132864264
132,864,264 is an even composite number composed of six prime numbers multiplied together.
132864264 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 132864264:
23 × 32 × 13 × 19 × 31 × 241
(2 × 2 × 2 × 3 × 3 × 13 × 19 × 31 × 241)See below for interesting mathematical facts about the number 132864264 from the Numbermatics database.
Names of 132864264
- Cardinal: 132864264 can be written as One hundred thirty-two million, eight hundred sixty-four thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.32864264 × 108
Factors of 132864264
Divisors of 132864264
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 18 19 24 26 31 36 38 39 52 57 62 72 76 78 93 104 114 117 124 152 156 171 186 228 234 241 247 248 279 312 342 372 403 456 468 482 494 558 589 684 723 741 744 806 936 964 988 1116 1178 1209 1368 1446 1482 1612 1767 1928 1976 2169 2223 2232 2356 2418 2892 2964 3133 3224 3534 3627 4338 4446 4579 4712 4836 5301 5784 5928 6266 7068 7254 7471 7657 8676 8892 9158 9399 9672 10602 12532 13737 14136 14508 14942 15314 17352 17784 18316 18798 21204 22413 22971 25064 27474 28197 29016 29884 30628 36632 37596 41211 42408 44826 45942 54948 56394 59527 59768 61256 67239 68913 75192 82422 89652 91884 97123 109896 112788 119054 134478 137826 141949 164844 178581 179304 183768 194246 225576 238108 268956 275652 283898 291369 329688 357162 388492 425847 476216 535743 537912 551304 567796 582738 714324 776984 851694 874107 1071486 1135592 1165476 1277541 1428648 1703388 1748214 1845337 2142972 2330952 2555082 3406776 3496428 3690674 4285944 5110164 5536011 6992856 7381348 10220328 11072022 14762696 16608033 22144044 33216066 44288088 66432132 132864264
- Sum of all divisors σ(n): 422822400
- Sum of proper divisors (its aliquot sum) s(n): 289958136
- 132864264 is an abundant number, because the sum of its proper divisors (289958136) is greater than itself. Its abundance is 157093872
Bases of 132864264
- Binary: 1111110101101011001000010002
- Hexadecimal: 0x7EB5908
- Base-36: 273QQ0
Squares and roots of 132864264
- 132864264 squared (1328642642) is 17652912648261696
- 132864264 cubed (1328642643) is 2345441246467581118431744
-
The
square root of 132864264 is 11526.6761904723 -
The
cube root of 132864264 is 510.2731639283
Scales and comparisons
How big is 132864264?- 132,864,264 seconds is equal to 4 years, 11 weeks, 4 days, 18 hours, 44 minutes, 24 seconds.
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To count from 1 to 132,864,264 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 132864264 cubic inches would be around 42.5 feet tall.
Recreational maths with 132864264
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