123144424416
123,144,424,416 is an even composite number composed of six prime numbers multiplied together.
123144424416 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 123144424416:
25 × 34 × 13 × 61 × 181 × 331
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 61 × 181 × 331)See below for interesting mathematical facts about the number 123144424416 from the Numbermatics database.
Names of 123144424416
- Cardinal: 123144424416 can be written as One hundred twenty-three billion, one hundred forty-four million, four hundred twenty-four thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.23144424416 × 1011
Factors of 123144424416
Divisors of 123144424416
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 61 72 78 81 96 104 108 117 122 144 156 162 181 183 208 216 234 244 288 312 324 331 351 362 366 416 432 468 488 543 549 624 648 662 702 724 732 793 864 936 976 993 1053 1086 1098 1248 1296 1324 1404 1448 1464 1586 1629 1647 1872 1952 1986 2106 2172 2196 2353 2379 2592 2648 2808 2896 2928 2979 3172 3258 3294 3744 3972 4212 4303 4344 4392 4706 4758 4887 4941 5296 5616 5792 5856 5958 6344 6516 6588 7059 7137 7944 8424 8606 8688 8784 8937 9412 9516 9774 9882 10592 11041 11232 11916 12688 12909 13032 13176 14118 14274 14661 15888 16848 17212 17376 17568 17874 18824 19032 19548 19764 20191 21177 21411 22082 23832 25376 25818 26064 26352 26811 28236 28548 29322 31776 33123 33696 34424 35748 37648 38064 38727 39096 39528 40382 42354 42822 44164 47664 51636 52128 52704 53622 56472 57096 58644 59911 60573 63531 64233 66246 68848 71496 75296 76128 77454 78192 79056 80764 84708 85644 88328 95328 99369 103272 107244 112944 114192 116181 117288 119822 121146 127062 128466 132492 137696 142992 143533 154908 156384 158112 161528 169416 171288 176656 179733 181719 190593 198738 206544 214488 225888 228384 232362 234576 239644 242292 254124 256932 262483 264984 285984 287066 298107 309816 323056 338832 342576 348543 353312 359466 363438 381186 397476 413088 428976 430599 464724 469152 479288 484584 508248 513864 524966 529968 539199 545157 574132 596214 619632 646112 677664 685152 697086 718932 726876 762372 778843 787449 794952 857952 861198 894321 929448 958576 969168 1016496 1027728 1049932 1059936 1078398 1090314 1148264 1192428 1239264 1291797 1394172 1437864 1453752 1524744 1557686 1574898 1589904 1617597 1635471 1722396 1788642 1858896 1917152 1938336 2032992 2055456 2099864 2156796 2180628 2296528 2336529 2362347 2384856 2583594 2788344 2875728 2907504 3049488 3115372 3149796 3179808 3235194 3270942 3444792 3577284 3654571 3717792 3875391 4199728 4313592 4361256 4593056 4673058 4724694 4769712 4852791 5167188 5576688 5751456 5815008 6098976 6230744 6299592 6470388 6541884 6889584 7009587 7087041 7154568 7309142 7750782 8399456 8627184 8722512 9346116 9449388 9539424 9705582 10334376 10963713 11153376 11626173 12461488 12599184 12940776 13083768 13779168 14019174 14174082 14309136 14618284 15501564 17254368 17445024 18692232 18898776 19411164 20668752 21028761 21261123 21927426 23252346 24922976 25198368 25881552 26167536 28038348 28348164 28618272 29236568 31003128 32891139 37384464 37797552 38822328 41337504 42057522 42522246 43854852 46504692 47509423 51763104 52335072 56076696 56696328 58473136 62006256 63086283 65782278 74768928 75595104 77644656 84115044 85044492 87709704 93009384 95018846 98673417 112153392 113392656 116946272 124012512 126172566 131564556 142528269 155289312 168230088 170088984 175419408 186018768 190037692 197346834 224306784 226785312 252345132 263129112 285056538 296020251 336460176 340177968 350838816 372037536 380075384 394693668 427584807 504690264 526258224 570113076 592040502 672920352 680355936 760150768 789387336 855169614 1009380528 1052516448 1140226152 1184081004 1282754421 1520301536 1578774672 1710339228 2018761056 2280452304 2368162008 2565508842 3157549344 3420678456 3848263263 4560904608 4736324016 5131017684 6841356912 7696526526 9472648032 10262035368 13682713824 15393053052 20524070736 30786106104 41048141472 61572212208 123144424416
- Sum of all divisors σ(n): 399811347936
- Sum of proper divisors (its aliquot sum) s(n): 276666923520
- 123144424416 is an abundant number, because the sum of its proper divisors (276666923520) is greater than itself. Its abundance is 153522499104
Bases of 123144424416
- Binary: 11100101010111111101011001011111000002
- Hexadecimal: 0x1CABFACBE0
- Base-36: 1KKL0E00
Squares and roots of 123144424416
- 123144424416 squared (1231444244162) is 15164549264747936941056
- 123144424416 cubed (1231444244163) is 1867429690735460693929804839223296
-
The
square root of 123144424416 is 350919.3987456379 -
The
cube root of 123144424416 is 4975.1355489915
Scales and comparisons
How big is 123144424416?- 123,144,424,416 seconds is equal to 3,915 years, 31 weeks, 5 days, 16 hours, 33 minutes, 36 seconds.
-
To count from 1 to 123,144,424,416 would take you about seven thousand, eight hundred thirty-one 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 123144424416 cubic inches would be around 414.6 feet tall.
Recreational maths with 123144424416
- 123144424416 backwards is 614424441321
- 123144424416 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 123144424416's digits is 36
- 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 123144424416 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
APA style:
Numbermatics. (2024). Number 123144424416 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/123144424416/
Chicago style:
Numbermatics. 2024. "Number 123144424416 - Facts about the integer". https://numbermatics.com/n/123144424416/
The information we have on file for 123144424416 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 123144424416, math, Factors of 123144424416, curriculum, school, college, exams, university, Prime factorization of 123144424416, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-three billion, one hundred forty-four million, four hundred twenty-four thousand, four hundred sixteen.