145742400
145,742,400 is an even composite number composed of five prime numbers multiplied together.
145742400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 145742400:
26 × 32 × 52 × 29 × 349
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 29 × 349)See below for interesting mathematical facts about the number 145742400 from the Numbermatics database.
Names of 145742400
- Cardinal: 145742400 can be written as One hundred forty-five million, seven hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.457424 × 108
Factors of 145742400
Divisors of 145742400
- Number of divisors d(n): 252
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 29 30 32 36 40 45 48 50 58 60 64 72 75 80 87 90 96 100 116 120 144 145 150 160 174 180 192 200 225 232 240 261 288 290 300 320 348 349 360 400 435 450 464 480 522 576 580 600 696 698 720 725 800 870 900 928 960 1044 1047 1160 1200 1305 1392 1396 1440 1450 1600 1740 1745 1800 1856 2088 2094 2175 2320 2400 2610 2784 2792 2880 2900 3141 3480 3490 3600 4176 4188 4350 4640 4800 5220 5235 5568 5584 5800 6282 6525 6960 6980 7200 8352 8376 8700 8725 9280 10121 10440 10470 11168 11600 12564 13050 13920 13960 14400 15705 16704 16752 17400 17450 20242 20880 20940 22336 23200 25128 26100 26175 27840 27920 30363 31410 33504 34800 34900 40484 41760 41880 46400 50256 50605 52200 52350 55840 60726 62820 67008 69600 69800 78525 80968 83520 83760 91089 100512 101210 104400 104700 111680 121452 125640 139200 139600 151815 157050 161936 167520 182178 201024 202420 208800 209400 242904 251280 253025 279200 303630 314100 323872 335040 364356 404840 417600 418800 455445 485808 502560 506050 558400 607260 628200 647744 728712 759075 809680 837600 910890 971616 1005120 1012100 1214520 1256400 1457424 1518150 1619360 1675200 1821780 1943232 2024200 2277225 2429040 2512800 2914848 3036300 3238720 3643560 4048400 4554450 4858080 5025600 5829696 6072600 7287120 8096800 9108900 9716160 12145200 14574240 16193600 18217800 24290400 29148480 36435600 48580800 72871200 145742400
- Sum of all divisors σ(n): 537400500
- Sum of proper divisors (its aliquot sum) s(n): 391658100
- 145742400 is an abundant number, because the sum of its proper divisors (391658100) is greater than itself. Its abundance is 245915700
Bases of 145742400
- Binary: 10001010111111011010010000002
- Hexadecimal: 0x8AFDA40
- Base-36: 2ERRK0
Squares and roots of 145742400
- 145742400 squared (1457424002) is 21240847157760000
- 145742400 cubed (1457424003) is 3095692042805121024000000
-
The
square root of 145742400 is 12072.3817037071 -
The
cube root of 145742400 is 526.2538736989
Scales and comparisons
How big is 145742400?- 145,742,400 seconds is equal to 4 years, 32 weeks, 6 days, 20 hours.
-
To count from 1 to 145,742,400 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 145742400 cubic inches would be around 43.9 feet tall.
Recreational maths with 145742400
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 145742400 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
APA style:
Numbermatics. (2024). Number 145742400 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/145742400/
Chicago style:
Numbermatics. 2024. "Number 145742400 - Facts about the integer". https://numbermatics.com/n/145742400/
The information we have on file for 145742400 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 145742400, math, Factors of 145742400, curriculum, school, college, exams, university, Prime factorization of 145742400, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-five million, seven hundred forty-two thousand, four hundred.