137920432748800
137,920,432,748,800 is an even composite number composed of five prime numbers multiplied together.
137920432748800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 137920432748800:
28 × 52 × 133 × 61 × 4012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 13 × 61 × 401 × 401)See below for interesting mathematical facts about the number 137920432748800 from the Numbermatics database.
Names of 137920432748800
- Cardinal: 137920432748800 can be written as One hundred thirty-seven trillion, nine hundred twenty billion, four hundred thirty-two million, seven hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.379204327488 × 1014
Factors of 137920432748800
Divisors of 137920432748800
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 61 64 65 80 100 104 122 128 130 160 169 200 208 244 256 260 305 320 325 338 400 401 416 488 520 610 640 650 676 793 800 802 832 845 976 1040 1220 1280 1300 1352 1525 1586 1600 1604 1664 1690 1952 2005 2080 2197 2440 2600 2704 3050 3172 3200 3208 3328 3380 3904 3965 4010 4160 4225 4394 4880 5200 5213 5408 6100 6344 6400 6416 6760 7808 7930 8020 8320 8450 8788 9760 10025 10309 10400 10426 10816 10985 12200 12688 12832 13520 15616 15860 16040 16640 16900 17576 19520 19825 20050 20618 20800 20852 21632 21970 24400 24461 25376 25664 26065 27040 31720 32080 33800 35152 39040 39650 40100 41236 41600 41704 43264 43940 48800 48922 50752 51328 51545 52130 54080 54925 63440 64160 67600 67769 70304 78080 79300 80200 82472 83200 83408 87880 97600 97844 101504 102656 103090 104260 108160 109850 122305 126880 128320 130325 134017 135200 135538 140608 158600 160400 160801 164944 166816 175760 195200 195688 203008 206180 208520 216320 219700 244610 253760 256640 257725 260650 268034 270400 271076 281216 317200 317993 320800 321602 329888 333632 338845 351520 390400 391376 412360 417040 439400 489220 507520 513280 515450 521300 536068 540800 542152 562432 611525 634400 635986 641600 643204 659776 667264 670085 677690 703040 782752 804005 824720 834080 878800 880997 978440 1015040 1030900 1042600 1072136 1081600 1084304 1223050 1268800 1271972 1283200 1286408 1319552 1334528 1340170 1355380 1406080 1565504 1589965 1608010 1649440 1668160 1694225 1757600 1761994 1956880 2061800 2085200 2090413 2144272 2168608 2446100 2537600 2543944 2566400 2572816 2639104 2680340 2710760 2812160 3131008 3179930 3216020 3298880 3336320 3350425 3388450 3515200 3523988 3913760 4020025 4123600 4133909 4170400 4180826 4288544 4337216 4404985 4892200 5075200 5087888 5145632 5360680 5421520 6262016 6359860 6432040 6597760 6672640 6700850 6776900 7030400 7047976 7827520 7949825 8040050 8247200 8267818 8340800 8361652 8577088 8674432 8809970 9784400 9808861 10175776 10291264 10452065 10721360 10843040 12719720 12864080 13195520 13401700 13553800 14060800 14095952 15655040 15899650 16080100 16494400 16535636 16681600 16723304 17154176 17348864 17619940 19568800 19617722 20351552 20582528 20669545 20904130 21442720 21686080 22024925 25439440 25728160 26803400 27107600 27175369 28191904 31310080 31799300 32160200 32988800 33071272 33363200 33446608 34308352 35239880 39137600 39235444 40703104 41165056 41339090 41808260 42885440 43372160 44049850 49044305 50878880 51456320 52260325 53606800 53740817 54215200 54350738 56383808 63598600 64320400 65977600 66142544 66893216 70479760 78275200 78470888 81406208 82678180 83616520 85770880 86744320 88099700 98088610 101757760 102912640 103347725 104520650 107213600 107481634 108430400 108701476 112767616 127197200 127515193 128640800 132285088 133786432 135876845 140959520 156550400 156941776 165356360 167233040 171541760 176199400 196177220 203515520 205825280 206695450 209041300 214427200 214963268 216860800 217402952 225535232 245221525 254394400 255030386 257281600 264570176 267572864 268704085 271753690 281919040 313883552 330712720 334466080 352398800 353279797 392354440 407031040 413390900 418082600 428854400 429926536 433721600 434805904 490443050 508788800 510060772 514563200 529140352 535145728 537408170 543507380 563838080 627767104 637575965 661425440 668932160 679384225 704797600 706559594 784708880 826781800 836165200 857708800 859853072 869611808 980886100 1017577600 1020121544 1029126400 1058280704 1074816340 1087014760 1127676160 1255534208 1275151930 1322850880 1337864320 1343520425 1358768450 1409595200 1413119188 1569417760 1653563600 1657697509 1672330400 1719706144 1739223616 1766398985 1961772200 2035155200 2040243088 2149632680 2174029520 2511068416 2550303860 2645701760 2675728640 2687040850 2717536900 2819190400 2826238376 3138835520 3187879825 3307127200 3315395018 3344660800 3439412288 3478447232 3532797970 3923544400 4080486176 4299265360 4348059040 5100607720 5291403520 5374081700 5435073800 5638380800 5652476752 6277671040 6375759650 6614254400 6630790036 6689321600 6878824576 6956894464 7065595940 7847088800 8160972352 8288487545 8598530720 8696118080 8831994925 10201215440 10748163400 10870147600 11304953504 12555342080 12751519300 13228508800 13261580072 13378643200 13757649152 14131191880 15694177600 16321944704 16576975090 17197061440 17392236160 17663989850 20402430880 21496326800 21550067617 21740295200 22609907008 25503038600 26457017600 26523160144 28262383760 31388355200 32643889408 33153950180 34394122880 34784472320 35327979700 40804861760 41442437725 42992653600 43100135234 43480590400 45219814016 51006077200 53046320288 56524767520 62776710400 66307900360 68788245760 70655959400 81609723520 82884875450 85985307200 86200270468 86961180800 90439628032 102012154400 106092640576 107750338085 113049535040 132615800720 141311918800 163219447040 165769750900 171970614400 172400540936 173922361600 204024308800 212185281152 215500676170 226099070080 265231601440 282623837600 331539501800 343941228800 344801081872 408048617600 424370562304 431001352340 452198140160 530463202880 538751690425 565247675200 663079003600 689602163744 816097235200 862002704680 1060926405760 1077503380850 1130495350400 1326158007200 1379204327488 1724005409360 2121852811520 2155006761700 2260990700800 2652316014400 2758408654976 3448010818720 4310013523400 5304632028800 5516817309952 6896021637440 8620027046800 10609264057600 13792043274880 17240054093600 27584086549760 34480108187200 68960216374400 137920432748800
- Sum of all divisors σ(n): 376811683645880
- Sum of proper divisors (its aliquot sum) s(n): 238891250897080
- 137920432748800 is an abundant number, because the sum of its proper divisors (238891250897080) is greater than itself. Its abundance is 100970818148280
Bases of 137920432748800
- Binary: 111110101110000000110100110011010111001000000002
- Hexadecimal: 0x7D701A66B900
- Base-36: 1CVZRSNPJ4
Squares and roots of 137920432748800
- 137920432748800 squared (1379204327488002) is 19022045769616263523901440000
- 137920432748800 cubed (1379204327488003) is 2623528784312955411730987056919478272000000
-
The
square root of 137920432748800 is 11743953.0290613815 -
The
cube root of 137920432748800 is 51666.5588353287
Scales and comparisons
How big is 137920432748800?- 137,920,432,748,800 seconds is equal to 4,385,443 years, 7 weeks, 3 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 137,920,432,748,800 would take you about ten million, nine hundred sixty-three thousand, six hundred 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 137920432748800 cubic inches would be around 4305.5 feet tall.
Recreational maths with 137920432748800
- 137920432748800 backwards is 008847234029731
- The number of decimal digits it has is: 15
- The sum of 137920432748800's digits is 58
- 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 137920432748800 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 137920432748800 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/137920432748800/
Chicago style:
Numbermatics. 2024. "Number 137920432748800 - Facts about the integer". https://numbermatics.com/n/137920432748800/
The information we have on file for 137920432748800 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 137920432748800, math, Factors of 137920432748800, curriculum, school, college, exams, university, Prime factorization of 137920432748800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, nine hundred twenty billion, four hundred thirty-two million, seven hundred forty-eight thousand, eight hundred.