137297248416000
137,297,248,416,000 is an even composite number composed of five prime numbers multiplied together.
137297248416000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 137297248416000:
28 × 32 × 53 × 413 × 6917
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 41 × 41 × 41 × 6917)See below for interesting mathematical facts about the number 137297248416000 from the Numbermatics database.
Names of 137297248416000
- Cardinal: 137297248416000 can be written as One hundred thirty-seven trillion, two hundred ninety-seven billion, two hundred forty-eight million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.37297248416 × 1014
Factors of 137297248416000
Divisors of 137297248416000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 41 45 48 50 60 64 72 75 80 82 90 96 100 120 123 125 128 144 150 160 164 180 192 200 205 225 240 246 250 256 288 300 320 328 360 369 375 384 400 410 450 480 492 500 576 600 615 640 656 720 738 750 768 800 820 900 960 984 1000 1025 1125 1152 1200 1230 1280 1312 1440 1476 1500 1600 1640 1681 1800 1845 1920 1968 2000 2050 2250 2304 2400 2460 2624 2880 2952 3000 3075 3200 3280 3362 3600 3690 3840 3936 4000 4100 4500 4800 4920 5043 5125 5248 5760 5904 6000 6150 6400 6560 6724 6917 7200 7380 7872 8000 8200 8405 9000 9225 9600 9840 10086 10250 10496 11520 11808 12000 12300 13120 13448 13834 14400 14760 15129 15375 15744 16000 16400 16810 18000 18450 19200 19680 20172 20500 20751 23616 24000 24600 25215 26240 26896 27668 28800 29520 30258 30750 31488 32000 32800 33620 34585 36000 36900 39360 40344 41000 41502 42025 46125 47232 48000 49200 50430 52480 53792 55336 57600 59040 60516 61500 62253 65600 67240 68921 69170 72000 73800 75645 78720 80688 82000 83004 84050 92250 94464 96000 98400 100860 103755 107584 110672 118080 121032 123000 124506 126075 131200 134480 137842 138340 144000 147600 151290 157440 161376 164000 166008 168100 172925 184500 196800 201720 206763 207510 210125 215168 221344 236160 242064 246000 249012 252150 262400 268960 275684 276680 283597 288000 295200 302580 311265 322752 328000 332016 336200 344605 345850 369000 378225 393600 403440 413526 415020 420250 430336 442688 472320 484128 492000 498024 504300 518775 537920 551368 553360 567194 590400 605160 620289 622530 630375 645504 656000 664032 672400 689210 691700 738000 756450 787200 806880 827052 830040 840500 850791 864625 885376 968256 984000 996048 1008600 1033815 1037550 1075840 1102736 1106720 1134388 1180800 1210320 1240578 1245060 1260750 1291008 1312000 1328064 1344800 1378420 1383400 1417985 1476000 1512900 1556325 1613760 1654104 1660080 1681000 1701582 1723025 1729250 1770752 1891125 1936512 1968000 1992096 2017200 2067630 2075100 2151680 2205472 2213440 2268776 2361600 2420640 2481156 2490120 2521500 2552373 2593875 2656128 2689600 2756840 2766800 2835970 2952000 3025800 3101445 3112650 3227520 3308208 3320160 3362000 3403164 3446050 3458500 3782250 3873024 3936000 3984192 4034400 4135260 4150200 4253955 4410944 4426880 4537552 4841280 4962312 4980240 5043000 5104746 5169075 5187750 5312256 5379200 5513680 5533600 5671940 5904000 6051600 6202890 6225300 6455040 6616416 6640320 6724000 6806328 6892100 6917000 7089925 7564500 7781625 7968384 8068800 8270520 8300400 8507910 8615125 8821888 8853760 9075104 9682560 9924624 9960480 10086000 10209492 10338150 10375500 10758400 11027360 11067200 11343880 11627477 11808000 12103200 12405780 12450600 12761865 13232832 13280640 13448000 13612656 13784200 13834000 14179850 15129000 15507225 15563250 15936768 16137600 16541040 16600800 17015820 17230250 17643776 18150208 19365120 19849248 19920960 20172000 20418984 20676300 20751000 21269775 22054720 22134400 22687760 23254954 24206400 24811560 24901200 25523730 25845375 26465664 26561280 26896000 27225312 27568400 27668000 28359700 30258000 31014450 31126500 32275200 33082080 33201600 34031640 34460500 34882431 35449625 36300416 39698496 39841920 40344000 40837968 41352600 41502000 42539550 44109440 44268800 45375520 46509908 48412800 49623120 49802400 51047460 51690750 52931328 53792000 54450624 55136800 55336000 56719400 58137385 60516000 62028900 62253000 63809325 66164160 66403200 68063280 68921000 69764862 70899250 72600832 77536125 79396992 79683840 80688000 81675936 82705200 83004000 85079100 88218880 90751040 93019816 96825600 99246240 99604800 102094920 103381500 104647293 106348875 108901248 110273600 110672000 113438800 116274770 121032000 124057800 124506000 127618650 132328320 132806400 136126560 137842000 139529724 141798500 155072250 158793984 161376000 163351872 165410400 166008000 170158200 174412155 181502080 186039632 198492480 199209600 204189840 206763000 209294586 212697750 217802496 220547200 221344000 226877600 232549540 242064000 248115600 249012000 255237300 264656640 272253120 275684000 279059448 283597000 290686925 310144500 319046625 326703744 330820800 332016000 340316400 348824310 363004160 372079264 396984960 398419200 408379680 413526000 418589172 425395500 441094400 453755200 465099080 476726557 484128000 496231200 498024000 510474600 523236465 544506240 551368000 558118896 567194000 581373850 620289000 638093250 653407488 661641600 664032000 680632800 697648620 744158528 793969920 816759360 827052000 837178344 850791000 872060775 907510400 930198160 953453114 992462400 996048000 1020949200 1046472930 1089012480 1102736000 1116237792 1134388000 1162747700 1240578000 1276186500 1323283200 1361265600 1395297240 1430179671 1453434625 1488317056 1633518720 1654104000 1674356688 1701582000 1744121550 1815020800 1860396320 1906906228 1984924800 1992096000 2041898400 2092945860 2205472000 2232475584 2268776000 2325495400 2383632785 2481156000 2552373000 2616182325 2722531200 2790594480 2860359342 2906869250 2976634112 3267037440 3308208000 3348713376 3403164000 3488243100 3720792640 3813812456 3969849600 4083796800 4185891720 4290539013 4360303875 4464951168 4537552000 4650990800 4767265570 4962312000 5104746000 5232364650 5445062400 5581188960 5720718684 5813738500 6616416000 6697426752 6806328000 6976486200 7150898355 7441585280 7627624912 8167593600 8371783440 8581078026 8720607750 8929902336 9075104000 9301981600 9534531140 9924624000 10209492000 10464729300 11162377920 11441437368 11627477000 11918163925 13080911625 13394853504 13612656000 13952972400 14301796710 14883170560 15255249824 16335187200 16743566880 17162156052 17441215500 18603963200 19069062280 19849248000 20418984000 20929458600 21452695065 22324755840 22882874736 23254954000 23836327850 26161823250 26789707008 27225312000 27905944800 28603593420 30510499648 33487133760 34324312104 34882431000 35754491775 37207926400 38138124560 40837968000 41858917200 42905390130 44649511680 45765749472 46509908000 47672655700 52323646500 55811889600 57207186840 59590819625 61020999296 66974267520 68648624208 69764862000 71508983550 74415852800 76276249120 81675936000 83717834400 85810780260 91531498944 93019816000 95345311400 104647293000 107263475325 111623779200 114414373680 119181639250 122041998592 133948535040 137297248416 139529724000 143017967100 152552498240 167435668800 171621560520 178772458875 183062997888 186039632000 190690622800 209294586000 214526950650 223247558400 228828747360 238363278500 274594496832 279059448000 286035934200 305104996480 334871337600 343243121040 357544917750 366125995776 372079264000 381381245600 418589172000 429053901300 457657494720 476726557000 536317376625 549188993664 558118896000 572071868400 610209992960 669742675200 686486242080 715089835500 762762491200 837178344000 858107802600 915314989440 953453114000 1072634753250 1098377987328 1116237792000 1144143736800 1372972484160 1430179671000 1525524982400 1674356688000 1716215605200 1830629978880 1906906228000 2145269506500 2288287473600 2745944968320 2860359342000 3051049964800 3348713376000 3432431210400 3813812456000 4290539013000 4576574947200 5491889936640 5720718684000 6864862420800 7627624912000 8581078026000 9153149894400 11441437368000 13729724841600 15255249824000 17162156052000 22882874736000 27459449683200 34324312104000 45765749472000 68648624208000 137297248416000
- Sum of all divisors σ(n): 506459463191136
- Sum of proper divisors (its aliquot sum) s(n): 369162214775136
- 137297248416000 is an abundant number, because the sum of its proper divisors (369162214775136) is greater than itself. Its abundance is 231864966359136
Bases of 137297248416000
- Binary: 111110011011111000000011011100001110001000000002
- Hexadecimal: 0x7CDF01B87100
- Base-36: 1CO1HGSOW0
Squares and roots of 137297248416000
- 137297248416000 squared (1372972484160002) is 18850534422604814509056000000
- 137297248416000 cubed (1372972484160003) is 2588126507394732343447462713655296000000000
-
The
square root of 137297248416000 is 11717390.8535987653 -
The
cube root of 137297248416000 is 51588.6240290527
Scales and comparisons
How big is 137297248416000?- 137,297,248,416,000 seconds is equal to 4,365,627 years, 42 weeks, 1 day, 8 hours.
-
To count from 1 to 137,297,248,416,000 would take you about ten million, nine hundred fourteen thousand and sixty-nine 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 137297248416000 cubic inches would be around 4299.1 feet tall.
Recreational maths with 137297248416000
- 137297248416000 backwards is 000614842792731
- The number of decimal digits it has is: 15
- The sum of 137297248416000'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 137297248416000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
APA style:
Numbermatics. (2024). Number 137297248416000 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/137297248416000/
Chicago style:
Numbermatics. 2024. "Number 137297248416000 - Facts about the integer". https://numbermatics.com/n/137297248416000/
The information we have on file for 137297248416000 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 137297248416000, math, Factors of 137297248416000, curriculum, school, college, exams, university, Prime factorization of 137297248416000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, two hundred ninety-seven billion, two hundred forty-eight million, four hundred sixteen thousand.