132705216
132,705,216 is an even composite number composed of five prime numbers multiplied together.
132705216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 132705216:
26 × 35 × 7 × 23 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 23 × 53)See below for interesting mathematical facts about the number 132705216 from the Numbermatics database.
Names of 132705216
- Cardinal: 132705216 can be written as One hundred thirty-two million, seven hundred five thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.32705216 × 108
Factors of 132705216
Divisors of 132705216
- 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 21 23 24 27 28 32 36 42 46 48 53 54 56 63 64 69 72 81 84 92 96 106 108 112 126 138 144 159 161 162 168 184 189 192 207 212 216 224 243 252 276 288 318 322 324 336 368 371 378 414 424 432 448 477 483 486 504 552 567 576 621 636 644 648 672 736 742 756 828 848 864 954 966 972 1008 1104 1113 1134 1219 1242 1272 1288 1296 1344 1431 1449 1472 1484 1512 1656 1696 1701 1728 1863 1908 1932 1944 2016 2208 2226 2268 2438 2484 2544 2576 2592 2862 2898 2968 3024 3312 3339 3392 3402 3657 3726 3816 3864 3888 4032 4293 4347 4416 4452 4536 4876 4968 5088 5152 5184 5589 5724 5796 5936 6048 6624 6678 6804 7314 7452 7632 7728 7776 8533 8586 8694 8904 9072 9752 9936 10017 10176 10304 10971 11178 11448 11592 11872 12096 12879 13041 13248 13356 13608 14628 14904 15264 15456 15552 17066 17172 17388 17808 18144 19504 19872 20034 21942 22356 22896 23184 23744 25599 25758 26082 26712 27216 29256 29808 30051 30528 30912 32913 34132 34344 34776 35616 36288 39008 39123 39744 40068 43884 44712 45792 46368 51198 51516 52164 53424 54432 58512 59616 60102 65826 68264 68688 69552 71232 76797 78016 78246 80136 87768 89424 90153 91584 92736 98739 102396 103032 104328 106848 108864 117024 119232 120204 131652 136528 137376 139104 153594 156492 160272 175536 178848 180306 197478 204792 206064 208656 213696 230391 234048 240408 263304 273056 274752 278208 296217 307188 312984 320544 351072 357696 360612 394956 409584 412128 417312 460782 480816 526608 546112 592434 614376 625968 641088 691173 702144 721224 789912 819168 824256 834624 921564 961632 1053216 1184868 1228752 1251936 1382346 1442448 1579824 1638336 1843128 1923264 2073519 2106432 2369736 2457504 2503872 2764692 2884896 3159648 3686256 4147038 4739472 4915008 5529384 5769792 6319296 7372512 8294076 9478944 11058768 14745024 16588152 18957888 22117536 33176304 44235072 66352608 132705216
- Sum of all divisors σ(n): 479291904
- Sum of proper divisors (its aliquot sum) s(n): 346586688
- 132705216 is an abundant number, because the sum of its proper divisors (346586688) is greater than itself. Its abundance is 213881472
Bases of 132705216
- Binary: 1111110100011101011110000002
- Hexadecimal: 0x7E8EBC0
- Base-36: 270C00
Squares and roots of 132705216
- 132705216 squared (1327052162) is 17610674353606656
- 132705216 cubed (1327052163) is 2337028344001031663517696
-
The
square root of 132705216 is 11519.7749978025 -
The
cube root of 132705216 is 510.0694715051
Scales and comparisons
How big is 132705216?- 132,705,216 seconds is equal to 4 years, 11 weeks, 2 days, 22 hours, 33 minutes, 36 seconds.
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To count from 1 to 132,705,216 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 132705216 cubic inches would be around 42.5 feet tall.
Recreational maths with 132705216
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