189189120
189,189,120 is an even composite number composed of five prime numbers multiplied together.
189189120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred seventy-six divisors.
Prime factorization of 189189120:
210 × 3 × 5 × 109 × 113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 109 × 113)See below for interesting mathematical facts about the number 189189120 from the Numbermatics database.
Names of 189189120
- Cardinal: 189189120 can be written as One hundred eighty-nine million, one hundred eighty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.8918912 × 108
Factors of 189189120
Divisors of 189189120
- Number of divisors d(n): 176
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 113 120 128 160 192 218 226 240 256 320 327 339 384 436 452 480 512 545 565 640 654 678 768 872 904 960 1024 1090 1130 1280 1308 1356 1536 1635 1695 1744 1808 1920 2180 2260 2560 2616 2712 3072 3270 3390 3488 3616 3840 4360 4520 5120 5232 5424 6540 6780 6976 7232 7680 8720 9040 10464 10848 12317 13080 13560 13952 14464 15360 17440 18080 20928 21696 24634 26160 27120 27904 28928 34880 36160 36951 41856 43392 49268 52320 54240 55808 57856 61585 69760 72320 73902 83712 86784 98536 104640 108480 111616 115712 123170 139520 144640 147804 167424 173568 184755 197072 209280 216960 246340 279040 289280 295608 334848 347136 369510 394144 418560 433920 492680 558080 578560 591216 739020 788288 837120 867840 985360 1182432 1478040 1576576 1674240 1735680 1970720 2364864 2956080 3153152 3941440 4729728 5912160 6306304 7882880 9459456 11824320 12612608 15765760 18918912 23648640 31531520 37837824 47297280 63063040 94594560 189189120
- Sum of all divisors σ(n): 616065120
- Sum of proper divisors (its aliquot sum) s(n): 426876000
- 189189120 is an abundant number, because the sum of its proper divisors (426876000) is greater than itself. Its abundance is 237686880
Bases of 189189120
- Binary: 10110100011011001100000000002
- Hexadecimal: 0xB46CC00
- Base-36: 34MZ9C
Squares and roots of 189189120
- 189189120 squared (1891891202) is 35792523126374400
- 189189120 cubed (1891891203) is 6771555952858421526528000
-
The
square root of 189189120 is 13754.6035929793 -
The
cube root of 189189120 is 574.0707055961
Scales and comparisons
How big is 189189120?- 189,189,120 seconds is equal to 6 years, 5 days, 16 hours, 32 minutes.
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To count from 1 to 189,189,120 would take you about nine 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 189189120 cubic inches would be around 47.8 feet tall.
Recreational maths with 189189120
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