138328200
138,328,200 is an even composite number composed of six prime numbers multiplied together.
138328200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138328200:
23 × 32 × 52 × 31 × 37 × 67
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 31 × 37 × 67)See below for interesting mathematical facts about the number 138328200 from the Numbermatics database.
Names of 138328200
- Cardinal: 138328200 can be written as One hundred thirty-eight million, three hundred twenty-eight thousand, two hundred.
Scientific notation
- Scientific notation: 1.383282 × 108
Factors of 138328200
Divisors of 138328200
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 31 36 37 40 45 50 60 62 67 72 74 75 90 93 100 111 120 124 134 148 150 155 180 185 186 200 201 222 225 248 268 279 296 300 310 333 335 360 370 372 402 444 450 465 536 555 558 600 603 620 666 670 740 744 775 804 888 900 925 930 1005 1110 1116 1147 1206 1240 1332 1340 1395 1480 1550 1608 1665 1675 1800 1850 1860 2010 2077 2220 2232 2294 2325 2412 2479 2664 2680 2775 2790 3015 3100 3330 3350 3441 3700 3720 4020 4154 4440 4588 4650 4824 4958 5025 5550 5580 5735 6030 6200 6231 6660 6700 6882 6975 7400 7437 8040 8308 8325 9176 9300 9916 10050 10323 10385 11100 11160 11470 12060 12395 12462 13320 13400 13764 13950 14874 15075 16616 16650 17205 18600 18693 19832 20100 20646 20770 22200 22311 22940 24120 24790 24924 27528 27900 28675 29748 30150 31155 33300 34410 37185 37386 40200 41292 41540 44622 45880 49580 49848 51615 51925 55800 57350 59496 60300 61975 62310 66600 68820 74370 74772 76849 82584 83080 86025 89244 93465 99160 103230 103850 111555 114700 120600 123950 124620 137640 148740 149544 153698 155775 172050 178488 185925 186930 206460 207700 223110 229400 230547 247900 249240 258075 297480 307396 311550 344100 371850 373860 384245 412920 415400 446220 461094 467325 495800 516150 557775 614792 623100 688200 691641 743700 747720 768490 892440 922188 934650 1032300 1115550 1152735 1246200 1383282 1487400 1536980 1844376 1869300 1921225 2064600 2231100 2305470 2766564 3073960 3458205 3738600 3842450 4462200 4610940 5533128 5763675 6916410 7684900 9221880 11527350 13832820 15369800 17291025 23054700 27665640 34582050 46109400 69164100 138328200
- Sum of all divisors σ(n): 499848960
- Sum of proper divisors (its aliquot sum) s(n): 361520760
- 138328200 is an abundant number, because the sum of its proper divisors (361520760) is greater than itself. Its abundance is 223192560
Bases of 138328200
- Binary: 10000011111010111000100010002
- Hexadecimal: 0x83EB888
- Base-36: 2ACUQ0
Squares and roots of 138328200
- 138328200 squared (1383282002) is 19134690915240000
- 138328200 cubed (1383282003) is 2646867351861501768000000
-
The
square root of 138328200 is 11761.3009484495 -
The
cube root of 138328200 is 517.1742681663
Scales and comparisons
How big is 138328200?- 138,328,200 seconds is equal to 4 years, 20 weeks, 5 days, 30 minutes.
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To count from 1 to 138,328,200 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 138328200 cubic inches would be around 43.1 feet tall.
Recreational maths with 138328200
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