42406723951627141436904
42,406,723,951,627,141,436,904 is an even composite number composed of seven prime numbers multiplied together.
42406723951627141436904 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 42406723951627141436904:
23 × 32 × 7 × 67 × 73 × 181 × 95044709812981
(2 × 2 × 2 × 3 × 3 × 7 × 67 × 73 × 181 × 95044709812981)See below for interesting mathematical facts about the number 42406723951627141436904 from the Numbermatics database.
Names of 42406723951627141436904
- Cardinal: 42406723951627141436904 can be written as Forty-two sextillion, four hundred six quintillion, seven hundred twenty-three quadrillion, nine hundred fifty-one trillion, six hundred twenty-seven billion, one hundred forty-one million, four hundred thirty-six thousand, nine hundred four.
Scientific notation
- Scientific notation: 4.2406723951627141436904 × 1022
Factors of 42406723951627141436904
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 95044709813314
Divisors of 42406723951627141436904
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 67 72 73 84 126 134 146 168 181 201 219 252 268 292 362 402 438 469 504 511 536 543 584 603 657 724 804 876 938 1022 1086 1206 1267 1314 1407 1448 1533 1608 1629 1752 1876 2044 2172 2412 2534 2628 2814 3066 3258 3752 3801 4088 4221 4344 4599 4824 4891 5068 5256 5628 6132 6516 7602 8442 9198 9782 10136 11256 11403 12127 12264 13032 13213 14673 15204 16884 18396 19564 22806 24254 26426 29346 30408 33768 34237 36381 36792 39128 39639 44019 45612 48508 52852 58692 68474 72762 79278 84889 88038 91224 92491 97016 102711 105704 109143 117384 118917 136948 145524 158556 169778 176076 184982 205422 218286 237834 254667 273896 277473 291048 308133 317112 339556 352152 369964 410844 436572 475668 509334 554946 616266 679112 739928 764001 821688 832419 873144 885271 951336 1018668 1109892 1232532 1528002 1664838 1770542 2037336 2219784 2465064 2655813 3056004 3329676 3541084 5311626 6112008 6196897 6659352 7082168 7967439 10623252 12393794 15934878 18590691 21246504 24787588 31869756 37181382 49575176 55772073 63739512 74362764 111544146 148725528 223088292 446176584 95044709812981 190089419625962 285134129438943 380178839251924 570268258877886 665312968690867 760357678503848 855402388316829 1140536517755772 1330625937381734 1710804776633658 1995938906072601 2281073035511544 2661251874763468 3421609553267316 3991877812145202 5322503749526936 5987816718217803 6367995557469727 6843219106534632 6938263816347613 7983755624290404 11975633436435606 12735991114939454 13876527632695226 15967511248580808 17203092476149561 19103986672409181 20814791449042839 23951266872871212 25471982229878908 27753055265390452 34406184952299122 38207973344818362 41629582898085678 44575968902288089 47902533745742424 48567846714433291 50943964459757816 51609277428448683 55506110530780904 57311960017227543 62444374347128517 68812369904598244 76415946689636724 83259165796171356 89151937804576178 97135693428866582 103218554856897366 114623920034455086 120421647333046927 124888748694257034 133727906706864267 137624739809196488 145703540143299873 152831893379273448 154827832285346049 166518331592342712 178303875609152356 194271386857733164 206437109713794732 229247840068910172 240843294666093854 249777497388514068 267455813413728534 291407080286599746 309655664570692098 356607751218304712 361264941999140781 388542773715466328 401183720120592801 412874219427589464 437110620429899619 458495680137820344 464863675695290071 481686589332187708 499554994777028136 534911626827457068 582814160573199492 619311329141384196 722529883998281562 802367440241185602 874221240859799238 929727351390580142 963373178664375416 1069823253654914136 1083794825997422343 1152607195902020587 1165628321146398984 1238622658282768392 1255825750758917953 1394591027085870213 1445059767996563124 1604734880482371204 1748442481719598476 1859454702781160284 2167589651994844686 2305214391804041174 2511651501517835906 2789182054171740426 2890119535993126248 3209469760964742408 3254045729867030497 3457821587706061761 3496884963439196952 3718909405562320568 3767477252276753859 4183773081257610639 4335179303989689372 4610428783608082348 5023303003035671812 5578364108343480852 6508091459734060994 6915643175412123522 7534954504553507718 8068250371314144109 8367546162515221278 8670358607979378744 8790780255312425671 9220857567216164696 9762137189601091491 10046606006071343624 10373464763118185283 11156728216686961704 11302431756830261577 13016182919468121988 13831286350824247044 15069909009107015436 16136500742628288218 16735092325030442556 17581560510624851342 19524274379202182982 20746929526236370566 22604863513660523154 24204751113942432327 26032365838936243976 26372340765937277013 27662572701648494088 29286411568803274473 30139818018214030872 32273001485256576436 33470184650060885112 35163121021249702684 39048548758404365964 41493859052472741132 45209727027321046308 48409502227884864654 52744681531874554026 58572823137606548946 64546002970513152872 70326242042499405368 72614253341827296981 78097097516808731928 79117022297811831039 82987718104945482264 84140325300847502851 90419454054642092616 96819004455769729308 105489363063749108052 117145646275213097892 145228506683654593962 158234044595623662078 168280650601695005702 193638008911539458616 210978726127498216104 234291292550426195784 252420975902542508553 290457013367309187924 316468089191247324156 336561301203390011404 504841951805085017106 580914026734618375848 588982277105932519957 632936178382494648312 673122602406780022808 757262927707627525659 1009683903610170034212 1177964554211865039914 1514525855415255051318 1766946831317797559871 2019367807220340068424 2355929108423730079828 3029051710830510102636 3533893662635595119742 4711858216847460159656 5300840493953392679613 6058103421661020205272 7067787325271190239484 10601680987906785359226 14135574650542380478968 21203361975813570718452 42406723951627141436904
- Sum of all divisors σ(n): 135788993058832506382080
- Sum of proper divisors (its aliquot sum) s(n): 93382269107205364945176
- 42406723951627141436904 is an abundant number, because the sum of its proper divisors (93382269107205364945176) is greater than itself. Its abundance is 50975545155578223508272
Bases of 42406723951627141436904
- Binary: 10001111101011011111100001000100000110001101010100010010110011010101111010002
- Hexadecimal: 0x8FADF84418D512CD5E8
- Base-36: 6WLMEOJ347HT0Q0
Squares and roots of 42406723951627141436904
- 42406723951627141436904 squared (424067239516271414369042) is 1798330236309507077987436130557290013813105216
- 42406723951627141436904 cubed (424067239516271414369043) is 76261293905041671061520886777751592489797954402585229229268377291264
-
The
square root of 42406723951627141436904 is 205928929370.3707415965 -
The
cube root of 42406723951627141436904 is 34872111.2140003073
Scales and comparisons
How big is 42406723951627141436904?- 42,406,723,951,627,141,436,904 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,406,723,951,627,141,436,904 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 42406723951627141436904 cubic inches would be around 2906009.3 feet tall.
Recreational maths with 42406723951627141436904
- 42406723951627141436904 backwards is 40963414172615932760424
- The number of decimal digits it has is: 23
- The sum of 42406723951627141436904's digits is 90
- More coming soon!
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The information we have on file for 42406723951627141436904 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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