164301312
164,301,312 is an even composite number composed of five prime numbers multiplied together.
164301312 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 164301312:
29 × 3 × 72 × 37 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 37 × 59)See below for interesting mathematical facts about the number 164301312 from the Numbermatics database.
Names of 164301312
- Cardinal: 164301312 can be written as One hundred sixty-four million, three hundred one thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.64301312 × 108
Factors of 164301312
Divisors of 164301312
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 49 56 59 64 74 84 96 98 111 112 118 128 147 148 168 177 192 196 222 224 236 256 259 294 296 336 354 384 392 413 444 448 472 512 518 588 592 672 708 768 777 784 826 888 896 944 1036 1176 1184 1239 1344 1416 1536 1554 1568 1652 1776 1792 1813 1888 2072 2183 2352 2368 2478 2688 2832 2891 3108 3136 3304 3552 3584 3626 3776 4144 4366 4704 4736 4956 5376 5439 5664 5782 6216 6272 6549 6608 7104 7252 7552 8288 8673 8732 9408 9472 9912 10752 10878 11328 11564 12432 12544 13098 13216 14208 14504 15104 15281 16576 17346 17464 18816 18944 19824 21756 22656 23128 24864 25088 26196 26432 28416 29008 30208 30562 33152 34692 34928 37632 39648 43512 45312 45843 46256 49728 52392 52864 56832 58016 61124 66304 69384 69856 75264 79296 87024 90624 91686 92512 99456 104784 105728 106967 116032 122248 132608 138768 139712 158592 174048 183372 185024 198912 209568 211456 213934 232064 244496 277536 279424 317184 320901 348096 366744 370048 397824 419136 427868 464128 488992 555072 558848 634368 641802 696192 733488 740096 838272 855736 928256 977984 1110144 1117696 1283604 1392384 1466976 1480192 1676544 1711472 1955968 2220288 2567208 2784768 2933952 3353088 3422944 3911936 4440576 5134416 5867904 6845888 7823872 10268832 11735808 13691776 20537664 23471616 27383552 41075328 54767104 82150656 164301312
- Sum of all divisors σ(n): 531796320
- Sum of proper divisors (its aliquot sum) s(n): 367495008
- 164301312 is an abundant number, because the sum of its proper divisors (367495008) is greater than itself. Its abundance is 203193696
Bases of 164301312
- Binary: 10011100101100001010000000002
- Hexadecimal: 0x9CB0A00
- Base-36: 2PTJPC
Squares and roots of 164301312
- 164301312 squared (1643013122) is 26994921124921344
- 164301312 cubed (1643013123) is 4435300958161092716003328
-
The
square root of 164301312 is 12818.0073334351 -
The
cube root of 164301312 is 547.7053844651
Scales and comparisons
How big is 164301312?- 164,301,312 seconds is equal to 5 years, 11 weeks, 4 days, 15 hours, 15 minutes, 12 seconds.
-
To count from 1 to 164,301,312 would take you about seven 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 164301312 cubic inches would be around 45.6 feet tall.
Recreational maths with 164301312
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