137028920336000
137,028,920,336,000 is an even composite number composed of six prime numbers multiplied together.
137028920336000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 137028920336000:
27 × 53 × 7 × 113 × 292 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 11 × 11 × 29 × 29 × 1093)See below for interesting mathematical facts about the number 137028920336000 from the Numbermatics database.
Names of 137028920336000
- Cardinal: 137028920336000 can be written as One hundred thirty-seven trillion, twenty-eight billion, nine hundred twenty million, three hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.37028920336 × 1014
Factors of 137028920336000
Divisors of 137028920336000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 29 32 35 40 44 50 55 56 58 64 70 77 80 88 100 110 112 116 121 125 128 140 145 154 160 175 176 200 203 220 224 232 242 250 275 280 290 308 319 320 350 352 385 400 406 440 448 464 484 500 550 560 580 605 616 638 640 700 704 725 770 800 812 841 847 875 880 896 928 968 1000 1015 1093 1100 1120 1160 1210 1232 1276 1331 1375 1400 1408 1450 1540 1595 1600 1624 1682 1694 1750 1760 1856 1925 1936 2000 2030 2186 2200 2233 2240 2320 2420 2464 2552 2662 2750 2800 2900 3025 3080 3190 3200 3248 3364 3388 3500 3509 3520 3625 3712 3850 3872 4000 4060 4205 4235 4372 4400 4466 4480 4640 4840 4928 5075 5104 5324 5465 5500 5600 5800 5887 6050 6160 6380 6496 6655 6728 6776 7000 7018 7040 7250 7651 7700 7744 7975 8000 8120 8410 8470 8744 8800 8932 9251 9280 9317 9625 9680 9856 10150 10208 10648 10930 11000 11165 11200 11600 11774 12023 12100 12320 12760 12992 13310 13456 13552 14000 14036 14500 15125 15302 15400 15488 15950 16000 16240 16820 16940 17488 17545 17600 17864 18502 18560 18634 19250 19360 20300 20416 21025 21175 21296 21860 22000 22330 22400 23200 23548 24046 24200 24563 24640 25375 25520 25984 26620 26912 27104 27325 28000 28072 29000 29435 30250 30604 30800 31697 31900 32480 33275 33640 33880 34976 35090 35200 35728 37004 37268 38255 38500 38599 38720 39875 40600 40832 42050 42350 42592 43720 44000 44660 46255 46400 46585 47096 48092 48400 49126 49280 50750 51040 53240 53824 54208 54650 55825 56000 56144 58000 58870 60115 60500 61208 61600 63394 63800 64757 64960 66550 67280 67760 69952 70180 71456 74008 74536 76510 77000 77198 77440 79750 81200 84100 84161 84700 85184 87440 87725 88000 89320 92510 92800 93170 94192 96184 96800 98252 101500 101761 102080 105125 105875 106480 107648 108416 109300 111650 112000 112288 116000 117740 120230 121000 122416 122815 123200 126788 127600 129514 129920 132253 133100 134560 135520 136625 139904 140360 142912 147175 148016 149072 153020 154000 154396 158485 159500 162400 166375 168200 168322 169400 170368 174880 175450 176000 178640 185020 186340 188384 191275 192368 192995 193600 196504 203000 203522 204160 210250 211750 212960 218600 221879 223300 224576 231275 232000 232925 235480 240460 242000 244832 245630 246400 253576 255200 259028 264506 266200 269120 270193 271040 273250 279125 280720 285824 294350 296032 298144 300575 306040 308000 308792 316970 319000 323785 324800 332750 336400 336644 338800 348667 349760 350900 357280 370040 372680 376768 382550 384736 385990 387200 393008 406000 407044 420500 420805 423500 425920 437200 438625 443758 446600 449152 462550 464000 465850 470960 480920 484000 489664 491260 507152 508805 510400 518056 529012 532400 538240 540386 542080 546500 558250 561440 588700 592064 596288 601150 612080 614075 616000 617584 633940 638000 647570 649600 661265 665500 672800 673288 677600 697334 699520 701800 712327 714560 735875 740080 745360 753536 765100 769472 771980 786016 792425 812000 814088 841000 841610 847000 851840 874400 877250 887516 893200 919213 925100 925771 931700 941920 956375 961840 964975 968000 979328 982520 1014304 1017610 1020800 1036112 1058024 1064800 1080772 1093000 1109395 1116500 1119371 1122880 1156375 1164625 1177400 1184128 1192576 1202300 1224160 1228150 1232000 1235168 1267880 1276000 1295140 1322530 1331000 1345600 1346576 1350965 1355200 1394668 1403600 1424654 1429120 1454783 1471750 1480160 1490720 1502875 1530200 1538944 1543960 1572032 1584850 1618925 1624000 1628176 1682000 1683220 1694000 1743335 1748800 1754500 1775032 1786400 1838426 1850200 1851542 1863400 1883840 1912750 1923680 1929950 1936000 1965040 2028608 2035220 2072224 2104025 2116048 2129600 2161544 2186000 2218790 2233000 2238742 2245760 2312750 2329250 2354800 2404600 2440669 2448320 2456300 2470336 2535760 2544025 2552000 2590280 2645060 2662000 2691200 2693152 2701930 2710400 2789336 2807200 2849308 2909566 2943500 2960320 2981440 3005750 3060400 3070375 3087920 3144064 3169700 3237850 3248000 3256352 3306325 3364000 3366440 3388000 3486670 3497600 3509000 3550064 3561635 3572800 3676852 3700400 3703084 3726800 3767680 3825500 3835337 3847360 3859900 3930080 3962125 4057216 4070440 4144448 4208050 4232096 4259200 4323088 4372000 4437580 4466000 4477484 4596065 4625500 4628855 4658500 4709600 4809200 4824875 4881338 4896640 4912600 4940672 5071520 5088050 5104000 5180560 5290120 5324000 5386304 5403860 5546975 5578672 5596855 5614400 5698616 5819132 5887000 5920640 5962880 6011500 6120800 6140750 6175840 6339400 6434491 6475700 6512704 6612650 6728000 6732880 6754825 6776000 6973340 7018000 7100128 7123270 7145600 7273915 7353704 7400800 7406168 7453600 7651000 7670674 7694720 7719800 7835597 7860160 7924250 8094625 8140880 8288896 8416100 8464192 8646176 8716675 8744000 8875160 8932000 8954968 9192130 9251000 9257710 9317000 9419200 9618400 9649750 9762676 9825200 10111343 10143040 10176100 10183481 10361120 10520125 10580240 10648000 10772608 10807720 11093950 11157344 11193710 11228800 11397232 11638264 11774000 12023000 12203345 12241600 12281500 12351680 12678800 12720125 12868982 12951400 13025408 13225300 13456000 13465760 13509650 13552000 13946680 14036000 14200256 14246540 14547830 14707408 14801600 14812336 14907200 15302000 15341348 15439600 15671194 15720320 15848500 16189250 16281760 16531625 16832200 16928384 17292352 17433350 17488000 17750320 17808175 17864000 17909936 18384260 18502000 18515420 18634000 18838400 19176685 19236800 19299500 19525352 19650400 20222686 20286080 20352200 20366962 20722240 21040250 21160480 21296000 21615440 22187900 22314688 22387420 22794464 22980325 23144275 23276528 23548000 24046000 24406690 24483200 24563000 24703360 25357600 25440250 25737964 25902800 26450600 26847359 26931520 27019300 27734875 27893360 27984275 28072000 28400512 28493080 29095660 29414816 29603200 29624672 29814400 30604000 30682696 30879200 31342388 31697000 32172455 32378500 32563520 33063250 33664400 33774125 34584704 34866700 35500640 35616350 35728000 35819872 36369575 36768520 37004000 37030840 37268000 38353370 38473600 38599000 39050704 39177985 39300800 40445372 40704400 40733924 41444480 42080500 42188707 42320960 43230880 43583375 44375800 44629376 44774840 45588928 45960650 46288550 46553056 47096000 48092000 48813380 49126000 50556715 50715200 50880500 50917405 51475928 51805600 52901200 53694718 53863040 54038600 55469750 55786720 55968550 56144000 56986160 58191320 58829632 59249344 61016725 61208000 61365392 61758400 62684776 63394000 64344910 64757000 65127040 66126500 67328800 67548250 69733400 70779401 71001280 71232700 71639744 72739150 73537040 74008000 74061680 74536000 76706740 77198000 78101408 78355970 78601600 80890744 81408800 81467848 84161000 84377414 84641920 86461760 87166750 88751600 89040875 89549680 91177856 91921300 92577100 93106112 94192000 95883425 96184000 97626760 98252000 101113430 101430400 101761000 101834810 102951856 103611200 105802400 107389436 108077200 110939500 111224773 111573440 111937100 113972320 114901625 115721375 116382640 117659264 118498688 122033450 122416000 122730784 123516800 125369552 126788000 128689820 129514000 132253000 134236795 134657600 135096500 139466800 139921375 141558802 142002560 142465400 143279488 145478300 147074080 148016000 148123360 149072000 153413480 154396000 156202816 156711940 160862275 161781488 162817600 162935696 168322000 168754828 172923520 174333500 177503200 178081750 179099360 181847875 183842600 185154200 186212224 191766850 192368000 195253520 195889925 196504000 202226860 203522000 203669620 205903712 207222400 210943535 211604800 214778872 216154400 221879000 222449546 223146880 223874200 227944640 229803250 231442750 232765280 244066900 245461568 250739104 252783575 253576000 254587025 257379640 259028000 264506000 268473590 269315200 270193000 278933600 279842750 283117604 284930800 290956600 294148160 295320949 296246720 305083625 306826960 308792000 312405632 313423880 321724550 323562976 325635200 325871392 336644000 337509656 348667000 353897005 355006400 356163500 358198720 363695750 367685200 370308400 383533700 390507040 391779850 393008000 404453720 407044000 407339240 411807424 421887070 423209600 429557744 432308800 443758000 444899092 447748400 455889280 459606500 462885500 465530560 479417125 488133800 490923136 501478208 505567150 507152000 509174050 514759280 518056000 529012000 536947180 540386000 556123865 557867200 559685500 566235208 569861600 581913200 588296320 590641898 592493440 610167250 613653920 617584000 626847760 643449100 647125952 651742784 671183975 673288000 675019312 697334000 707794010 710012800 712327000 716397440 727391500 735370400 740616800 767067400 778573411 781014080 783559700 804311375 808907440 814088000 814678480 823614848 843774140 859115488 864617600 887516000 889798184 895496800 919213000 925771000 931061120 958834250 976267600 979449625 1002956416 1011134300 1018348100 1029518560 1036112000 1054717675 1058024000 1073894360 1080772000 1112247730 1115734400 1119371000 1132470416 1139723200 1163826400 1181283796 1220334500 1223472503 1227307840 1253695520 1263917875 1272935125 1286898200 1294251904 1303485568 1342367950 1346576000 1350038624 1394668000 1415588020 1424654000 1454783000 1470740800 1476604745 1481233600 1534134800 1557146822 1562028160 1567119400 1608622750 1617814880 1628176000 1629356960 1687548280 1718230976 1769485025 1775032000 1779596368 1790993600 1838426000 1851542000 1917668500 1952535200 1958899250 2022268600 2036696200 2059037120 2109435350 2116048000 2147788720 2161544000 2224495460 2238742000 2264940832 2279446400 2327652800 2362567592 2440669000 2446945006 2454615680 2507391040 2527835750 2545870250 2573796400 2684735900 2700077248 2780619325 2789336000 2831176040 2849308000 2909566000 2941481600 2953209490 2962467200 3068269600 3114293644 3134238800 3217245500 3235629760 3258713920 3355919875 3375096560 3436461952 3538970050 3550064000 3559192736 3581987200 3676852000 3703084000 3835337000 3892867055 3905070400 3917798500 4044537200 4073392400 4118074240 4218870700 4295577440 4323088000 4448990920 4477484000 4529881664 4655305600 4725135184 4881338000 4893890012 5014782080 5055671500 5091740500 5147592800 5273588375 5369471800 5400154496 5561238650 5578672000 5662352080 5698616000 5819132000 5906418980 6117362515 6136539200 6228587288 6268477600 6434491000 6471259520 6517427840 6711839750 6750193120 7077940100 7118385472 7353704000 7383023725 7406168000 7670674000 7785734110 7810140800 7835597000 8089074400 8146784800 8437741400 8564307521 8591154880 8847425125 8897981840 8954968000 9059763328 9450270368 9762676000 9787780024 10111343000 10183481000 10295185600 10547176750 10738943600 11122477300 11324704160 11397232000 11638264000 11812837960 12234725030 12273078400 12457174576 12536955200 12868982000 13423679500 13500386240 13903096625 14155880200 14236770944 14707408000 14766047450 14812336000 15341348000 15571468220 15671194000 16178148800 16293569600 16875482800 17128615042 17182309760 17694850250 17795963680 17909936000 18900540736 19464335275 19525352000 19575560048 20222686000 20366962000 20590371200 21094353500 21477887200 22244954600 22649408320 23276528000 23625675920 24469450060 24914349152 25073910400 25737964000 26847359000 27000772480 27806193250 28311760400 29532094900 30586812575 30682696000 31142936440 31342388000 32356297600 32587139200 33750965600 34257230084 35389700500 35591927360 36915118625 37801081472 38928670550 39050704000 39151120096 40445372000 40733924000 42188707000 42821537605 42955774400 44489909200 45298816640 47251351840 48938900120 49828698304 51475928000 53694718000 55612386500 56623520800 59064189800 61173625150 61365392000 62285872880 62684776000 67501931200 68514460168 70779401000 71183854720 73830237250 77857341100 78302240192 80890744000 81467848000 84377414000 85643075210 85911548800 88979818400 94502703680 97321676375 97877800240 99657396608 102951856000 107389436000 111224773000 113247041600 118128379600 122347250300 124571745760 125369552000 135003862400 137028920336 141558802000 147660474500 152934062875 155714682200 156604480384 161781488000 162935696000 168754828000 171286150420 177959636800 189005407360 194643352750 195755600480 214107688025 214778872000 222449546000 226494083200 236256759200 244694500600 249143491520 274057840672 283117604000 295320949000 305868125750 311429364400 337509656000 342572300840 355919273600 389286705500 391511200960 428215376050 429557744000 444899092000 472513518400 489389001200 498286983040 548115681344 566235208000 590641898000 611736251500 622858728800 675019312000 685144601680 778573411000 783022401920 856430752100 889798184000 945027036800 978778002400 1070538440125 1096231362688 1132470416000 1181283796000 1223472503000 1245717457600 1370289203360 1557146822000 1712861504200 1779596368000 1957556004800 2141076880250 2362567592000 2446945006000 2491434915200 2740578406720 3114293644000 3425723008400 3915112009600 4282153760500 4725135184000 4893890012000 5481156813440 6228587288000 6851446016800 8564307521000 9787780024000 12457174576000 13702892033600 17128615042000 19575560048000 27405784067200 34257230084000 68514460168000 137028920336000
- Sum of all divisors σ(n): 443947198256640
- Sum of proper divisors (its aliquot sum) s(n): 306918277920640
- 137028920336000 is an abundant number, because the sum of its proper divisors (306918277920640) is greater than itself. Its abundance is 169889357584640
Bases of 137028920336000
- Binary: 111110010100000100010000001111011011110100000002
- Hexadecimal: 0x7CA0881EDE80
- Base-36: 1CKM7T6PA8
Squares and roots of 137028920336000
- 137028920336000 squared (1370289203360002) is 18776925008449834352896000000
- 137028920336000 cubed (1370289203360003) is 2572981761137918478395382094893056000000000
-
The
square root of 137028920336000 is 11705935.2610545391 -
The
cube root of 137028920336000 is 51554.9945517659
Scales and comparisons
How big is 137028920336000?- 137,028,920,336,000 seconds is equal to 4,357,095 years, 42 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 137,028,920,336,000 would take you about ten million, eight hundred ninety-two thousand, seven hundred thirty-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 137028920336000 cubic inches would be around 4296.2 feet tall.
Recreational maths with 137028920336000
- 137028920336000 backwards is 000633029820731
- 137028920336000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137028920336000's digits is 44
- 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 137028920336000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 137028920336000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/137028920336000/
Chicago style:
Numbermatics. 2024. "Number 137028920336000 - Facts about the integer". https://numbermatics.com/n/137028920336000/
The information we have on file for 137028920336000 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 137028920336000, math, Factors of 137028920336000, curriculum, school, college, exams, university, Prime factorization of 137028920336000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, twenty-eight billion, nine hundred twenty million, three hundred thirty-six thousand.