144132480
144,132,480 is an even composite number composed of five prime numbers multiplied together.
144132480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 144132480:
27 × 33 × 5 × 19 × 439
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 19 × 439)See below for interesting mathematical facts about the number 144132480 from the Numbermatics database.
Names of 144132480
- Cardinal: 144132480 can be written as One hundred forty-four million, one hundred thirty-two thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.4413248 × 108
Factors of 144132480
Divisors of 144132480
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 32 36 38 40 45 48 54 57 60 64 72 76 80 90 95 96 108 114 120 128 135 144 152 160 171 180 190 192 216 228 240 270 285 288 304 320 342 360 380 384 432 439 456 480 513 540 570 576 608 640 684 720 760 855 864 878 912 960 1026 1080 1140 1152 1216 1317 1368 1440 1520 1710 1728 1756 1824 1920 2052 2160 2195 2280 2432 2565 2634 2736 2880 3040 3420 3456 3512 3648 3951 4104 4320 4390 4560 5130 5268 5472 5760 6080 6585 6840 7024 7296 7902 8208 8341 8640 8780 9120 10260 10536 10944 11853 12160 13170 13680 14048 15804 16416 16682 17280 17560 18240 19755 20520 21072 21888 23706 25023 26340 27360 28096 31608 32832 33364 35120 36480 39510 41040 41705 42144 47412 50046 52680 54720 56192 59265 63216 65664 66728 70240 75069 79020 82080 83410 84288 94824 100092 105360 109440 118530 125115 126432 133456 140480 150138 158040 164160 166820 168576 189648 200184 210720 225207 237060 250230 252864 266912 280960 300276 316080 328320 333640 375345 379296 400368 421440 450414 474120 500460 505728 533824 600552 632160 667280 750690 758592 800736 842880 900828 948240 1000920 1067648 1126035 1201104 1264320 1334560 1501380 1517184 1601472 1801656 1896480 2001840 2252070 2402208 2528640 2669120 3002760 3202944 3603312 3792960 4003680 4504140 4804416 5338240 6005520 7206624 7585920 8007360 9008280 9608832 12011040 14413248 16014720 18016560 24022080 28826496 36033120 48044160 72066240 144132480
- Sum of all divisors σ(n): 538560000
- Sum of proper divisors (its aliquot sum) s(n): 394427520
- 144132480 is an abundant number, because the sum of its proper divisors (394427520) is greater than itself. Its abundance is 250295040
Bases of 144132480
- Binary: 10001001011101001001100000002
- Hexadecimal: 0x8974980
- Base-36: 2DT9C0
Squares and roots of 144132480
- 144132480 squared (1441324802) is 20774171790950400
- 144132480 cubed (1441324803) is 2994232900175722708992000
-
The
square root of 144132480 is 12005.5187309837 -
The
cube root of 144132480 is 524.3089683793
Scales and comparisons
How big is 144132480?- 144,132,480 seconds is equal to 4 years, 30 weeks, 2 days, 4 hours, 48 minutes.
-
To count from 1 to 144,132,480 would take you about six 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 144132480 cubic inches would be around 43.7 feet tall.
Recreational maths with 144132480
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