133221312
133,221,312 is an even composite number composed of six prime numbers multiplied together.
133221312 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 133221312:
26 × 32 × 7 × 19 × 37 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 19 × 37 × 47)See below for interesting mathematical facts about the number 133221312 from the Numbermatics database.
Names of 133221312
- Cardinal: 133221312 can be written as One hundred thirty-three million, two hundred twenty-one thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.33221312 × 108
Factors of 133221312
Divisors of 133221312
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 37 38 42 47 48 56 57 63 64 72 74 76 84 94 96 111 112 114 126 133 141 144 148 152 168 171 188 192 222 224 228 252 259 266 282 288 296 304 329 333 336 342 376 399 423 444 448 456 504 518 532 564 576 592 608 658 666 672 684 703 752 777 798 846 888 893 912 987 1008 1036 1064 1128 1184 1197 1216 1316 1332 1344 1368 1406 1504 1554 1596 1692 1739 1776 1786 1824 1974 2016 2072 2109 2128 2256 2331 2368 2394 2632 2664 2679 2736 2812 2961 3008 3108 3192 3384 3478 3552 3572 3648 3948 4032 4144 4218 4256 4512 4662 4788 4921 5217 5264 5328 5358 5472 5624 5922 6216 6251 6327 6384 6768 6956 7104 7144 7896 8037 8288 8436 8512 9024 9324 9576 9842 10434 10528 10656 10716 10944 11248 11844 12173 12432 12502 12654 12768 13536 13912 14288 14763 15651 15792 16074 16576 16872 18648 18753 19152 19684 20868 21056 21312 21432 22496 23688 24346 24864 25004 25308 25536 27072 27824 28576 29526 31302 31584 32148 33041 33744 36519 37296 37506 38304 39368 41736 42864 44289 44992 47376 48692 49728 50008 50616 55648 56259 57152 59052 62604 63168 64296 66082 67488 73038 74592 75012 76608 78736 83472 85728 88578 94752 97384 99123 100016 101232 109557 111296 112518 118104 125208 128592 132164 134976 146076 149184 150024 157472 166944 171456 177156 189504 194768 198246 200032 202464 219114 225036 231287 236208 250416 257184 264328 292152 297369 300048 314944 333888 354312 389536 396492 400064 404928 438228 450072 462574 472416 500832 514368 528656 584304 594738 600096 693861 708624 779072 792984 876456 900144 925148 944832 1001664 1057312 1168608 1189476 1200192 1387722 1417248 1585968 1752912 1800288 1850296 2081583 2114624 2337216 2378952 2775444 2834496 3171936 3505824 3600576 3700592 4163166 4757904 5550888 6343872 7011648 7401184 8326332 9515808 11101776 14802368 16652664 19031616 22203552 33305328 44407104 66610656 133221312
- Sum of all divisors σ(n): 481827840
- Sum of proper divisors (its aliquot sum) s(n): 348606528
- 133221312 is an abundant number, because the sum of its proper divisors (348606528) is greater than itself. Its abundance is 215385216
Bases of 133221312
- Binary: 1111111000011001011110000002
- Hexadecimal: 0x7F0CBC0
- Base-36: 27BE80
Squares and roots of 133221312
- 133221312 squared (1332213122) is 17747917971001344
- 133221312 cubed (1332213123) is 2364400917365177001443328
-
The
square root of 133221312 is 11542.1536985087 -
The
cube root of 133221312 is 510.7298431687
Scales and comparisons
How big is 133221312?- 133,221,312 seconds is equal to 4 years, 12 weeks, 1 day, 21 hours, 55 minutes, 12 seconds.
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To count from 1 to 133,221,312 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 133221312 cubic inches would be around 42.6 feet tall.
Recreational maths with 133221312
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