480961152
480,961,152 is an even composite number composed of four prime numbers multiplied together.
480961152 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 480961152:
27 × 35 × 7 × 472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 47 × 47)See below for interesting mathematical facts about the number 480961152 from the Numbermatics database.
Names of 480961152
- Cardinal: 480961152 can be written as Four hundred eighty million, nine hundred sixty-one thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 4.80961152 × 108
Factors of 480961152
Divisors of 480961152
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 47 48 54 56 63 64 72 81 84 94 96 108 112 126 128 141 144 162 168 188 189 192 216 224 243 252 282 288 324 329 336 376 378 384 423 432 448 486 504 564 567 576 648 658 672 752 756 846 864 896 972 987 1008 1128 1134 1152 1269 1296 1316 1344 1504 1512 1692 1701 1728 1944 1974 2016 2209 2256 2268 2538 2592 2632 2688 2961 3008 3024 3384 3402 3456 3807 3888 3948 4032 4418 4512 4536 5076 5184 5264 5922 6016 6048 6627 6768 6804 7614 7776 7896 8064 8836 8883 9024 9072 10152 10368 10528 11421 11844 12096 13254 13536 13608 15228 15463 15552 15792 17672 17766 18048 18144 19881 20304 21056 22842 23688 24192 26508 26649 27072 27216 30456 30926 31104 31584 35344 35532 36288 39762 40608 42112 45684 46389 47376 53016 53298 54144 54432 59643 60912 61852 63168 70688 71064 72576 79524 79947 81216 91368 92778 94752 106032 106596 108864 119286 121824 123704 126336 139167 141376 142128 159048 159894 162432 178929 182736 185556 189504 212064 213192 217728 238572 243648 247408 278334 282752 284256 318096 319788 357858 365472 371112 379008 417501 424128 426384 477144 487296 494816 536787 556668 568512 636192 639576 715716 730944 742224 835002 848256 852768 954288 989632 1073574 1113336 1137024 1252503 1272384 1279152 1431432 1461888 1484448 1670004 1705536 1908576 1979264 2147148 2226672 2505006 2544768 2558304 2862864 2968896 3340008 3411072 3757509 3817152 4294296 4453344 5010012 5116608 5725728 5937792 6680016 7515018 7634304 8588592 8906688 10020024 10233216 11451456 13360032 15030036 17177184 17813376 20040048 22902912 26720064 30060072 34354368 40080096 53440128 60120144 68708736 80160192 120240288 160320384 240480576 480961152
- Sum of all divisors σ(n): 1675957920
- Sum of proper divisors (its aliquot sum) s(n): 1194996768
- 480961152 is an abundant number, because the sum of its proper divisors (1194996768) is greater than itself. Its abundance is 714035616
Bases of 480961152
- Binary: 111001010101011100010100000002
- Hexadecimal: 0x1CAAE280
- Base-36: 7YCO00
Squares and roots of 480961152
- 480961152 squared (4809611522) is 231323629733167104
- 480961152 cubed (4809611523) is 111257679441285502948343808
-
The
square root of 480961152 is 21930.8265234123 -
The
cube root of 480961152 is 783.4957885283
Scales and comparisons
How big is 480961152?- 480,961,152 seconds is equal to 15 years, 15 weeks, 1 day, 16 hours, 19 minutes, 12 seconds.
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To count from 1 to 480,961,152 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 480961152 cubic inches would be around 65.3 feet tall.
Recreational maths with 480961152
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