381133200
381,133,200 is an even composite number composed of six prime numbers multiplied together.
381133200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 381133200:
24 × 3 × 52 × 7 × 172 × 157
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 17 × 17 × 157)See below for interesting mathematical facts about the number 381133200 from the Numbermatics database.
Names of 381133200
- Cardinal: 381133200 can be written as Three hundred eighty-one million, one hundred thirty-three thousand, two hundred.
Scientific notation
- Scientific notation: 3.811332 × 108
Factors of 381133200
Divisors of 381133200
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 34 35 40 42 48 50 51 56 60 68 70 75 80 84 85 100 102 105 112 119 120 136 140 150 157 168 170 175 200 204 210 238 240 255 272 280 289 300 314 336 340 350 357 400 408 420 425 471 476 510 525 560 578 595 600 628 680 700 714 785 816 840 850 867 942 952 1020 1050 1099 1156 1190 1200 1256 1275 1360 1400 1428 1445 1570 1680 1700 1734 1785 1884 1904 2023 2040 2100 2198 2312 2355 2380 2512 2550 2669 2800 2856 2890 2975 3140 3297 3400 3468 3570 3768 3925 4046 4080 4200 4335 4396 4624 4710 4760 5100 5338 5495 5712 5780 5950 6069 6280 6594 6800 6936 7140 7225 7536 7850 8007 8092 8400 8670 8792 8925 9420 9520 10115 10200 10676 10990 11560 11775 11900 12138 12560 13188 13345 13872 14280 14450 15700 16014 16184 16485 17340 17584 17850 18683 18840 20230 20400 21352 21675 21980 23120 23550 23800 24276 26376 26690 27475 28560 28900 30345 31400 32028 32368 32970 34680 35700 37366 37680 40035 40460 42704 43350 43960 45373 47100 47600 48552 50575 52752 53380 54950 56049 57800 60690 62800 64056 65940 66725 69360 71400 74732 80070 80920 82425 86700 87920 90746 93415 94200 97104 101150 106760 109900 112098 115600 121380 128112 131880 133450 136119 142800 149464 151725 160140 161840 164850 173400 181492 186830 188400 200175 202300 213520 219800 224196 226865 242760 263760 266900 272238 280245 298928 303450 317611 320280 329700 346800 362984 373660 400350 404600 439600 448392 453730 467075 485520 533800 544476 560490 606900 635222 640560 659400 680595 725968 747320 800700 809200 896784 907460 934150 952833 1067600 1088952 1120980 1134325 1213800 1270444 1318800 1361190 1401225 1494640 1588055 1601400 1814920 1868300 1905666 2177904 2241960 2268650 2427600 2540888 2722380 2802450 3176110 3202800 3402975 3629840 3736600 3811332 4483920 4537300 4764165 5081776 5444760 5604900 6352220 6805950 7473200 7622664 7940275 9074600 9528330 10889520 11209800 12704440 13611900 15245328 15880550 18149200 19056660 22419600 23820825 25408880 27223800 31761100 38113320 47641650 54447600 63522200 76226640 95283300 127044400 190566600 381133200
- Sum of all divisors σ(n): 1491656512
- Sum of proper divisors (its aliquot sum) s(n): 1110523312
- 381133200 is an abundant number, because the sum of its proper divisors (1110523312) is greater than itself. Its abundance is 729390112
Bases of 381133200
- Binary: 101101011011110100001100100002
- Hexadecimal: 0x16B7A190
- Base-36: 6AX09C
Squares and roots of 381133200
- 381133200 squared (3811332002) is 145262516142240000
- 381133200 cubed (3811332003) is 55364367617343586368000000
-
The
square root of 381133200 is 19522.6330191397 -
The
cube root of 381133200 is 725.0349249921
Scales and comparisons
How big is 381133200?- 381,133,200 seconds is equal to 12 years, 6 weeks, 1 day, 6 hours, 20 minutes.
-
To count from 1 to 381,133,200 would take you about eighteen 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 381133200 cubic inches would be around 60.4 feet tall.
Recreational maths with 381133200
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