132117744
132,117,744 is an even composite number composed of six prime numbers multiplied together.
What does the number 132117744 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 160 divisors.
132117744 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 132117744:
24 × 3 × 11 × 17 × 41 × 359
(2 × 2 × 2 × 2 × 3 × 11 × 17 × 41 × 359)See below for interesting mathematical facts about the number 132117744 from the Numbermatics database.
Names of 132117744
- Cardinal: 132117744 can be written as One hundred thirty-two million, one hundred seventeen thousand, seven hundred forty-four.
Scientific notation
- Scientific notation: 1.32117744 × 108
Factors of 132117744
Divisors of 132117744
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 17 22 24 33 34 41 44 48 51 66 68 82 88 102 123 132 136 164 176 187 204 246 264 272 328 359 374 408 451 492 528 561 656 697 718 748 816 902 984 1077 1122 1353 1394 1436 1496 1804 1968 2091 2154 2244 2706 2788 2872 2992 3608 3949 4182 4308 4488 5412 5576 5744 6103 7216 7667 7898 8364 8616 8976 10824 11152 11847 12206 14719 15334 15796 16728 17232 18309 21648 23001 23694 24412 29438 30668 31592 33456 36618 44157 46002 47388 48824 58876 61336 63184 67133 73236 88314 92004 94776 97648 117752 122672 134266 146472 161909 176628 184008 189552 201399 235504 250223 268532 292944 323818 353256 368016 402798 485727 500446 537064 647636 706512 750669 805596 971454 1000892 1074128 1295272 1501338 1611192 1942908 2001784 2590544 2752453 3002676 3222384 3885816 4003568 5504906 6005352 7771632 8257359 11009812 12010704 16514718 22019624 33029436 44039248 66058872 132117744
- Sum of all divisors σ(n): 404974080
- Sum of proper divisors (its aliquot sum) s(n): 272856336
- 132117744 is an abundant number, because the sum of its proper divisors (272856336) is greater than itself. Its abundance is 140738592
Bases of 132117744
- Binary: 1111101111111110100111100002
- Hexadecimal: 0x7DFF4F0
- Base-36: 26NQPC
Squares and roots of 132117744
- 132117744 squared (1321177442) is 17455098279649536
- 132117744 cubed (1321177443) is 2306128206005577806966784
-
The
square root of 132117744 is 11494.2483007807 -
The
cube root of 132117744 is 509.3156835041
Scales and comparisons
How big is 132117744?- 132,117,744 seconds is equal to 4 years, 10 weeks, 3 days, 3 hours, 22 minutes, 24 seconds.
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To count from 1 to 132,117,744 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 132117744 cubic inches would be around 42.4 feet tall.
Recreational maths with 132117744
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