42153120
42,153,120 is an even composite number composed of five prime numbers multiplied together.
42153120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 42153120:
25 × 32 × 5 × 73 × 401
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 73 × 401)See below for interesting mathematical facts about the number 42153120 from the Numbermatics database.
Names of 42153120
- Cardinal: 42153120 can be written as Forty-two million, one hundred fifty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.215312 × 107
Factors of 42153120
Divisors of 42153120
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 73 80 90 96 120 144 146 160 180 219 240 288 292 360 365 401 438 480 584 657 720 730 802 876 1095 1168 1203 1314 1440 1460 1604 1752 2005 2190 2336 2406 2628 2920 3208 3285 3504 3609 4010 4380 4812 5256 5840 6015 6416 6570 7008 7218 8020 8760 9624 10512 11680 12030 12832 13140 14436 16040 17520 18045 19248 21024 24060 26280 28872 29273 32080 35040 36090 38496 48120 52560 57744 58546 64160 72180 87819 96240 105120 115488 117092 144360 146365 175638 192480 234184 263457 288720 292730 351276 439095 468368 526914 577440 585460 702552 878190 936736 1053828 1170920 1317285 1405104 1756380 2107656 2341840 2634570 2810208 3512760 4215312 4683680 5269140 7025520 8430624 10538280 14051040 21076560 42153120
- Sum of all divisors σ(n): 146181672
- Sum of proper divisors (its aliquot sum) s(n): 104028552
- 42153120 is an abundant number, because the sum of its proper divisors (104028552) is greater than itself. Its abundance is 61875432
Bases of 42153120
- Binary: 101000001100110100101000002
- Hexadecimal: 0x28334A0
- Base-36: P3HK0
Squares and roots of 42153120
- 42153120 squared (421531202) is 1776885525734400
- 42153120 cubed (421531203) is 74901268792545251328000
-
The
square root of 42153120 is 6492.5434153343 -
The
cube root of 42153120 is 348.0245721849
Scales and comparisons
How big is 42153120?- 42,153,120 seconds is equal to 1 year, 17 weeks, 4 days, 21 hours, 12 minutes.
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To count from 1 to 42,153,120 would take you about two 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 42153120 cubic inches would be around 29 feet tall.
Recreational maths with 42153120
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