14382200144000
14,382,200,144,000 is an even composite number composed of six prime numbers multiplied together.
14382200144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 14382200144000:
27 × 53 × 132 × 29 × 37 × 4957
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 29 × 37 × 4957)See below for interesting mathematical facts about the number 14382200144000 from the Numbermatics database.
Names of 14382200144000
- Cardinal: 14382200144000 can be written as Fourteen trillion, three hundred eighty-two billion, two hundred million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.4382200144 × 1013
Factors of 14382200144000
Divisors of 14382200144000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 29 32 37 40 50 52 58 64 65 74 80 100 104 116 125 128 130 145 148 160 169 185 200 208 232 250 260 290 296 320 325 338 370 377 400 416 464 481 500 520 580 592 640 650 676 725 740 754 800 832 845 925 928 962 1000 1040 1073 1160 1184 1300 1352 1450 1480 1508 1600 1625 1664 1690 1850 1856 1885 1924 2000 2080 2146 2320 2368 2405 2600 2704 2900 2960 3016 3200 3250 3380 3625 3700 3712 3770 3848 4000 4160 4225 4292 4625 4640 4736 4810 4901 4957 5200 5365 5408 5800 5920 6032 6253 6500 6760 7250 7400 7540 7696 8000 8320 8450 8584 9250 9280 9425 9620 9802 9914 10400 10730 10816 11600 11840 12025 12064 12506 13000 13520 13949 14500 14800 15080 15392 16000 16900 17168 18500 18560 18850 19240 19604 19828 20800 21125 21460 21632 23200 23680 24050 24128 24505 24785 25012 26000 26825 27040 27898 29000 29600 30160 30784 31265 33800 34336 37000 37700 38480 39208 39656 41600 42250 42920 46400 47125 48100 48256 49010 49570 50024 52000 53650 54080 55796 58000 59200 60125 60320 61568 62530 64441 67600 68672 69745 74000 75400 76960 78416 79312 84500 85840 92800 94250 96200 98020 99140 100048 104000 107300 108160 111592 116000 118400 120250 120640 122525 123925 125060 128882 134125 135200 137344 139490 143753 148000 150800 153920 156325 156832 158624 169000 171680 181337 183409 188500 192400 196040 198280 200096 208000 214600 223184 232000 240500 241280 245050 247850 250120 257764 268250 270400 278980 287506 296000 301600 307840 312650 313664 317248 322205 338000 343360 348725 362674 366818 377000 384800 392080 396560 400192 429200 446368 464000 481000 490100 495700 500240 515528 536500 540800 557960 575012 592000 603200 612625 619625 625300 627328 634496 644410 676000 686720 697450 718765 725348 733636 754000 769600 781625 784160 793120 800384 837733 858400 892736 906685 917045 962000 980200 991400 1000480 1031056 1073000 1115920 1150024 1206400 1225250 1239250 1250600 1288820 1352000 1394900 1437530 1450696 1467272 1508000 1539200 1563250 1568320 1586240 1611025 1675466 1716800 1743625 1785472 1813370 1834090 1868789 1924000 1960400 1982800 2000960 2062112 2146000 2231840 2300048 2384317 2450500 2478500 2501200 2577640 2704000 2789800 2875060 2901392 2934544 3016000 3126500 3136640 3172480 3222050 3350932 3433600 3487250 3593825 3626740 3668180 3737578 3848000 3920800 3965600 4001920 4124224 4188665 4292000 4463680 4533425 4585225 4600096 4768634 4901000 4957000 5002400 5155280 5318861 5579600 5750120 5802784 5869088 6032000 6253000 6444100 6701864 6974500 7187650 7253480 7336360 7475156 7696000 7841600 7931200 8055125 8248448 8377330 8584000 8927360 9066850 9170450 9200192 9343945 9537268 9802000 9914000 10004800 10310560 10637722 11159200 11500240 11605568 11738176 11921585 12506000 12888200 13403728 13949000 14375300 14506960 14672720 14950312 15683200 15862400 16110250 16754660 17168000 17969125 18133700 18340900 18400384 18687890 19074536 19604000 19828000 20009600 20621120 20943325 21275444 22318400 22667125 22926125 23000480 23211136 23476352 23843170 24294257 25012000 25776400 26594305 26807456 27898000 28750600 29013920 29345440 29900624 30996121 32220500 33509320 35938250 36267400 36681800 37375780 38149072 39208000 39656000 41242240 41886650 42550888 44636800 45334250 45852250 46000960 46719725 47686340 48588514 50024000 51552800 53188610 53614912 55796000 57501200 58027840 58690880 59607925 59801248 61992242 64441000 67018640 69145193 71876500 72534800 73363600 74751560 76298144 78416000 79312000 83773300 85101776 90668500 91704500 92001920 93439450 95372680 97177028 100048000 103105600 104716625 106377220 107229824 111592000 115002400 116055680 117381760 119215850 119602496 121471285 123984484 128882000 132971525 134037280 138290386 143753000 145069600 146727200 149503120 152596288 154980605 167546600 170203552 181337000 183409000 186878900 190745360 194354056 206211200 209433250 212754440 223184000 230004800 233598625 238431700 239204992 242942570 247968968 257764000 265943050 268074560 276580772 287506000 290139200 293454400 298039625 299006240 305192576 309961210 335093200 340407104 345725965 362674000 366818000 373757800 381490720 388708112 418866500 425508880 460009600 467197250 476863400 485885140 495937936 515528000 531886100 536149120 553161544 575012000 580278400 586908800 596079250 598012480 607356425 619922420 664857625 670186400 680814208 691451930 725348000 733636000 747515600 762981440 774903025 777416224 837733000 851017760 898887509 934394500 953726800 971770280 991875872 1031056000 1063772200 1106323088 1150024000 1192158500 1196024960 1214712850 1239844840 1329715250 1340372800 1382903860 1450696000 1467272000 1495031200 1525962880 1549806050 1554832448 1675466000 1702035520 1728629825 1797775018 1868789000 1907453600 1943540560 1983751744 2127544400 2212646176 2300048000 2384317000 2429425700 2479689680 2659430500 2680745600 2765807720 2901392000 2934544000 2990062400 3036782125 3099612100 3109664896 3350932000 3404071040 3457259650 3595550036 3737578000 3814907200 3874515125 3887081120 3967503488 4255088800 4425292352 4494437545 4768634000 4858851400 4959379360 5318861000 5531615440 5980124800 6073564250 6199224200 6701864000 6914519300 7191100072 7475156000 7629814400 7749030250 7774162240 8510177600 8643149125 8850584704 8988875090 9537268000 9717702800 9918758720 10637722000 11063230880 12147128500 12398448400 13403728000 13829038600 14382200144 14950312000 15498060500 15548324480 17020355200 17286298250 17977750180 19074536000 19435405600 19837517440 21275444000 22126461760 22472187725 24294257000 24796896800 27658077200 28764400288 29900624000 30996121000 34572596500 35955500360 38149072000 38870811200 42550888000 44252923520 44944375450 48588514000 49593793600 55316154400 57528800576 61992242000 69145193000 71911000720 77741622400 85101776000 89888750900 97177028000 99187587200 110632308800 112360938625 115057601152 123984484000 138290386000 143822001440 179777501800 194354056000 221264617600 224721877250 247968968000 276580772000 287644002880 359555003600 388708112000 449443754500 495937936000 553161544000 575288005760 719110007200 898887509000 1106323088000 1438220014400 1797775018000 2876440028800 3595550036000 7191100072000 14382200144000
- Sum of all divisors σ(n): 41145964048800
- Sum of proper divisors (its aliquot sum) s(n): 26763763904800
- 14382200144000 is an abundant number, because the sum of its proper divisors (26763763904800) is greater than itself. Its abundance is 12381563760800
Bases of 14382200144000
- Binary: 110100010100100111011110111001000000100000002
- Hexadecimal: 0xD149DEE4080
- Base-36: 53J3AMMBK
Squares and roots of 14382200144000
- 14382200144000 squared (143822001440002) is 206847680982073620736000000
- 14382200144000 cubed (143822001440003) is 2974924747206445289567900585984000000000
-
The
square root of 14382200144000 is 3792387.1300277349 -
The
cube root of 14382200144000 is 24318.7795602503
Scales and comparisons
How big is 14382200144000?- 14,382,200,144,000 seconds is equal to 457,309 years, 24 weeks, 5 days, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 14,382,200,144,000 would take you about one million, one hundred forty-three thousand, two hundred seventy-three 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 14382200144000 cubic inches would be around 2026.6 feet tall.
Recreational maths with 14382200144000
- 14382200144000 backwards is 00044100228341
- 14382200144000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 14382200144000's digits is 29
- 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 14382200144000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 April 2024.
APA style:
Numbermatics. (2024). Number 14382200144000 - Facts about the integer. Retrieved 29 April 2024, from https://numbermatics.com/n/14382200144000/
Chicago style:
Numbermatics. 2024. "Number 14382200144000 - Facts about the integer". https://numbermatics.com/n/14382200144000/
The information we have on file for 14382200144000 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 14382200144000, math, Factors of 14382200144000, curriculum, school, college, exams, university, Prime factorization of 14382200144000, STEM, science, technology, engineering, physics, economics, calculator, fourteen trillion, three hundred eighty-two billion, two hundred million, one hundred forty-four thousand.