480061152
480,061,152 is an even composite number composed of four prime numbers multiplied together.
480061152 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 480061152:
25 × 32 × 233 × 137
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 23 × 23 × 23 × 137)See below for interesting mathematical facts about the number 480061152 from the Numbermatics database.
Names of 480061152
- Cardinal: 480061152 can be written as Four hundred eighty million, sixty-one thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 4.80061152 × 108
Factors of 480061152
Divisors of 480061152
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 137 138 144 184 207 274 276 288 368 411 414 529 548 552 736 822 828 1058 1096 1104 1233 1587 1644 1656 2116 2192 2208 2466 3151 3174 3288 3312 4232 4384 4761 4932 6302 6348 6576 6624 8464 9453 9522 9864 12167 12604 12696 13152 16928 18906 19044 19728 24334 25208 25392 28359 36501 37812 38088 39456 48668 50416 50784 56718 72473 73002 75624 76176 97336 100832 109503 113436 144946 146004 151248 152352 194672 217419 219006 226872 289892 292008 302496 389344 434838 438012 453744 579784 584016 652257 869676 876024 907488 1159568 1168032 1304514 1666879 1739352 1752048 2319136 2609028 3333758 3478704 3504096 5000637 5218056 6667516 6957408 10001274 10436112 13335032 15001911 20002548 20872224 26670064 30003822 40005096 53340128 60007644 80010192 120015288 160020384 240030576 480061152
- Sum of all divisors σ(n): 1437639840
- Sum of proper divisors (its aliquot sum) s(n): 957578688
- 480061152 is an abundant number, because the sum of its proper divisors (957578688) is greater than itself. Its abundance is 477517536
Bases of 480061152
- Binary: 111001001110100100110111000002
- Hexadecimal: 0x1C9D26E0
- Base-36: 7XTDK0
Squares and roots of 480061152
- 480061152 squared (4800611522) is 230458709659567104
- 480061152 cubed (4800611523) is 110634273647605311767543808
-
The
square root of 480061152 is 21910.2978528363 -
The
cube root of 480061152 is 783.0067770977
Scales and comparisons
How big is 480061152?- 480,061,152 seconds is equal to 15 years, 13 weeks, 5 days, 6 hours, 19 minutes, 12 seconds.
-
To count from 1 to 480,061,152 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 480061152 cubic inches would be around 65.3 feet tall.
Recreational maths with 480061152
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