42426628705353728
42,426,628,705,353,728 is an even composite number composed of four prime numbers multiplied together.
What does the number 42426628705353728 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 800 divisors.
42426628705353728 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred divisors.
Prime factorization of 42426628705353728:
224 × 113 × 193 × 277
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 11 × 19 × 19 × 19 × 277)See below for interesting mathematical facts about the number 42426628705353728 from the Numbermatics database.
Names of 42426628705353728
- Cardinal: 42426628705353728 can be written as Forty-two quadrillion, four hundred twenty-six trillion, six hundred twenty-eight billion, seven hundred five million, three hundred fifty-three thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 4.2426628705353728 × 1016
Factors of 42426628705353728
Divisors of 42426628705353728
- Number of divisors d(n): 800
-
Complete list of divisors:
1 2 4 8 11 16 19 22 32 38 44 64 76 88 121 128 152 176 209 242 256 277 304 352 361 418 484 512 554 608 704 722 836 968 1024 1108 1216 1331 1408 1444 1672 1936 2048 2216 2299 2432 2662 2816 2888 3047 3344 3872 3971 4096 4432 4598 4864 5263 5324 5632 5776 6094 6688 6859 7744 7942 8192 8864 9196 9728 10526 10648 11264 11552 12188 13376 13718 15488 15884 16384 17728 18392 19456 21052 21296 22528 23104 24376 25289 26752 27436 30976 31768 32768 33517 35456 36784 38912 42104 42592 43681 45056 46208 48752 50578 53504 54872 57893 61952 63536 65536 67034 70912 73568 75449 77824 84208 85184 87362 90112 92416 97504 99997 101156 107008 109744 115786 123904 127072 131072 134068 141824 147136 150898 155648 168416 170368 174724 180224 184832 195008 199994 202312 214016 219488 231572 247808 254144 262144 268136 283648 294272 301796 311296 336832 340736 349448 360448 368687 369664 390016 399988 404624 428032 438976 463144 480491 495616 508288 524288 536272 567296 588544 603592 622592 636823 673664 681472 698896 720896 737374 739328 780032 799976 809248 829939 856064 877952 926288 960982 991232 1016576 1048576 1072544 1099967 1134592 1177088 1207184 1245184 1273646 1347328 1362944 1397792 1441792 1474748 1478656 1560064 1599952 1618496 1659878 1712128 1755904 1852576 1899943 1921964 1982464 2033152 2097152 2145088 2199934 2269184 2354176 2414368 2490368 2547292 2694656 2725888 2795584 2883584 2949496 2957312 3120128 3199904 3236992 3319756 3424256 3511808 3705152 3799886 3843928 3964928 4066304 4194304 4290176 4399868 4538368 4708352 4828736 4980736 5094584 5389312 5451776 5591168 5767168 5898992 5914624 6240256 6399808 6473984 6639512 6848512 7005053 7023616 7410304 7599772 7687856 7929856 8132608 8388608 8580352 8799736 9076736 9129329 9416704 9657472 9961472 10189168 10778624 10903552 11182336 11534336 11797984 11829248 12099637 12480512 12799616 12947968 13279024 13697024 14010106 14047232 14820608 15199544 15375712 15859712 16265216 16777216 17160704 17599472 18153472 18258658 18833408 19314944 19922944 20378336 20899373 21557248 21807104 22364672 23068672 23595968 23658496 24199274 24961024 25599232 25895936 26558048 27394048 28020212 28094464 29641216 30399088 30751424 31719424 32530432 34321408 35198944 36306944 36517316 37666816 38629888 39845888 40756672 41798746 43114496 43614208 44729344 46137344 47191936 47316992 48398548 49922048 51198464 51791872 53116096 54788096 56040424 56188928 59282432 60798176 61502848 63438848 65060864 68642816 70397888 72613888 73034632 75333632 77259776 79691776 81513344 83597492 86228992 87228416 89458688 92274688 94383872 94633984 96797096 99844096 102396928 103583744 106232192 109576192 112080848 112377856 118564864 121596352 123005696 126877696 130121728 133096007 137285632 140795776 145227776 146069264 150667264 154519552 159383552 163026688 167194984 172457984 174456832 178917376 184549376 188767744 189267968 193594192 199688192 204793856 207167488 212464384 219152384 224161696 224755712 229893103 237129728 243192704 246011392 253755392 260243456 266192014 274571264 281591552 290455552 292138528 301334528 309039104 318767104 326053376 334389968 344915968 348913664 357834752 377535488 378535936 387188384 399376384 409587712 414334976 424928768 438304768 448323392 449511424 459786206 474259456 486385408 492022784 507510784 520486912 532384028 549142528 563183104 580911104 584277056 602669056 618078208 652106752 668779936 689831936 697827328 715669504 755070976 757071872 774376768 798752768 819175424 828669952 849857536 876609536 896646784 899022848 919572412 948518912 972770816 984045568 1015021568 1040973824 1064768056 1098285056 1126366208 1161822208 1168554112 1205338112 1236156416 1304213504 1337559872 1379663872 1395654656 1431339008 1510141952 1514143744 1548753536 1597505536 1638350848 1657339904 1699715072 1753219072 1793293568 1798045696 1839144824 1897037824 1945541632 1968091136 2030043136 2081947648 2129536112 2196570112 2252732416 2323644416 2337108224 2410676224 2472312832 2528824133 2608427008 2675119744 2759327744 2791309312 2862678016 3020283904 3028287488 3097507072 3195011072 3276701696 3314679808 3399430144 3506438144 3586587136 3596091392 3678289648 3794075648 3891083264 3936182272 4163895296 4259072224 4393140224 4505464832 4647288832 4674216448 4821352448 4944625664 5057648266 5216854016 5350239488 5518655488 5582618624 5725356032 6040567808 6056574976 6195014144 6390022144 6553403392 6629359616 6798860288 7173174272 7192182784 7356579296 7588151296 7782166528 7872364544 8327790592 8518144448 8786280448 9010929664 9348432896 9642704896 9889251328 10115296532 10433708032 10700478976 11037310976 11165237248 11450712064 12081135616 12390028288 12780044288 13106806784 13258719232 13597720576 14346348544 14384365568 14713158592 15176302592 15564333056 15744729088 16655581184 17036288896 17572560896 18021859328 18696865792 19285409792 19778502656 20230593064 20867416064 21400957952 22074621952 22330474496 22901424128 24162271232 24780056576 25560088576 26213613568 26517438464 27195441152 28692697088 28768731136 29426317184 30352605184 31128666112 31489458176 33311162368 34072577792 35145121792 36043718656 37393731584 38570819584 39557005312 40461186128 41734832128 42801915904 44149243904 45802848256 48324542464 49560113152 51120177152 52427227136 53034876928 54390882304 57385394176 57537462272 58852634368 60705210368 62257332224 62978916352 66622324736 68145155584 70290243584 72087437312 74787463168 79114010624 80922372256 83469664256 85603831808 88298487808 91605696512 96649084928 99120226304 104854454272 106069753856 108781764608 114770788352 115074924544 117705268736 121410420736 124514664448 125957832704 136290311168 140580487168 144174874624 149574926336 158228021248 161844744512 166939328512 171207663616 183211393024 193298169856 198240452608 209708908544 212139507712 217563529216 229541576704 235410537472 242820841472 249029328896 251915665408 272580622336 281160974336 288349749248 299149852672 316456042496 323689489024 333878657024 342415327232 366422786048 386596339712 396480905216 419417817088 424279015424 435127058432 459083153408 470821074944 485641682944 498058657792 503831330816 545161244672 562321948672 576699498496 598299705344 632912084992 647378978048 667757314048 684830654464 732845572096 773192679424 792961810432 838835634176 870254116864 918166306816 941642149888 971283365888 996117315584 1007662661632 1090322489344 1153398996992 1196599410688 1265824169984 1294757956096 1335514628096 1369661308928 1546385358848 1585923620864 1677671268352 1740508233728 1836332613632 1883284299776 1992234631168 2015325323264 2180644978688 2306797993984 2393198821376 2589515912192 2671029256192 2739322617856 3092770717696 3171847241728 3481016467456 3672665227264 3766568599552 3984469262336 4030650646528 4361289957376 4613595987968 4786397642752 5179031824384 5342058512384 5478645235712 6185541435392 6343694483456 6962032934912 7345330454528 7533137199104 7968938524672 8061301293056 8722579914752 9227191975936 9572795285504 10358063648768 10684117024768 10957290471424 12687388966912 13924065869824 14690660909056 15066274398208 15937877049344 17445159829504 18454383951872 19145590571008 20716127297536 21914580942848 25374777933824 29381321818112 30132548796416 31875754098688 34890319659008 38291181142016 41432254595072 43829161885696 50749555867648 58762643636224 60265097592832 69780639318016 76582362284032 82864509190144 87658323771392 101499111735296 117525287272448 120530195185664 139561278636032 153164724568064 165729018380288 175316647542784 202998223470592 241060390371328 279122557272064 331458036760576 350633295085568 482120780742656 558245114544128 662916073521152 964241561485312 1116490229088256 1325832147042304 1928483122970624 2232980458176512 2651664294084608 3856966245941248 5303328588169216 10606657176338432 21213314352676864 42426628705353728
- Sum of all divisors σ(n): 98872227266436480
- Sum of proper divisors (its aliquot sum) s(n): 56445598561082752
- 42426628705353728 is an abundant number, because the sum of its proper divisors (56445598561082752) is greater than itself. Its abundance is 14018969855729024
Bases of 42426628705353728
- Binary: 100101101011101011001011010001010000000000000000000000002
- Hexadecimal: 0x96BACB45000000
- Base-36: BLQZG5O2QRK
Squares and roots of 42426628705353728
- 42426628705353728 squared (424266287053537282) is 1800018823301944950062249603497984
- 42426628705353728 cubed (424266287053537283) is 76368730278879337558969780947938055811776854884352
-
The
square root of 42426628705353728 is 205977252.8833068207 -
The
cube root of 42426628705353728 is 348775.6641974573
Scales and comparisons
How big is 42426628705353728?- 42,426,628,705,353,728 seconds is equal to 1,349,035,558 years, 33 weeks, 6 days, 2 minutes, 8 seconds.
-
To count from 1 to 42,426,628,705,353,728 would take you about four billion, forty-seven million, one hundred six thousand, six hundred seventy-five 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 42426628705353728 cubic inches would be around 29064.6 feet tall.
Recreational maths with 42426628705353728
- 42426628705353728 backwards is 82735350782662424
- The number of decimal digits it has is: 17
- The sum of 42426628705353728's digits is 74
- More coming soon!
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The information we have on file for 42426628705353728 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 42426628705353728, math, Factors of 42426628705353728, curriculum, school, college, exams, university, Prime factorization of 42426628705353728, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, four hundred twenty-six trillion, six hundred twenty-eight billion, seven hundred five million, three hundred fifty-three thousand, seven hundred twenty-eight.