242125519057664
242,125,519,057,664 is an even composite number composed of five prime numbers multiplied together.
What does the number 242125519057664 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 972 divisors.
242125519057664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 242125519057664:
28 × 113 × 192 × 232 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 11 × 19 × 19 × 23 × 23 × 61 × 61)See below for interesting mathematical facts about the number 242125519057664 from the Numbermatics database.
Names of 242125519057664
- Cardinal: 242125519057664 can be written as Two hundred forty-two trillion, one hundred twenty-five billion, five hundred nineteen million, fifty-seven thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 2.42125519057664 × 1014
Factors of 242125519057664
Divisors of 242125519057664
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 8 11 16 19 22 23 32 38 44 46 61 64 76 88 92 121 122 128 152 176 184 209 242 244 253 256 304 352 361 368 418 437 484 488 506 529 608 671 704 722 736 836 874 968 976 1012 1058 1159 1216 1331 1342 1403 1408 1444 1472 1672 1748 1936 1952 2024 2116 2299 2318 2432 2662 2684 2783 2806 2816 2888 2944 3344 3496 3721 3872 3904 3971 4048 4232 4598 4636 4807 4864 5324 5368 5566 5612 5776 5819 5888 6688 6992 7381 7442 7744 7808 7942 8096 8303 8464 9196 9272 9614 10051 10648 10736 11132 11224 11552 11638 12749 13376 13984 14762 14884 15433 15488 15616 15884 16192 16606 16928 18392 18544 19228 20102 21296 21472 22021 22264 22448 23104 23276 25289 25498 26657 26752 27968 29524 29768 30613 30866 30976 31768 32269 32384 33212 33856 36784 37088 38456 40204 40931 42592 42944 43681 44042 44528 44896 46208 46552 50578 50996 52877 53314 53504 55936 59048 59536 61226 61732 63536 64009 64538 64768 66424 67712 70699 73568 74176 76912 80408 81191 81862 85184 85583 85888 87362 88084 89056 89792 91333 92416 93104 101156 101992 105754 106628 110561 111872 118096 119072 122452 123464 127072 128018 129076 132848 135424 140239 141398 147136 148352 153824 160816 162382 163724 169763 170368 171166 171776 174724 176168 178112 179584 182666 186208 190969 202312 203984 211508 213256 221122 236192 238144 242231 244904 246928 254144 256036 258152 265696 280478 282796 293227 294272 296704 307648 321632 324764 327448 339526 340736 342332 349448 352336 354959 356224 359168 365332 372416 381938 404624 407968 423016 426512 442244 450241 472384 476288 480491 484462 489808 493856 506483 508288 512072 516304 531392 560956 565592 581647 586454 588544 613111 615296 643264 649528 654896 679052 684664 698896 704099 704672 709918 712448 730664 744832 763876 777689 809248 815936 846032 853024 884488 900482 941413 944768 952576 960982 968924 979616 987712 1004663 1012966 1016576 1024144 1032608 1062784 1121912 1131184 1163294 1172908 1216171 1226222 1230592 1286528 1299056 1309792 1343281 1358104 1369328 1397792 1408198 1409344 1419836 1461328 1489664 1527752 1542629 1555378 1618496 1626077 1631872 1692064 1706048 1768976 1800964 1867393 1882826 1889536 1921964 1937848 1959232 1968409 1975424 2009326 2025932 2048288 2065216 2100659 2125568 2243824 2262368 2326588 2345816 2432342 2452444 2573056 2598112 2619584 2664541 2686562 2716208 2738656 2795584 2816396 2818688 2839672 2922656 3055504 3085258 3110756 3225497 3236992 3252154 3263744 3384128 3412096 3537952 3601928 3734786 3765652 3843928 3875696 3904549 3918464 3936818 3950848 4018652 4051864 4096576 4130432 4201318 4487648 4524736 4653176 4691632 4864684 4904888 4952651 5196224 5239168 5329082 5373124 5432416 5477312 5571313 5591168 5632792 5637376 5679344 5845312 6111008 6170516 6221512 6450994 6473984 6504308 6744221 6768256 6824192 7075904 7203856 7469572 7531304 7687856 7751392 7809098 7836928 7873636 8037304 8103728 8193152 8260864 8402636 8554579 8975296 9049472 9306352 9383264 9729368 9809776 9905302 10355543 10392448 10478336 10658164 10746248 10864832 10954624 11051293 11142626 11182336 11265584 11358688 11649109 11690624 12222016 12341032 12443024 12901988 13008616 13377881 13488442 13536512 14151808 14407712 14776091 14939144 15062608 15375712 15502784 15618196 15747272 16074608 16207456 16386304 16805272 17109158 17886847 17950592 18098944 18612704 18766528 19458736 19619552 19810604 20711086 20784896 21316328 21492496 21652499 21729664 21909248 22102586 22285252 22531168 22717376 23107249 23298218 23381248 24444032 24682064 24886048 25803976 26017232 26755762 26976884 28303616 28815424 29309951 29552182 29878288 30125216 30751424 30895463 31005568 31236392 31494544 32149216 32414912 33610544 34218316 35480467 35773694 35901184 37225408 37399771 37533056 38917472 39239104 39621208 41422172 42632656 42950039 42984992 43304998 43459328 44205172 44570504 45062336 45434752 46214498 46596436 48888064 49364128 49772096 51607952 52034464 53511524 53953768 57630848 58619902 59104364 59756576 60250432 61284443 61502848 61790926 62011136 62472784 62989088 64298432 64829824 67221088 68436632 70960934 71547388 74186431 74450816 74799542 75066112 77834944 78478208 79242416 82844344 85265312 85900078 85969984 86609996 88410344 89141008 90124672 90869504 92428996 93192872 94100369 98728256 99544192 103215904 104068928 107023048 107907536 113910973 115261696 117239804 118208728 119513152 120500864 122568886 123005696 123581852 124945568 125978176 128140199 128596864 129659648 134442176 136873264 141921868 143094776 148372862 148901632 149599084 155669888 156956416 158484832 162537001 165688688 170530624 171800156 171939968 173219992 176820688 178282016 180249344 184857992 186385744 188200738 196755317 197456512 199088384 206431808 208137856 214046096 215815072 227821946 234479608 236417456 238177489 239026304 241001728 245137772 247163704 249891136 251956352 254179739 256280398 257193728 268884352 273746528 283843736 286189552 296745724 299198168 311339776 316969664 325074002 331377376 339850093 341061248 343600312 343879936 346439984 353641376 356564032 369715984 372771488 376401476 393510634 394913024 411397481 412863616 416275712 428092192 431630144 455643892 468959216 472834912 476354978 478052608 490275544 494327408 499782272 503912704 508359478 512560796 537768704 547493056 567687472 572379104 593491448 598396336 633939328 650148004 662754752 674128873 679700186 682122496 687200624 692879968 707282752 710595649 713128064 739431968 745542976 752802952 787021268 816050741 822794962 825727232 856184384 863260288 911287784 937918432 945669824 952709956 980551088 988654816 999564544 1016718956 1025121592 1094986112 1135374944 1144758208 1186982896 1196792672 1267878656 1300296008 1325509504 1348257746 1359400372 1374401248 1385759936 1409542189 1414565504 1421191298 1426256128 1478863936 1491085952 1505605904 1574042536 1632101482 1645589924 1712368768 1726520576 1787907011 1822575568 1875836864 1891339648 1905419912 1961102176 1977309632 2033437912 2050243184 2164308487 2189972224 2270749888 2289516416 2373965792 2393585344 2600592016 2619952379 2651019008 2696515492 2718800744 2748802496 2771519872 2819084378 2829131008 2842382596 2957727872 2982171904 3011211808 3148085072 3264202964 3291179848 3424737536 3575814022 3645151136 3738351023 3751673728 3782679296 3810839824 3922204352 3954619264 4066875824 4100486368 4328616974 4525372291 4541499776 4579032832 4747931584 4787170688 5201184032 5239904758 5393030984 5437601488 5497604992 5543039744 5638168756 5684765192 5915455744 6022423616 6296170144 6528405928 6582359696 7151628044 7290302272 7476702046 7503347456 7621679648 7816552139 7844408704 7909238528 8133751648 8200972736 8657233948 9050744582 9082999552 9495863168 9574341376 10402368064 10479809516 10786061968 10875202976 10995209984 11276337512 11369530384 12044847232 12592340288 13056811856 13164719392 14303256088 14580604544 14953404092 15243359296 15504964079 15633104278 15688817408 16267503296 16401945472 17314467896 18101489164 18991726336 20804736128 20959619032 21572123936 21750405952 22552675024 22739060768 24089694464 25184680576 26113623712 26329438784 28606512176 29161209088 29906808184 30486718592 31009928158 31266208556 32535006592 32803890944 34628935792 36202978328 41121861253 41609472256 41919238064 43144247872 43500811904 45105350048 45478121536 49779095201 50369361152 52227247424 52658877568 57213024352 59813616368 60973437184 62019856316 62532417112 65070013184 69257871584 72405956656 82243722506 83838476128 85982073529 86288495744 87001623808 90210700096 90956243072 99558190402 104454494848 105317755136 114426048704 119627232736 124039712632 125064834224 138515743168 144811913312 164487445012 167676952256 171964147058 172576991488 180421400192 181912486144 199116380804 208908989696 228852097408 239254465472 248079425264 250129668448 277031486336 289623826624 328974890024 335353904512 343928294116 360842800384 398232761608 457704194816 478508930944 496158850528 500259336896 554062972672 579247653248 657949780048 670707809024 687856588232 796465523216 945802808819 957017861888 992317701056 1000518673792 1158495306496 1315899560096 1375713176464 1592931046432 1891605617638 1984635402112 2001037347584 2631799120192 2751426352928 3185862092864 3783211235276 3969270804224 5263598240384 5502852705856 6371724185728 7566422470552 10527196480768 11005705411712 12743448371456 15132844941104 22011410823424 30265689882208 60531379764416 121062759528832 242125519057664
- Sum of all divisors σ(n): 596277504380376
- Sum of proper divisors (its aliquot sum) s(n): 354151985322712
- 242125519057664 is an abundant number, because the sum of its proper divisors (354151985322712) is greater than itself. Its abundance is 112026466265048
Bases of 242125519057664
- Binary: 1101110000110110001111011000110111110011000000002
- Hexadecimal: 0xDC363D8DF300
- Base-36: 2DTQXEJUGW
Squares and roots of 242125519057664
- 242125519057664 squared (2421255190576642) is 58624766978943212858557136896
- 242125519057664 cubed (2421255190576643) is 14194552134411226047979401788373887765970944
-
The
square root of 242125519057664 is 15560382.9984246853 -
The
cube root of 242125519057664 is 62327.5690112731
Scales and comparisons
How big is 242125519057664?- 242,125,519,057,664 seconds is equal to 7,698,842 years, 29 weeks, 1 day, 19 hours, 7 minutes, 44 seconds.
-
To count from 1 to 242,125,519,057,664 would take you about nineteen million, two hundred forty-seven thousand, one hundred six 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 242125519057664 cubic inches would be around 5194 feet tall.
Recreational maths with 242125519057664
- 242125519057664 backwards is 466750915521242
- The number of decimal digits it has is: 15
- The sum of 242125519057664's digits is 59
- More coming soon!
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The information we have on file for 242125519057664 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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