145321728
145,321,728 is an even composite number composed of five prime numbers multiplied together.
What does the number 145321728 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 144 divisors.
145321728 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 145321728:
28 × 3 × 19 × 23 × 433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 19 × 23 × 433)See below for interesting mathematical facts about the number 145321728 from the Numbermatics database.
Names of 145321728
- Cardinal: 145321728 can be written as One hundred forty-five million, three hundred twenty-one thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.45321728 × 108
Factors of 145321728
Divisors of 145321728
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 76 92 96 114 128 138 152 184 192 228 256 276 304 368 384 433 437 456 552 608 736 768 866 874 912 1104 1216 1299 1311 1472 1732 1748 1824 2208 2432 2598 2622 2944 3464 3496 3648 4416 4864 5196 5244 5888 6928 6992 7296 8227 8832 9959 10392 10488 13856 13984 14592 16454 17664 19918 20784 20976 24681 27712 27968 29877 32908 39836 41568 41952 49362 55424 55936 59754 65816 79672 83136 83904 98724 110848 111872 119508 131632 159344 166272 167808 189221 197448 239016 263264 318688 332544 335616 378442 394896 478032 526528 567663 637376 756884 789792 956064 1053056 1135326 1274752 1513768 1579584 1912128 2106112 2270652 2549504 3027536 3159168 3824256 4541304 6055072 6318336 7648512 9082608 12110144 18165216 24220288 36330432 48440576 72660864 145321728
- Sum of all divisors σ(n): 425806080
- Sum of proper divisors (its aliquot sum) s(n): 280484352
- 145321728 is an abundant number, because the sum of its proper divisors (280484352) is greater than itself. Its abundance is 135162624
Bases of 145321728
- Binary: 10001010100101101111000000002
- Hexadecimal: 0x8A96F00
- Base-36: 2EIQYO
Squares and roots of 145321728
- 145321728 squared (1453217282) is 21118404628905984
- 145321728 cubed (1453217283) is 3068963053275816344420352
-
The
square root of 145321728 is 12054.9462047743 -
The
cube root of 145321728 is 525.7470579985
Scales and comparisons
How big is 145321728?- 145,321,728 seconds is equal to 4 years, 32 weeks, 1 day, 23 hours, 8 minutes, 48 seconds.
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To count from 1 to 145,321,728 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 145321728 cubic inches would be around 43.8 feet tall.
Recreational maths with 145321728
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