42048928729566144
42,048,928,729,566,144 is an even composite number composed of four prime numbers multiplied together.
What does the number 42048928729566144 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 672 divisors.
42048928729566144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 42048928729566144:
26 × 37 × 172 × 10133
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 17 × 17 × 1013 × 1013 × 1013)See below for interesting mathematical facts about the number 42048928729566144 from the Numbermatics database.
Names of 42048928729566144
- Cardinal: 42048928729566144 can be written as Forty-two quadrillion, forty-eight trillion, nine hundred twenty-eight billion, seven hundred twenty-nine million, five hundred sixty-six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.2048928729566144 × 1016
Factors of 42048928729566144
Divisors of 42048928729566144
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 243 272 288 289 306 324 408 432 459 486 544 576 578 612 648 729 816 864 867 918 972 1013 1088 1156 1224 1296 1377 1458 1632 1728 1734 1836 1944 2026 2187 2312 2448 2592 2601 2754 2916 3039 3264 3468 3672 3888 4052 4131 4374 4624 4896 5184 5202 5508 5832 6078 6936 7344 7776 7803 8104 8262 8748 9117 9248 9792 10404 11016 11664 12156 12393 13872 14688 15552 15606 16208 16524 17221 17496 18234 18496 20808 22032 23328 23409 24312 24786 27351 27744 29376 31212 32416 33048 34442 34992 36468 37179 41616 44064 46656 46818 48624 49572 51663 54702 55488 62424 64832 66096 68884 69984 70227 72936 74358 82053 83232 88128 93636 97248 99144 103326 109404 124848 132192 137768 139968 140454 145872 148716 154989 164106 166464 187272 194496 198288 206652 210681 218808 246159 249696 264384 275536 280908 291744 292757 297432 309978 328212 374544 396576 413304 421362 437616 464967 492318 499392 551072 561816 583488 585514 594864 619956 632043 656424 738477 749088 793152 826608 842724 875232 878271 929934 984636 1026169 1102144 1123632 1171028 1189728 1239912 1264086 1312848 1394901 1476954 1498176 1653216 1685448 1750464 1756542 1859868 1969272 2052338 2215431 2247264 2342056 2379456 2479824 2528172 2625696 2634813 2789802 2953908 3078507 3306432 3370896 3513084 3719736 3938544 4104676 4184703 4430862 4494528 4684112 4959648 5056344 5251392 5269626 5579604 5907816 6157014 6741792 7026168 7439472 7877088 7904439 8209352 8369406 8861724 9235521 9368224 9919296 10112688 10539252 11159208 11815632 12314028 12554109 13483584 14052336 14878944 15754176 15808878 16418704 16738812 17444873 17723448 18471042 18736448 20225376 21078504 22318416 23631264 23713317 24628056 25108218 27706563 28104672 29757888 31617756 32837408 33477624 34889746 35446896 36942084 37662327 40450752 42157008 44636832 47262528 47426634 49256112 50216436 52334619 55413126 56209344 63235512 65674816 66955248 69779492 70893792 71139951 73884168 75324654 83119689 84314016 89273664 94853268 98512224 100432872 104669238 110826252 126471024 133910496 139558984 141787584 142279902 147768336 150649308 157003857 166239378 168628032 189706536 197024448 200865744 209338476 213419853 221652504 249359067 252942048 267820992 279117968 284559804 295536672 296562841 301298616 314007714 332478756 379413072 401731488 418676952 426839706 443305008 471011571 498718134 505884096 558235936 569119608 591073344 593125682 602597232 628015428 640259559 664957512 748077201 758826144 803462976 837353904 853679412 886610016 889688523 942023142 997436268 1039509197 1116471872 1138239216 1186251364 1205194464 1256030856 1280519118 1329915024 1413034713 1496154402 1517652288 1674707808 1707358824 1773220032 1779377046 1884046284 1994872536 2079018394 2244231603 2276478432 2372502728 2410388928 2512061712 2561038236 2659830048 2669065569 2826069426 2992308804 3118527591 3349415616 3414717648 3558754092 3768092568 3989745072 4158036788 4239104139 4488463206 4552956864 4745005456 5024123424 5122076472 5319660096 5338131138 5652138852 5984617608 6237055182 6829435296 7117508184 7536185136 7979490144 8007196707 8316073576 8478208278 8976926412 9355582773 9490010912 10048246848 10244152944 10676262276 11304277704 11969235216 12474110364 12717312417 13658870592 14235016368 15072370272 15958980288 16014393414 16632147152 16956416556 17671656349 17953852824 18711165546 18980021824 20488305888 21352524552 22608555408 23938470432 24021590121 24948220728 25434624834 28066748319 28470032736 30144740544 32028786828 33264294304 33912833112 35343312698 35907705648 37422331092 38151937251 40976611776 42705049104 45217110816 47876940864 48043180242 49896441456 50869249668 53014969047 56133496638 56940065472 64057573656 66528588608 67825666224 70686625396 71815411296 72064770363 74844662184 76303874502 84200244957 85410098208 90434221632 96086360484 99792882912 101738499336 106029938094 112266993276 128115147312 135651332448 141373250792 143630822592 144129540726 149689324368 152607749004 159044907141 168400489914 170820196416 192172720968 199585765824 203476998672 212059876188 216194311089 224533986552 252600734871 256230294624 271302664896 282746501584 288259081452 299378648736 300418157933 305215498008 318089814282 336800979828 384345441936 406953997344 424119752376 432388622178 449067973104 477134721423 505201469742 512460589248 565493003168 576518162904 598757297472 600836315866 610430996016 636179628564 648582933267 673601959656 757802204613 768690883872 813907994688 848239504752 864777244356 898135946208 901254473799 954269442846 1010402939484 1130986006336 1153036325808 1201672631732 1220861992032 1272359257128 1297165866534 1347203919312 1431404164269 1515604409226 1537381767744 1696479009504 1729554488712 1796271892416 1802508947598 1908538885692 2020805878968 2273406613839 2306072651616 2403345263464 2441723984064 2544718514256 2594331733068 2694407838624 2703763421397 2862808328538 3031208818452 3392958019008 3459108977424 3605017895196 3817077771384 4041611757936 4294212492807 4546813227678 4612145303232 4806690526928 5089437028512 5188663466136 5388815677248 5407526842794 5725616657076 6062417636904 6918217954848 7210035790392 7634155542768 8083223515872 8111290264191 8588424985614 9093626455356 9613381053856 10178874057024 10377326932272 10815053685588 11451233314152 12124835273808 12882637478421 13836435909696 14420071580784 15268311085536 16166447031744 16222580528382 17176849971228 18187252910712 19226762107712 20754653864544 21630107371176 22902466628304 24249670547616 24333870792573 25765274956842 28840143161568 30536622171072 32445161056764 34353699942456 36374505821424 38647912435263 41509307729088 43260214742352 45804933256608 48499341095232 48667741585146 51530549913684 57680286323136 64890322113528 68707399884912 72749011642848 73001612377719 77295824870526 86520429484704 91609866513216 97335483170292 103061099827368 129780644227056 137414799769824 145498023285696 146003224755438 154591649741052 173040858969408 194670966340584 206122199654736 219004837133157 259561288454112 274829599539648 292006449510876 309183299482104 389341932681168 412244399309472 438009674266314 519122576908224 584012899021752 618366598964208 657014511399471 778683865362336 824488798618944 876019348532628 1168025798043504 1236733197928416 1314029022798942 1557367730724672 1752038697065256 2336051596087008 2473466395856832 2628058045597884 3504077394130512 4672103192174016 5256116091195768 7008154788261024 10512232182391536 14016309576522048 21024464364783072 42048928729566144
- Sum of all divisors σ(n): 133067871177009600
- Sum of proper divisors (its aliquot sum) s(n): 91018942447443456
- 42048928729566144 is an abundant number, because the sum of its proper divisors (91018942447443456) is greater than itself. Its abundance is 48970013717877312
Bases of 42048928729566144
- Binary: 100101010110001101000111001001000001110010001011110000002
- Hexadecimal: 0x956347241C8BC0
- Base-36: BI13N6MF000
Squares and roots of 42048928729566144
- 42048928729566144 squared (420489287295661442) is 1768112407304133052854022471028736
- 42048928729566144 cubed (420489287295661443) is 74347232600593115997312772028326775072794636713984
-
The
square root of 42048928729566144 is 205058354.4495716077 -
The
cube root of 42048928729566144 is 347737.5943023831
Scales and comparisons
How big is 42048928729566144?- 42,048,928,729,566,144 seconds is equal to 1,337,025,867 years, 37 weeks, 4 days, 11 hours, 2 minutes, 24 seconds.
-
To count from 1 to 42,048,928,729,566,144 would take you about four billion, eleven million, seventy-seven thousand, six hundred three 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 42048928729566144 cubic inches would be around 28978.1 feet tall.
Recreational maths with 42048928729566144
- 42048928729566144 backwards is 44166592782984024
- 42048928729566144 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42048928729566144's digits is 81
- More coming soon!
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The information we have on file for 42048928729566144 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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