4013327640987168
4,013,327,640,987,168 is an even composite number composed of six prime numbers multiplied together.
What does the number 4013327640987168 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
4013327640987168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 4013327640987168:
25 × 3 × 72 × 19 × 31 × 1448511703
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 19 × 31 × 1448511703)See below for interesting mathematical facts about the number 4013327640987168 from the Numbermatics database.
Names of 4013327640987168
- Cardinal: 4013327640987168 can be written as Four quadrillion, thirteen trillion, three hundred twenty-seven billion, six hundred forty million, nine hundred eighty-seven thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 4.013327640987168 × 1015
Factors of 4013327640987168
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 1448511765
Divisors of 4013327640987168
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 31 32 38 42 48 49 56 57 62 76 84 93 96 98 112 114 124 133 147 152 168 186 196 217 224 228 248 266 294 304 336 372 392 399 434 456 496 532 588 589 608 651 672 744 784 798 868 912 931 992 1064 1176 1178 1302 1488 1519 1568 1596 1736 1767 1824 1862 2128 2352 2356 2604 2793 2976 3038 3192 3472 3534 3724 4123 4256 4557 4704 4712 5208 5586 6076 6384 6944 7068 7448 8246 9114 9424 10416 11172 12152 12369 12768 14136 14896 16492 18228 18848 20832 22344 24304 24738 28272 28861 29792 32984 36456 44688 48608 49476 56544 57722 65968 72912 86583 89376 98952 115444 131936 145824 173166 197904 230888 346332 395808 461776 692664 923552 1385328 2770656 1448511703 2897023406 4345535109 5794046812 8691070218 10139581921 11588093624 17382140436 20279163842 23176187248 27521722357 30418745763 34764280872 40558327684 44903862793 46352374496 55043444714 60837491526 69528561744 70977073447 81116655368 82565167071 89807725586 110086889428 121674983052 134711588379 139057123488 141954146894 162233310736 165130334142 179615451172 192652056499 212931220341 220173778856 243349966104 269423176758 283908293788 314327039551 324466621472 330260668284 359230902344 385304112998 425862440682 440347557712 486699932208 538846353516 567816587576 577956169497 628654079102 660521336568 718461804688 770608225996 851724881364 853173393067 880695115424 942981118653 973399864416 1077692707032 1135633175152 1155912338994 1257308158204 1321042673136 1348564395493 1436923609376 1541216451992 1703449762728 1706346786134 1885962237306 2155385414064 2200289276857 2271266350304 2311824677988 2514616316408 2559520179201 2642085346272 2697128790986 3082432903984 3406899525456 3412693572268 3771924474612 4045693186479 4310770828128 4400578553714 4623649355976 5029232632816 5119040358402 5394257581972 5972213751469 6164865807968 6600867830571 6813799050912 6825387144536 7543848949224 8091386372958 8801157107428 9247298711952 10058465265632 10238080716804 10788515163944 11944427502938 13201735661142 13650774289072 15087697898448 16182772745916 17602314214856 17916641254407 18494597423904 20476161433608 21577030327888 23888855005876 26403471322284 27301548578144 30175395796896 32365545491832 35204628429712 35833282508814 40952322867216 41805496260283 43154060655776 47777710011752 52806942644568 64731090983664 70409256859424 71666565017628 81904645734432 83610992520566 95555420023504 105613885289136 125416488780849 129462181967328 143333130035256 167221985041132 191110840047008 211227770578272 250832977561698 286666260070512 334443970082264 501665955123396 573332520141024 668887940164528 1003331910246792 1337775880329056 2006663820493584 4013327640987168
- Sum of all divisors σ(n): 13316110154403840
- Sum of proper divisors (its aliquot sum) s(n): 9302782513416672
- 4013327640987168 is an abundant number, because the sum of its proper divisors (9302782513416672) is greater than itself. Its abundance is 5289454872429504
Bases of 4013327640987168
- Binary: 11100100001000011001101010000110100010000110001000002
- Hexadecimal: 0xE4219A8688620
- Base-36: 13ILT9KE7MO
Squares and roots of 4013327640987168
- 4013327640987168 squared (40133276409871682) is 16106798753911626840421540660224
- 4013327640987168 cubed (40133276409871683) is 64641860646891206428331071227866079241832005632
-
The
square root of 4013327640987168 is 63350829.8366104119 -
The
cube root of 4013327640987168 is 158916.2123446901
Scales and comparisons
How big is 4013327640987168?- 4,013,327,640,987,168 seconds is equal to 127,611,404 years, 49 weeks, 1 day, 7 hours, 32 minutes, 48 seconds.
-
To count from 1 to 4,013,327,640,987,168 would take you about three hundred eighty-two million, eight hundred thirty-four thousand, two hundred fourteen 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 4013327640987168 cubic inches would be around 13243 feet tall.
Recreational maths with 4013327640987168
- 4013327640987168 backwards is 8617890467233104
- The number of decimal digits it has is: 16
- The sum of 4013327640987168's digits is 69
- 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 4013327640987168 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 4013327640987168 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/4013327640987168/
Chicago style:
Numbermatics. 2024. "Number 4013327640987168 - Facts about the integer". https://numbermatics.com/n/4013327640987168/
The information we have on file for 4013327640987168 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 4013327640987168, math, Factors of 4013327640987168, curriculum, school, college, exams, university, Prime factorization of 4013327640987168, STEM, science, technology, engineering, physics, economics, calculator, four quadrillion, thirteen trillion, three hundred twenty-seven billion, six hundred forty million, nine hundred eighty-seven thousand, one hundred sixty-eight.