132049764
132,049,764 is an even composite number composed of six prime numbers multiplied together.
What does the number 132049764 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 240 divisors.
132049764 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 132049764:
22 × 34 × 7 × 11 × 67 × 79
(2 × 2 × 3 × 3 × 3 × 3 × 7 × 11 × 67 × 79)See below for interesting mathematical facts about the number 132049764 from the Numbermatics database.
Names of 132049764
- Cardinal: 132049764 can be written as One hundred thirty-two million, forty-nine thousand, seven hundred sixty-four.
Scientific notation
- Scientific notation: 1.32049764 × 108
Factors of 132049764
Divisors of 132049764
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 67 77 79 81 84 99 108 126 132 134 154 158 162 189 198 201 231 237 252 268 297 308 316 324 378 396 402 462 469 474 553 567 594 603 693 711 737 756 804 869 891 924 938 948 1106 1134 1188 1206 1386 1407 1422 1474 1659 1738 1782 1809 1876 2079 2133 2211 2212 2268 2412 2607 2772 2814 2844 2948 3318 3476 3564 3618 4158 4221 4266 4422 4977 5159 5214 5293 5427 5628 6083 6237 6399 6633 6636 7236 7821 8316 8442 8532 8844 9954 10318 10428 10586 10854 12166 12474 12663 12798 13266 14931 15477 15642 15879 16884 18249 19899 19908 20636 21172 21708 23463 24332 24948 25326 25596 26532 29862 30954 31284 31758 36498 37051 37989 39798 44793 46431 46926 47637 50652 54747 58223 59697 59724 61908 63516 70389 72996 74102 75978 79596 89586 92862 93852 95274 109494 111153 116446 119394 139293 140778 142911 148204 151956 164241 174669 179172 185724 190548 218988 222306 232892 238788 278586 281556 285822 328482 333459 349338 407561 417879 428733 444612 492723 524007 557172 571644 656964 666918 698676 815122 835758 857466 985446 1000377 1048014 1222683 1333836 1572021 1630244 1671516 1714932 1970892 2000754 2096028 2445366 3001131 3144042 3668049 4001508 4716063 4890732 6002262 6288084 7336098 9432126 11004147 12004524 14672196 18864252 22008294 33012441 44016588 66024882 132049764
- Sum of all divisors σ(n): 442337280
- Sum of proper divisors (its aliquot sum) s(n): 310287516
- 132049764 is an abundant number, because the sum of its proper divisors (310287516) is greater than itself. Its abundance is 178237752
Bases of 132049764
- Binary: 1111101111011101011011001002
- Hexadecimal: 0x7DEEB64
- Base-36: 26MA90
Squares and roots of 132049764
- 132049764 squared (1320497642) is 17437140172455696
- 132049764 cubed (1320497643) is 2302570244607693957255744
-
The
square root of 132049764 is 11491.2907891151 -
The
cube root of 132049764 is 509.2283139119
Scales and comparisons
How big is 132049764?- 132,049,764 seconds is equal to 4 years, 10 weeks, 2 days, 8 hours, 29 minutes, 24 seconds.
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To count from 1 to 132,049,764 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 132049764 cubic inches would be around 42.4 feet tall.
Recreational maths with 132049764
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