133214400
133,214,400 is an even composite number composed of five prime numbers multiplied together.
133214400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred seventy-eight divisors.
Prime factorization of 133214400:
26 × 32 × 52 × 11 × 292
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 29 × 29)See below for interesting mathematical facts about the number 133214400 from the Numbermatics database.
Names of 133214400
- Cardinal: 133214400 can be written as One hundred thirty-three million, two hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.332144 × 108
Factors of 133214400
Divisors of 133214400
- Number of divisors d(n): 378
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 29 30 32 33 36 40 44 45 48 50 55 58 60 64 66 72 75 80 87 88 90 96 99 100 110 116 120 132 144 145 150 160 165 174 176 180 192 198 200 220 225 232 240 261 264 275 288 290 300 319 320 330 348 352 360 396 400 435 440 450 464 480 495 522 528 550 576 580 600 638 660 696 704 720 725 792 800 825 841 870 880 900 928 957 960 990 1044 1056 1100 1160 1200 1276 1305 1320 1392 1440 1450 1584 1595 1600 1650 1682 1740 1760 1800 1856 1914 1980 2088 2112 2175 2200 2320 2400 2475 2523 2552 2610 2640 2784 2871 2880 2900 3168 3190 3300 3364 3480 3520 3600 3828 3960 4176 4205 4350 4400 4640 4785 4800 4950 5046 5104 5220 5280 5568 5742 5800 6336 6380 6525 6600 6728 6960 7200 7569 7656 7920 7975 8352 8410 8700 8800 9251 9280 9570 9900 10092 10208 10440 10560 11484 11600 12615 12760 13050 13200 13456 13920 14355 14400 15138 15312 15840 15950 16704 16820 17400 17600 18502 19140 19800 20184 20416 20880 21025 22968 23200 23925 25230 25520 26100 26400 26912 27753 27840 28710 30276 30624 31680 31900 33640 34800 37004 37845 38280 39600 40368 41760 42050 45936 46255 46400 47850 50460 51040 52200 52800 53824 55506 57420 60552 61248 63075 63800 67280 69600 71775 74008 75690 76560 79200 80736 83259 83520 84100 91872 92510 95700 100920 102080 104400 111012 114840 121104 126150 127600 134560 138765 139200 143550 148016 151380 153120 158400 161472 166518 168200 183744 185020 189225 191400 201840 208800 222024 229680 231275 242208 252300 255200 269120 277530 287100 296032 302760 306240 333036 336400 370040 378450 382800 403680 416295 417600 444048 459360 462550 484416 504600 510400 555060 574200 592064 605520 666072 672800 693825 740080 756900 765600 807360 832590 888096 918720 925100 1009200 1110120 1148400 1211040 1332144 1345600 1387650 1480160 1513800 1531200 1665180 1776192 1850200 2018400 2081475 2220240 2296800 2422080 2664288 2775300 2960320 3027600 3330360 3700400 4036800 4162950 4440480 4593600 5328576 5550600 6055200 6660720 7400800 8325900 8880960 11101200 12110400 13321440 14801600 16651800 22202400 26642880 33303600 44404800 66607200 133214400
- Sum of all divisors σ(n): 534943812
- Sum of proper divisors (its aliquot sum) s(n): 401729412
- 133214400 is an abundant number, because the sum of its proper divisors (401729412) is greater than itself. Its abundance is 268515012
Bases of 133214400
- Binary: 1111111000010110000110000002
- Hexadecimal: 0x7F0B0C0
- Base-36: 27B8W0
Squares and roots of 133214400
- 133214400 squared (1332144002) is 17746076367360000
- 133214400 cubed (1332144003) is 2364032915632041984000000
-
The
square root of 133214400 is 11541.8542704367 -
The
cube root of 133214400 is 510.7210101833
Scales and comparisons
How big is 133214400?- 133,214,400 seconds is equal to 4 years, 12 weeks, 1 day, 20 hours.
-
To count from 1 to 133,214,400 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 133214400 cubic inches would be around 42.6 feet tall.
Recreational maths with 133214400
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