132144264
132,144,264 is an even composite number composed of six prime numbers multiplied together.
132144264 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 132144264:
23 × 33 × 7 × 17 × 53 × 97
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 17 × 53 × 97)See below for interesting mathematical facts about the number 132144264 from the Numbermatics database.
Names of 132144264
- Cardinal: 132144264 can be written as One hundred thirty-two million, one hundred forty-four thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.32144264 × 108
Factors of 132144264
Divisors of 132144264
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 53 54 56 63 68 72 84 97 102 106 108 119 126 136 153 159 168 189 194 204 212 216 238 252 291 306 318 357 371 378 388 408 424 459 476 477 504 582 612 636 679 714 742 756 776 873 901 918 952 954 1071 1113 1164 1224 1272 1358 1428 1431 1484 1512 1649 1746 1802 1836 1908 2037 2142 2226 2328 2619 2703 2716 2856 2862 2968 3213 3298 3339 3492 3604 3672 3816 4074 4284 4452 4947 5141 5238 5406 5432 5724 6111 6307 6426 6596 6678 6984 7208 8109 8148 8568 8904 9894 10017 10282 10476 10812 11448 11543 12222 12614 12852 13192 13356 14841 15423 16218 16296 18333 18921 19788 20034 20564 20952 21624 23086 24327 24444 25228 25704 26712 29682 30846 32436 34629 35987 36666 37842 39576 40068 41128 44523 46172 46269 48654 48888 50456 56763 59364 61692 64872 69258 71974 73332 75684 80136 87397 89046 92344 92538 97308 103887 107961 113526 118728 123384 138516 138807 143948 146664 151368 170289 174794 178092 185076 194616 207774 215922 227052 262191 277032 277614 287896 311661 323883 340578 349588 356184 370152 415548 431844 454104 524382 555228 611779 623322 647766 681156 699176 786573 831096 863688 971649 1048764 1110456 1223558 1246644 1295532 1362312 1573146 1835337 1943298 2097528 2359719 2447116 2493288 2591064 3146292 3670674 3886596 4719438 4894232 5506011 6292584 7341348 7773192 9438876 11012022 14682696 16518033 18877752 22024044 33036066 44048088 66072132 132144264
- Sum of all divisors σ(n): 457228800
- Sum of proper divisors (its aliquot sum) s(n): 325084536
- 132144264 is an abundant number, because the sum of its proper divisors (325084536) is greater than itself. Its abundance is 192940272
Bases of 132144264
- Binary: 1111110000001011100100010002
- Hexadecimal: 0x7E05C88
- Base-36: 26OB60
Squares and roots of 132144264
- 132144264 squared (1321442642) is 17462106508101696
- 132144264 cubed (1321442643) is 2307517212402708655071744
-
The
square root of 132144264 is 11495.4018633539 -
The
cube root of 132144264 is 509.3497595431
Scales and comparisons
How big is 132144264?- 132,144,264 seconds is equal to 4 years, 10 weeks, 3 days, 10 hours, 44 minutes, 24 seconds.
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To count from 1 to 132,144,264 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 132144264 cubic inches would be around 42.4 feet tall.
Recreational maths with 132144264
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