13946498724707400
13,946,498,724,707,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 13946498724707400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 192 divisors.
13946498724707400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 13946498724707400:
23 × 3 × 52 × 79 × 157 × 1874075993
(2 × 2 × 2 × 3 × 5 × 5 × 79 × 157 × 1874075993)See below for interesting mathematical facts about the number 13946498724707400 from the Numbermatics database.
Names of 13946498724707400
- Cardinal: 13946498724707400 can be written as Thirteen quadrillion, nine hundred forty-six trillion, four hundred ninety-eight billion, seven hundred twenty-four million, seven hundred seven thousand, four hundred.
Scientific notation
- Scientific notation: 1.39464987247074 × 1016
Factors of 13946498724707400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 1874076239
Divisors of 13946498724707400
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 79 100 120 150 157 158 200 237 300 314 316 395 471 474 600 628 632 785 790 942 948 1185 1256 1570 1580 1884 1896 1975 2355 2370 3140 3160 3768 3925 3950 4710 4740 5925 6280 7850 7900 9420 9480 11775 11850 12403 15700 15800 18840 23550 23700 24806 31400 37209 47100 47400 49612 62015 74418 94200 99224 124030 148836 186045 248060 297672 310075 372090 496120 620150 744180 930225 1240300 1488360 1860450 2480600 3720900 7441800 1874075993 3748151986 5622227979 7496303972 9370379965 11244455958 14992607944 18740759930 22488911916 28111139895 37481519860 44977823832 46851899825 56222279790 74963039720 93703799650 112444559580 140555699475 148052003447 187407599300 224889119160 281111398950 294229930901 296104006894 374815198600 444156010341 562222797900 588459861802 592208013788 740260017235 882689792703 888312020682 1124445595800 1176919723604 1184416027576 1471149654505 1480520034470 1765379585406 1776624041364 2220780051705 2353839447208 2942299309010 2961040068940 3530759170812 3553248082728 3701300086175 4413448963515 4441560103410 5884598618020 5922080137880 7061518341624 7355748272525 7402600172350 8826897927030 8883120206820 11103900258525 11769197236040 14711496545050 14805200344700 17653795854060 17766240413640 22067244817575 22207800517050 23244164541179 29422993090100 29610400689400 35307591708120 44134489635150 44415601034100 46488329082358 58845986180200 69732493623537 88268979270300 88831202068200 92976658164716 116220822705895 139464987247074 176537958540600 185953316329432 232441645411790 278929974494148 348662468117685 464883290823580 557859948988296 581104113529475 697324936235370 929766581647160 1162208227058950 1394649872470740 1743312340588425 2324416454117900 2789299744941480 3486624681176850 4648832908235800 6973249362353700 13946498724707400
- Sum of all divisors σ(n): 44060276249337600
- Sum of proper divisors (its aliquot sum) s(n): 30113777524630200
- 13946498724707400 is an abundant number, because the sum of its proper divisors (30113777524630200) is greater than itself. Its abundance is 16167278799922800
Bases of 13946498724707400
- Binary: 1100011000110001000100010001100101100010111100010010002
- Hexadecimal: 0x318C444658BC48
- Base-36: 3TBMD2CRIVC
Squares and roots of 13946498724707400
- 13946498724707400 squared (139464987247074002) is 194504826678265134571215614760000
- 13946498724707400 cubed (139464987247074003) is 2712661317217858572223351614574893492121224000000
-
The
square root of 13946498724707400 is 118095295.0997938783 -
The
cube root of 13946498724707400 is 240706.8209638461
Scales and comparisons
How big is 13946498724707400?- 13,946,498,724,707,400 seconds is equal to 443,455,520 years, 4 weeks, 5 days, 17 hours, 50 minutes.
-
To count from 1 to 13,946,498,724,707,400 would take you about one billion, three hundred thirty million, three hundred sixty-six thousand, five hundred sixty 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 13946498724707400 cubic inches would be around 20058.9 feet tall.
Recreational maths with 13946498724707400
- 13946498724707400 backwards is 00470742789464931
- 13946498724707400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13946498724707400's digits is 75
- 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 13946498724707400 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 13946498724707400 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13946498724707400/
Chicago style:
Numbermatics. 2024. "Number 13946498724707400 - Facts about the integer". https://numbermatics.com/n/13946498724707400/
The information we have on file for 13946498724707400 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 13946498724707400, math, Factors of 13946498724707400, curriculum, school, college, exams, university, Prime factorization of 13946498724707400, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred forty-six trillion, four hundred ninety-eight billion, seven hundred twenty-four million, seven hundred seven thousand, four hundred.