4144008406400
4,144,008,406,400 is an even composite number composed of six prime numbers multiplied together.
4144008406400 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 4144008406400:
27 × 52 × 19 × 29 × 37 × 63521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 19 × 29 × 37 × 63521)See below for interesting mathematical facts about the number 4144008406400 from the Numbermatics database.
Names of 4144008406400
- Cardinal: 4144008406400 can be written as Four trillion, one hundred forty-four billion, eight million, four hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 4.1440084064 × 1012
Factors of 4144008406400
Divisors of 4144008406400
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 29 32 37 38 40 50 58 64 74 76 80 95 100 116 128 145 148 152 160 185 190 200 232 290 296 304 320 370 380 400 464 475 551 580 592 608 640 703 725 740 760 800 925 928 950 1073 1102 1160 1184 1216 1406 1450 1480 1520 1600 1850 1856 1900 2146 2204 2320 2368 2432 2755 2812 2900 2960 3040 3200 3515 3700 3712 3800 4292 4408 4640 4736 5365 5510 5624 5800 5920 6080 7030 7400 7600 8584 8816 9280 10730 11020 11248 11600 11840 12160 13775 14060 14800 15200 17168 17575 17632 18560 20387 21460 22040 22496 23200 23680 26825 27550 28120 29600 30400 34336 35150 35264 40774 42920 44080 44992 46400 53650 55100 56240 59200 60800 63521 68672 70300 70528 81548 85840 88160 89984 92800 101935 107300 110200 112480 118400 127042 137344 140600 163096 171680 176320 203870 214600 220400 224960 254084 281200 317605 326192 343360 352640 407740 429200 440800 449920 508168 509675 562400 635210 652384 686720 815480 858400 881600 1016336 1019350 1124800 1206899 1270420 1304768 1588025 1630960 1716800 1763200 1842109 2032672 2038700 2249600 2350277 2413798 2540840 2609536 3176050 3261920 3433600 3684218 4065344 4077400 4700554 4827596 5081680 6034495 6352100 6523840 7368436 8130688 8154800 9210545 9401108 9655192 10163360 11751385 12068990 12704200 13047680 14736872 16309600 18421090 18802216 19310384 20326720 23502770 24137980 25408400 29473744 30172475 32619200 35000071 36842180 37604432 38620768 40653440 44655263 46052725 47005540 48275960 50816800 58756925 58947488 60344950 65238400 68158033 70000142 73684360 75208864 77241536 89310526 92105450 94011080 96551920 101633600 117513850 117894976 120689900 136316066 140000284 147368720 150417728 154483072 175000355 178621052 184210900 188022160 193103840 203267200 223276315 235027700 235789952 241379800 272632132 280000568 294737440 300835456 340790165 350000710 357242104 368421800 376044320 386207680 446552630 470055400 482759600 545264264 560001136 589474880 681580330 700001420 714484208 736843600 752088640 772415360 875001775 893105260 940110800 965519200 1090528528 1116381575 1120002272 1178949760 1295002627 1363160660 1400002840 1428968416 1473687200 1504177280 1703950825 1750003550 1786210520 1880221600 1931038400 2181057056 2232763150 2240004544 2590005254 2726321320 2800005680 2857936832 2947374400 3407901650 3500007100 3572421040 3760443200 3862076800 4362114112 4465526300 4480009088 5180010508 5452642640 5600011360 5715873664 5894748800 6475013135 6815803300 7000014200 7144842080 7520886400 8724228224 8931052600 10360021016 10905285280 11200022720 12950026270 13631606600 14000028400 14289684160 17862105200 20720042032 21810570560 22400045440 25900052540 27263213200 28000056800 28579368320 32375065675 35724210400 41440084064 43621141120 51800105080 54526426400 56000113600 64750131350 71448420800 82880168128 103600210160 109052852800 112000227200 129500262700 142896841600 165760336256 207200420320 218105705600 259000525400 414400840640 518001050800 828801681280 1036002101600 2072004203200 4144008406400
- Sum of all divisors σ(n): 11448824148000
- Sum of proper divisors (its aliquot sum) s(n): 7304815741600
- 4144008406400 is an abundant number, because the sum of its proper divisors (7304815741600) is greater than itself. Its abundance is 3160807335200
Bases of 4144008406400
- Binary: 1111000100110110100010011000100101100000002
- Hexadecimal: 0x3C4DA262580
- Base-36: 1GVQBLYM8
Squares and roots of 4144008406400
- 4144008406400 squared (41440084064002) is 17172805672313867560960000
- 4144008406400 cubed (41440084064003) is 71164251067542270911914504454144000000
-
The
square root of 4144008406400 is 2035683.7687617397 -
The
cube root of 4144008406400 is 16062.2682976585
Scales and comparisons
How big is 4144008406400?- 4,144,008,406,400 seconds is equal to 131,766 years, 33 weeks, 5 days, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 4,144,008,406,400 would take you about three hundred twenty-nine thousand, four hundred sixteen 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 4144008406400 cubic inches would be around 1338.5 feet tall.
Recreational maths with 4144008406400
- 4144008406400 backwards is 0046048004414
- The number of decimal digits it has is: 13
- The sum of 4144008406400's digits is 35
- More coming soon!
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 4144008406400 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
APA style:
Numbermatics. (2024). Number 4144008406400 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/4144008406400/
Chicago style:
Numbermatics. 2024. "Number 4144008406400 - Facts about the integer". https://numbermatics.com/n/4144008406400/
The information we have on file for 4144008406400 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 4144008406400, math, Factors of 4144008406400, curriculum, school, college, exams, university, Prime factorization of 4144008406400, STEM, science, technology, engineering, physics, economics, calculator, four trillion, one hundred forty-four billion, eight million, four hundred six thousand, four hundred.