134428320
134,428,320 is an even composite number composed of six prime numbers multiplied together.
134428320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 134428320:
25 × 32 × 5 × 13 × 43 × 167
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 43 × 167)See below for interesting mathematical facts about the number 134428320 from the Numbermatics database.
Names of 134428320
- Cardinal: 134428320 can be written as One hundred thirty-four million, four hundred twenty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3442832 × 108
Factors of 134428320
Divisors of 134428320
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 43 45 48 52 60 65 72 78 80 86 90 96 104 117 120 129 130 144 156 160 167 172 180 195 208 215 234 240 258 260 288 312 334 344 360 387 390 416 430 468 480 501 516 520 559 585 624 645 668 688 720 774 780 835 860 936 1002 1032 1040 1118 1170 1248 1290 1336 1376 1440 1503 1548 1560 1670 1677 1720 1872 1935 2004 2064 2080 2171 2236 2340 2505 2580 2672 2795 3006 3096 3120 3340 3354 3440 3744 3870 4008 4128 4342 4472 4680 5010 5031 5160 5344 5590 6012 6192 6240 6513 6680 6708 6880 7181 7515 7740 8016 8385 8684 8944 9360 10020 10062 10320 10855 11180 12024 12384 13026 13360 13416 14362 15030 15480 16032 16770 17368 17888 18720 19539 20040 20124 20640 21543 21710 22360 24048 25155 26052 26720 26832 28724 30060 30960 32565 33540 34736 35905 39078 40080 40248 43086 43420 44720 48096 50310 52104 53664 57448 60120 61920 64629 65130 67080 69472 71810 78156 80160 80496 86172 86840 89440 93353 97695 100620 104208 107715 114896 120240 129258 130260 134160 143620 156312 160992 172344 173680 186706 195390 201240 208416 215430 229792 240480 258516 260520 268320 280059 287240 312624 323145 344688 347360 373412 390780 402480 430860 466765 517032 521040 560118 574480 625248 646290 689376 746824 781560 804960 840177 861720 933530 1034064 1042080 1120236 1148960 1292580 1400295 1493648 1563120 1680354 1723440 1867060 2068128 2240472 2585160 2800590 2987296 3126240 3360708 3446880 3734120 4200885 4480944 5170320 5601180 6721416 7468240 8401770 8961888 10340640 11202360 13442832 14936480 16803540 22404720 26885664 33607080 44809440 67214160 134428320
- Sum of all divisors σ(n): 508540032
- Sum of proper divisors (its aliquot sum) s(n): 374111712
- 134428320 is an abundant number, because the sum of its proper divisors (374111712) is greater than itself. Its abundance is 239683392
Bases of 134428320
- Binary: 10000000001100110110101000002
- Hexadecimal: 0x80336A0
- Base-36: 2819K0
Squares and roots of 134428320
- 134428320 squared (1344283202) is 18070973218022400
- 134428320 cubed (1344283203) is 2429250570463744954368000
-
The
square root of 134428320 is 11594.3227486559 -
The
cube root of 134428320 is 512.2676416447
Scales and comparisons
How big is 134428320?- 134,428,320 seconds is equal to 4 years, 14 weeks, 1 day, 21 hours, 12 minutes.
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To count from 1 to 134,428,320 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 134428320 cubic inches would be around 42.7 feet tall.
Recreational maths with 134428320
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