137204320
137,204,320 is an even composite number composed of five prime numbers multiplied together.
137204320 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 137204320:
25 × 5 × 112 × 19 × 373
(2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 19 × 373)See below for interesting mathematical facts about the number 137204320 from the Numbermatics database.
Names of 137204320
- Cardinal: 137204320 can be written as One hundred thirty-seven million, two hundred four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3720432 × 108
Factors of 137204320
Divisors of 137204320
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 76 80 88 95 110 121 152 160 176 190 209 220 242 304 352 373 380 418 440 484 605 608 746 760 836 880 968 1045 1210 1492 1520 1672 1760 1865 1936 2090 2299 2420 2984 3040 3344 3730 3872 4103 4180 4598 4840 5968 6688 7087 7460 8206 8360 9196 9680 11495 11936 14174 14920 16412 16720 18392 19360 20515 22990 28348 29840 32824 33440 35435 36784 41030 45133 45980 56696 59680 65648 70870 73568 77957 82060 90266 91960 113392 131296 141740 155914 164120 180532 183920 225665 226784 283480 311828 328240 361064 367840 389785 451330 566960 623656 656480 722128 779570 857527 902660 1133920 1247312 1444256 1559140 1715054 1805320 2494624 3118280 3430108 3610640 4287635 6236560 6860216 7221280 8575270 12473120 13720432 17150540 27440864 34301080 68602160 137204320
- Sum of all divisors σ(n): 376049520
- Sum of proper divisors (its aliquot sum) s(n): 238845200
- 137204320 is an abundant number, because the sum of its proper divisors (238845200) is greater than itself. Its abundance is 101640880
Bases of 137204320
- Binary: 10000010110110010010011000002
- Hexadecimal: 0x82D9260
- Base-36: 29ORJ4
Squares and roots of 137204320
- 137204320 squared (1372043202) is 18825025426662400
- 137204320 cubed (1372043203) is 2582874812647924461568000
-
The
square root of 137204320 is 11713.4247767251 -
The
cube root of 137204320 is 515.7698230237
Scales and comparisons
How big is 137204320?- 137,204,320 seconds is equal to 4 years, 18 weeks, 6 days, 18 minutes, 40 seconds.
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To count from 1 to 137,204,320 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 137204320 cubic inches would be around 43 feet tall.
Recreational maths with 137204320
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