122428142419968
122,428,142,419,968 is an even composite number composed of six prime numbers multiplied together.
122428142419968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 122428142419968:
215 × 33 × 7 × 11 × 972 × 191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 97 × 97 × 191)See below for interesting mathematical facts about the number 122428142419968 from the Numbermatics database.
Names of 122428142419968
- Cardinal: 122428142419968 can be written as One hundred twenty-two trillion, four hundred twenty-eight billion, one hundred forty-two million, four hundred nineteen thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.22428142419968 × 1014
Factors of 122428142419968
Divisors of 122428142419968
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 54 56 63 64 66 72 77 84 88 96 97 99 108 112 126 128 132 144 154 168 176 189 191 192 194 198 216 224 231 252 256 264 288 291 297 308 336 352 378 382 384 388 396 432 448 462 504 512 528 573 576 582 594 616 672 679 693 704 756 764 768 776 792 864 873 896 924 1008 1024 1056 1067 1146 1152 1164 1188 1232 1337 1344 1358 1386 1408 1512 1528 1536 1552 1584 1719 1728 1746 1792 1848 2016 2037 2048 2079 2101 2112 2134 2292 2304 2328 2376 2464 2619 2674 2688 2716 2772 2816 3024 3056 3072 3104 3168 3201 3438 3456 3492 3584 3696 4011 4032 4074 4096 4158 4202 4224 4268 4584 4608 4656 4752 4928 5157 5238 5348 5376 5432 5544 5632 6048 6111 6112 6144 6208 6303 6336 6402 6876 6912 6984 7168 7392 7469 8022 8064 8148 8192 8316 8404 8448 8536 9168 9216 9312 9409 9504 9603 9856 10314 10476 10696 10752 10864 11088 11264 12033 12096 12222 12224 12288 12416 12606 12672 12804 13752 13824 13968 14336 14707 14784 14938 16044 16128 16296 16384 16632 16808 16896 17072 18333 18336 18432 18527 18624 18818 18909 19008 19206 19712 20628 20952 21392 21504 21728 22176 22407 22528 24066 24192 24444 24448 24576 24832 25212 25344 25608 27504 27648 27936 28227 28672 28809 29414 29568 29876 32088 32256 32592 32768 33264 33616 33792 34144 36099 36666 36672 36864 37054 37248 37636 37818 38016 38412 39424 41256 41904 42784 43008 43456 44121 44352 44814 45056 48132 48384 48888 48896 49152 49664 50424 50688 51216 55008 55296 55581 55872 56454 56727 57344 57618 58828 59136 59752 64176 64512 65184 65863 66528 67221 67232 67584 68288 72198 73332 73344 73728 74108 74496 75272 75636 76032 76824 78848 82512 83808 84681 85568 86016 86912 88242 88704 89628 90112 96264 96768 97776 97792 98304 99328 100848 101376 102432 103499 110016 110592 111162 111744 112908 113454 114688 115236 117656 118272 119504 128352 129024 129689 130368 131726 132363 133056 134442 134464 135168 136576 144396 146664 146688 147456 148216 148992 150544 151272 152064 153648 157696 165024 166743 167616 169362 171136 172032 173824 176484 177408 179256 180224 192528 193536 195552 195584 197589 198656 201663 201696 202752 203797 204864 206998 220032 221184 222324 223488 225816 226908 229376 230472 235312 236544 239008 254043 256704 258048 259378 260736 263452 264726 266112 268884 268928 270336 273152 288792 293328 293376 294912 296432 297984 301088 302544 304128 307296 310497 315392 330048 333486 335232 338724 342272 344064 347648 352968 354816 358512 360448 385056 387072 389067 391104 391168 395178 397089 397312 403326 403392 405504 407594 409728 413996 440064 442368 444648 446976 451632 453816 460944 470624 473088 478016 500229 508086 513408 516096 518756 521472 526904 529452 532224 537768 537856 540672 546304 577584 586656 586752 592767 592864 595968 602176 605088 608256 611391 614592 620994 630784 660096 666972 670464 677448 684544 688128 695296 705936 709632 717024 724493 770112 774144 778134 782208 782336 790356 794178 794624 806652 806784 811008 815188 819456 827992 880128 884736 889296 893952 903264 907632 921888 931491 941248 946176 956032 1000458 1016172 1026816 1032192 1037512 1042944 1053808 1058904 1064448 1075536 1075712 1081344 1092608 1155168 1167201 1173312 1173504 1185534 1185728 1191936 1204352 1210176 1216512 1222782 1229184 1241988 1261568 1320192 1333944 1340928 1354896 1369088 1390592 1411872 1419264 1426579 1434048 1448986 1540224 1548288 1556268 1564416 1564672 1580712 1588356 1589248 1613304 1613568 1622016 1630376 1638912 1655984 1760256 1778301 1778592 1787904 1797119 1806528 1815264 1834173 1843776 1862982 1882496 1892352 1912064 2000916 2032344 2053632 2064384 2075024 2085888 2107616 2117808 2128896 2151072 2151424 2173479 2185216 2310336 2334402 2346624 2347008 2371068 2371456 2383872 2408704 2420352 2433024 2445564 2458368 2483976 2523136 2640384 2667888 2681856 2709792 2738176 2781184 2794473 2823744 2838528 2853158 2868096 2897972 3080448 3096576 3112536 3128832 3129344 3161424 3176712 3178496 3226608 3227136 3244032 3260752 3277824 3311968 3501603 3520512 3556602 3557184 3575808 3594238 3613056 3630528 3668346 3687552 3725964 3764992 3784704 3824128 4001832 4064688 4107264 4150048 4171776 4215232 4235616 4257792 4279737 4302144 4302848 4346958 4370432 4620672 4668804 4693248 4694016 4742136 4742912 4767744 4817408 4840704 4866048 4891128 4916736 4967952 5280768 5335776 5363712 5391357 5419584 5476352 5502519 5562368 5588946 5647488 5677056 5706316 5736192 5795944 6160896 6193152 6225072 6257664 6258688 6322848 6353424 6453216 6454272 6520437 6521504 6555648 6623936 7003206 7041024 7113204 7114368 7151616 7188476 7226112 7261056 7336692 7375104 7451928 7529984 7569408 7648256 8003664 8129376 8214528 8300096 8343552 8430464 8471232 8515584 8559474 8604288 8605696 8693916 8740864 9241344 9337608 9386496 9388032 9484272 9485824 9535488 9634816 9681408 9732096 9782256 9833472 9935904 10561536 10671552 10727424 10782714 10839168 10952704 11005038 11124736 11177892 11294976 11354112 11412632 11472384 11591888 12321792 12450144 12515328 12579833 12645696 12706848 12839211 12906432 12908544 13040874 13043008 13111296 13247872 14006412 14082048 14226408 14228736 14303232 14376952 14452224 14522112 14673384 14750208 14903856 15059968 15296512 16007328 16174071 16258752 16429056 16600192 16687104 16860928 16942464 17031168 17118948 17208576 17211392 17387832 17481728 18482688 18675216 18772992 18776064 18968544 18971648 19269632 19362816 19561311 19564512 19666944 19768309 19871808 21123072 21343104 21454848 21565428 21678336 21905408 22010076 22249472 22355784 22589952 22708224 22825264 22944768 23183776 24643584 24900288 25030656 25159666 25291392 25413696 25678422 25812864 25817088 26081748 26086016 26222592 26495744 28012824 28164096 28452816 28457472 28606464 28753904 28904448 29044224 29346768 29500416 29807712 30119936 30593024 32014656 32348142 32517504 32858112 33200384 33374208 33721856 33884928 34062336 34237896 34417152 34422784 34775664 34963456 36965376 37350432 37545984 37739499 37937088 37943296 38517633 38539264 38725632 39122622 39129024 39333888 39536618 39743616 42246144 42686208 42909696 43130856 43356672 43810816 44020152 44711568 45179904 45650528 45889536 46367552 48522213 49287168 49800576 50061312 50319332 50582784 50827392 51356844 51625728 51634176 52163496 52172032 52445184 52991488 56025648 56328192 56905632 56914944 57507808 57808896 58088448 58693536 59000832 59304927 59615424 60239872 61186048 64029312 64696284 65035008 65716224 66400768 66748416 67443712 67769856 68124672 68475792 68834304 68845568 69551328 73930752 74700864 75091968 75478998 75874176 75886592 77035266 77078528 77451264 78245244 78258048 78667776 79073236 79487232 84492288 85372416 85819392 86261712 86713344 88040304 89423136 90359808 91301056 91779072 92735104 97044426 98574336 99601152 100122624 100638664 101165568 101654784 102713688 103251456 103268352 104326992 104344064 104890368 105982976 112051296 113218497 113811264 113829888 115015616 115617792 116176896 117387072 118001664 118609854 119230848 120479744 122372096 128058624 129392568 130070016 131432448 132801536 134887424 135539712 136951584 137668608 138378163 139102656 147861504 149401728 150183936 150957996 151748352 151773184 154070532 154157056 154902528 156490488 156516096 157335552 158146472 158974464 168984576 170744832 172523424 173426688 176080608 177914781 178846272 180719616 182602112 183558144 185470208 194088852 197148672 199202304 200245248 201277328 202331136 203309568 205427376 206502912 206536704 208653984 208688128 211965952 224102592 226436994 227622528 227659776 230031232 231235584 232353792 234774144 236003328 237219708 238461696 240959488 244744192 256117248 258785136 260140032 265603072 269774848 271079424 273903168 275337216 276756326 278205312 295723008 298803456 300367872 301915992 303496704 303546368 308141064 308314112 309805056 312980976 313032192 314671104 316292944 317948928 339655491 341489664 345046848 346853376 352161216 355829562 357692544 361439232 365204224 367116288 370940416 388177704 394297344 398404608 402554656 404662272 406619136 410854752 413005824 415134489 417307968 417376256 423931904 448205184 452873988 455245056 455319552 460062464 462471168 464707584 469548288 472006656 474439416 476923392 481918976 512234496 517570272 520280064 531206144 533744343 539549696 542158848 547806336 550674432 553512652 556410624 591446016 597606912 600735744 603831984 606993408 607092736 616282128 619610112 625961952 626064384 632585888 635897856 679310982 682979328 690093696 693706752 704322432 711659124 715385088 722878464 730408448 734232576 741880832 776355408 796809216 805109312 809324544 813238272 821709504 826011648 830268978 834615936 834752512 847863808 896410368 905747976 910490112 910639104 920124928 924942336 929415168 939096576 944013312 948878832 953846784 1024468992 1035140544 1040560128 1062412288 1067488686 1079099392 1084317696 1095612672 1101348864 1107025304 1112821248 1182892032 1195213824 1207663968 1213986816 1232564256 1245403467 1251923904 1252128768 1265171776 1271795712 1358621964 1365958656 1380187392 1387413504 1408644864 1423318248 1430770176 1445756928 1460816896 1483761664 1552710816 1593618432 1610218624 1618649088 1626476544 1643419008 1652023296 1660537956 1669231872 1669505024 1695727616 1792820736 1811495952 1820980224 1821278208 1840249856 1858830336 1878193152 1897757664 1907693568 2048937984 2070281088 2081120256 2124824576 2134977372 2158198784 2168635392 2191225344 2202697728 2214050608 2225642496 2390427648 2415327936 2427973632 2465128512 2490806934 2503847808 2504257536 2530343552 2543591424 2717243928 2731917312 2760374784 2774827008 2817289728 2846636496 2861540352 2921633792 2967523328 3105421632 3187236864 3220437248 3237298176 3252953088 3286838016 3304046592 3321075912 3338463744 3339010048 3391455232 3585641472 3622991904 3641960448 3680499712 3736210401 3756386304 3795515328 3815387136 4097875968 4140562176 4162240512 4249649152 4269954744 4337270784 4382450688 4428101216 4451284992 4780855296 4830655872 4855947264 4930257024 4981613868 5007695616 5008515072 5060687104 5087182848 5434487856 5463834624 5520749568 5634579456 5693272992 5723080704 5843267584 5935046656 6210843264 6374473728 6440874496 6474596352 6505906176 6573676032 6608093184 6642151824 6676927488 6678020096 7171282944 7245983808 7283920896 7360999424 7472420802 7512772608 7591030656 7630774272 8195751936 8281124352 8324481024 8539909488 8764901376 8856202432 8902569984 9561710592 9661311744 9711894528 9860514048 9963227736 10015391232 10017030144 10121374208 10174365696 10868975712 11041499136 11269158912 11386545984 11446161408 11686535168 11870093312 12421686528 12748947456 12881748992 13011812352 13147352064 13284303648 13353854976 14342565888 14491967616 14567841792 14721998848 14944841604 15025545216 15182061312 15261548544 16391503872 16562248704 17079818976 17529802752 17712404864 17805139968 19123421184 19322623488 19423789056 19721028096 19926455472 20030782464 20034060288 20242748416 21737951424 22082998272 22538317824 22773091968 22892322816 23373070336 23740186624 24843373056 25763497984 26294704128 26568607296 26707709952 28685131776 28983935232 29135683584 29443997696 29889683208 30051090432 30364122624 30523097088 33124497408 34159637952 35059605504 35424809728 35610279936 38246842368 38645246976 39442056192 39852910944 40061564928 40485496832 43475902848 44165996544 45076635648 45546183936 45784645632 46746140672 49686746112 51526995968 52589408256 53137214592 53415419904 57370263552 57967870464 58271367168 58887995392 59779366416 60102180864 60728245248 66248994816 68319275904 70119211008 70849619456 71220559872 77290493952 78884112384 79705821888 80123129856 80970993664 86951805696 88331993088 90153271296 91092367872 91569291264 99373492224 103053991936 105178816512 106274429184 106830839808 114740527104 115935740928 119558732832 121456490496 132497989632 136638551808 140238422016 141699238912 154580987904 157768224768 159411643776 160246259712 161941987328 173903611392 176663986176 180306542592 182184735744 198746984448 206107983872 210357633024 212548858368 213661679616 231871481856 239117465664 242912980992 264995979264 273277103616 283398477824 309161975808 315536449536 318823287552 320492519424 323883974656 347807222784 364369471488 397493968896 412215967744 420715266048 425097716736 463742963712 478234931328 485825961984 529991958528 546554207232 566796955648 618323951616 631072899072 637646575104 640985038848 647767949312 695614445568 728738942976 794987937792 850195433472 927485927424 956469862656 971651923968 1093108414464 1133593911296 1236647903232 1262145798144 1275293150208 1391228891136 1457477885952 1589975875584 1700390866944 1854971854848 1912939725312 1943303847936 2186216828928 2267187822592 2550586300416 2782457782272 2914955771904 3400781733888 3709943709696 3825879450624 4372433657856 4534375645184 5101172600832 5564915564544 5829911543808 6801563467776 7651758901248 8744867315712 10202345201664 11129831129088 13603126935552 15303517802496 17489734631424 20404690403328 30607035604992 40809380806656 61214071209984 122428142419968
- Sum of all divisors σ(n): 459355849113600
- Sum of proper divisors (its aliquot sum) s(n): 336927706693632
- 122428142419968 is an abundant number, because the sum of its proper divisors (336927706693632) is greater than itself. Its abundance is 214499564273664
Bases of 122428142419968
- Binary: 110111101011001000001011111000010000000000000002
- Hexadecimal: 0x6F5905F08000
- Base-36: 17EAPMZUO0
Squares and roots of 122428142419968
- 122428142419968 squared (1224281424199682) is 14988650056403968055285121024
- 122428142419968 cubed (1224281424199683) is 1835032583788486397323772303455439114207232
-
The
square root of 122428142419968 is 11064725.1398291861 -
The
cube root of 122428142419968 is 49654.7065944079
Scales and comparisons
How big is 122428142419968?- 122,428,142,419,968 seconds is equal to 3,892,836 years, 12 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 122,428,142,419,968 would take you about nine million, seven hundred thirty-two thousand and ninety 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 122428142419968 cubic inches would be around 4137.9 feet tall.
Recreational maths with 122428142419968
- 122428142419968 backwards is 869914241824221
- 122428142419968 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 122428142419968's digits is 63
- 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 122428142419968 - Facts about the integer". Numbermatics.com. 2024. Web. 21 September 2024.
APA style:
Numbermatics. (2024). Number 122428142419968 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/122428142419968/
Chicago style:
Numbermatics. 2024. "Number 122428142419968 - Facts about the integer". https://numbermatics.com/n/122428142419968/
The information we have on file for 122428142419968 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 122428142419968, math, Factors of 122428142419968, curriculum, school, college, exams, university, Prime factorization of 122428142419968, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-two trillion, four hundred twenty-eight billion, one hundred forty-two million, four hundred nineteen thousand, nine hundred sixty-eight.