146136480
146,136,480 is an even composite number composed of seven prime numbers multiplied together.
146136480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 146136480:
25 × 3 × 5 × 7 × 23 × 31 × 61
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 23 × 31 × 61)See below for interesting mathematical facts about the number 146136480 from the Numbermatics database.
Names of 146136480
- Cardinal: 146136480 can be written as One hundred forty-six million, one hundred thirty-six thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.4613648 × 108
Factors of 146136480
Divisors of 146136480
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 31 32 35 40 42 46 48 56 60 61 62 69 70 80 84 92 93 96 105 112 115 120 122 124 138 140 155 160 161 168 183 184 186 210 217 224 230 240 244 248 276 280 305 310 322 336 345 366 368 372 420 427 434 460 465 480 483 488 496 552 560 610 620 644 651 672 690 713 732 736 744 805 840 854 868 915 920 930 966 976 992 1085 1104 1120 1220 1240 1281 1288 1302 1380 1403 1426 1464 1488 1610 1680 1708 1736 1830 1840 1860 1891 1932 1952 2135 2139 2170 2208 2415 2440 2480 2562 2576 2604 2760 2806 2852 2928 2976 3220 3255 3360 3416 3472 3565 3660 3680 3720 3782 3864 4209 4270 4278 4340 4830 4880 4960 4991 5124 5152 5208 5520 5612 5673 5704 5856 6405 6440 6510 6832 6944 7015 7130 7320 7440 7564 7728 8418 8540 8556 8680 9455 9660 9760 9821 9982 10248 10416 10695 11040 11224 11346 11408 12810 12880 13020 13237 13664 14030 14260 14640 14880 14973 15128 15456 16836 17080 17112 17360 18910 19320 19642 19964 20496 20832 21045 21390 22448 22692 22816 24955 25620 25760 26040 26474 28060 28365 28520 29280 29463 29946 30256 33672 34160 34224 34720 37820 38640 39284 39711 39928 40992 42090 42780 43493 44896 45384 49105 49910 51240 52080 52948 56120 56730 57040 58926 59892 60512 66185 67344 68320 68448 74865 75640 77280 78568 79422 79856 84180 85560 86986 90768 98210 99820 102480 104160 105896 112240 113460 114080 117852 119784 130479 132370 134688 147315 149730 151280 157136 158844 159712 168360 171120 173972 181536 196420 198555 199640 204960 211792 217465 224480 226920 235704 239568 260958 264740 294630 299460 302560 304451 314272 317688 336720 342240 347944 392840 397110 399280 423584 434930 453840 471408 479136 521916 529480 589260 598920 608902 635376 652395 673440 695888 785680 794220 798560 869860 907680 913353 942816 1043832 1058960 1178520 1197840 1217804 1270752 1304790 1391776 1522255 1571360 1588440 1739720 1826706 2087664 2117920 2357040 2395680 2435608 2609580 3044510 3176880 3479440 3653412 4175328 4566765 4714080 4871216 5219160 6089020 6353760 6958880 7306824 9133530 9742432 10438320 12178040 14613648 18267060 20876640 24356080 29227296 36534120 48712160 73068240 146136480
- Sum of all divisors σ(n): 575963136
- Sum of proper divisors (its aliquot sum) s(n): 429826656
- 146136480 is an abundant number, because the sum of its proper divisors (429826656) is greater than itself. Its abundance is 283690176
Bases of 146136480
- Binary: 10001011010111011101101000002
- Hexadecimal: 0x8B5DDA0
- Base-36: 2F07MO
Squares and roots of 146136480
- 146136480 squared (1461364802) is 21355870786790400
- 146136480 cubed (1461364803) is 3120871784116379553792000
-
The
square root of 146136480 is 12088.6922369627 -
The
cube root of 146136480 is 526.7277680183
Scales and comparisons
How big is 146136480?- 146,136,480 seconds is equal to 4 years, 33 weeks, 4 days, 9 hours, 28 minutes.
-
To count from 1 to 146,136,480 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 146136480 cubic inches would be around 43.9 feet tall.
Recreational maths with 146136480
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 146136480 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
APA style:
Numbermatics. (2024). Number 146136480 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/146136480/
Chicago style:
Numbermatics. 2024. "Number 146136480 - Facts about the integer". https://numbermatics.com/n/146136480/
The information we have on file for 146136480 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 146136480, math, Factors of 146136480, curriculum, school, college, exams, university, Prime factorization of 146136480, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-six million, one hundred thirty-six thousand, four hundred eighty.