18138075281818128
18,138,075,281,818,128 is an even composite number composed of eight prime numbers multiplied together.
What does the number 18138075281818128 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1600 divisors.
18138075281818128 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, six hundred divisors.
Prime factorization of 18138075281818128:
24 × 34 × 7 × 13 × 29 × 61 × 331 × 262657
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 13 × 29 × 61 × 331 × 262657)See below for interesting mathematical facts about the number 18138075281818128 from the Numbermatics database.
Names of 18138075281818128
- Cardinal: 18138075281818128 can be written as Eighteen quadrillion, one hundred thirty-eight trillion, seventy-five billion, two hundred eighty-one million, eight hundred eighteen thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.8138075281818128 × 1016
Factors of 18138075281818128
Divisors of 18138075281818128
- Number of divisors d(n): 1600
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 29 36 39 42 48 52 54 56 58 61 63 72 78 81 84 87 91 104 108 112 116 117 122 126 144 156 162 168 174 182 183 189 203 208 216 232 234 244 252 261 273 312 324 331 336 348 351 364 366 377 378 406 427 432 464 468 488 504 522 546 549 567 609 624 648 662 696 702 728 732 754 756 783 793 812 819 854 936 976 993 1008 1044 1053 1092 1098 1131 1134 1218 1281 1296 1324 1392 1404 1456 1464 1508 1512 1566 1586 1624 1638 1647 1708 1769 1827 1872 1986 2088 2106 2184 2196 2262 2268 2317 2349 2379 2436 2457 2562 2639 2648 2808 2928 2979 3016 3024 3132 3172 3248 3276 3294 3393 3416 3538 3654 3843 3972 4176 4212 4303 4368 4392 4524 4536 4634 4698 4758 4872 4914 4941 5124 5278 5296 5307 5481 5551 5616 5958 6032 6264 6344 6552 6588 6786 6832 6951 7076 7137 7308 7371 7686 7917 7944 8424 8606 8784 8937 9048 9072 9268 9396 9516 9599 9744 9828 9882 10179 10248 10556 10614 10962 11102 11529 11916 12383 12528 12688 12909 13104 13176 13572 13902 14152 14274 14616 14742 15372 15834 15888 15921 16443 16653 16848 17212 17874 18096 18536 18792 19032 19198 19656 19764 20191 20358 20496 20853 21112 21228 21411 21924 22204 22997 23058 23751 23832 24766 25818 26352 26811 27144 27804 28304 28548 28797 29232 29484 30121 30537 30744 31668 31842 32886 33306 34424 34587 35748 37072 37149 37584 38064 38396 38727 39312 39528 40382 40716 41706 42224 42456 42822 43848 44408 45994 46116 47502 47664 47763 49532 49959 51636 53622 54288 55608 57096 57594 58968 60242 60573 61074 61488 62559 63336 63684 64233 65772 66612 67193 68848 68991 69174 71253 71496 74298 76792 77454 79056 80764 81432 83412 84912 85644 86391 87696 88816 90363 91988 92232 95004 95526 99064 99918 103272 107244 111216 111447 114192 115188 116181 117936 120484 121146 122148 124787 125118 126672 127368 128466 131544 133224 134386 137982 138348 141337 142506 142992 143289 148596 149877 153584 154908 160979 161528 162864 166824 171288 172782 180726 181719 183976 184464 187677 190008 191052 198128 199836 201579 206544 206973 213759 214488 222894 230376 232362 240968 242292 244296 249574 250236 254736 256932 259173 262483 262657 263088 266448 268772 271089 275964 276696 282674 285012 286578 297192 299754 309816 321958 323056 333648 334341 342576 345564 348543 361452 363438 367952 374361 375354 380016 382104 399672 403158 413946 424011 427518 428976 445788 449631 460752 464724 481936 482937 484584 488592 499148 500472 513864 518346 524966 525314 537544 542178 545157 551928 553392 565348 570024 573156 585539 594384 599508 604737 619632 620919 643916 668682 691128 697086 722904 726876 748722 750708 764208 777519 787449 787971 799344 806316 813267 827892 848022 855036 873509 891576 899262 929448 965874 969168 998296 1000944 1003023 1027728 1036692 1049932 1050628 1075088 1084356 1090314 1103856 1123083 1130696 1140048 1146312 1171078 1199016 1209474 1241838 1272033 1287832 1337364 1382256 1394172 1445808 1448811 1453752 1497444 1501416 1555038 1574898 1575942 1612632 1626534 1635471 1655784 1696044 1710072 1747018 1756617 1783152 1798524 1814211 1837381 1838599 1858896 1862757 1931748 1996592 2006046 2073384 2099864 2101256 2168712 2180628 2246166 2261392 2292624 2342156 2362347 2363913 2398032 2418948 2439801 2483676 2544066 2575664 2620527 2674728 2788344 2897622 2907504 2994888 3002832 3110076 3149796 3151884 3225264 3253068 3270942 3311568 3369249 3392088 3414541 3420144 3494036 3513234 3597048 3628422 3674762 3677198 3725514 3816099 3863496 4012092 4098773 4146768 4199728 4202512 4337424 4346433 4361256 4492332 4684312 4724694 4727826 4837896 4879602 4967352 5088132 5241054 5269851 5349456 5442633 5512143 5515797 5576688 5795244 5989776 6220152 6299592 6303768 6506136 6541884 6738498 6784176 6829082 6988072 7026468 7087041 7091739 7194096 7256844 7349524 7354396 7451028 7612007 7617053 7632198 7726992 7861581 8024184 8197546 8692866 8722512 8984664 9368624 9449388 9455652 9675792 9759204 9934704 10107747 10176264 10243623 10482108 10539702 10885266 11024286 11031594 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3998693845198 4009300460172 4129798561434 4152489762321 4215216193776 4306285679444 4343408831853 4566484209924 4719769784496 4963895807832 5126646490056 5309741007558 5345733946896 5506398081912 5536653016428 5584382783811 5718182623524 5791211775804 5998040767797 6013950690258 6088645613232 6194697842151 6459428519166 6849726314886 6873086503152 7079654676744 7382204021904 7445843711748 7624243498032 7721615701072 7828258645584 7997387690396 8018600920344 8259597122868 8304979524642 8612571358888 8686817663706 9132968419848 9689142778749 9927791615664 10253292980112 10619482015116 11012796163824 11073306032856 11168765567622 11436365247048 11582423551608 11996081535594 12027901380516 12389395684302 12457469286963 12918857038332 13030226495559 13699452629772 13995428458193 14159309353488 14891687423496 15994775380792 16037201840688 16519194245736 16609959049284 17225142717776 17373635327412 17994122303391 18265936839696 18584093526453 19378285557498 21238964030232 22146612065712 22337531135244 22872730494096 23164847103216 23992163071188 24055802761032 24778791368604 24914938573926 25837714076664 26060452991118 27398905259544 27990856916386 29067428336247 29783374846992 31989550761584 33038388491472 33219918098568 34747270654824 35988244606782 37168187052906 38756571114996 39090679486677 41986285374579 42477928060464 44675062270488 47984326142376 48111605522064 49557582737208 49829877147852 51675428153328 52120905982236 53982366910173 54797810519088 55981713832772 58134856672494 66439836197136 69494541309648 71976489213564 74336374105812 77513142229992 78181358973354 83972570749158 87202285008741 89350124540976 95968652284752 99115165474416 99659754295704 104241811964472 107964733820346 111963427665544 116269713344988 125958856123737 143952978427128 148672748211624 155026284459984 156362717946708 161947100730519 167945141498316 174404570017482 199319508591408 208483623928944 215929467640692 223926855331088 232539426689976 251917712247474 287905956854256 297345496423248 312725435893416 323894201461038 335890282996632 348809140034964 377876568371211 431858935281384 465078853379952 503835424494948 625450871786832 647788402922076 671780565993264 697618280069928 755753136742422 863717870562768 1007670848989896 1133629705113633 1295576805844152 1395236560139856 1511506273484844 2015341697979792 2267259410227266 2591153611688304 3023012546969688 4534518820454532 6046025093939376 9069037640909064 18138075281818128
- Sum of all divisors σ(n): 68140724642833920
- Sum of proper divisors (its aliquot sum) s(n): 50002649361015792
- 18138075281818128 is an abundant number, because the sum of its proper divisors (50002649361015792) is greater than itself. Its abundance is 31864574079197664
Bases of 18138075281818128
- Binary: 10000000111000001111011101111100001010100000010000100002
- Hexadecimal: 0x40707BBE150210
- Base-36: 4YLESR3KH00
Squares and roots of 18138075281818128
- 18138075281818128 squared (181380752818181282) is 328989774928901763468657269424384
- 18138075281818128 cubed (181380752818181283) is 5967241304608822355031193778750462163571536433152
-
The
square root of 18138075281818128 is 134677671.8012979611 -
The
cube root of 18138075281818128 is 262742.5436297515
Scales and comparisons
How big is 18138075281818128?- 18,138,075,281,818,128 seconds is equal to 576,734,689 years, 10 weeks, 6 days, 21 hours, 28 minutes, 48 seconds.
-
To count from 1 to 18,138,075,281,818,128 would take you about one billion, seven hundred thirty million, two hundred four thousand and sixty-seven 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 18138075281818128 cubic inches would be around 21895.2 feet tall.
Recreational maths with 18138075281818128
- 18138075281818128 backwards is 82181818257083181
- 18138075281818128 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 18138075281818128's digits is 72
- More coming soon!
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"Number 18138075281818128 - Facts about the integer". Numbermatics.com. 2024. Web. 21 September 2024.
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Numbermatics. (2024). Number 18138075281818128 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/18138075281818128/
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The information we have on file for 18138075281818128 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 18138075281818128, math, Factors of 18138075281818128, curriculum, school, college, exams, university, Prime factorization of 18138075281818128, STEM, science, technology, engineering, physics, economics, calculator, eighteen quadrillion, one hundred thirty-eight trillion, seventy-five billion, two hundred eighty-one million, eight hundred eighteen thousand, one hundred twenty-eight.