144469920
144,469,920 is an even composite number composed of seven prime numbers multiplied together.
144469920 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 144469920:
25 × 3 × 5 × 7 × 19 × 31 × 73
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 19 × 31 × 73)See below for interesting mathematical facts about the number 144469920 from the Numbermatics database.
Names of 144469920
- Cardinal: 144469920 can be written as One hundred forty-four million, four hundred sixty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.4446992 × 108
Factors of 144469920
Divisors of 144469920
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 31 32 35 38 40 42 48 56 57 60 62 70 73 76 80 84 93 95 96 105 112 114 120 124 133 140 146 152 155 160 168 186 190 210 217 219 224 228 240 248 266 280 285 292 304 310 336 365 372 380 399 420 434 438 456 465 480 496 511 532 560 570 584 589 608 620 651 665 672 730 744 760 798 840 868 876 912 930 992 1022 1064 1085 1095 1120 1140 1168 1178 1240 1302 1330 1387 1460 1488 1520 1533 1596 1680 1736 1752 1767 1824 1860 1995 2044 2128 2170 2190 2263 2280 2336 2356 2480 2555 2604 2660 2774 2920 2945 2976 3040 3066 3192 3255 3360 3472 3504 3534 3720 3990 4088 4123 4161 4256 4340 4380 4526 4560 4712 4960 5110 5208 5320 5548 5840 5890 6132 6384 6510 6789 6935 6944 7008 7068 7440 7665 7980 8176 8246 8322 8680 8760 8835 9052 9120 9424 9709 10220 10416 10640 11096 11315 11680 11780 12264 12369 12768 13020 13578 13870 14136 14880 15330 15841 15960 16352 16492 16644 17360 17520 17670 18104 18848 19418 20440 20615 20805 20832 21280 22192 22630 23560 24528 24738 26040 27156 27740 28272 29127 30660 31682 31920 32984 33288 33945 34720 35040 35340 36208 38836 40880 41230 41610 42997 44384 45260 47120 47523 48545 49056 49476 52080 54312 55480 56544 58254 61320 61845 63364 63840 65968 66576 67890 70680 72416 77672 79205 81760 82460 83220 85994 90520 94240 95046 97090 98952 104160 108624 110960 116508 122640 123690 126728 128991 131936 133152 135780 141360 145635 155344 158410 164920 166440 171988 181040 190092 194180 197904 214985 217248 221920 233016 237615 245280 247380 253456 257982 271560 282720 291270 300979 310688 316820 329840 332880 343976 362080 380184 388360 395808 429970 466032 475230 494760 506912 515964 543120 582540 601958 633640 644955 659680 665760 687952 760368 776720 859940 902937 932064 950460 989520 1031928 1086240 1165080 1203916 1267280 1289910 1375904 1504895 1520736 1553440 1719880 1805874 1900920 1979040 2063856 2330160 2407832 2534560 2579820 3009790 3439760 3611748 3801840 4127712 4514685 4660320 4815664 5159640 6019580 6879520 7223496 7603680 9029370 9631328 10319280 12039160 14446992 18058740 20638560 24078320 28893984 36117480 48156640 72234960 144469920
- Sum of all divisors σ(n): 572866560
- Sum of proper divisors (its aliquot sum) s(n): 428396640
- 144469920 is an abundant number, because the sum of its proper divisors (428396640) is greater than itself. Its abundance is 283926720
Bases of 144469920
- Binary: 10001001110001101111101000002
- Hexadecimal: 0x89C6FA0
- Base-36: 2E0HPC
Squares and roots of 144469920
- 144469920 squared (1444699202) is 20871557784806400
- 144469920 cubed (1444699203) is 3015312283446357823488000
-
The
square root of 144469920 is 12019.5640519945 -
The
cube root of 144469920 is 524.7178166097
Scales and comparisons
How big is 144469920?- 144,469,920 seconds is equal to 4 years, 30 weeks, 6 days, 2 hours, 32 minutes.
-
To count from 1 to 144,469,920 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 144469920 cubic inches would be around 43.7 feet tall.
Recreational maths with 144469920
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 144469920 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
APA style:
Numbermatics. (2024). Number 144469920 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/144469920/
Chicago style:
Numbermatics. 2024. "Number 144469920 - Facts about the integer". https://numbermatics.com/n/144469920/
The information we have on file for 144469920 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 144469920, math, Factors of 144469920, curriculum, school, college, exams, university, Prime factorization of 144469920, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-four million, four hundred sixty-nine thousand, nine hundred twenty.