132978816
132,978,816 is an even composite number composed of four prime numbers multiplied together.
132978816 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 132978816:
27 × 32 × 89 × 1297
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 89 × 1297)See below for interesting mathematical facts about the number 132978816 from the Numbermatics database.
Names of 132978816
- Cardinal: 132978816 can be written as One hundred thirty-two million, nine hundred seventy-eight thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.32978816 × 108
Factors of 132978816
Divisors of 132978816
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 128 144 178 192 267 288 356 384 534 576 712 801 1068 1152 1297 1424 1602 2136 2594 2848 3204 3891 4272 5188 5696 6408 7782 8544 10376 11392 11673 12816 15564 17088 20752 23346 25632 31128 34176 41504 46692 51264 62256 83008 93384 102528 115433 124512 166016 186768 230866 249024 346299 373536 461732 498048 692598 747072 923464 1038897 1385196 1494144 1846928 2077794 2770392 3693856 4155588 5540784 7387712 8311176 11081568 14775424 16622352 22163136 33244704 44326272 66489408 132978816
- Sum of all divisors σ(n): 387258300
- Sum of proper divisors (its aliquot sum) s(n): 254279484
- 132978816 is an abundant number, because the sum of its proper divisors (254279484) is greater than itself. Its abundance is 121300668
Bases of 132978816
- Binary: 1111110110100011000100000002
- Hexadecimal: 0x7ED1880
- Base-36: 276740
Squares and roots of 132978816
- 132978816 squared (1329788162) is 17683365504761856
- 132978816 cubed (1329788163) is 2351513007718473972842496
-
The
square root of 132978816 is 11531.6441152161 -
The
cube root of 132978816 is 510.4197697423
Scales and comparisons
How big is 132978816?- 132,978,816 seconds is equal to 4 years, 11 weeks, 6 days, 2 hours, 33 minutes, 36 seconds.
-
To count from 1 to 132,978,816 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 132978816 cubic inches would be around 42.5 feet tall.
Recreational maths with 132978816
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