13434952614800400
13,434,952,614,800,400 is an even composite number composed of four prime numbers multiplied together.
13434952614800400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 13434952614800400:
24 × 35 × 52 × 138219677107
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 138219677107)See below for interesting mathematical facts about the number 13434952614800400 from the Numbermatics database.
Names of 13434952614800400
- Cardinal: 13434952614800400 can be written as Thirteen quadrillion, four hundred thirty-four trillion, nine hundred fifty-two billion, six hundred fourteen million, eight hundred thousand, four hundred.
Scientific notation
- Scientific notation: 1.34349526148004 × 1016
Factors of 13434952614800400
- Number of distinct prime factors ω(n): 4
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 138219677117
Divisors of 13434952614800400
- Number of divisors d(n): 180
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 81 90 100 108 120 135 144 150 162 180 200 216 225 240 243 270 300 324 360 400 405 432 450 486 540 600 648 675 720 810 900 972 1080 1200 1215 1296 1350 1620 1800 1944 2025 2160 2430 2700 3240 3600 3888 4050 4860 5400 6075 6480 8100 9720 10800 12150 16200 19440 24300 32400 48600 97200 138219677107 276439354214 414659031321 552878708428 691098385535 829318062642 1105757416856 1243977093963 1382196771070 1658636125284 2073295156605 2211514833712 2487954187926 2764393542140 3317272250568 3455491927675 3731931281889 4146590313210 4975908375852 5528787084280 6219885469815 6634544501136 6910983855350 7463862563778 8293180626420 9951816751704 10366475783025 11057574168560 11195793845667 12439770939630 13821967710700 14927725127556 16586361252840 18659656409445 19903633503408 20732951566050 22391587691334 24879541879260 27643935421400 29855450255112 31099427349075 33172722505680 33587381537001 37319312818890 41465903132100 44783175382668 49759083758520 55287870842800 55978969228335 59710900510224 62198854698150 67174763074002 74638625637780 82931806264200 89566350765336 93298282047225 99518167517040 111957938456670 124397709396300 134349526148004 149277251275560 165863612528400 167936907685005 179132701530672 186596564094450 223915876913340 248795418792600 268699052296008 279894846141675 298554502551120 335873815370010 373193128188900 447831753826680 497590837585200 537398104592016 559789692283350 671747630740020 746386256377800 839684538425025 895663507653360 1119579384566700 1343495261480040 1492772512755600 1679369076850050 2239158769133400 2686990522960080 3358738153700100 4478317538266800 6717476307400200 13434952614800400
- Sum of all divisors σ(n): 48349795931086832
- Sum of proper divisors (its aliquot sum) s(n): 34914843316286432
- 13434952614800400 is an abundant number, because the sum of its proper divisors (34914843316286432) is greater than itself. Its abundance is 21479890701486032
Bases of 13434952614800400
- Binary: 1011111011101100000100101010100010110111101100000100002
- Hexadecimal: 0x2FBB04AA2DEC10
- Base-36: 3OAAK0YNL00
Squares and roots of 13434952614800400
- 13434952614800400 squared (134349526148004002) is 180497951761932105141131840160000
- 13434952614800400 cubed (134349526148004003) is 2424981428990086202246622511831184103104064000000
-
The
square root of 13434952614800400 is 115909243.0084866011 -
The
cube root of 13434952614800400 is 237727.1112254767
Scales and comparisons
How big is 13434952614800400?- 13,434,952,614,800,400 seconds is equal to 427,189,936 years, 5 weeks, 6 days, 9 hours.
-
To count from 1 to 13,434,952,614,800,400 would take you about one billion, two hundred eighty-one million, five hundred sixty-nine thousand, eight hundred 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 13434952614800400 cubic inches would be around 19810.6 feet tall.
Recreational maths with 13434952614800400
- 13434952614800400 backwards is 00400841625943431
- 13434952614800400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13434952614800400's digits is 54
- 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 13434952614800400 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.
APA style:
Numbermatics. (2024). Number 13434952614800400 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/13434952614800400/
Chicago style:
Numbermatics. 2024. "Number 13434952614800400 - Facts about the integer". https://numbermatics.com/n/13434952614800400/
The information we have on file for 13434952614800400 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 13434952614800400, math, Factors of 13434952614800400, curriculum, school, college, exams, university, Prime factorization of 13434952614800400, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, four hundred thirty-four trillion, nine hundred fifty-two billion, six hundred fourteen million, eight hundred thousand, four hundred.