132978384
132,978,384 is an even composite number composed of six prime numbers multiplied together.
132978384 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 132978384:
24 × 32 × 7 × 11 × 67 × 179
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 67 × 179)See below for interesting mathematical facts about the number 132978384 from the Numbermatics database.
Names of 132978384
- Cardinal: 132978384 can be written as One hundred thirty-two million, nine hundred seventy-eight thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.32978384 × 108
Factors of 132978384
Divisors of 132978384
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 67 72 77 84 88 99 112 126 132 134 144 154 168 176 179 198 201 231 252 264 268 308 336 358 396 402 462 469 504 528 536 537 603 616 693 716 737 792 804 924 938 1008 1072 1074 1206 1232 1253 1386 1407 1432 1474 1584 1608 1611 1848 1876 1969 2148 2211 2412 2506 2772 2814 2864 2948 3216 3222 3696 3752 3759 3938 4221 4296 4422 4824 5012 5159 5544 5628 5896 5907 6444 6633 7504 7518 7876 8442 8592 8844 9648 10024 10318 11088 11256 11277 11792 11814 11993 12888 13266 13783 15036 15477 15752 16884 17688 17721 20048 20636 22512 22554 23628 23986 25776 26532 27566 30072 30954 31504 33768 35376 35442 35979 41272 41349 45108 46431 47256 47972 53064 55132 60144 61908 67536 70884 71958 82544 82698 83951 90216 92862 94512 95944 106128 107937 110264 123816 124047 131923 141768 143916 165396 167902 180432 185724 191888 215874 220528 247632 248094 251853 263846 283536 287832 330792 335804 371448 395769 431748 496188 503706 527692 575664 661584 671608 742896 755559 791538 863496 923461 992376 1007412 1055384 1187307 1343216 1511118 1583076 1726992 1846922 1984752 2014824 2110768 2374614 2770383 3022236 3166152 3693844 4029648 4749228 5540766 6044472 6332304 7387688 8311149 9498456 11081532 12088944 14775376 16622298 18996912 22163064 33244596 44326128 66489192 132978384
- Sum of all divisors σ(n): 473541120
- Sum of proper divisors (its aliquot sum) s(n): 340562736
- 132978384 is an abundant number, because the sum of its proper divisors (340562736) is greater than itself. Its abundance is 207584352
Bases of 132978384
- Binary: 1111110110100010110110100002
- Hexadecimal: 0x7ED16D0
- Base-36: 2766S0
Squares and roots of 132978384
- 132978384 squared (1329783842) is 17683250611251456
- 132978384 cubed (1329783843) is 2351490090151230836527104
-
The
square root of 132978384 is 11531.6253841339 -
The
cube root of 132978384 is 510.4192170187
Scales and comparisons
How big is 132978384?- 132,978,384 seconds is equal to 4 years, 11 weeks, 6 days, 2 hours, 26 minutes, 24 seconds.
-
To count from 1 to 132,978,384 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 132978384 cubic inches would be around 42.5 feet tall.
Recreational maths with 132978384
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"Number 132978384 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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