131040022400
131,040,022,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 131040022400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 384 divisors.
131040022400 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 131040022400:
27 × 52 × 7 × 73 × 127 × 631
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 73 × 127 × 631)See below for interesting mathematical facts about the number 131040022400 from the Numbermatics database.
Names of 131040022400
- Cardinal: 131040022400 can be written as One hundred thirty-one billion, forty million, twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.310400224 × 1011
Factors of 131040022400
Divisors of 131040022400
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 73 80 100 112 127 128 140 146 160 175 200 224 254 280 292 320 350 365 400 448 508 511 560 584 631 635 640 700 730 800 889 896 1016 1022 1120 1168 1262 1270 1400 1460 1600 1778 1825 2032 2044 2240 2336 2524 2540 2555 2800 2920 3155 3175 3200 3556 3650 4064 4088 4417 4445 4480 4672 5048 5080 5110 5600 5840 6310 6350 7112 7300 8128 8176 8834 8890 9271 9344 10096 10160 10220 11200 11680 12620 12700 12775 14224 14600 15775 16256 16352 17668 17780 18542 20192 20320 20440 22085 22225 22400 23360 25240 25400 25550 28448 29200 31550 32704 35336 35560 37084 40384 40640 40880 44170 44450 46063 46355 46720 50480 50800 51100 56896 58400 63100 64897 65408 70672 71120 74168 80137 80768 81280 81760 88340 88900 92126 92710 100960 101600 102200 110425 113792 116800 126200 129794 141344 142240 148336 160274 163520 176680 177800 184252 185420 201920 203200 204400 220850 230315 231775 233600 252400 259588 282688 284480 296672 320548 322441 324485 327040 353360 355600 368504 370840 400685 403840 406400 408800 441700 460630 463550 504800 519176 560959 565376 568960 593344 641096 644882 648970 706720 711200 737008 741680 801370 817600 883400 921260 927100 1009600 1038352 1121918 1151575 1186688 1282192 1289764 1297940 1413440 1422400 1474016 1483360 1602740 1612205 1622425 1635200 1766800 1842520 1854200 2003425 2019200 2076704 2243836 2303150 2564384 2579528 2595880 2804795 2826880 2844800 2948032 2966720 3205480 3224410 3244850 3533600 3685040 3708400 4006850 4153408 4487672 4606300 5128768 5159056 5191760 5609590 5850001 5896064 5933440 6410960 6448820 6489700 7067200 7370080 7416800 8013700 8061025 8306816 8975344 9212600 10257536 10318112 10383520 11219180 11700002 12821920 12897640 12979400 14023975 14134400 14740160 14833600 16027400 16122050 17950688 18425200 20636224 20767040 22438360 23400004 25643840 25795280 25958800 28047950 29250005 29480320 29667200 32054800 32244100 35901376 36850400 40950007 41272448 41534080 44876720 46800008 51287680 51590560 51917600 56095900 58500010 64109600 64488200 71802752 73700800 81900014 89753440 93600016 103181120 103835200 112191800 117000020 128219200 128976400 146250025 147401600 163800028 179506880 187200032 204750035 206362240 207670400 224383600 234000040 256438400 257952800 292500050 327600056 359013760 374400064 409500070 448767200 468000080 515905600 585000100 655200112 748800128 819000140 897534400 936000160 1023750175 1031811200 1170000200 1310400224 1638000280 1795068800 1872000320 2047500350 2340000400 2620800448 3276000560 3744000640 4095000700 4680000800 5241600896 6552001120 8190001400 9360001600 13104002240 16380002800 18720003200 26208004480 32760005600 65520011200 131040022400
- Sum of all divisors σ(n): 378573864960
- Sum of proper divisors (its aliquot sum) s(n): 247533842560
- 131040022400 is an abundant number, because the sum of its proper divisors (247533842560) is greater than itself. Its abundance is 116493820160
Bases of 131040022400
- Binary: 11110100000101001100000001111100000002
- Hexadecimal: 0x1E82980F80
- Base-36: 1O75UGE8
Squares and roots of 131040022400
- 131040022400 squared (1310400224002) is 17171487470592501760000
- 131040022400 cubed (1310400224003) is 2250152102787760771902439424000000
-
The
square root of 131040022400 is 361994.5060356579 -
The
cube root of 131040022400 is 5079.2702363787
Scales and comparisons
How big is 131040022400?- 131,040,022,400 seconds is equal to 4,166 years, 34 weeks, 4 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 131,040,022,400 would take you about eight thousand, three hundred thirty-three 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 131040022400 cubic inches would be around 423.3 feet tall.
Recreational maths with 131040022400
- 131040022400 backwards is 004220040131
- The number of decimal digits it has is: 12
- The sum of 131040022400's digits is 17
- 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 131040022400 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 131040022400 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/131040022400/
Chicago style:
Numbermatics. 2024. "Number 131040022400 - Facts about the integer". https://numbermatics.com/n/131040022400/
The information we have on file for 131040022400 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 131040022400, math, Factors of 131040022400, curriculum, school, college, exams, university, Prime factorization of 131040022400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one billion, forty million, twenty-two thousand, four hundred.