42688398752064
42,688,398,752,064 is an even composite number composed of six prime numbers multiplied together.
What does the number 42688398752064 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1512 divisors.
42688398752064 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 42688398752064:
26 × 35 × 132 × 19 × 53 × 1272
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 19 × 53 × 127 × 127)See below for interesting mathematical facts about the number 42688398752064 from the Numbermatics database.
Names of 42688398752064
- Cardinal: 42688398752064 can be written as Forty-two trillion, six hundred eighty-eight billion, three hundred ninety-eight million, seven hundred fifty-two thousand and sixty-four.
Scientific notation
- Scientific notation: 4.2688398752064 × 1013
Factors of 42688398752064
Divisors of 42688398752064
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 38 39 48 52 53 54 57 64 72 76 78 81 96 104 106 108 114 117 127 144 152 156 159 162 169 171 192 208 212 216 228 234 243 247 254 288 304 312 318 324 338 342 351 381 416 424 432 456 468 477 486 494 507 508 513 576 608 624 636 648 676 684 689 702 741 762 832 848 864 912 936 954 972 988 1007 1014 1016 1026 1053 1143 1216 1248 1272 1296 1352 1368 1378 1404 1431 1482 1521 1524 1539 1651 1696 1728 1824 1872 1908 1944 1976 2014 2028 2032 2052 2067 2106 2223 2286 2413 2496 2544 2592 2704 2736 2756 2808 2862 2964 3021 3042 3048 3078 3159 3211 3302 3392 3429 3648 3744 3816 3888 3952 4028 4056 4064 4104 4134 4212 4293 4446 4563 4572 4617 4826 4953 5088 5184 5408 5472 5512 5616 5724 5928 6042 6084 6096 6156 6201 6318 6422 6604 6669 6731 6858 7239 7488 7632 7776 7904 8056 8112 8128 8208 8268 8424 8586 8892 8957 9063 9126 9144 9234 9633 9652 9906 10176 10287 10816 10944 11024 11232 11448 11856 12084 12168 12192 12312 12402 12636 12844 12879 13091 13208 13338 13462 13689 13716 14478 14859 15264 15552 15808 16112 16129 16224 16416 16536 16848 17172 17784 17914 18126 18252 18288 18468 18603 19266 19304 19812 20007 20193 20574 21463 21717 22048 22464 22896 23712 24168 24336 24384 24624 24804 25272 25688 25758 26182 26416 26676 26871 26924 27189 27378 27432 28899 28956 29718 30528 30861 31369 32224 32258 32448 32832 33072 33696 34344 35568 35828 36252 36504 36576 36936 37206 38532 38608 39273 39624 40014 40386 41067 41148 42926 43434 44096 44577 45792 47424 48336 48387 48672 49248 49608 50544 51376 51516 52364 52832 53352 53742 53848 54378 54756 54864 55809 57798 57912 59436 60021 60579 61722 62738 64389 64448 64516 65151 66144 67392 68688 71136 71656 72504 73008 73152 73872 74412 77064 77216 78546 79248 80028 80613 80772 81567 82134 82296 85852 86697 86868 87503 89154 91584 94107 96672 96774 97344 98496 99216 101088 102752 103032 104728 105664 106704 107484 107696 108756 109512 109728 111618 115596 115824 117819 118872 120042 121158 123444 125476 127889 128778 129032 130302 132288 133731 137376 142272 143312 145008 145161 146016 147744 148824 154128 154432 157092 158496 160056 161226 161544 163134 164268 164592 167427 170183 171704 173394 173736 175006 178308 181737 188214 193167 193344 193548 195453 198432 202176 205504 206064 209456 209677 213408 214968 215392 217512 219024 219456 223236 231192 231648 235638 237744 240084 241839 242316 244701 246888 250952 255778 257556 258064 260091 260604 262509 267462 274752 282321 286624 290016 290322 292032 295488 297648 306451 308256 314184 316992 320112 322452 323088 326268 328536 329184 334854 340366 343408 346788 347472 350012 353457 356616 363474 376428 383667 386334 387096 390906 396864 401193 407797 412128 418912 419354 426816 429936 430784 435024 435483 438048 446472 462384 463296 471276 475488 480168 483678 484632 489402 493776 501904 510549 511556 515112 516128 520182 521208 525018 534924 545211 564642 573248 579501 580032 580644 586359 595296 612902 616512 628368 629031 640224 644904 646176 652536 657072 658368 669708 680732 686816 693576 694944 700024 706914 713232 725517 726948 752856 767334 772668 774192 780273 781812 787527 802386 815594 824256 837824 838708 846963 854837 859872 870048 870966 876096 892944 919353 924768 942552 950976 960336 967356 969264 978804 987552 1003808 1021098 1023112 1030224 1032256 1040364 1042416 1050036 1060371 1069848 1090422 1129284 1137539 1151001 1159002 1161288 1172718 1190592 1223391 1225804 1256736 1258062 1280448 1289808 1292352 1305072 1306449 1314144 1339416 1361464 1373632 1387152 1389888 1400048 1413828 1426464 1451034 1453896 1505712 1531647 1534668 1545336 1548384 1560546 1563624 1575054 1604772 1631188 1635633 1662557 1677416 1693926 1709674 1719744 1738503 1740096 1741932 1785888 1838706 1849536 1885104 1887093 1920672 1934712 1938528 1957608 1975104 2007616 2042196 2046224 2060448 2080728 2084832 2100072 2120742 2139696 2176551 2180844 2258568 2275078 2302002 2318004 2322576 2345436 2362581 2446782 2451608 2513472 2516124 2540889 2564511 2579616 2610144 2612898 2628288 2678832 2722928 2725801 2758059 2774304 2800096 2827656 2852928 2902068 2907792 3011424 3063294 3069336 3090672 3096768 3121092 3127248 3150108 3181113 3209544 3262376 3271266 3325114 3354832 3387852 3412617 3419348 3453003 3477006 3483864 3571776 3670173 3677412 3770208 3774186 3841344 3869424 3877056 3915216 3919347 3983863 4084392 4092448 4120896 4161456 4169664 4200144 4241484 4279392 4353102 4361688 4517136 4550156 4594941 4604004 4636008 4645152 4690872 4725162 4893564 4903216 4987671 5032248 5081778 5129022 5159232 5215509 5220288 5225796 5357664 5445856 5451602 5516118 5548608 5600192 5655312 5661279 5804136 5815584 6022848 6126588 6138672 6181344 6242184 6254496 6300216 6362226 6419088 6524752 6542532 6650228 6709664 6775704 6825234 6838696 6906006 6954012 6967728 7087743 7340346 7354824 7540416 7548372 7622667 7693533 7738848 7830432 7838694 7967726 8168784 8177403 8184896 8274177 8322912 8400288 8482968 8558784 8706204 8723376 9034272 9100312 9189882 9208008 9272016 9290304 9381744 9450324 9787128 9806432 9975342 10064496 10163556 10237851 10258044 10359009 10431018 10451592 10715328 10891712 10903204 11010519 11032236 11112881 11310624 11322558 11608272 11631168 11951589 12253176 12277344 12362688 12484368 12508992 12600432 12724452 12838176 13049504 13085064 13300456 13419328 13551408 13650468 13677392 13784823 13812012 13908024 13935456 14175486 14680692 14709648 14963013 15096744 15245334 15387066 15477696 15660864 15677388 15935452 16241903 16337568 16354806 16548354 16645824 16800576 16965936 16983837 17412408 17446752 18068544 18200624 18379764 18416016 18544032 18763488 18900648 19574256 19612864 19950684 20128992 20327112 20475702 20516088 20718018 20862036 20903184 21263229 21613241 21806408 22021038 22064472 22225762 22621248 22645116 23080599 23216544 23903178 24506352 24532209 24554688 24822531 24968736 25200864 25448904 25676352 26099008 26170128 26600912 27102816 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87225632 88084152 88257888 88903048 89778078 90580464 92140659 92322396 95612712 97451418 98025408 98128836 99094671 99290124 100015929 101795616 101903022 103580438 104680512 106403648 107564301 109203744 110278584 110496096 111264192 113403888 117445536 119704104 120773952 121962672 122854212 123096528 124308108 125419104 127483616 129679446 129935224 130838448 132126228 132386832 133354572 134667117 135870696 138483594 139299264 143419068 144467453 146177127 147038112 147193254 148935186 151205184 155370657 159605472 162616896 163805616 164128704 165417876 165744144 166896288 170105832 172905928 174451264 176168304 176515776 177806096 179556156 181160928 184281318 184644792 191225424 194519169 194902836 196257672 198189342 198580248 200031858 203591232 203806044 207160876 207725391 211144739 215128602 218407488 220557168 220789881 220992192 226807776 234891072 239408208 243925344 245708424 246193056 248616216 250838208 254967232 259358892 259870448 261676896 264252456 264773664 266709144 269334234 271741392 276421977 276967188 286838136 288934906 292354254 294076224 294386508 297870372 300047787 310741314 319210944 322692903 327611232 330835752 331488288 333792576 340211664 345811856 352336608 355612192 359112312 362321856 368562636 369289584 382450848 389038338 389805672 392515344 396378684 397160496 400063716 404001351 407612088 414321752 415450782 422289478 430257204 433402359 438531381 441114336 441579762 453615552 466111971 478816416 487850688 491416848 492386112 497232432 518717784 519740896 523353792 528504912 529547328 533418288 538668468 543482784 552843954 553934376 573676272 577869812 583557507 584708508 588773016 595740744 600095574 621482628 633434217 645385806 655222464 661671504 662369643 662976576 680423328 691623712 704673216 711224384 718224624 737125272 738579168 764901696 778076676 779611344 785030688 792757368 794320992 800127432 808002702 815224176 828643504 830901564 844578956 860514408 866804718 877062762 882228672 883159524 900143361 932223942 957632832 968078709 982833696 994464864 1037435568 1039481792 1057009824 1066836576 1077336936 1086965568 1105687908 1107868752 1147352544 1155739624 1167115014 1169417016 1177546032 1191481488 1200191148 1242965256 1266868434 1290771612 1300207077 1315594143 1323343008 1324739286 1360846656 1383247424 1398335913 1436449248 1474250544 1477158336 1556153352 1559222688 1570061376 1585514736 1588641984 1600254864 1616005404 1630448352 1657287008 1661803128 1689157912 1721028816 1733609436 1750672521 1754125524 1766319048 1800286722 1864447884 1900302651 1936157418 1965667392 1988929728 2074871136 2114019648 2133673152 2154673872 2211375816 2215737504 2294705088 2311479248 2334230028 2338834032 2355092064 2382962976 2400382296 2485930512 2533736868 2581543224 2600414154 2631188286 2646686016 2649478572 2700430083 2744881607 2796671826 2872898496 2948501088 3112306704 3118445376 3171029472 3200509728 3232010808 3260896704 3314574016 3323606256 3378315824 3442057632 3467218872 3501345042 3508251048 3532638096 3600573444 3728895768 3800605302 3872314836 3900621231 3946782429 4149742272 4195007739 4309347744 4422751632 4431475008 4622958496 4668460056 4677668064 4710184128 4765925952 4800764592 4971861024 5067473736 5163086448 5200828308 5252017563 5262376572 5298957144 5400860166 5489763214 5593343652 5700907953 5897002176 6224613408 6342058944 6401019456 6464021616 6647212512 6756631648 6884115264 6934437744 7002690084 7016502096 7065276192 7201146888 7457791536 7601210604 7744629672 7801242462 7893564858 8234644821 8390015478 8618695488 8845503264 9245916992 9336920112 9355336128 9601529184 9943722048 10134947472 10326172896 10401656616 10504035126 10524753144 10597914288 10801720332 10979526428 11186687304 11401815906 11701863693 12449226816 12585023217 12928043232 13294425024 13513263296 13868875488 14005380168 14033004192 14130552384 14402293776 14915583072 15202421208 15489259344 15602484924 15787129716 16469289642 16780030956 17102723859 17691006528 18673840224 19203058368 20269894944 20652345792 20803313232 21008070252 21049506288 21195828576 21603440664 21959052856 22373374608 22803631812 23403727386 24703934463 25170046434 25856086464 27737750976 28010760336 28066008384 28804587552 29831166144 30404842416 30978518688 31204969848 31574259432 32938579284 33560061912 34205447718 35105591079 37347680448 40539789888 41606626464 42016140504 42099012576 42391657152 43206881328 43918105712 44746749216 45607263624 46807454772 49407868926 50340092868 51308171577 56021520672 57609175104 60809684832 61957037376 62409939696 63148518864 65877158568 67120123824 68410895436 70211182158 74111803389 83213252928 84032281008 84198025152 86413762656 87836211424 89493498432 91214527248 93614909544 98815737852 100680185736 102616343154 112043041344 121619369664 124819879392 126297037728 131754317136 134240247648 136821790872 140422364316 148223606778 168064562016 172827525312 175672422848 182429054496 187229819088 197631475704 201360371472 205232686308 222335410167 249639758784 252594075456 263508634272 268480495296 273643581744 280844728632 296447213556 336129124032 364858108992 374459638176 395262951408 402720742944 410465372616 444670820334 527017268544 547287163488 561689457264 592894427112 667006230501 748919276352 790525902816 805441485888 820930745232 889341640668 1094574326976 1123378914528 1185788854224 1334012461002 1581051805632 1641861490464 1778683281336 2246757829056 2371577708448 2668024922004 3283722980928 3557366562672 4743155416896 5336049844008 7114733125344 10672099688016 14229466250688 21344199376032 42688398752064
- Sum of all divisors σ(n): 148532111713440
- Sum of proper divisors (its aliquot sum) s(n): 105843712961376
- 42688398752064 is an abundant number, because the sum of its proper divisors (105843712961376) is greater than itself. Its abundance is 63155314209312
Bases of 42688398752064
- Binary: 10011011010011001010101101011111111001010000002
- Hexadecimal: 0x26D32AD7F940
- Base-36: F4QS2FO00
Squares and roots of 42688398752064
- 42688398752064 squared (426883987520642) is 1822299388015219272544260096
- 42688398752064 cubed (426883987520643) is 77791042921235877311917714580292632838144
-
The
square root of 42688398752064 is 6533635.9519079421 -
The
cube root of 42688398752064 is 34949.1503091113
Scales and comparisons
How big is 42688398752064?- 42,688,398,752,064 seconds is equal to 1,357,359 years, 1 week, 6 days, 6 hours, 14 minutes, 24 seconds.
-
To count from 1 to 42,688,398,752,064 would take you about three million, three hundred ninety-three thousand, three hundred ninety-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 42688398752064 cubic inches would be around 2912.4 feet tall.
Recreational maths with 42688398752064
- 42688398752064 backwards is 46025789388624
- 42688398752064 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42688398752064's digits is 72
- More coming soon!
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"Number 42688398752064 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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The information we have on file for 42688398752064 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 42688398752064, math, Factors of 42688398752064, curriculum, school, college, exams, university, Prime factorization of 42688398752064, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, six hundred eighty-eight billion, three hundred ninety-eight million, seven hundred fifty-two thousand and sixty-four.