73441728
73,441,728 is an even composite number composed of four prime numbers multiplied together.
73441728 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty divisors.
Prime factorization of 73441728:
26 × 34 × 31 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 31 × 457)See below for interesting mathematical facts about the number 73441728 from the Numbermatics database.
Names of 73441728
- Cardinal: 73441728 can be written as Seventy-three million, four hundred forty-one thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 7.3441728 × 107
Factors of 73441728
Divisors of 73441728
- Number of divisors d(n): 140
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 457 496 558 576 648 744 837 864 914 992 1116 1296 1371 1488 1674 1728 1828 1984 2232 2511 2592 2742 2976 3348 3656 4113 4464 5022 5184 5484 5952 6696 7312 8226 8928 10044 10968 12339 13392 14167 14624 16452 17856 20088 21936 24678 26784 28334 29248 32904 37017 40176 42501 43872 49356 53568 56668 65808 74034 80352 85002 87744 98712 113336 127503 131616 148068 160704 170004 197424 226672 255006 263232 296136 340008 382509 394848 453344 510012 592272 680016 765018 789696 906688 1020024 1147527 1184544 1360032 1530036 2040048 2295054 2369088 2720064 3060072 4080096 4590108 6120144 8160192 9180216 12240288 18360432 24480576 36720864 73441728
- Sum of all divisors σ(n): 225218752
- Sum of proper divisors (its aliquot sum) s(n): 151777024
- 73441728 is an abundant number, because the sum of its proper divisors (151777024) is greater than itself. Its abundance is 78335296
Bases of 73441728
- Binary: 1000110000010100001110000002
- Hexadecimal: 0x460A1C0
- Base-36: 17Q400
Squares and roots of 73441728
- 73441728 squared (734417282) is 5393687411625984
- 73441728 cubed (734417283) is 396121723801659554660352
-
The
square root of 73441728 is 8569.8149338245 -
The
cube root of 73441728 is 418.7752072745
Scales and comparisons
How big is 73441728?- 73,441,728 seconds is equal to 2 years, 17 weeks, 3 days, 28 minutes, 48 seconds.
-
To count from 1 to 73,441,728 would take you about three 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 73441728 cubic inches would be around 34.9 feet tall.
Recreational maths with 73441728
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 73441728 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
APA style:
Numbermatics. (2024). Number 73441728 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/73441728/
Chicago style:
Numbermatics. 2024. "Number 73441728 - Facts about the integer". https://numbermatics.com/n/73441728/
The information we have on file for 73441728 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 73441728, math, Factors of 73441728, curriculum, school, college, exams, university, Prime factorization of 73441728, STEM, science, technology, engineering, physics, economics, calculator, seventy-three million, four hundred forty-one thousand, seven hundred twenty-eight.