divisors (43581060470939719) is greater than itself. Its abundance is 1374269803217038
Bases of 42206790667722681
- Binary: 100101011111001011011010001111001101101111011111101110012
- Hexadecimal: 0x95F2DA3CDBDFB9
- Base-36: BJL23YGIQPL
Squares and roots of 42206790667722681
- 42206790667722681 squared (422067906677226812) is 1781413178468962396261558721827761
- 42206790667722681 cubed (422067906677226813) is 75187733116362000872935440564805091674955795147241
-
The
square root of 42206790667722681 is 205442913.4035113925 -
The
cube root of 42206790667722681 is 348172.2147898563
Scales and comparisons
How big is 42206790667722681?- 42,206,790,667,722,681 seconds is equal to 1,342,045,389 years, 3 weeks, 3 hours, 51 minutes, 21 seconds.
-
To count from 1 to 42,206,790,667,722,681 would take you about four billion, twenty-six million, one hundred thirty-six thousand, one hundred sixty-seven 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 42206790667722681 cubic inches would be around 29014.4 feet tall.
Recreational maths with 42206790667722681
- 42206790667722681 backwards is 18622776609760224
- The number of decimal digits it has is: 17
- The sum of 42206790667722681's digits is 75
- More coming soon!
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"Number 42206790667722681 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 42206790667722681 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/42206790667722681/
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The information we have on file for 42206790667722681 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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