40947845977188864
40,947,845,977,188,864 is an even composite number composed of five prime numbers multiplied together.
40947845977188864 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred divisors.
Prime factorization of 40947845977188864:
29 × 34 × 7 × 139 × 1014759769
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 139 × 1014759769)See below for interesting mathematical facts about the number 40947845977188864 from the Numbermatics database.
Names of 40947845977188864
- Cardinal: 40947845977188864 can be written as Forty quadrillion, nine hundred forty-seven trillion, eight hundred forty-five billion, nine hundred seventy-seven million, one hundred eighty-eight thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 4.0947845977188864 × 1016
Factors of 40947845977188864
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 1014759920
Divisors of 40947845977188864
- Number of divisors d(n): 400
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 139 144 162 168 189 192 216 224 252 256 278 288 324 336 378 384 417 432 448 504 512 556 567 576 648 672 756 768 834 864 896 973 1008 1112 1134 1152 1251 1296 1344 1512 1536 1668 1728 1792 1946 2016 2224 2268 2304 2502 2592 2688 2919 3024 3336 3456 3584 3753 3892 4032 4448 4536 4608 5004 5184 5376 5838 6048 6672 6912 7506 7784 8064 8757 8896 9072 10008 10368 10752 11259 11676 12096 13344 13824 15012 15568 16128 17514 17792 18144 20016 20736 22518 23352 24192 26271 26688 30024 31136 32256 35028 35584 36288 40032 41472 45036 46704 48384 52542 53376 60048 62272 70056 71168 72576 78813 80064 90072 93408 96768 105084 106752 120096 124544 140112 145152 157626 160128 180144 186816 210168 213504 240192 249088 280224 290304 315252 320256 360288 373632 420336 480384 498176 560448 630504 640512 720576 747264 840672 960768 1120896 1261008 1441152 1494528 1681344 1921536 2241792 2522016 2882304 3362688 4483584 5044032 5764608 6725376 10088064 13450752 20176128 40352256 1014759769 2029519538 3044279307 4059039076 6088558614 7103318383 8118078152 9132837921 12177117228 14206636766 16236156304 18265675842 21309955149 24354234456 27398513763 28413273532 32472312608 36531351684 42619910298 48708468912 54797027526 56826547064 63929865447 64944625216 73062703368 82195541289 85239820596 97416937824 109594055052 113653094128 127859730894 129889250432 141051607891 146125406736 164391082578 170479641192 191789596341 194833875648 219188110104 227306188256 255719461788 259778500864 282103215782 292250813472 328782165156 340959282384 383579192682 389667751296 423154823673 438376220208 454612376512 511438923576 519557001728 564206431564 575368789023 584501626944 657564330312 681918564768 767158385364 779335502592 846309647346 876752440416 909224753024 987361255237 1022877847152 1128412863128 1150737578046 1169003253888 1269464471019 1315128660624 1363837129536 1534316770728 1558671005184 1692619294692 1753504880832 1818449506048 1974722510474 2045755694304 2256825726256 2301475156092 2338006507776 2538928942038 2630257321248 2727674259072 2962083765711 3068633541456 3385238589384 3507009761664 3636899012096 3808393413057 3949445020948 4091511388608 4513651452512 4602950312184 4676013015552 5077857884076 5260514642496 5455348518144 5924167531422 6137267082912 6770477178768 7014019523328 7616786826114 7898890041896 8183022777216 8886251297133 9027302905024 9205900624368 10155715768152 10521029284992 10910697036288 11425180239171 11848335062844 12274534165824 13540954357536 14028039046656 15233573652228 15797780083792 16366045554432 17772502594266 18054605810048 18411801248736 20311431536304 21042058569984 22850360478342 23696670125688 24549068331648 26658753891399 27081908715072 30467147304456 31595560167584 32732091108864 35545005188532 36109211620096 36823602497472 40622863072608 42084117139968 45700720956684 47393340251376 49098136663296 53317507782798 54163817430144 60934294608912 63191120335168 71090010377064 72218423240192 73647204994944 79976261674197 81245726145216 91401441913368 94786680502752 98196273326592 106635015565596 108327634860288 121868589217824 126382240670336 142180020754128 147294409989888 159952523348394 162491452290432 182802883826736 189573361005504 213270031131192 216655269720576 243737178435648 252764481340672 284360041508256 294588819979776 319905046696788 324982904580864 365605767653472 379146722011008 426540062262384 487474356871296 505528962681344 568720083016512 639810093393576 649965809161728 731211535306944 758293444022016 853080124524768 974948713742592 1137440166033024 1279620186787152 1462423070613888 1516586888044032 1706160249049536 1949897427485184 2274880332066048 2559240373574304 2924846141227776 3412320498099072 4549760664132096 5118480747148608 5849692282455552 6824640996198144 10236961494297216 13649281992396288 20473922988594432 40947845977188864
- Sum of all divisors σ(n): 140683209643099200
- Sum of proper divisors (its aliquot sum) s(n): 99735363665910336
- 40947845977188864 is an abundant number, because the sum of its proper divisors (99735363665910336) is greater than itself. Its abundance is 58787517688721472
Bases of 40947845977188864
- Binary: 100100010111100111011001010101011100100110101010000000002
- Hexadecimal: 0x9179D955C9AA00
- Base-36: B76SSR0RK00
Squares and roots of 40947845977188864
- 40947845977188864 squared (409478459771888642) is 1676726090171582232494235925610496
- 40947845977188864 cubed (409478459771888643) is 68658321686280035954857942928956411276429092716544
-
The
square root of 40947845977188864 is 202355741.1520336973 -
The
cube root of 40947845977188864 is 344675.4519171459
Scales and comparisons
How big is 40947845977188864?- 40,947,845,977,188,864 seconds is equal to 1,302,014,842 years, 3 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 40,947,845,977,188,864 would take you about three billion, nine hundred six million, forty-four thousand, five hundred twenty-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 40947845977188864 cubic inches would be around 28723 feet tall.
Recreational maths with 40947845977188864
- 40947845977188864 backwards is 46888177954874904
- The number of decimal digits it has is: 17
- The sum of 40947845977188864's digits is 99
- More coming soon!
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