342123120
342,123,120 is an even composite number composed of six prime numbers multiplied together.
342123120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 342123120:
24 × 32 × 5 × 19 × 89 × 281
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 19 × 89 × 281)See below for interesting mathematical facts about the number 342123120 from the Numbermatics database.
Names of 342123120
- Cardinal: 342123120 can be written as Three hundred forty-two million, one hundred twenty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 3.4212312 × 108
Factors of 342123120
Divisors of 342123120
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 89 90 95 114 120 144 152 171 178 180 190 228 240 267 281 285 304 342 356 360 380 445 456 534 562 570 684 712 720 760 801 843 855 890 912 1068 1124 1140 1335 1368 1405 1424 1520 1602 1686 1691 1710 1780 2136 2248 2280 2529 2670 2736 2810 3204 3372 3382 3420 3560 4005 4215 4272 4496 4560 5058 5073 5339 5340 5620 6408 6744 6764 6840 7120 8010 8430 8455 10116 10146 10678 10680 11240 12645 12816 13488 13528 13680 15219 16017 16020 16860 16910 20232 20292 21356 21360 22480 25009 25290 25365 26695 27056 30438 32034 32040 33720 33820 40464 40584 42712 48051 50018 50580 50730 53390 60876 64068 64080 67440 67640 75027 76095 80085 81168 85424 96102 100036 101160 101460 106780 121752 125045 128136 135280 150054 152190 160170 192204 200072 202320 202920 213560 225081 240255 243504 250090 256272 300108 304380 320340 375135 384408 400144 405840 427120 450162 475171 480510 500180 600216 608760 640680 750270 768816 900324 950342 961020 1000360 1125405 1200432 1217520 1281360 1425513 1500540 1800648 1900684 1922040 2000720 2250810 2375855 2851026 3001080 3601296 3801368 3844080 4276539 4501620 4751710 5702052 6002160 7127565 7602736 8553078 9003240 9503420 11404104 14255130 17106156 18006480 19006840 21382695 22808208 28510260 34212312 38013680 42765390 57020520 68424624 85530780 114041040 171061560 342123120
- Sum of all divisors σ(n): 1227376800
- Sum of proper divisors (its aliquot sum) s(n): 885253680
- 342123120 is an abundant number, because the sum of its proper divisors (885253680) is greater than itself. Its abundance is 543130560
Bases of 342123120
- Binary: 101000110010001100010011100002
- Hexadecimal: 0x14646270
- Base-36: 5NOVW0
Squares and roots of 342123120
- 342123120 squared (3421231202) is 117048229238534400
- 342123120 cubed (3421231203) is 40044905377562613155328000
-
The
square root of 342123120 is 18496.5704929319 -
The
cube root of 342123120 is 699.4029739377
Scales and comparisons
How big is 342123120?- 342,123,120 seconds is equal to 10 years, 45 weeks, 4 days, 18 hours, 12 minutes.
-
To count from 1 to 342,123,120 would take you about sixteen 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 342123120 cubic inches would be around 58.3 feet tall.
Recreational maths with 342123120
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