42790407148125
42,790,407,148,125 is an odd composite number composed of seven prime numbers multiplied together.
42790407148125 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 42790407148125:
33 × 54 × 7 × 13 × 131 × 347 × 613
(3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 13 × 131 × 347 × 613)See below for interesting mathematical facts about the number 42790407148125 from the Numbermatics database.
Names of 42790407148125
- Cardinal: 42790407148125 can be written as Forty-two trillion, seven hundred ninety billion, four hundred seven million, one hundred forty-eight thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.2790407148125 × 1013
Factors of 42790407148125
Divisors of 42790407148125
- Number of divisors d(n): 640
-
Complete list of divisors:
1 3 5 7 9 13 15 21 25 27 35 39 45 63 65 75 91 105 117 125 131 135 175 189 195 225 273 315 325 347 351 375 393 455 525 585 613 625 655 675 819 875 917 945 975 1041 1125 1179 1365 1575 1625 1703 1735 1755 1839 1875 1965 2275 2429 2457 2625 2751 2925 3065 3123 3275 3375 3537 4095 4291 4375 4511 4585 4725 4875 5109 5205 5517 5625 5895 6825 7287 7875 7969 8125 8253 8515 8675 8775 9195 9369 9825 11375 11921 12145 12285 12873 13125 13533 13755 14625 15325 15327 15615 16375 16551 16875 17685 20475 21455 21861 22555 22925 23625 23907 24375 24759 25545 26025 27585 29475 31577 34125 35763 36435 38619 39375 39845 40599 41265 42575 43375 43875 45457 45975 45981 46845 49125 55783 56875 59605 60725 61425 64365 65583 67665 68775 71721 73125 76625 76635 78075 80303 81875 82755 88425 94731 102375 107275 107289 109305 112775 114625 115857 118125 119535 121797 123795 127725 130125 136371 137925 147375 157885 167349 170625 178815 182175 193095 199225 202995 206325 212711 212875 215163 216875 219375 227285 229875 229905 234225 240909 245625 278915 284193 298025 303625 307125 318199 321825 321867 327915 338325 343875 358605 383125 383175 390375 401515 409113 413775 442125 473655 502047 511875 536375 536445 546525 562121 563875 573125 579285 590941 597675 608985 618975 638133 638625 650625 681855 689625 722727 736875 789425 836745 852579 894075 910875 954597 965475 996125 1014975 1031625 1043939 1063555 1064375 1075815 1136425 1149375 1149525 1171125 1204545 1227339 1394575 1420965 1488977 1490125 1506141 1518125 1535625 1590995 1609125 1609335 1639575 1686363 1691625 1719375 1772823 1793025 1914399 1915875 1951875 2007575 2045565 2068875 2168181 2210625 2368275 2510235 2681875 2682225 2732625 2765243 2810605 2819375 2863791 2896425 2954705 2988375 3044925 3094875 3131817 3190665 3193125 3409275 3448125 3613635 3947125 4136587 4183725 4262895 4466931 4470375 4554375 4772985 4827375 4980625 5059089 5074875 5158125 5219695 5317775 5318469 5379075 5682125 5743197 5747625 5855625 6022725 6136695 6972875 7104825 7307573 7444885 7450625 7530705 7954975 8045625 8046675 8197875 8295729 8431815 8458125 8591373 8864115 8965125 9395451 9571995 9579375 10037875 10227825 10344375 10840905 11841375 12409761 12551175 13400793 13411125 13663125 13826215 14053025 14318955 14482125 14773525 14941875 15177267 15224625 15474375 15659085 15953325 15955407 17046375 18068175 19356701 19735625 20682935 20918625 21314475 21922719 22334655 22351875 23864925 24136875 24887187 25295445 25374375 26098475 26588875 26592345 26895375 27865141 28186353 28410625 28715985 28738125 30113625 30683475 34864375 35524125 36537865 37224425 37229283 37653525 39774875 40202379 40233375 40989375 41478645 42159075 42956865 44320575 44825625 46977255 47859975 50189375 51139125 54204525 58070103 59206875 62048805 62755875 65768157 67003965 67055625 69131075 70265125 71594775 72410625 73867625 74661561 75886335 76123125 78295425 79766625 79777035 83595423 85231875 90340875 96783505 103414675 104593125 106572375 109613595 111673275 111687849 119324625 124435935 126477225 130492375 132944375 132961725 134476875 139325705 140931765 143579925 150568125 153417375 174210309 177620625 182689325 186122125 186146415 188267625 195055987 197304471 198874375 201011895 201166875 207393225 210795375 214784325 221602875 234886275 239299875 250786269 255695625 271022625 290350515 310244025 313779375 328840785 335019825 345655375 351325625 357973875 362246833 369338125 373307805 379431675 391477125 398833125 398885175 417977115 451704375 483917525 517073375 522630927 532861875 548067975 558366375 558439245 585167961 596623125 622179675 632386125 652461875 664808625 696628525 704658825 717899625 752358807 767086875 871051545 913446625 930610625 930732075 941338125 975279935 986522355 1005059475 1036966125 1053976875 1073921625 1086740499 1108014375 1174431375 1196499375 1253931345 1355113125 1451752575 1551220125 1644203925 1675099125 1728276875 1755503883 1789869375 1811234165 1866539025 1897158375 1957385625 1994425875 2089885575 2419587625 2535727831 2585366875 2613154635 2740339875 2791831875 2792196225 2925839805 3110898375 3161930625 3260221497 3324043125 3483142625 3523294125 3589498125 3761794035 4355257725 4567233125 4653660375 4876399675 4932611775 5025297375 5184830625 5266511649 5369608125 5433702495 5872156875 6269656725 7258762875 7607183493 7756100625 8221019625 8375495625 8777519415 9056170825 9332695125 9485791875 9780664491 9972129375 10449427875 12097938125 12678639155 13065773175 13701699375 13960981125 14629199025 15554491875 16301107485 17415713125 17616470625 18808970175 21776288625 22821550479 23268301875 24381998375 24663058875 25126486875 26332558245 27168512475 31348283625 36293814375 38035917465 41105098125 43887597075 45280854125 46663475625 48903322455 52247139375 63393195775 65328865875 68464651437 69804905625 73145995125 81505537425 94044850875 108881443125 114107752395 121909991875 123315294375 131662791225 135842562375 156741418125 190179587325 219437985375 226404270625 244516612275 316965978875 326644329375 342323257185 365729975625 407527687125 470224254375 570538761975 658313956125 679212811875 950897936625 1097189926875 1222583061375 1584829894375 1711616285925 2037638435625 2852693809875 3291569780625 4754489683125 6112915306875 8558081429625 14263469049375 42790407148125
- Sum of all divisors σ(n): 98684874731520
- Sum of proper divisors (its aliquot sum) s(n): 55894467583395
- 42790407148125 is an abundant number, because the sum of its proper divisors (55894467583395) is greater than itself. Its abundance is 13104060435270
Bases of 42790407148125
- Binary: 10011011101010111010110000010010010010010111012
- Hexadecimal: 0x26EAEB04925D
- Base-36: F61N3LM59
Squares and roots of 42790407148125
- 42790407148125 squared (427904071481252) is 1831018943902307095691015625
- 42790407148125 cubed (427904071481253) is 78350046105509569929135743386341064453125
-
The
square root of 42790407148125 is 6541437.6973357317 -
The
cube root of 42790407148125 is 34976.9663817281
Scales and comparisons
How big is 42790407148125?- 42,790,407,148,125 seconds is equal to 1,360,602 years, 30 weeks, 3 days, 23 hours, 48 minutes, 45 seconds.
-
To count from 1 to 42,790,407,148,125 would take you about three million, four hundred one thousand, five 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 42790407148125 cubic inches would be around 2914.7 feet tall.
Recreational maths with 42790407148125
- 42790407148125 backwards is 52184170409724
- The number of decimal digits it has is: 14
- The sum of 42790407148125's digits is 54
- More coming soon!
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