13978435968
13,978,435,968 is an even composite number composed of six prime numbers multiplied together.
13978435968 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 13978435968:
27 × 32 × 7 × 61 × 157 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 61 × 157 × 181)See below for interesting mathematical facts about the number 13978435968 from the Numbermatics database.
Names of 13978435968
- Cardinal: 13978435968 can be written as Thirteen billion, nine hundred seventy-eight million, four hundred thirty-five thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3978435968 × 1010
Factors of 13978435968
Divisors of 13978435968
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 61 63 64 72 84 96 112 122 126 128 144 157 168 181 183 192 224 244 252 288 314 336 362 366 384 427 448 471 488 504 543 549 576 628 672 724 732 854 896 942 976 1008 1086 1098 1099 1152 1256 1267 1281 1344 1413 1448 1464 1629 1708 1884 1952 2016 2172 2196 2198 2512 2534 2562 2688 2826 2896 2928 3258 3297 3416 3768 3801 3843 3904 4032 4344 4392 4396 5024 5068 5124 5652 5792 5856 6516 6594 6832 7536 7602 7686 7808 8064 8688 8784 8792 9577 9891 10048 10136 10248 11041 11304 11403 11584 11712 13032 13188 13664 15072 15204 15372 17376 17568 17584 19154 19782 20096 20272 20496 22082 22608 22806 23168 23424 26064 26376 27328 28417 28731 30144 30408 30744 33123 34752 35136 35168 38308 39564 40544 40992 44164 45216 45612 52128 52752 54656 56834 57462 60288 60816 61488 66246 67039 69504 70272 70336 76616 77287 79128 81088 81984 85251 86193 88328 90432 91224 99369 104256 105504 113668 114924 121632 122976 132492 134078 140672 153232 154574 158256 162176 163968 170502 172386 176656 180864 182448 198738 198919 201117 208512 211008 227336 229848 231861 243264 245952 255753 264984 268156 306464 309148 316512 341004 344772 353312 364896 397476 397838 402234 422016 454672 459696 463722 486528 491904 511506 529968 536312 596757 603351 612928 618296 633024 682008 689544 695583 706624 729792 794952 795676 804468 909344 919392 927444 1023012 1059936 1072624 1193514 1206702 1225856 1236592 1266048 1364016 1379088 1391166 1413248 1459584 1589904 1591352 1608936 1733437 1790271 1818688 1838784 1854888 2046024 2119872 2145248 2387028 2413404 2473184 2728032 2758176 2782332 3179808 3182704 3217872 3466874 3580542 3637376 3677568 3709776 4092048 4239744 4290496 4774056 4826808 4946368 5200311 5456064 5516352 5564664 6359616 6365408 6435744 6933748 7161084 7419552 8184096 8580992 9548112 9653616 9892736 10400622 10912128 11032704 11129328 12134059 12719232 12730816 12871488 13867496 14322168 14839104 15600933 16368192 19096224 19307232 20801244 22258656 24268118 25461632 25742976 27734992 28644336 29678208 31201866 32736384 36402177 38192448 38614464 41602488 44517312 48536236 55469984 57288672 62403732 72804354 76384896 77228928 83204976 89034624 97072472 109206531 110939968 114577344 124807464 145608708 166409952 194144944 218413062 221879936 229154688 249614928 291217416 332819904 388289888 436826124 499229856 582434832 665639808 776579776 873652248 998459712 1164869664 1553159552 1747304496 1996919424 2329739328 3494608992 4659478656 6989217984 13978435968
- Sum of all divisors σ(n): 47281765440
- Sum of proper divisors (its aliquot sum) s(n): 33303329472
- 13978435968 is an abundant number, because the sum of its proper divisors (33303329472) is greater than itself. Its abundance is 19324893504
Bases of 13978435968
- Binary: 11010000010010111000000001100000002
- Hexadecimal: 0x3412E0180
- Base-36: 6F6EE80
Squares and roots of 13978435968
- 13978435968 squared (139784359682) is 195396672111476097024
- 13978435968 cubed (139784359683) is 2731339869470559980212539359232
-
The
square root of 13978435968 is 118230.4358784149 -
The
cube root of 13978435968 is 2408.9041905583
Scales and comparisons
How big is 13978435968?- 13,978,435,968 seconds is equal to 444 years, 24 weeks, 3 days, 10 hours, 52 minutes, 48 seconds.
-
To count from 1 to 13,978,435,968 would take you about eight hundred eighty-eight 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 13978435968 cubic inches would be around 200.7 feet tall.
Recreational maths with 13978435968
- 13978435968 backwards is 86953487931
- 13978435968 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13978435968's digits is 63
- 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 13978435968 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 13978435968 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/13978435968/
Chicago style:
Numbermatics. 2024. "Number 13978435968 - Facts about the integer". https://numbermatics.com/n/13978435968/
The information we have on file for 13978435968 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 13978435968, math, Factors of 13978435968, curriculum, school, college, exams, university, Prime factorization of 13978435968, STEM, science, technology, engineering, physics, economics, calculator, thirteen billion, nine hundred seventy-eight million, four hundred thirty-five thousand, nine hundred sixty-eight.