468131328
468,131,328 is an even composite number composed of five prime numbers multiplied together.
468131328 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 468131328:
29 × 32 × 7 × 23 × 631
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 23 × 631)See below for interesting mathematical facts about the number 468131328 from the Numbermatics database.
Names of 468131328
- Cardinal: 468131328 can be written as Four hundred sixty-eight million, one hundred thirty-one thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 4.68131328 × 108
Factors of 468131328
Divisors of 468131328
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 64 69 72 84 92 96 112 126 128 138 144 161 168 184 192 207 224 252 256 276 288 322 336 368 384 414 448 483 504 512 552 576 631 644 672 736 768 828 896 966 1008 1104 1152 1262 1288 1344 1449 1472 1536 1656 1792 1893 1932 2016 2208 2304 2524 2576 2688 2898 2944 3312 3584 3786 3864 4032 4416 4417 4608 5048 5152 5376 5679 5796 5888 6624 7572 7728 8064 8832 8834 10096 10304 10752 11358 11592 11776 13248 13251 14513 15144 15456 16128 17664 17668 20192 20608 22716 23184 26496 26502 29026 30288 30912 32256 35328 35336 39753 40384 41216 43539 45432 46368 52992 53004 58052 60576 61824 70672 79506 80768 82432 87078 90864 92736 101591 105984 106008 116104 121152 123648 130617 141344 159012 161536 174156 181728 185472 203182 212016 232208 242304 247296 261234 282688 304773 318024 323072 348312 363456 370944 406364 424032 464416 484608 522468 565376 609546 636048 696624 726912 741888 812728 848064 914319 928832 969216 1044936 1130752 1219092 1272096 1393248 1453824 1625456 1696128 1828638 1857664 2089872 2261504 2438184 2544192 2786496 2907648 3250912 3392256 3657276 3715328 4179744 4876368 5088384 5572992 6501824 6784512 7314552 7430656 8359488 9752736 10176768 11145984 13003648 14629104 16718976 19505472 20353536 22291968 26007296 29258208 33437952 39010944 52014592 58516416 66875904 78021888 117032832 156043776 234065664 468131328
- Sum of all divisors σ(n): 1613753856
- Sum of proper divisors (its aliquot sum) s(n): 1145622528
- 468131328 is an abundant number, because the sum of its proper divisors (1145622528) is greater than itself. Its abundance is 677491200
Bases of 468131328
- Binary: 110111110011100011110000000002
- Hexadecimal: 0x1BE71E00
- Base-36: 7QPOG0
Squares and roots of 468131328
- 468131328 squared (4681313282) is 219146940255043584
- 468131328 cubed (4681313283) is 102589548168730211675799552
-
The
square root of 468131328 is 21636.3427593481 -
The
cube root of 468131328 is 776.4662235373
Scales and comparisons
How big is 468131328?- 468,131,328 seconds is equal to 14 years, 46 weeks, 4 hours, 28 minutes, 48 seconds.
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To count from 1 to 468,131,328 would take you about twenty-two 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 468131328 cubic inches would be around 64.7 feet tall.
Recreational maths with 468131328
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