468049920
468,049,920 is an even composite number composed of five prime numbers multiplied together.
468049920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 468049920:
213 × 3 × 5 × 13 × 293
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 293)See below for interesting mathematical facts about the number 468049920 from the Numbermatics database.
Names of 468049920
- Cardinal: 468049920 can be written as Four hundred sixty-eight million, forty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.6804992 × 108
Factors of 468049920
Divisors of 468049920
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 293 312 320 384 390 416 480 512 520 586 624 640 768 780 832 879 960 1024 1040 1172 1248 1280 1465 1536 1560 1664 1758 1920 2048 2080 2344 2496 2560 2930 3072 3120 3328 3516 3809 3840 4096 4160 4395 4688 4992 5120 5860 6144 6240 6656 7032 7618 7680 8192 8320 8790 9376 9984 10240 11427 11720 12288 12480 13312 14064 15236 15360 16640 17580 18752 19045 19968 20480 22854 23440 24576 24960 26624 28128 30472 30720 33280 35160 37504 38090 39936 40960 45708 46880 49920 53248 56256 57135 60944 61440 66560 70320 75008 76180 79872 91416 93760 99840 106496 112512 114270 121888 122880 133120 140640 150016 152360 159744 182832 187520 199680 225024 228540 243776 266240 281280 300032 304720 319488 365664 375040 399360 450048 457080 487552 532480 562560 600064 609440 731328 750080 798720 900096 914160 975104 1125120 1200128 1218880 1462656 1500160 1597440 1800192 1828320 1950208 2250240 2400256 2437760 2925312 3000320 3600384 3656640 3900416 4500480 4875520 5850624 6000640 7200768 7313280 7800832 9000960 9751040 11701248 12001280 14626560 15601664 18001920 19502080 23402496 29253120 31203328 36003840 39004160 46804992 58506240 78008320 93609984 117012480 156016640 234024960 468049920
- Sum of all divisors σ(n): 1618378272
- Sum of proper divisors (its aliquot sum) s(n): 1150328352
- 468049920 is an abundant number, because the sum of its proper divisors (1150328352) is greater than itself. Its abundance is 682278432
Bases of 468049920
- Binary: 110111110010111100000000000002
- Hexadecimal: 0x1BE5E000
- Base-36: 7QNXMO
Squares and roots of 468049920
- 468049920 squared (4680499202) is 219070727612006400
- 468049920 cubed (4680499203) is 102536036533141386559488000
-
The
square root of 468049920 is 21634.4613984263 -
The
cube root of 468049920 is 776.4212117903
Scales and comparisons
How big is 468049920?- 468,049,920 seconds is equal to 14 years, 45 weeks, 6 days, 5 hours, 52 minutes.
-
To count from 1 to 468,049,920 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 468049920 cubic inches would be around 64.7 feet tall.
Recreational maths with 468049920
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