1042138018514944
1,042,138,018,514,944 is an even composite number composed of six prime numbers multiplied together.
1042138018514944 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 1042138018514944:
211 × 132 × 172 × 41 × 592 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 17 × 17 × 41 × 59 × 59 × 73)See below for interesting mathematical facts about the number 1042138018514944 from the Numbermatics database.
Names of 1042138018514944
- Cardinal: 1042138018514944 can be written as One quadrillion, forty-two trillion, one hundred thirty-eight billion, eighteen million, five hundred fourteen thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 1.042138018514944 × 1015
Factors of 1042138018514944
Divisors of 1042138018514944
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 8 13 16 17 26 32 34 41 52 59 64 68 73 82 104 118 128 136 146 164 169 208 221 236 256 272 289 292 328 338 416 442 472 512 533 544 578 584 656 676 697 767 832 884 944 949 1003 1024 1066 1088 1156 1168 1241 1312 1352 1394 1534 1664 1768 1888 1898 2006 2048 2132 2176 2312 2336 2419 2482 2624 2704 2788 2873 2993 3068 3328 3481 3536 3757 3776 3796 4012 4264 4307 4352 4624 4672 4838 4964 5248 5408 5576 5746 5986 6136 6656 6929 6962 7072 7514 7552 7592 8024 8528 8614 8704 9061 9248 9344 9676 9928 9971 10496 10816 11152 11492 11849 11972 12272 12337 13039 13312 13858 13924 14144 15028 15104 15184 16048 16133 17051 17056 17228 17408 18122 18496 18688 19352 19856 19942 20992 21097 21632 22304 22984 23698 23944 24544 24674 26078 26624 27716 27848 28288 30056 30208 30368 31447 32096 32266 34102 34112 34456 34816 36244 36992 37376 38704 38909 39712 39884 41123 41984 42194 43264 44608 45253 45968 47396 47888 48841 49088 49348 50881 52156 55432 55696 55991 56576 59177 60112 60416 60736 62894 64192 64532 68204 68224 68912 72488 73219 73984 74752 77408 77818 79424 79768 82246 83968 84388 86528 89216 90506 91936 94792 95776 97682 98176 98696 101762 104312 110864 111392 111982 113152 117793 118354 120224 120832 121472 125788 128384 129064 136408 136448 137824 142721 144976 146438 147968 149504 154037 154816 155636 158848 159536 164492 168776 169507 173056 176587 178432 181012 183872 189584 191552 195364 196352 197392 203524 208624 209729 221663 221728 222784 223964 226304 235586 236708 240448 242944 251576 254113 256768 258128 272816 272896 274261 275648 285442 289952 292876 295936 308074 309632 311272 317696 319072 328984 337552 339014 346112 353174 356864 362024 367744 379168 383104 390728 392704 394784 407048 408811 417248 419458 443326 443456 445568 447928 452608 471172 473416 480896 485888 503152 505817 508226 513536 516256 534599 545632 545792 548522 551296 570884 579904 585752 588289 591872 616148 619264 622544 635392 638144 657968 661453 675104 678028 699091 706348 713728 724048 727883 735488 758336 766208 769301 781456 785408 789568 814096 817622 834496 838916 864977 886652 886912 891136 895856 942344 946832 951847 961792 971776 1006009 1006304 1011634 1016452 1027072 1032512 1069198 1091264 1091584 1097044 1102592 1141768 1159808 1171504 1176578 1232296 1238528 1244723 1245088 1270784 1276288 1315936 1322906 1350208 1356056 1398182 1412696 1427456 1448096 1455766 1470976 1516672 1532416 1538602 1562912 1570816 1579136 1628192 1635244 1668992 1677832 1729954 1773304 1773824 1782272 1791712 1855373 1884688 1893664 1903694 1923584 1943552 2002481 2012018 2012608 2023268 2032904 2054144 2065024 2138396 2182528 2194088 2205184 2283536 2295631 2319616 2343008 2353156 2426257 2464592 2477056 2489446 2490176 2541568 2552576 2631872 2645812 2700416 2712112 2796364 2825392 2881619 2896192 2911532 2941952 3001979 3033344 3064832 3077204 3125824 3158272 3256384 3270488 3303469 3337984 3355664 3459908 3546608 3547648 3564544 3565393 3583424 3710746 3769376 3787328 3807388 3847168 4004962 4024036 4025216 4046536 4065808 4130048 4276792 4319921 4365056 4388176 4410368 4567072 4591262 4639232 4686016 4706312 4852514 4929184 4954112 4978892 4980352 5105152 5263744 5291624 5400832 5424224 5592728 5650784 5763238 5792384 5823064 5883904 6003958 6066688 6129664 6154408 6251648 6316544 6512768 6540976 6606938 6675968 6711328 6919816 6949787 7093216 7095296 7129088 7130786 7166848 7421492 7538752 7574656 7614776 7694336 8009924 8048072 8050432 8093072 8131616 8260096 8553584 8598889 8639842 8730112 8776352 8820736 9088183 9134144 9182524 9278464 9372032 9412624 9705028 9858368 9957784 9960704 10000913 10210304 10418633 10527488 10583248 10801664 10848448 11185456 11244701 11301568 11526476 11584768 11646128 12007916 12133376 12308816 12374011 12503296 12633088 13025536 13078117 13081952 13213876 13351936 13422656 13839632 13899574 14186432 14190592 14261572 14333696 14842984 15077504 15149312 15229552 16019848 16096144 16100864 16181399 16186144 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75201184768 78285608362 79924688896 84472563712 84919981952 87047946752 87951558656 90683781632 93448531072 96351517984 99289064264 104516900864 104969582848 107703391744 111530181776 112687934528 115013576704 119730930436 120981892096 122201925248 129877619456 137267916032 137994970672 138692842496 147361145152 149689459712 150402369536 156571216724 169839963904 174095893504 181367563264 186897062144 192703035968 198578128528 209939165696 215406783488 223060363552 225375869056 239461860872 241963784192 244403850496 259755238912 274535832064 275989941344 277385684992 294722290304 299378919424 313142433448 339679927808 348191787008 362735126528 373794124288 385406071936 397156257056 419878331392 430813566976 446120727104 450751738112 478923721744 488807700992 508856454353 519510477824 549071664128 551979882688 589444580608 626284866896 679359855616 747588248576 770812143872 794312514112 839756662784 892241454208 901503476224 957847443488 977615401984 1017712908706 1039020955648 1098143328256 1103959765376 1178889161216 1252569733792 1358719711232 1495176497152 1541624287744 1588625028224 1784482908416 1803006952448 1915694886976 1955230803968 2035425817412 2207919530752 2357778322432 2505139467584 3083248575488 3177250056448 3568965816832 3606013904896 3831389773952 4070851634824 4415839061504 4715556644864 5010278935168 6166497150976 6354500112896 7137931633664 7662779547904 8141703269648 8831678123008 10020557870336 12709000225792 14275863267328 15325559095808 16283406539296 17663356246016 20041115740672 25418000451584 30651118191616 32566813078592 40082231481344 61302236383232 65133626157184 80164462962688 130267252314368 260534504628736 521069009257472 1042138018514944
- Sum of all divisors σ(n): 2531921917166460
- Sum of proper divisors (its aliquot sum) s(n): 1489783898651516
- 1042138018514944 is an abundant number, because the sum of its proper divisors (1489783898651516) is greater than itself. Its abundance is 447645880136572
Bases of 1042138018514944
- Binary: 111011001111010001101010100110011010001000000000002
- Hexadecimal: 0x3B3D1AA668800
- Base-36: A9ENLH0MPS
Squares and roots of 1042138018514944
- 1042138018514944 squared (10421380185149442) is 1086051649634253763347151323136
- 1042138018514944 cubed (10421380185149443) is 1131815714154727422512902495752064075388944384
-
The
square root of 1042138018514944 is 32282162.5439644919 -
The
cube root of 1042138018514944 is 101385.3208587321
Scales and comparisons
How big is 1042138018514944?- 1,042,138,018,514,944 seconds is equal to 33,136,765 years, 23 weeks, 16 hours, 49 minutes, 4 seconds.
-
To count from 1 to 1,042,138,018,514,944 would take you about ninety-nine million, four hundred ten thousand, two hundred ninety-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 1042138018514944 cubic inches would be around 8448.8 feet tall.
Recreational maths with 1042138018514944
- 1042138018514944 backwards is 4494158108312401
- The number of decimal digits it has is: 16
- The sum of 1042138018514944's digits is 55
- More coming soon!
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The information we have on file for 1042138018514944 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 1042138018514944, math, Factors of 1042138018514944, curriculum, school, college, exams, university, Prime factorization of 1042138018514944, STEM, science, technology, engineering, physics, economics, calculator, one quadrillion, forty-two trillion, one hundred thirty-eight billion, eighteen million, five hundred fourteen thousand, nine hundred forty-four.