132214320
132,214,320 is an even composite number composed of six prime numbers multiplied together.
What does the number 132214320 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 240 divisors.
132214320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 132214320:
24 × 32 × 5 × 7 × 37 × 709
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 37 × 709)See below for interesting mathematical facts about the number 132214320 from the Numbermatics database.
Names of 132214320
- Cardinal: 132214320 can be written as One hundred thirty-two million, two hundred fourteen thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3221432 × 108
Factors of 132214320
Divisors of 132214320
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 37 40 42 45 48 56 60 63 70 72 74 80 84 90 105 111 112 120 126 140 144 148 168 180 185 210 222 240 252 259 280 296 315 333 336 360 370 420 444 504 518 555 560 592 630 666 709 720 740 777 840 888 1008 1036 1110 1260 1295 1332 1418 1480 1554 1665 1680 1776 2072 2127 2220 2331 2520 2590 2664 2836 2960 3108 3330 3545 3885 4144 4254 4440 4662 4963 5040 5180 5328 5672 6216 6381 6660 7090 7770 8508 8880 9324 9926 10360 10635 11344 11655 12432 12762 13320 14180 14889 15540 17016 18648 19852 20720 21270 23310 24815 25524 26233 26640 28360 29778 31080 31905 34032 37296 39704 42540 44667 46620 49630 51048 52466 56720 59556 62160 63810 74445 78699 79408 85080 89334 93240 99260 102096 104932 119112 127620 131165 148890 157398 170160 178668 183631 186480 198520 209864 223335 236097 238224 255240 262330 297780 314796 357336 367262 393495 397040 419728 446670 472194 510480 524660 550893 595560 629592 714672 734524 786990 893340 918155 944388 1049320 1101786 1180485 1191120 1259184 1469048 1573980 1652679 1786680 1836310 1888776 2098640 2203572 2360970 2754465 2938096 3147960 3305358 3573360 3672620 3777552 4407144 4721940 5508930 6295920 6610716 7345240 8263395 8814288 9443880 11017860 13221432 14690480 16526790 18887760 22035720 26442864 33053580 44071440 66107160 132214320
- Sum of all divisors σ(n): 521901120
- Sum of proper divisors (its aliquot sum) s(n): 389686800
- 132214320 is an abundant number, because the sum of its proper divisors (389686800) is greater than itself. Its abundance is 257472480
Bases of 132214320
- Binary: 1111110000101101110001100002
- Hexadecimal: 0x7E16E30
- Base-36: 26PT80
Squares and roots of 132214320
- 132214320 squared (1322143202) is 17480626413062400
- 132214320 cubed (1322143203) is 2311189134377084333568000
-
The
square root of 132214320 is 11498.4485910057 -
The
cube root of 132214320 is 509.4397538715
Scales and comparisons
How big is 132214320?- 132,214,320 seconds is equal to 4 years, 10 weeks, 4 days, 6 hours, 12 minutes.
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To count from 1 to 132,214,320 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 132214320 cubic inches would be around 42.5 feet tall.
Recreational maths with 132214320
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