137217085304448
137,217,085,304,448 is an even composite number composed of five prime numbers multiplied together.
137217085304448 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 137217085304448:
27 × 3 × 712 × 3312 × 647
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 71 × 71 × 331 × 331 × 647)See below for interesting mathematical facts about the number 137217085304448 from the Numbermatics database.
Names of 137217085304448
- Cardinal: 137217085304448 can be written as One hundred thirty-seven trillion, two hundred seventeen billion, eighty-five million, three hundred four thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 1.37217085304448 × 1014
Factors of 137217085304448
Divisors of 137217085304448
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 331 384 426 568 647 662 852 993 1136 1294 1324 1704 1941 1986 2272 2588 2648 3408 3882 3972 4544 5041 5176 5296 6816 7764 7944 9088 10082 10352 10592 13632 15123 15528 15888 20164 20704 21184 23501 27264 30246 31056 31776 40328 41408 42368 45937 47002 60492 62112 63552 70503 80656 82816 91874 94004 109561 120984 124224 127104 137811 141006 161312 183748 188008 214157 219122 241968 248448 275622 282012 322624 328683 367496 376016 428314 438244 483936 551244 564024 642471 645248 657366 734992 752032 856628 876488 967872 1102488 1128048 1284942 1314732 1469984 1504064 1668571 1713256 1752976 1935744 2204976 2256096 2569884 2629464 2939968 3008128 3261527 3337142 3426512 3505952 4409952 4512192 5005713 5139768 5258928 5879936 6523054 6674284 6853024 7011904 7778831 8819904 9024384 9784581 10011426 10279536 10517856 13046108 13348568 13706048 14023808 15205147 15557662 17639808 19569162 20022852 20559072 21035712 23336493 26092216 26697136 27412096 30410294 31115324 39138324 40045704 41118144 42071424 45615441 46672986 52184432 53394272 60820588 62230648 70885967 78276648 80091408 82236288 91230882 93345972 104368864 106788544 121641176 124461296 141771934 156553296 160182816 182461764 186691944 208737728 212657901 213577088 243282352 248922592 283543868 313106592 320365632 364923528 373383888 417475456 425315802 486564704 497845184 552297001 567087736 626213184 640731264 729847056 746767776 850631604 973129408 995690368 1079565437 1104594002 1134175472 1252426368 1459694112 1493535552 1656891003 1701263208 1946258816 2159130874 2209188004 2268350944 2919388224 2987071104 3238696311 3313782006 3402526416 4318261748 4418376008 4536701888 5032903657 5838776448 6477392622 6627564012 6805052832 8636523496 8836752016 9073403776 10065807314 12954785244 13255128024 13610105664 15098710971 17273046992 17673504032 20131614628 25909570488 26510256048 27220211328 30197421942 34546093984 35347008064 40263229256 51819140976 53020512096 60394843884 69092187968 70694016128 80526458512 103638281952 106041024192 120789687768 138184375936 161052917024 207276563904 212082048384 241579375536 322105834048 357336159647 414553127808 483158751072 644211668096 714672319294 966317502144 1072008478941 1429344638588 1932635004288 2144016957882 2858689277176 4288033915764 5717378554352 8576067831528 11434757108704 17152135663056 22869514217408 34304271326112 45739028434816 68608542652224 137217085304448
- Sum of all divisors σ(n): 371382127532640
- Sum of proper divisors (its aliquot sum) s(n): 234165042228192
- 137217085304448 is an abundant number, because the sum of its proper divisors (234165042228192) is greater than itself. Its abundance is 96947956923744
Bases of 137217085304448
- Binary: 111110011001100010101111010000001101110100000002
- Hexadecimal: 0x7CCC57A06E80
- Base-36: 1CN0NPR05C
Squares and roots of 137217085304448
- 137217085304448 squared (1372170853044482) is 18828528499448159280848584704
- 137217085304448 cubed (1372170853044483) is 2583595801266008369733732316194257755963392
-
The
square root of 137217085304448 is 11713969.6646545913 -
The
cube root of 137217085304448 is 51578.5818036595
Scales and comparisons
How big is 137217085304448?- 137,217,085,304,448 seconds is equal to 4,363,078 years, 45 weeks, 2 days, 13 hours, 48 seconds.
-
To count from 1 to 137,217,085,304,448 would take you about ten million, nine hundred seven thousand, six hundred ninety-seven 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 137217085304448 cubic inches would be around 4298.2 feet tall.
Recreational maths with 137217085304448
- 137217085304448 backwards is 844403580712731
- The number of decimal digits it has is: 15
- The sum of 137217085304448's digits is 57
- 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 137217085304448 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
APA style:
Numbermatics. (2024). Number 137217085304448 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/137217085304448/
Chicago style:
Numbermatics. 2024. "Number 137217085304448 - Facts about the integer". https://numbermatics.com/n/137217085304448/
The information we have on file for 137217085304448 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 137217085304448, math, Factors of 137217085304448, curriculum, school, college, exams, university, Prime factorization of 137217085304448, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, two hundred seventeen billion, eighty-five million, three hundred four thousand, four hundred forty-eight.