201326400
201,326,400 is an even composite number composed of six prime numbers multiplied together.
201326400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 201326400:
26 × 32 × 52 × 11 × 31 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 31 × 41)See below for interesting mathematical facts about the number 201326400 from the Numbermatics database.
Names of 201326400
- Cardinal: 201326400 can be written as Two hundred one million, three hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 2.013264 × 108
Factors of 201326400
Divisors of 201326400
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 31 32 33 36 40 41 44 45 48 50 55 60 62 64 66 72 75 80 82 88 90 93 96 99 100 110 120 123 124 132 144 150 155 160 164 165 176 180 186 192 198 200 205 220 225 240 246 248 264 275 279 288 300 310 320 328 330 341 352 360 369 372 396 400 410 440 450 451 465 480 492 495 496 528 550 558 576 600 615 620 656 660 682 704 720 738 744 775 792 800 820 825 880 900 902 930 960 984 990 992 1023 1025 1056 1100 1116 1200 1230 1240 1271 1312 1320 1353 1364 1395 1440 1476 1488 1550 1584 1600 1640 1650 1705 1760 1800 1804 1845 1860 1968 1980 1984 2046 2050 2112 2200 2232 2255 2325 2400 2460 2475 2480 2542 2624 2640 2706 2728 2790 2880 2952 2976 3069 3075 3100 3168 3280 3300 3410 3520 3600 3608 3690 3720 3813 3936 3960 4059 4092 4100 4400 4464 4510 4650 4800 4920 4950 4960 5084 5115 5280 5412 5456 5580 5904 5952 6138 6150 6200 6336 6355 6560 6600 6765 6820 6975 7200 7216 7380 7440 7626 7872 7920 8118 8184 8200 8525 8800 8928 9020 9225 9300 9840 9900 9920 10168 10230 10560 10824 10912 11160 11275 11439 11808 12276 12300 12400 12710 13120 13200 13530 13640 13950 13981 14400 14432 14760 14880 15252 15345 15840 16236 16368 16400 17050 17600 17856 18040 18450 18600 19065 19680 19800 20295 20336 20460 21648 21824 22320 22550 22878 23616 24552 24600 24800 25420 25575 26400 27060 27280 27900 27962 28864 29520 29760 30504 30690 31680 31775 32472 32736 32800 33825 34100 36080 36900 37200 38130 39360 39600 40590 40672 40920 41943 43296 44640 45100 45756 49104 49200 49600 50840 51150 52800 54120 54560 55800 55924 57195 59040 61008 61380 63550 64944 65472 65600 67650 68200 69905 72160 73800 74400 76260 76725 79200 81180 81344 81840 83886 86592 89280 90200 91512 95325 98208 98400 101475 101680 102300 108240 109120 111600 111848 114390 118080 122016 122760 125829 127100 129888 135300 136400 139810 144320 147600 148800 152520 153450 158400 162360 163680 167772 180400 183024 190650 196416 196800 202950 203360 204600 209715 216480 223200 223696 228780 244032 245520 251658 254200 259776 270600 272800 279620 285975 295200 305040 306900 324720 327360 335544 349525 360800 366048 381300 405900 406720 409200 419430 432960 446400 447392 457560 491040 503316 508400 541200 545600 559240 571950 590400 610080 613800 629145 649440 671088 699050 721600 732096 762600 811800 818400 838860 894784 915120 982080 1006632 1016800 1048575 1082400 1118480 1143900 1220160 1227600 1258290 1298880 1342176 1398100 1525200 1623600 1636800 1677720 1830240 2013264 2033600 2097150 2164800 2236960 2287800 2455200 2516580 2684352 2796200 3050400 3145725 3247200 3355440 3660480 4026528 4194300 4473920 4575600 4910400 5033160 5592400 6100800 6291450 6494400 6710880 8053056 8388600 9151200 10066320 11184800 12582900 13421760 16777200 18302400 20132640 22369600 25165800 33554400 40265280 50331600 67108800 100663200 201326400
- Sum of all divisors σ(n): 825447168
- Sum of proper divisors (its aliquot sum) s(n): 624120768
- 201326400 is an abundant number, because the sum of its proper divisors (624120768) is greater than itself. Its abundance is 422794368
Bases of 201326400
- Binary: 10111111111111111111010000002
- Hexadecimal: 0xBFFFF40
- Base-36: 3BV4G0
Squares and roots of 201326400
- 201326400 squared (2013264002) is 40532319336960000
- 201326400 cubed (2013264003) is 8160225935760543744000000
-
The
square root of 201326400 is 14188.9534497791 -
The
cube root of 201326400 is 586.0935058731
Scales and comparisons
How big is 201326400?- 201,326,400 seconds is equal to 6 years, 20 weeks, 6 days, 4 hours.
-
To count from 1 to 201,326,400 would take you about nine 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 201326400 cubic inches would be around 48.8 feet tall.
Recreational maths with 201326400
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The information we have on file for 201326400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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