468438997523328
468,438,997,523,328 is an even composite number composed of five prime numbers multiplied together.
468438997523328 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 468438997523328:
27 × 36 × 132 × 413 × 431
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 41 × 41 × 41 × 431)See below for interesting mathematical facts about the number 468438997523328 from the Numbermatics database.
Names of 468438997523328
- Cardinal: 468438997523328 can be written as Four hundred sixty-eight trillion, four hundred thirty-eight billion, nine hundred ninety-seven million, five hundred twenty-three thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 4.68438997523328 × 1014
Factors of 468438997523328
Divisors of 468438997523328
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 41 48 52 54 64 72 78 81 82 96 104 108 117 123 128 144 156 162 164 169 192 208 216 234 243 246 288 312 324 328 338 351 369 384 416 431 432 468 486 492 507 533 576 624 648 656 676 702 729 738 832 862 864 936 972 984 1014 1053 1066 1107 1152 1248 1293 1296 1312 1352 1404 1458 1476 1521 1599 1664 1681 1724 1728 1872 1944 1968 2028 2106 2132 2214 2496 2586 2592 2624 2704 2808 2916 2952 3042 3159 3198 3321 3362 3448 3456 3744 3879 3888 3936 4056 4212 4264 4428 4563 4797 4992 5043 5172 5184 5248 5408 5603 5616 5832 5904 6084 6318 6396 6642 6724 6896 6929 7488 7758 7776 7872 8112 8424 8528 8856 9126 9477 9594 9963 10086 10344 10368 10816 11206 11232 11637 11664 11808 12168 12636 12792 13284 13448 13689 13792 13858 14391 14976 15129 15516 15552 15744 16224 16809 16848 17056 17671 17712 18252 18954 19188 19926 20172 20688 20787 21632 21853 22412 22464 23274 23328 23616 24336 25272 25584 26568 26896 27378 27584 27716 28782 29889 30258 31032 31104 32448 33618 33696 34112 34911 35342 35424 36504 37908 38376 39852 40344 41067 41376 41574 43173 43706 44824 44928 45387 46548 46656 47232 48672 50427 50544 51168 53013 53136 53792 54756 55168 55432 57564 59778 60516 62064 62361 64896 65559 67236 67392 68224 68921 69822 70684 70848 72839 73008 75816 76752 79704 80688 82134 82752 83148 86346 87412 89648 90774 93096 93312 97344 100854 101088 102336 104733 106026 106272 107584 109512 110864 115128 119556 121032 123201 124128 124722 129519 131118 134472 134784 136161 137842 139644 141368 141696 145678 146016 151281 151632 153504 159039 159408 161376 164268 165504 166296 172692 174824 179296 181548 186192 187083 194688 196677 201708 202176 204672 206763 209466 212052 212544 215168 218517 219024 221728 229723 230256 239112 242064 246402 248256 249444 259038 262236 268944 272322 275684 279288 282736 284089 291356 292032 302562 303264 307008 314199 318078 318816 322752 328536 332592 345384 349648 358592 363096 372384 374166 388557 393354 403416 404352 408483 413526 418932 424104 425088 437034 438048 443456 453843 459446 460512 477117 478224 484128 492804 496512 498888 518076 524472 537888 544644 551368 558576 561249 565472 568178 582712 584064 590031 605124 606528 614016 620289 628398 636156 637632 645504 655551 657072 665184 689169 690768 699296 717184 724511 726192 744768 748332 777114 786708 806832 816966 827052 837864 848208 852267 874068 876096 886912 895973 907686 918892 921024 954234 956448 968256 985608 997776 1036152 1048944 1075776 1089288 1102736 1117152 1122498 1130944 1136356 1165424 1180062 1210248 1213056 1225449 1240578 1256796 1272312 1275264 1311102 1314144 1330368 1361529 1378338 1381536 1398592 1431351 1449022 1452384 1489536 1496664 1554228 1573416 1613664 1633932 1654104 1675728 1683747 1696416 1704534 1748136 1752192 1770093 1791946 1815372 1837784 1842048 1860867 1908468 1912896 1936512 1966653 1971216 1995552 2067507 2072304 2097888 2151552 2173533 2178576 2205472 2234304 2244996 2261888 2272712 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692957096928 714083837688 722899687536 750703521672 813262148478 878872415616 923942795904 952111783584 963866250048 1000938028896 1084349531304 1086865423488 1126055282508 1219893222717 1269482378112 1334584038528 1385914193856 1428167675376 1445799375072 1501407043344 1626524296956 1904223567168 1927732500096 2001876057792 2168699062608 2252110565016 2439786445434 2771828387712 2856335350752 2891598750144 3002814086688 3253048593912 3659679668151 3808447134336 4003752115584 4337398125216 4504221130032 4879572890868 5712670701504 5783197500288 6005628173376 6506097187824 7319359336302 8674796250432 9008442260064 9759145781736 11425341403008 12011256346752 13012194375648 14638718672604 17349592500864 18016884520128 19518291563472 26024388751296 29277437345208 36033769040256 39036583126944 52048777502592 58554874690416 78073166253888 117109749380832 156146332507776 234219498761664 468438997523328
- Sum of all divisors σ(n): 1556576468717760
- Sum of proper divisors (its aliquot sum) s(n): 1088137471194432
- 468438997523328 is an abundant number, because the sum of its proper divisors (1088137471194432) is greater than itself. Its abundance is 619698473671104
Bases of 468438997523328
- Binary: 11010101000001010111101000000101111011011100000002
- Hexadecimal: 0x1AA0AF40BDB80
- Base-36: 4M1PWKE000
Squares and roots of 468438997523328
- 468438997523328 squared (4684389975233282) is 219435094400660496117904195584
- 468438997523328 cubed (4684389975233283) is 102791955642482248021502291233851356114583552
-
The
square root of 468438997523328 is 21643451.6083578499 -
The
cube root of 468438997523328 is 77663.6291679455
Scales and comparisons
How big is 468438997523328?- 468,438,997,523,328 seconds is equal to 14,894,911 years, 7 weeks, 3 days, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 468,438,997,523,328 would take you about thirty-seven million, two hundred thirty-seven thousand, two hundred seventy-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 468438997523328 cubic inches would be around 6472 feet tall.
Recreational maths with 468438997523328
- 468438997523328 backwards is 823325799834864
- 468438997523328 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 468438997523328's digits is 81
- More coming soon!
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"Number 468438997523328 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 468438997523328 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/468438997523328/
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The information we have on file for 468438997523328 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 468438997523328, math, Factors of 468438997523328, curriculum, school, college, exams, university, Prime factorization of 468438997523328, STEM, science, technology, engineering, physics, economics, calculator, four hundred sixty-eight trillion, four hundred thirty-eight billion, nine hundred ninety-seven million, five hundred twenty-three thousand, three hundred twenty-eight.