117388320
117,388,320 is an even composite number composed of six prime numbers multiplied together.
117388320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 117388320:
25 × 3 × 5 × 73 × 23 × 31
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 23 × 31)See below for interesting mathematical facts about the number 117388320 from the Numbermatics database.
Names of 117388320
- Cardinal: 117388320 can be written as One hundred seventeen million, three hundred eighty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.1738832 × 108
Factors of 117388320
Divisors of 117388320
- 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 49 56 60 62 69 70 80 84 92 93 96 98 105 112 115 120 124 138 140 147 155 160 161 168 184 186 196 210 217 224 230 240 245 248 276 280 294 310 322 336 343 345 368 372 392 420 434 460 465 480 483 490 496 552 560 588 620 644 651 672 686 690 713 735 736 744 784 805 840 868 920 930 966 980 992 1029 1085 1104 1120 1127 1176 1240 1288 1302 1372 1380 1426 1470 1488 1519 1568 1610 1680 1715 1736 1840 1860 1932 1960 2058 2139 2170 2208 2254 2352 2415 2480 2576 2604 2744 2760 2852 2940 2976 3038 3220 3255 3360 3381 3430 3472 3565 3680 3720 3864 3920 4116 4278 4340 4508 4557 4704 4830 4960 4991 5145 5152 5208 5488 5520 5635 5704 5880 6076 6440 6510 6762 6860 6944 7130 7440 7595 7728 7840 7889 8232 8556 8680 9016 9114 9660 9982 10290 10416 10633 10695 10976 11040 11270 11408 11760 12152 12880 13020 13524 13720 14260 14880 14973 15190 15456 15778 16464 16905 17112 17360 18032 18228 19320 19964 20580 20832 21266 21390 22540 22785 22816 23520 23667 24304 24955 25760 26040 27048 27440 28520 29946 30380 31556 31899 32928 33810 34224 34720 34937 36064 36456 38640 39445 39928 41160 42532 42780 45080 45570 47334 48608 49910 52080 53165 54096 54880 57040 59892 60760 63112 63798 67620 68448 69874 72912 74865 77280 78890 79856 82320 85064 85560 90160 91140 94668 99820 104160 104811 106330 108192 114080 118335 119784 121520 126224 127596 135240 139748 145824 149730 157780 159495 159712 164640 170128 171120 174685 180320 182280 189336 199640 209622 212660 236670 239568 243040 244559 252448 255192 270480 279496 299460 315560 318990 340256 342240 349370 364560 378672 399280 419244 425320 473340 479136 489118 510384 524055 540960 558992 598920 631120 637980 698740 729120 733677 757344 798560 838488 850640 946680 978236 1020768 1048110 1117984 1197840 1222795 1262240 1275960 1397480 1467354 1676976 1701280 1893360 1956472 2096220 2395680 2445590 2551920 2794960 2934708 3353952 3668385 3786720 3912944 4192440 4891180 5103840 5589920 5869416 7336770 7825888 8384880 9782360 11738832 14673540 16769760 19564720 23477664 29347080 39129440 58694160 117388320
- Sum of all divisors σ(n): 464486400
- Sum of proper divisors (its aliquot sum) s(n): 347098080
- 117388320 is an abundant number, because the sum of its proper divisors (347098080) is greater than itself. Its abundance is 229709760
Bases of 117388320
- Binary: 1101111111100110100001000002
- Hexadecimal: 0x6FF3420
- Base-36: 1XW1EO
Squares and roots of 117388320
- 117388320 squared (1173883202) is 13780017672422400
- 117388320 cubed (1173883203) is 1617613124135975866368000
-
The
square root of 117388320 is 10834.5890554279 -
The
cube root of 117388320 is 489.6378276123
Scales and comparisons
How big is 117388320?- 117,388,320 seconds is equal to 3 years, 38 weeks, 15 hours, 52 minutes.
-
To count from 1 to 117,388,320 would take you about five 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 117388320 cubic inches would be around 40.8 feet tall.
Recreational maths with 117388320
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 117388320 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 117388320 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/117388320/
Chicago style:
Numbermatics. 2024. "Number 117388320 - Facts about the integer". https://numbermatics.com/n/117388320/
The information we have on file for 117388320 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 117388320, math, Factors of 117388320, curriculum, school, college, exams, university, Prime factorization of 117388320, STEM, science, technology, engineering, physics, economics, calculator, one hundred seventeen million, three hundred eighty-eight thousand, three hundred twenty.