137664384
137,664,384 is an even composite number composed of six prime numbers multiplied together.
137664384 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 137664384:
27 × 3 × 11 × 13 × 23 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 23 × 109)See below for interesting mathematical facts about the number 137664384 from the Numbermatics database.
Names of 137664384
- Cardinal: 137664384 can be written as One hundred thirty-seven million, six hundred sixty-four thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.37664384 × 108
Factors of 137664384
Divisors of 137664384
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 23 24 26 32 33 39 44 46 48 52 64 66 69 78 88 92 96 104 109 128 132 138 143 156 176 184 192 208 218 253 264 276 286 299 312 327 352 368 384 416 429 436 506 528 552 572 598 624 654 704 736 759 832 858 872 897 1012 1056 1104 1144 1196 1199 1248 1308 1408 1417 1472 1518 1664 1716 1744 1794 2024 2112 2208 2288 2392 2398 2496 2507 2616 2834 2944 3036 3289 3432 3488 3588 3597 4048 4224 4251 4416 4576 4784 4796 4992 5014 5232 5668 6072 6578 6864 6976 7176 7194 7521 8096 8502 8832 9152 9568 9592 9867 10028 10464 11336 12144 13156 13728 13952 14352 14388 15042 15587 16192 17004 18304 19136 19184 19734 20056 20928 22672 24288 26312 27456 27577 28704 28776 30084 31174 32384 32591 34008 38272 38368 39468 40112 41856 45344 46761 48576 52624 54912 55154 57408 57552 60168 62348 65182 68016 76736 78936 80224 82731 90688 93522 97152 97773 105248 110308 114816 115104 120336 124696 130364 136032 153472 157872 160448 165462 181376 187044 195546 210496 220616 230208 240672 249392 260728 272064 315744 320896 330924 358501 374088 391092 420992 441232 460416 481344 498784 521456 544128 631488 661848 717002 748176 782184 882464 962688 997568 1042912 1075503 1262976 1323696 1434004 1496352 1564368 1764928 1995136 2085824 2151006 2647392 2868008 2992704 3128736 3529856 4171648 4302012 5294784 5736016 5985408 6257472 8604024 10589568 11472032 12514944 17208048 22944064 34416096 45888128 68832192 137664384
- Sum of all divisors σ(n): 452390400
- Sum of proper divisors (its aliquot sum) s(n): 314726016
- 137664384 is an abundant number, because the sum of its proper divisors (314726016) is greater than itself. Its abundance is 177061632
Bases of 137664384
- Binary: 10000011010010010111100000002
- Hexadecimal: 0x8349780
- Base-36: 29YMIO
Squares and roots of 137664384
- 137664384 squared (1376643842) is 18951482622099456
- 137664384 cubed (1376643843) is 2608944181058026396975104
-
The
square root of 137664384 is 11733.0466631647 -
The
cube root of 137664384 is 516.3456610695
Scales and comparisons
How big is 137664384?- 137,664,384 seconds is equal to 4 years, 19 weeks, 4 days, 8 hours, 6 minutes, 24 seconds.
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To count from 1 to 137,664,384 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 137664384 cubic inches would be around 43 feet tall.
Recreational maths with 137664384
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