40428136919822512
40,428,136,919,822,512 is an even composite number composed of six prime numbers multiplied together.
What does the number 40428136919822512 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
40428136919822512 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 40428136919822512:
24 × 73 × 232 × 892 × 109 × 1272
(2 × 2 × 2 × 2 × 7 × 7 × 7 × 23 × 23 × 89 × 89 × 109 × 127 × 127)See below for interesting mathematical facts about the number 40428136919822512 from the Numbermatics database.
Names of 40428136919822512
- Cardinal: 40428136919822512 can be written as Forty quadrillion, four hundred twenty-eight trillion, one hundred thirty-six billion, nine hundred nineteen million, eight hundred twenty-two thousand, five hundred twelve.
Scientific notation
- Scientific notation: 4.0428136919822512 × 1016
Factors of 40428136919822512
Divisors of 40428136919822512
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 7 8 14 16 23 28 46 49 56 89 92 98 109 112 127 161 178 184 196 218 254 322 343 356 368 392 436 508 529 623 644 686 712 763 784 872 889 1016 1058 1127 1246 1288 1372 1424 1526 1744 1778 2032 2047 2116 2254 2492 2507 2576 2744 2921 3052 3556 3703 4094 4232 4361 4508 4984 5014 5341 5488 5842 6104 6223 7112 7406 7889 7921 8188 8464 8722 9016 9701 9968 10028 10682 11303 11684 12208 12446 13843 14224 14329 14812 15778 15842 16129 16376 17444 17549 18032 19402 20056 20447 21364 22606 23368 24892 25921 27686 28658 29624 30527 31556 31684 32258 32752 34888 35098 37387 38804 40112 40894 42728 43561 45212 46736 47081 49784 51842 55372 55447 57316 57661 59248 61054 63112 63368 64516 67183 67907 69776 70196 74774 77608 79121 81788 85456 87122 90424 94162 96901 99568 100303 103684 110744 110894 112903 114632 115322 122108 122843 126224 126736 129032 134366 135814 140392 143129 149548 155216 158242 163576 174244 180848 181447 182183 188324 193802 200606 207368 221488 221788 223123 225806 229264 230644 244216 245686 258064 259969 268732 271628 280784 286258 299096 316484 318389 327152 329567 348488 362894 364366 370967 376648 387604 388129 401212 403627 414736 443576 446246 451612 461288 470281 475349 488432 491372 519938 537464 543256 553847 572516 598192 632968 636778 659134 678307 696976 702121 725788 728732 741934 753296 775208 776258 790321 802424 807254 859901 863389 887152 892492 903224 922576 940562 950698 982744 1001903 1005967 1039876 1074928 1086512 1107694 1145032 1232027 1265936 1273556 1275281 1318268 1356614 1404242 1435481 1451576 1457464 1483868 1550416 1552516 1561861 1580642 1604848 1614508 1719802 1726778 1758061 1784984 1806448 1819783 1881124 1901396 1965488 2003806 2011934 2079752 2215388 2228723 2290064 2306969 2464054 2547112 2550562 2596769 2636536 2713228 2716903 2808484 2825389 2870962 2903152 2914928 2967736 3105032 3123722 3161284 3229016 3291967 3327443 3439604 3453556 3516122 3569968 3639566 3762248 3802792 3876929 4007612 4023868 4159504 4190209 4430776 4457446 4613938 4748149 4928108 5094224 5101124 5131829 5193538 5273072 5426456 5433806 5532247 5616968 5650778 5741924 5935472 5979287 6043723 6210064 6247444 6322568 6458032 6583934 6654886 6879208 6907112 7032244 7041769 7279132 7322947 7524496 7605584 7753858 8015224 8047736 8380418 8532241 8624189 8861552 8914892 8926967 9227876 9496298 9856216 10048367 10202248 10263658 10387076 10852912 10867612 10933027 11064494 11233936 11301556 11483848 11958574 12087446 12306427 12494888 12645136 12738481 13167868 13309772 13758416 13814224 14064488 14083538 14558264 14645894 15507716 15601061 16030448 16095472 16148783 16760836 17064482 17248378 17829784 17853934 18177383 18455752 18992596 19712432 19777723 19857947 20096734 20404496 20527316 20774152 21735224 21866054 22128988 22603112 22967696 23043769 23137241 23917148 24174892 24612854 24989776 25476962 26335736 26619544 28128976 28167076 28336621 29116528 29291788 29331463 31015432 31202122 32297566 33016063 33521672 34128964 34496756 35659568 35707868 35922803 36354766 36911504 37985192 39555446 39715894 40193468 40435403 41054632 41548304 41855009 42306061 43470448 43732108 44257976 45206224 46087538 46274482 47834296 48349784 49225708 49292383 50953924 51260629 52671472 53239088 56334152 56673242 58583576 58662926 59725687 60369323 62030864 62404244 62488769 64595132 66032126 67043344 68257928 68993512 70338569 71415736 71845606 72709532 75970384 76531189 79110892 79431788 80386936 80870806 82109264 83710018 84612122 86144989 87464216 88515952 89169367 92175076 92548964 95668592 96699568 98451416 98584766 101907848 102521258 109207427 109650403 112668304 113346484 117167152 117325852 119451374 120738646 124808488 124977538 127241681 127757809 129190264 132064252 136515856 137987024 139005629 140677138 142831472 143691212 145419064 153062378 156467429 158221784 158863576 160773872 161741612 161960687 167420036 169224244 172289978 174928432 178338734 184350152 185097928 196902832 197169532 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1559667332272 1624141769236 1730064058534 1788380824552 1892348666908 1977216066896 2015762710402 2083709768056 2242021790141 2303728811888 2317595558348 2468743094762 2506549502128 2551959154136 2562310617304 2729417831476 2821420679728 2842248096163 2920475107984 3248283538472 3311610167089 3460128117068 3576761649104 3784697333816 4031525420804 4055792227109 4167419536112 4484043580282 4635191116696 4776481205083 4937486189524 5103918308272 5124621234608 5458835662952 5684496192326 6496567076944 6623220334178 6920256234136 7366643024749 7569394667632 8063050841608 8111584454218 8968087160564 9270382233392 9552962410166 9874972379048 10917671325904 11368992384652 13246440668356 13840512468272 14733286049498 15694152530987 16126101683216 16223168908436 17936174321128 19105924820332 19749944758096 19895736673141 22737984769304 23181271169623 26492881336712 28390545589763 29466572098996 31388305061974 32446337816872 35872348642256 38211849640664 39791473346282 45475969538608 46362542339246 51566501173243 52985762673424 56781091179526 58933144197992 62776610123948 64892675633744 76423699281328 79582946692564 92725084678492 103133002346486 109859067716909 113562182359052 117866288395984 125553220247896 159165893385128 185450169356984 206266004692972 219718135433818 227124364718104 251106440495792 318331786770256 360965508212701 370900338713968 412532009385944 439436270867636 454248729436208 721931016425402 825064018771888 878872541735272 1443862032850804 1757745083470544 2526758557488907 2887724065701608 5053517114977814 5775448131403216 10107034229955628 20214068459911256 40428136919822512
- Sum of all divisors σ(n): 98235088127484000
- Sum of proper divisors (its aliquot sum) s(n): 57806951207661488
- 40428136919822512 is an abundant number, because the sum of its proper divisors (57806951207661488) is greater than itself. Its abundance is 17378814287838976
Bases of 40428136919822512
- Binary: 100011111010000100101101001001000000100101110000101100002
- Hexadecimal: 0x8FA12D240970B0
- Base-36: B22KTPEHZN4
Squares and roots of 40428136919822512
- 40428136919822512 squared (404281369198225122) is 1634434254807916068068717581990144
- 40428136919822512 cubed (404281369198225123) is 66077131839822506632732806966419487176324213321728
-
The
square root of 40428136919822512 is 201067493.4439242269 -
The
cube root of 40428136919822512 is 343211.0347537231
Scales and comparisons
How big is 40428136919822512?- 40,428,136,919,822,512 seconds is equal to 1,285,489,701 years, 31 weeks, 5 days, 20 hours, 1 minute, 52 seconds.
-
To count from 1 to 40,428,136,919,822,512 would take you about three billion, eight hundred fifty-six million, four hundred sixty-nine thousand, one hundred four 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 40428136919822512 cubic inches would be around 28600.9 feet tall.
Recreational maths with 40428136919822512
- 40428136919822512 backwards is 21522891963182404
- The number of decimal digits it has is: 17
- The sum of 40428136919822512's digits is 67
- More coming soon!
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"Number 40428136919822512 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 40428136919822512 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/40428136919822512/
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The information we have on file for 40428136919822512 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 40428136919822512, math, Factors of 40428136919822512, curriculum, school, college, exams, university, Prime factorization of 40428136919822512, STEM, science, technology, engineering, physics, economics, calculator, forty quadrillion, four hundred twenty-eight trillion, one hundred thirty-six billion, nine hundred nineteen million, eight hundred twenty-two thousand, five hundred twelve.