137738952
137,738,952 is an even composite number composed of six prime numbers multiplied together.
137738952 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 137738952:
23 × 32 × 13 × 31 × 47 × 101
(2 × 2 × 2 × 3 × 3 × 13 × 31 × 47 × 101)See below for interesting mathematical facts about the number 137738952 from the Numbermatics database.
Names of 137738952
- Cardinal: 137738952 can be written as One hundred thirty-seven million, seven hundred thirty-eight thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 1.37738952 × 108
Factors of 137738952
Divisors of 137738952
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 47 52 62 72 78 93 94 101 104 117 124 141 156 186 188 202 234 248 279 282 303 312 372 376 403 404 423 468 558 564 606 611 744 806 808 846 909 936 1116 1128 1209 1212 1222 1313 1457 1612 1692 1818 1833 2232 2418 2424 2444 2626 2914 3131 3224 3384 3627 3636 3666 3939 4371 4747 4836 4888 5252 5499 5828 6262 7254 7272 7332 7878 8742 9393 9494 9672 10504 10998 11656 11817 12524 13113 14241 14508 14664 15756 17484 18786 18941 18988 21996 23634 25048 26226 28179 28482 29016 31512 34968 37572 37882 37976 40703 42723 43992 47268 52452 56358 56823 56964 61711 75144 75764 81406 85446 94536 104904 112716 113646 113928 122109 123422 147157 151528 162812 170469 170892 185133 225432 227292 244218 246844 294314 325624 340938 341784 366327 370266 441471 454584 488436 493688 555399 588628 681876 732654 740532 882942 976872 1110798 1177256 1324413 1363752 1465308 1481064 1765884 1913041 2221596 2648826 2930616 3531768 3826082 4443192 5297652 5739123 7652164 10595304 11478246 15304328 17217369 22956492 34434738 45912984 68869476 137738952
- Sum of all divisors σ(n): 427714560
- Sum of proper divisors (its aliquot sum) s(n): 289975608
- 137738952 is an abundant number, because the sum of its proper divisors (289975608) is greater than itself. Its abundance is 152236656
Bases of 137738952
- Binary: 10000011010110111010110010002
- Hexadecimal: 0x835BAC8
- Base-36: 2A0820
Squares and roots of 137738952
- 137738952 squared (1377389522) is 18972018898058304
- 137738952 cubed (1377389523) is 2613186000342745627857408
-
The
square root of 137738952 is 11736.2239242441 -
The
cube root of 137738952 is 516.4388730593
Scales and comparisons
How big is 137738952?- 137,738,952 seconds is equal to 4 years, 19 weeks, 5 days, 4 hours, 49 minutes, 12 seconds.
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To count from 1 to 137,738,952 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 137738952 cubic inches would be around 43 feet tall.
Recreational maths with 137738952
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