148315200
148,315,200 is an even composite number composed of five prime numbers multiplied together.
148315200 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 148315200:
26 × 3 × 52 × 11 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 53 × 53)See below for interesting mathematical facts about the number 148315200 from the Numbermatics database.
Names of 148315200
- Cardinal: 148315200 can be written as One hundred forty-eight million, three hundred fifteen thousand, two hundred.
Scientific notation
- Scientific notation: 1.483152 × 108
Factors of 148315200
Divisors of 148315200
- Number of divisors d(n): 252
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 53 55 60 64 66 75 80 88 96 100 106 110 120 132 150 159 160 165 176 192 200 212 220 240 264 265 275 300 318 320 330 352 400 424 440 480 528 530 550 583 600 636 660 704 795 800 825 848 880 960 1056 1060 1100 1166 1200 1272 1320 1325 1590 1600 1650 1696 1749 1760 2112 2120 2200 2332 2400 2544 2640 2650 2809 2915 3180 3300 3392 3498 3520 3975 4240 4400 4664 4800 5088 5280 5300 5618 5830 6360 6600 6996 7950 8427 8480 8745 8800 9328 10176 10560 10600 11236 11660 12720 13200 13992 14045 14575 15900 16854 16960 17490 17600 18656 21200 22472 23320 25440 26400 27984 28090 29150 30899 31800 33708 34980 37312 42135 42400 43725 44944 46640 50880 52800 55968 56180 58300 61798 63600 67416 69960 70225 84270 84800 87450 89888 92697 93280 111936 112360 116600 123596 127200 134832 139920 140450 154495 168540 174900 179776 185394 186560 210675 224720 233200 247192 254400 269664 279840 280900 308990 337080 349800 370788 421350 449440 463485 466400 494384 539328 559680 561800 617980 674160 699600 741576 772475 842700 898880 926970 932800 988768 1123600 1235960 1348320 1399200 1483152 1544950 1685400 1853940 1977536 2247200 2317425 2471920 2696640 2798400 2966304 3089900 3370800 3707880 4494400 4634850 4943840 5932608 6179800 6741600 7415760 9269700 9887680 12359600 13483200 14831520 18539400 24719200 29663040 37078800 49438400 74157600 148315200
- Sum of all divisors σ(n): 541038288
- Sum of proper divisors (its aliquot sum) s(n): 392723088
- 148315200 is an abundant number, because the sum of its proper divisors (392723088) is greater than itself. Its abundance is 244407888
Bases of 148315200
- Binary: 10001101011100011100010000002
- Hexadecimal: 0x8D71C40
- Base-36: 2GAWQO
Squares and roots of 148315200
- 148315200 squared (1483152002) is 21997398551040000
- 148315200 cubed (1483152003) is 3262548565577207808000000
-
The
square root of 148315200 is 12178.4728106607 -
The
cube root of 148315200 is 529.3324929965
Scales and comparisons
How big is 148315200?- 148,315,200 seconds is equal to 4 years, 37 weeks, 1 day, 14 hours, 40 minutes.
-
To count from 1 to 148,315,200 would take you about seven 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 148315200 cubic inches would be around 44.1 feet tall.
Recreational maths with 148315200
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 148315200 - Facts about the integer". Numbermatics.com. 2024. Web. 29 March 2024.
APA style:
Numbermatics. (2024). Number 148315200 - Facts about the integer. Retrieved 29 March 2024, from https://numbermatics.com/n/148315200/
Chicago style:
Numbermatics. 2024. "Number 148315200 - Facts about the integer". https://numbermatics.com/n/148315200/
The information we have on file for 148315200 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 148315200, math, Factors of 148315200, curriculum, school, college, exams, university, Prime factorization of 148315200, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-eight million, three hundred fifteen thousand, two hundred.