132402816
132,402,816 is an even composite number composed of five prime numbers multiplied together.
132402816 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 132402816:
27 × 33 × 7 × 13 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 421)See below for interesting mathematical facts about the number 132402816 from the Numbermatics database.
Names of 132402816
- Cardinal: 132402816 can be written as One hundred thirty-two million, four hundred two thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.32402816 × 108
Factors of 132402816
Divisors of 132402816
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 84 91 96 104 108 112 117 126 128 144 156 168 182 189 192 208 216 224 234 252 273 288 312 336 351 364 378 384 416 421 432 448 468 504 546 576 624 672 702 728 756 819 832 842 864 896 936 1008 1092 1152 1248 1263 1344 1404 1456 1512 1638 1664 1684 1728 1872 2016 2184 2457 2496 2526 2688 2808 2912 2947 3024 3276 3368 3456 3744 3789 4032 4368 4914 4992 5052 5473 5616 5824 5894 6048 6552 6736 7488 7578 8064 8736 8841 9828 10104 10946 11232 11367 11648 11788 12096 13104 13472 14976 15156 16419 17472 17682 19656 20208 21892 22464 22734 23576 24192 26208 26523 26944 30312 32838 34944 35364 38311 39312 40416 43784 44928 45468 47152 49257 52416 53046 53888 60624 65676 70728 76622 78624 79569 80832 87568 90936 94304 98514 104832 106092 114933 121248 131352 141456 147771 153244 157248 159138 161664 175136 181872 188608 197028 212184 229866 242496 262704 282912 295542 306488 314496 318276 344799 350272 363744 377216 394056 424368 459732 484992 525408 565824 591084 612976 636552 689598 700544 727488 788112 848736 919464 1034397 1050816 1131648 1182168 1225952 1273104 1379196 1454976 1576224 1697472 1838928 2068794 2101632 2364336 2451904 2546208 2758392 3152448 3394944 3677856 4137588 4728672 4903808 5092416 5516784 6304896 7355712 8275176 9457344 10184832 11033568 14711424 16550352 18914688 22067136 33100704 44134272 66201408 132402816
- Sum of all divisors σ(n): 482092800
- Sum of proper divisors (its aliquot sum) s(n): 349689984
- 132402816 is an abundant number, because the sum of its proper divisors (349689984) is greater than itself. Its abundance is 217287168
Bases of 132402816
- Binary: 1111110010001001110100000002
- Hexadecimal: 0x7E44E80
- Base-36: 26TUO0
Squares and roots of 132402816
- 132402816 squared (1324028162) is 17530505684729856
- 132402816 cubed (1324028163) is 2321088318562241133674496
-
The
square root of 132402816 is 11506.6422556715 -
The
cube root of 132402816 is 509.6817391497
Scales and comparisons
How big is 132402816?- 132,402,816 seconds is equal to 4 years, 10 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
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To count from 1 to 132,402,816 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 132402816 cubic inches would be around 42.5 feet tall.
Recreational maths with 132402816
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