490914144
490,914,144 is an even composite number composed of five prime numbers multiplied together.
490914144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 490914144:
25 × 32 × 72 × 43 × 809
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 43 × 809)See below for interesting mathematical facts about the number 490914144 from the Numbermatics database.
Names of 490914144
- Cardinal: 490914144 can be written as Four hundred ninety million, nine hundred fourteen thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.90914144 × 108
Factors of 490914144
Divisors of 490914144
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 43 48 49 56 63 72 84 86 96 98 112 126 129 144 147 168 172 196 224 252 258 288 294 301 336 344 387 392 441 504 516 588 602 672 688 774 784 809 882 903 1008 1032 1176 1204 1376 1548 1568 1618 1764 1806 2016 2064 2107 2352 2408 2427 2709 3096 3236 3528 3612 4128 4214 4704 4816 4854 5418 5663 6192 6321 6472 7056 7224 7281 8428 9632 9708 10836 11326 12384 12642 12944 14112 14448 14562 16856 16989 18963 19416 21672 22652 25284 25888 28896 29124 33712 33978 34787 37926 38832 39641 43344 45304 50568 50967 58248 67424 67956 69574 75852 77664 79282 86688 90608 101136 101934 104361 116496 118923 135912 139148 151704 158564 181216 202272 203868 208722 232992 237846 243509 271824 278296 303408 313083 317128 356769 407736 417444 475692 487018 543648 556592 606816 626166 634256 713538 730527 815472 834888 951384 974036 1113184 1252332 1268512 1427076 1461054 1630944 1669776 1704563 1902768 1948072 2191581 2504664 2854152 2922108 3339552 3409126 3805536 3896144 4383162 5009328 5113689 5708304 5844216 6818252 7792288 8766324 10018656 10227378 11416608 11688432 13636504 15341067 17532648 20454756 23376864 27273008 30682134 35065296 40909512 54546016 61364268 70130592 81819024 122728536 163638048 245457072 490914144
- Sum of all divisors σ(n): 1663782120
- Sum of proper divisors (its aliquot sum) s(n): 1172867976
- 490914144 is an abundant number, because the sum of its proper divisors (1172867976) is greater than itself. Its abundance is 681953832
Bases of 490914144
- Binary: 111010100001011000001011000002
- Hexadecimal: 0x1D42C160
- Base-36: 849ZS0
Squares and roots of 490914144
- 490914144 squared (4909141442) is 240996696779252736
- 490914144 cubed (4909141443) is 118308687106214413853097984
-
The
square root of 490914144 is 22156.5824079437 -
The
cube root of 490914144 is 788.8634749585
Scales and comparisons
How big is 490914144?- 490,914,144 seconds is equal to 15 years, 31 weeks, 4 days, 21 hours, 2 minutes, 24 seconds.
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To count from 1 to 490,914,144 would take you about twenty-three 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 490914144 cubic inches would be around 65.7 feet tall.
Recreational maths with 490914144
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