137132216084448
137,132,216,084,448 is an even composite number composed of seven prime numbers multiplied together.
137132216084448 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 137132216084448:
25 × 32 × 13 × 17 × 79 × 3701 × 7369
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 17 × 79 × 3701 × 7369)See below for interesting mathematical facts about the number 137132216084448 from the Numbermatics database.
Names of 137132216084448
- Cardinal: 137132216084448 can be written as One hundred thirty-seven trillion, one hundred thirty-two billion, two hundred sixteen million, eighty-four thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 1.37132216084448 × 1014
Factors of 137132216084448
Divisors of 137132216084448
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 68 72 78 79 96 102 104 117 136 144 153 156 158 204 208 221 234 237 272 288 306 312 316 408 416 442 468 474 544 612 624 632 663 711 816 884 936 948 1027 1224 1248 1264 1326 1343 1422 1632 1768 1872 1896 1989 2054 2448 2528 2652 2686 2844 3081 3536 3701 3744 3792 3978 4029 4108 4896 5304 5372 5688 6162 7072 7369 7402 7584 7956 8058 8216 9243 10608 10744 11103 11376 12087 12324 14738 14804 15912 16116 16432 17459 18486 21216 21488 22107 22206 22752 24174 24648 29476 29608 31824 32232 32864 33309 34918 36972 42976 44214 44412 48113 48348 49296 52377 58952 59216 62917 63648 64464 66321 66618 69836 73944 88428 88824 95797 96226 96696 98592 104754 117904 118432 125273 125834 128928 132642 133236 139672 144339 147888 157131 176856 177648 188751 191594 192452 193392 209508 235808 250546 251668 265284 266472 279344 287391 288678 292379 295776 314262 353712 355296 375819 377502 383188 384904 386784 419016 433017 501092 503336 530568 532944 558688 566253 574782 577356 582151 584758 628524 707424 751638 755004 766376 769808 817921 838032 862173 866034 877137 1002184 1006672 1061136 1065888 1127457 1132506 1149564 1154712 1164302 1169516 1257048 1503276 1510008 1532752 1539616 1628549 1635842 1676064 1724346 1732068 1746453 1754274 2004368 2013344 2122272 2254914 2265012 2299128 2309424 2328604 2339032 2453763 2514096 2631411 3006552 3020016 3065504 3257098 3271684 3448692 3464136 3492906 3508548 3800927 4008736 4509828 4530024 4598256 4618848 4657208 4678064 4885647 4907526 4970443 5028192 5239359 5262822 6013104 6040032 6514196 6543368 6897384 6928272 6985812 7017096 7361289 7567963 7601854 9019656 9060048 9196512 9314416 9356128 9771294 9815052 9896567 9940886 10478718 10525644 11402781 12026208 13028392 13086736 13794768 13856544 13971624 14034192 14656941 14722578 14911329 15135926 15203708 18039312 18120096 18628832 19542588 19630104 19793134 19881772 20957436 21051288 22703889 22805562 26056784 26173472 27272669 27589536 27943248 28068384 29313882 29445156 29689701 29822658 30271852 30407416 34208343 36078624 39085176 39260208 39586268 39763544 41914872 42102576 44733987 45407778 45611124 52113568 54545338 55886496 58627764 58890312 59379402 59645316 60543704 60814832 64615759 68111667 68416686 78170352 78520416 79172536 79527088 81818007 83829744 84205152 89069103 89467974 90815556 91222248 109090676 117255528 117780624 118758804 119290632 121087408 121629664 128655371 129231518 136223334 136833372 156340704 158345072 159054176 163636014 167659488 178138206 178935948 181631112 182444496 193847277 218181352 234511056 235561248 237517608 238581264 242174816 245454021 257310742 258463036 272446668 273666744 316690144 327272028 354544697 356276412 357871896 363262224 364888992 385966113 387694554 436362704 463635373 469022112 475035216 477162528 490908042 514621484 516926072 544893336 547333488 581541831 654544056 709089394 712552824 715743792 726524448 771932226 775389108 872725408 927270746 950070432 981816084 1029242968 1033852144 1063634091 1089786672 1094666976 1157898339 1163083662 1309088112 1390906119 1418178788 1425105648 1431487584 1543864452 1550778216 1854541492 1963632168 2058485936 2067704288 2127268182 2154540851 2179573344 2315796678 2326167324 2618176224 2781812238 2836357576 2850211296 3087728904 3101556432 3190902273 3709082984 3927264336 4116971872 4172718357 4254536364 4309081702 4631593356 4652334648 5563624476 5672715152 6027259849 6175457808 6203112864 6381804546 6463622553 7418165968 7854528672 8345436714 8509072728 8618163404 9263186712 9304669296 11127248952 11345430304 12054519698 12350915616 12763609092 12927245106 14836331936 16690873428 17018145456 17236326808 18081779547 18526373424 18609338592 19390867659 22254497904 24109039396 25527218184 25854490212 28009031063 33381746856 34036290912 34472653616 36163559094 36627194467 37052746848 38781735318 44508995808 48218078792 51054436368 51708980424 54245338641 56018062126 66763493712 68945307232 72327118188 73254388934 77563470636 84027093189 96436157584 102108872736 103417960848 108490677282 109881583401 112036124252 133526987424 144654236376 146508777868 155126941272 168054186378 192872315168 206835921696 216981354564 219763166802 224072248504 252081279567 289308472752 293017555736 310253882544 329644750203 336108372756 433962709128 439526333604 448144497008 476153528071 504162559134 578616945504 586035111472 620507765088 659289500406 672216745512 867925418256 879052667208 896288994016 952307056142 1008325118268 1172070222944 1318579000812 1344433491024 1428460584213 1735850836512 1758105334416 1904614112284 2016650236536 2637158001624 2688866982048 2856921168426 3516210668832 3809228224568 4033300473072 4285381752639 5274316003248 5713842336852 7618456449136 8066600946144 8570763505278 10548632006496 11427684673704 15236912898272 17141527010556 22855369347408 34283054021112 45710738694816 68566108042224 137132216084448
- Sum of all divisors σ(n): 450482922489600
- Sum of proper divisors (its aliquot sum) s(n): 313350706405152
- 137132216084448 is an abundant number, because the sum of its proper divisors (313350706405152) is greater than itself. Its abundance is 176218490320704
Bases of 137132216084448
- Binary: 111110010111000100101010000011011100111111000002
- Hexadecimal: 0x7CB89506E7E0
- Base-36: 1CLXO4T2W0
Squares and roots of 137132216084448
- 137132216084448 squared (1371322160844482) is 18805244688231738760667464704
- 137132216084448 cubed (1371322160844483) is 2578804878107512761215216948822150123323392
-
The
square root of 137132216084448 is 11710346.5398957345 -
The
cube root of 137132216084448 is 51567.9457695421
Scales and comparisons
How big is 137132216084448?- 137,132,216,084,448 seconds is equal to 4,360,380 years, 15 weeks, 1 day, 21 hours, 40 minutes, 48 seconds.
-
To count from 1 to 137,132,216,084,448 would take you about ten million, nine hundred thousand, nine hundred fifty 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 137132216084448 cubic inches would be around 4297.3 feet tall.
Recreational maths with 137132216084448
- 137132216084448 backwards is 844480612231731
- The number of decimal digits it has is: 15
- The sum of 137132216084448'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 137132216084448 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 137132216084448 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/137132216084448/
Chicago style:
Numbermatics. 2024. "Number 137132216084448 - Facts about the integer". https://numbermatics.com/n/137132216084448/
The information we have on file for 137132216084448 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 137132216084448, math, Factors of 137132216084448, curriculum, school, college, exams, university, Prime factorization of 137132216084448, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, one hundred thirty-two billion, two hundred sixteen million, eighty-four thousand, four hundred forty-eight.