145972992
145,972,992 is an even composite number composed of five prime numbers multiplied together.
145972992 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 145972992:
28 × 3 × 11 × 37 × 467
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 37 × 467)See below for interesting mathematical facts about the number 145972992 from the Numbermatics database.
Names of 145972992
- Cardinal: 145972992 can be written as One hundred forty-five million, nine hundred seventy-two thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.45972992 × 108
Factors of 145972992
Divisors of 145972992
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 256 264 296 352 384 407 444 467 528 592 704 768 814 888 934 1056 1184 1221 1401 1408 1628 1776 1868 2112 2368 2442 2802 2816 3256 3552 3736 4224 4736 4884 5137 5604 6512 7104 7472 8448 9472 9768 10274 11208 13024 14208 14944 15411 17279 19536 20548 22416 26048 28416 29888 30822 34558 39072 41096 44832 51837 52096 59776 61644 69116 78144 82192 89664 103674 104192 119552 123288 138232 156288 164384 179328 190069 207348 246576 276464 312576 328768 358656 380138 414696 493152 552928 570207 657536 760276 829392 986304 1105856 1140414 1315072 1520552 1658784 1972608 2211712 2280828 3041104 3317568 3945216 4423424 4561656 6082208 6635136 9123312 12164416 13270272 18246624 24328832 36493248 48657664 72986496 145972992
- Sum of all divisors σ(n): 436205952
- Sum of proper divisors (its aliquot sum) s(n): 290232960
- 145972992 is an abundant number, because the sum of its proper divisors (290232960) is greater than itself. Its abundance is 144259968
Bases of 145972992
- Binary: 10001011001101011111000000002
- Hexadecimal: 0x8B35F00
- Base-36: 2EWPHC
Squares and roots of 145972992
- 145972992 squared (1459729922) is 21308114393432064
- 145972992 cubed (1459729923) is 3110409211887543530815488
-
The
square root of 145972992 is 12081.9283229127 -
The
cube root of 145972992 is 526.5312717885
Scales and comparisons
How big is 145972992?- 145,972,992 seconds is equal to 4 years, 33 weeks, 2 days, 12 hours, 3 minutes, 12 seconds.
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To count from 1 to 145,972,992 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 145972992 cubic inches would be around 43.9 feet tall.
Recreational maths with 145972992
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