137728914912000
137,728,914,912,000 is an even composite number composed of six prime numbers multiplied together.
137728914912000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 137728914912000:
28 × 32 × 53 × 292 × 71 × 8009
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 29 × 29 × 71 × 8009)See below for interesting mathematical facts about the number 137728914912000 from the Numbermatics database.
Names of 137728914912000
- Cardinal: 137728914912000 can be written as One hundred thirty-seven trillion, seven hundred twenty-eight billion, nine hundred fourteen million, nine hundred twelve thousand.
Scientific notation
- Scientific notation: 1.37728914912 × 1014
Factors of 137728914912000
Divisors of 137728914912000
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 29 30 32 36 40 45 48 50 58 60 64 71 72 75 80 87 90 96 100 116 120 125 128 142 144 145 150 160 174 180 192 200 213 225 232 240 250 256 261 284 288 290 300 320 348 355 360 375 384 400 426 435 450 464 480 500 522 568 576 580 600 639 640 696 710 720 725 750 768 800 841 852 870 900 928 960 1000 1044 1065 1125 1136 1152 1160 1200 1278 1280 1305 1392 1420 1440 1450 1500 1600 1682 1704 1740 1775 1800 1856 1920 2000 2059 2088 2130 2175 2250 2272 2304 2320 2400 2523 2556 2610 2784 2840 2880 2900 3000 3195 3200 3364 3408 3480 3550 3600 3625 3712 3840 4000 4118 4176 4205 4260 4350 4500 4544 4640 4800 5046 5112 5220 5325 5568 5680 5760 5800 6000 6177 6390 6400 6525 6728 6816 6960 7100 7200 7250 7424 7569 8000 8009 8236 8352 8410 8520 8700 8875 9000 9088 9280 9600 10092 10224 10295 10440 10650 10875 11136 11360 11520 11600 12000 12354 12615 12780 13050 13456 13632 13920 14200 14400 14500 15138 15975 16000 16018 16472 16704 16820 17040 17400 17750 18000 18176 18531 18560 19200 20184 20448 20590 20880 21025 21300 21750 22272 22720 23200 24000 24027 24708 25230 25560 26100 26625 26912 27264 27840 28400 28800 29000 30276 30885 31950 32000 32036 32625 32944 33408 33640 34080 34800 35500 36000 37062 37120 37845 40045 40368 40896 41180 41760 42050 42600 43500 45440 46400 48000 48054 49416 50460 51120 51475 52200 53250 53824 54528 55680 56800 57600 58000 59711 60552 61770 63075 63900 64072 65250 65888 66816 67280 68160 69600 71000 72000 72081 74124 75690 79875 80090 80736 81792 82360 83520 84100 85200 87000 90880 92655 92800 96000 96108 98832 100920 102240 102950 104400 105125 106500 107648 111360 113600 116000 119422 120135 121104 123540 126150 127800 128144 130500 131776 134560 136320 139200 142000 144000 144162 148248 151380 154425 159750 160180 161472 163584 164720 167040 168200 170400 174000 179133 185310 185600 189225 192216 197664 200225 201840 204480 205900 208800 210250 213000 215296 227200 232000 232261 238844 240270 242208 247080 252300 255600 256288 257375 261000 263552 269120 272640 278400 284000 288000 288324 296496 298555 302760 308850 315375 319500 320360 322944 329440 334080 336400 340800 348000 358266 360405 370620 378450 384432 395328 400450 403680 408960 411800 417600 420500 426000 454400 463275 464000 464522 477688 480540 484416 494160 504600 511200 512576 514750 522000 527104 537399 538240 556800 568000 568639 576648 592992 597110 600675 605520 617700 630750 639000 640720 645888 658880 672800 681600 696000 696783 716532 720810 741240 756900 768864 772125 790656 800900 807360 817920 823600 835200 841000 852000 895665 926550 928000 929044 946125 955376 961080 968832 988320 1001125 1009200 1022400 1025152 1029500 1044000 1074798 1076480 1136000 1137278 1153296 1161305 1185984 1194220 1201350 1211040 1235400 1261500 1278000 1281440 1317760 1345600 1363200 1392000 1393566 1433064 1441620 1482480 1492775 1513800 1537728 1544250 1581312 1601800 1614720 1647200 1670400 1682000 1704000 1705917 1791330 1802025 1853100 1858088 1892250 1910752 1922160 1937664 1976640 2002250 2018400 2044800 2050304 2059000 2088000 2090349 2149596 2272000 2274556 2306592 2316375 2322610 2371968 2388440 2402700 2422080 2470800 2523000 2556000 2562880 2635520 2686995 2691200 2784000 2787132 2843195 2866128 2883240 2964960 2985550 3003375 3027600 3075456 3088500 3203600 3229440 3294400 3364000 3408000 3411834 3483915 3582660 3604050 3706200 3716176 3784500 3821504 3844320 3953280 4004500 4036800 4089600 4118000 4176000 4180698 4299192 4478325 4549112 4613184 4632750 4645220 4743936 4776880 4805400 4844160 4941600 5046000 5112000 5117751 5125760 5373990 5382400 5574264 5686390 5732256 5766480 5806525 5929920 5971100 6006750 6055200 6150912 6177000 6407200 6588800 6728000 6735569 6816000 6823668 6967830 7165320 7208100 7412400 7432352 7463875 7569000 7643008 7688640 7906560 8009000 8073600 8236000 8352000 8361396 8529585 8598384 8956650 9010125 9098224 9226368 9265500 9290440 9553760 9610800 9688320 9883200 10092000 10224000 10235502 10251520 10451745 10747980 11148528 11372780 11464512 11532960 11613050 11859840 11942200 12013500 12110400 12354000 12814400 13177600 13434975 13456000 13471138 13647336 13935660 14215975 14330640 14416200 14824800 14864704 14927750 15138000 15286016 15377280 16018000 16147200 16472000 16490531 16722792 17059170 17196768 17419575 17913300 18020250 18196448 18452736 18531000 18580880 19107520 19221600 19766400 20184000 20206707 20448000 20471004 20903490 21495960 22297056 22391625 22745560 22929024 23065920 23226100 23719680 23884400 24027000 24220800 24708000 25588755 25628800 26869950 26912000 26942276 27294672 27871320 28431950 28661280 28832400 29032625 29649600 29729408 29855500 30276000 30754560 32036000 32944000 32981062 33445584 33677845 34118340 34393536 34839150 35826600 36040500 36392896 37062000 37161760 38215040 38443200 39532800 40368000 40413414 40942008 41806980 42647925 42991920 44594112 44783250 45491120 45858048 46131840 46452200 47768800 48054000 48441600 49416000 49471593 51177510 51257600 52258725 53739900 53884552 54589344 55742640 56863900 57322560 57664800 58065250 59299200 59458816 59711000 60552000 60620121 64072000 65888000 65962124 66891168 67174875 67355690 68236680 68787072 69678300 71079875 71653200 72081000 72785792 74124000 74323520 76430080 76886400 80736000 80826828 81884016 82452655 83613960 85295850 85983840 87097875 89188224 89566500 90982240 92263680 92904400 95537600 96108000 98832000 98943186 101033535 102355020 104517450 107479800 107769104 109178688 111485280 113727800 114645120 115329600 116130500 118598400 119422000 121104000 121240242 127943775 128144000 131924248 133782336 134349750 134711380 136473360 137574144 139356600 142159750 143306400 144162000 145571584 148248000 148414779 148647040 153772800 161653656 163768032 164905310 167227920 168389225 170591700 171967680 174195750 178376448 179133000 181964480 185808800 191075200 192216000 197664000 197886372 202067070 204710040 209034900 213239625 214959600 215538208 218357376 222970560 227455600 229290240 230659200 232261000 238844000 242208000 242480484 247357965 255887550 256288000 261293625 263848496 267564672 268699500 269422760 272946720 278713200 284319500 286612800 288324000 296496000 296829558 297294080 303100605 323307312 327536064 329810620 334455840 336778450 341183400 343935360 348391500 358266000 363928960 371617600 382150400 384432000 395772744 404134140 409420080 412263275 418069800 426479250 429919200 431076416 436714752 445941120 454911200 461318400 464522000 477688000 478225399 484960968 494715930 505167675 511775100 522587250 527696992 535129344 537399000 538845520 545893440 557426400 568639000 573225600 576648000 592992000 593659116 606201210 639718875 646614624 655072128 659621240 668911680 673556900 682366800 687870720 696783000 716532000 727857920 742073895 743235200 768864000 791545488 808268280 818840160 824526550 836139600 841946125 852958500 859838400 862152832 891882240 909822400 929044000 955376000 956450798 969921936 989431860 1010335350 1023550200 1045174500 1055393984 1074798000 1077691040 1091786880 1114852800 1137278000 1146451200 1153296000 1187318232 1212402420 1236789825 1279437750 1293229248 1310144256 1319242480 1337823360 1347113800 1364733600 1393566000 1433064000 1434676197 1484147790 1486470400 1515503025 1583090976 1616536560 1637680320 1649053100 1672279200 1683892250 1705917000 1719676800 1724305664 1819644800 1858088000 1910752000 1912901596 1939843872 1978863720 2020670700 2047100400 2061316375 2090349000 2110787968 2149596000 2155382080 2183573760 2229705600 2274556000 2306592000 2374636464 2391126995 2424804840 2473579650 2525838375 2558875500 2586458496 2638484960 2675646720 2694227600 2729467200 2787132000 2866128000 2869352394 2968295580 3031006050 3166181952 3233073120 3275360640 3298106200 3344558400 3367784500 3411834000 3439353600 3639289600 3710369475 3716176000 3825803192 3879687744 3957727440 4041341400 4094200800 4122632750 4180698000 4221575936 4299192000 4304028591 4310764160 4459411200 4549112000 4749272928 4782253990 4849609680 4947159300 5051676750 5117751000 5172916992 5276969920 5388455200 5458934400 5574264000 5732256000 5738704788 5936591160 6062012100 6183949125 6332363904 6466146240 6550721280 6596212400 6689116800 6735569000 6823668000 7173380985 7420738950 7432352000 7577515125 7651606384 7759375488 7915454880 8082682800 8188401600 8245265500 8361396000 8598384000 8608057182 8621528320 9098224000 9498545856 9564507980 9699219360 9894318600 10103353500 10235502000 10553939840 10776910400 10917868800 11148528000 11477409576 11873182320 11955634975 12124024200 12367898250 12664727808 12932292480 13192424800 13378233600 13471138000 13647336000 14346761970 14841477900 15155030250 15303212768 15518750976 15830909760 16165365600 16376803200 16490531000 16722792000 17196768000 17216114364 18196448000 18551847375 18997091712 19129015960 19398438720 19788637200 20206707000 20471004000 21107879680 21520142955 21553820800 22297056000 22954819152 23746364640 23911269950 24248048400 24735796500 25864584960 26384849600 26942276000 27294672000 28693523940 29682955800 30310060500 30606425536 31661819520 32330731200 32753606400 32981062000 33445584000 34432228728 35866904925 37103694750 37994183424 38258031920 38796877440 39577274400 40413414000 40942008000 43040285910 43107641600 45909638304 47492729280 47822539900 48496096800 49471593000 52769699200 53884552000 54589344000 57387047880 59365911600 59778174875 60620121000 61212851072 63323639040 64661462400 65962124000 66891168000 68864457456 71733809850 74207389500 76516063840 77593754880 79154548800 80826828000 81884016000 86080571820 91819276608 94985458560 95645079800 96992193600 98943186000 105539398400 107600714775 107769104000 114774095760 118731823200 119556349750 121240242000 122425702144 129322924800 131924248000 137728914912 143467619700 148414779000 153032127680 158309097600 161653656000 163768032000 172161143640 179334524625 183638553216 189970917120 191290159600 193984387200 197886372000 215201429550 215538208000 229548191520 237463646400 239112699500 242480484000 263848496000 275457829824 286935239400 296829558000 306064255360 316618195200 323307312000 344322287280 358669049250 367277106432 382580319200 387968774400 395772744000 430402859100 459096383040 474927292800 478225399000 484960968000 527696992000 538003573875 550915659648 573870478800 593659116000 612128510720 646614624000 688644574560 717338098500 765160638400 791545488000 860805718200 918192766080 949854585600 956450798000 969921936000 1076007147750 1101831319296 1147740957600 1187318232000 1377289149120 1434676197000 1530321276800 1583090976000 1721611436400 1836385532160 1912901596000 1939843872000 2152014295500 2295481915200 2374636464000 2754578298240 2869352394000 3060642553600 3443222872800 3825803192000 4304028591000 4590963830400 4749272928000 5509156596480 5738704788000 6886445745600 7651606384000 8608057182000 9181927660800 11477409576000 13772891491200 15303212768000 17216114364000 22954819152000 27545782982400 34432228728000 45909638304000 68864457456000 137728914912000
- Sum of all divisors σ(n): 520561467840960
- Sum of proper divisors (its aliquot sum) s(n): 382832552928960
- 137728914912000 is an abundant number, because the sum of its proper divisors (382832552928960) is greater than itself. Its abundance is 245103638016960
Bases of 137728914912000
- Binary: 111110101000011100000110000110001110011000000002
- Hexadecimal: 0x7D43830C7300
- Base-36: 1CTJSFVSW0
Squares and roots of 137728914912000
- 137728914912000 squared (1377289149120002) is 18969254002836935967744000000
- 137728914912000 cubed (1377289149120003) is 2612614770500843760512205752598528000000000
-
The
square root of 137728914912000 is 11735796.3049807575 -
The
cube root of 137728914912000 is 51642.6328391201
Scales and comparisons
How big is 137728914912000?- 137,728,914,912,000 seconds is equal to 4,379,353 years, 24 weeks, 3 days, 8 hours.
-
To count from 1 to 137,728,914,912,000 would take you about ten million, nine hundred forty-eight thousand, three hundred eighty-three 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 137728914912000 cubic inches would be around 4303.6 feet tall.
Recreational maths with 137728914912000
- 137728914912000 backwards is 000219419827731
- The number of decimal digits it has is: 15
- The sum of 137728914912000's digits is 54
- More coming soon!
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The information we have on file for 137728914912000 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!
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