42200308200127329144
42,200,308,200,127,329,144 is an even composite number composed of five prime numbers multiplied together.
What does the number 42200308200127329144 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1344 divisors.
42200308200127329144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 42200308200127329144:
23 × 36 × 313 × 892 × 3133
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 31 × 31 × 31 × 89 × 89 × 313 × 313 × 313)See below for interesting mathematical facts about the number 42200308200127329144 from the Numbermatics database.
Names of 42200308200127329144
- Cardinal: 42200308200127329144 can be written as Forty-two quintillion, two hundred quadrillion, three hundred eight trillion, two hundred billion, one hundred twenty-seven million, three hundred twenty-nine thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.2200308200127329144 × 1019
Factors of 42200308200127329144
Divisors of 42200308200127329144
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 89 93 108 124 162 178 186 216 243 248 267 279 313 324 356 372 486 534 558 626 648 712 729 744 801 837 939 961 972 1068 1116 1252 1458 1602 1674 1878 1922 1944 2136 2232 2403 2504 2511 2759 2817 2883 2916 3204 3348 3756 3844 4806 5022 5518 5634 5766 5832 6408 6696 7209 7512 7533 7688 7921 8277 8451 8649 9612 9703 10044 11036 11268 11532 14418 15066 15842 16554 16902 17298 19224 19406 20088 21627 22072 22536 22599 23064 23763 24831 25353 25947 27857 28836 29109 29791 30132 31684 33108 33804 34596 38812 43254 45198 47526 49662 50706 51894 55714 57672 58218 59582 60264 63368 64881 66216 67608 69192 71289 74493 76059 77624 77841 83571 85529 86508 87327 89373 90396 95052 97969 99324 101412 103788 111428 116436 119164 129762 142578 148986 152118 155682 167142 171058 173016 174654 178746 180792 190104 195938 198648 202824 207576 213867 222856 223479 228177 232872 233523 238328 245551 250713 256587 259524 261981 268119 285156 293907 297972 300793 304236 311364 334284 342116 349308 357492 391876 427734 446958 456354 467046 491102 501426 513174 519048 523962 536238 570312 587814 595944 601586 608472 622728 641601 668568 670437 684232 698616 700569 714984 736653 752139 769761 783752 785943 804357 855468 863567 881721 893916 902379 912708 934092 982204 1002852 1026348 1047924 1072476 1175628 1203172 1283202 1340874 1401138 1473306 1504278 1539522 1571886 1608714 1710936 1727134 1763442 1787832 1804758 1825416 1868184 1924803 1964408 2005704 2011311 2052696 2095848 2144952 2209959 2256417 2309283 2351256 2357829 2406344 2413071 2479273 2566404 2590701 2645163 2651399 2681748 2707137 2802276 2946612 3008556 3037039 3079044 3143772 3217428 3454268 3526884 3609516 3849606 4022622 4419918 4512834 4618566 4715658 4826142 4958546 5132808 5181402 5290326 5302798 5363496 5414274 5604552 5774409 5893224 6017112 6074078 6158088 6287544 6434856 6629877 6769251 6908536 6927849 7053768 7073487 7219032 7239213 7437819 7612081 7699212 7772103 7935489 7954197 8045244 8121411 8719241 8839836 9025668 9111117 9237132 9324583 9431316 9652284 9917092 10362804 10580652 10605596 10828548 11548818 12148156 13259754 13538502 13855698 14146974 14478426 14875638 15224162 15398424 15544206 15870978 15908394 16090488 16242822 17438482 17679672 18051336 18222234 18474264 18649166 18862632 19304568 19834184 19889631 20307753 20725608 20783547 21161304 21211192 21657096 21717639 22313457 22836243 23097636 23316309 23806467 23862591 24296312 24364233 26157723 26519508 26770577 27077004 27333351 27711396 27973749 28293948 28956852 29751276 30448324 30664297 31088412 31741956 31816788 32485644 34876964 36444468 37298332 39779262 40615506 41567094 43435278 44626914 45672486 46195272 46632618 47612934 47725182 48728466 52315446 53039016 53541154 54154008 54666702 55422792 55947498 56587896 57913704 59502552 59668893 60896648 61328594 62176824 62350641 63483912 63633576 64971288 66940371 68508729 69753928 69948927 71419401 71587773 72888936 73092699 74596664 76857463 78473169 79558524 80311731 81231012 82000053 83134188 83921247 86870556 89253828 91344972 91992891 93265236 94148209 95225868 95450364 97456932 104630892 107082308 109333404 111894996 119337786 122657188 124701282 133880742 137017458 139897854 142838802 143175546 146185398 153714926 156946338 159117048 160623462 162462024 164000106 166268376 167842494 173741112 178507656 179006679 182689944 183985782 186530472 188296418 190451736 190900728 194913864 200821113 205526187 209261784 209846781 214164616 214763319 218666808 219278097 223789992 230572389 235419507 235974511 238675572 240935193 245314376 246000159 249402564 251763741 267761484 270296471 274034916 275978673 279795708 282444627 285677604 286351092 292370796 307429852 313892676 321246924 328000212 335684988 358013358 367971564 376592836 401642226 411052374 419693562 429526638 438556194 461144778 470839014 471949022 477351144 481870386 492000318 498805128 503527482 535522968 540592942 548069832 551957346 559591416 564889254 571355208 572702184 584741592 602463339 614859704 616578561 627785352 629540343 642493848 644289957 656000424 671369976 691717167 706258521 707923533 716026716 722805579 735943128 738000477 753185672 755291223 776012449 803284452 810889413 822104748 827936019 829887887 839387124 847333881 859053276 877112388 922289556 941678028 943898044 950593207 963740772 984000636 1007054964 1081185884 1103914692 1129778508 1204926678 1233157122 1259080686 1288579914 1383434334 1412517042 1415847066 1432053432 1445611158 1476000954 1510582446 1552024898 1606568904 1621778826 1644209496 1655872038 1659775774 1678774248 1694667762 1718106552 1754224776 1807390017 1844579112 1849735683 1883356056 1887796088 1901186414 1927481544 1932869871 1968001272 2014109928 2075151501 2118775563 2123770599 2162371768 2168416737 2207829384 2214001431 2259557016 2265873669 2328037347 2382581353 2409853356 2432668239 2466314244 2483808057 2489663661 2518161372 2542001643 2577159828 2729122433 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138709121208954 140296842679608 141625079538102 143583882657192 147990251652174 157393948955976 161081560113624 162606572803006 164467834302312 168321180792888 171859647079944 177068192575473 180711571023528 181216755127827 184945494945272 188833439384136 189361328391999 197320335536232 203300517401469 208063681813431 212437619307153 215375823985788 221985377478261 233419112572057 236090923433964 241622340170436 243909859204509 246701751453468 252481771189332 271067356535292 277418242417908 283250159076204 295980503304348 325213145606012 354136385150946 362433510255654 378722656783998 406601034802938 416127363626862 424875238614306 430751647971576 443970754956522 466838225144114 472181846867928 483244680340872 487819718409018 493403502906936 504963542378664 542134713070584 543650265383481 554836484835816 566500318152408 591961006608696 609901552204407 624191045440293 637312857921459 650426291212024 665956132434783 700257337716171 708272770301892 724867020511308 731729577613527 757445313567996 813202069605876 832254727253724 849750477228612 887941509913044 933676450288228 975639436818036 1087300530766962 1219803104408814 1248382090880586 1274625715842918 1331912264869566 1400514675432342 1416545540603784 1449734041022616 1463459155227054 1514890627135992 1626404139211752 1664509454507448 1699500954457224 1775883019826088 1829704656613221 1867352900576456 1872573136320879 1911938573764377 1951278873636072 2100772013148513 2174601061533924 2195188732840581 2439606208817628 2496764181761172 2549251431685836 2663824529739132 2801029350864684 2926918310454108 3659409313226442 3745146272641758 3823877147528754 4201544026297026 4349202123067848 4390377465681162 4879212417635256 4993528363522344 5098502863371672 5327649059478264 5489113969839663 5602058701729368 5617719408962637 5853836620908216 6302316039445539 6585566198521743 7235992489733767 7318818626452884 7490292545283516 7647754295057508 8403088052594052 8780754931362324 10978227939679326 11235438817925274 12604632078891078 13171132397043486 14471984979467534 14637637252905768 14980585090567032 15295508590115016 16806176105188104 16853158226887911 17561509862724648 18906948118336617 19756698595565229 21707977469201301 21956455879358652 22470877635850548 25209264157782156 26342264794086972 28943969958935068 33706316453775822 37813896236673234 39513397191130458 43415954938402602 43912911758717304 44941755271701096 50418528315564312 52684529588173944 56720844355009851 57887939917870136 59270095786695687 65123932407603903 67412632907551644 75627792473346468 79026794382260916 86831909876805204 113441688710019702 118540191573391374 130247864815207806 134825265815103288 151255584946692936 158053588764521832 170162533065029553 173663819753610408 195371797222811709 226883377420039404 237080383146782748 260495729630415612 340325066130059106 390743594445623418 453766754840078808 474160766293565496 520991459260831224 586115391668435127 680650132260118212 781487188891246836 1172230783336870254 1361300264520236424 1562974377782493672 1758346175005305381 2344461566673740508 3516692350010610762 4688923133347481016 5275038525015916143 7033384700021221524 10550077050031832286 14066769400042443048 21100154100063664572 42200308200127329144
- Sum of all divisors σ(n): 124378684519010438400
- Sum of proper divisors (its aliquot sum) s(n): 82178376318883109256
- 42200308200127329144 is an abundant number, because the sum of its proper divisors (82178376318883109256) is greater than itself. Its abundance is 39978068118755780112
Bases of 42200308200127329144
- Binary: 1001001001101001011001110010111000101000001001011111110011011110002
- Hexadecimal: 0x249A59CB8A097F378
- Base-36: 8WM94RKOUOVI0
Squares and roots of 42200308200127329144
- 42200308200127329144 squared (422003082001273291442) is 1780866012185733898239300574310911772736
- 42200308200127329144 cubed (422003082001273291443) is 75153094577369682293796224654632072681753274021081997417984
-
The
square root of 42200308200127329144 is 6496176429.2641659397 -
The
cube root of 42200308200127329144 is 3481543.8882216649
Scales and comparisons
How big is 42200308200127329144?- 42,200,308,200,127,329,144 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,200,308,200,127,329,144 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 42200308200127329144 cubic inches would be around 290128.7 feet tall.
Recreational maths with 42200308200127329144
- 42200308200127329144 backwards is 44192372100280300224
- 42200308200127329144 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 42200308200127329144's digits is 54
- More coming soon!
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"Number 42200308200127329144 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 42200308200127329144 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/42200308200127329144/
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Numbermatics. 2024. "Number 42200308200127329144 - Facts about the integer". https://numbermatics.com/n/42200308200127329144/
The information we have on file for 42200308200127329144 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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