136438242304000
136,438,242,304,000 is an even composite number composed of six prime numbers multiplied together.
136438242304000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 136438242304000:
213 × 53 × 7 × 13 × 292 × 1741
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 29 × 29 × 1741)See below for interesting mathematical facts about the number 136438242304000 from the Numbermatics database.
Names of 136438242304000
- Cardinal: 136438242304000 can be written as One hundred thirty-six trillion, four hundred thirty-eight billion, two hundred forty-two million, three hundred four thousand.
Scientific notation
- Scientific notation: 1.36438242304 × 1014
Factors of 136438242304000
Divisors of 136438242304000
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 29 32 35 40 50 52 56 58 64 65 70 80 91 100 104 112 116 125 128 130 140 145 160 175 182 200 203 208 224 232 250 256 260 280 290 320 325 350 364 377 400 406 416 448 455 464 500 512 520 560 580 640 650 700 725 728 754 800 812 832 841 875 896 910 928 1000 1015 1024 1040 1120 1160 1280 1300 1400 1450 1456 1508 1600 1624 1625 1664 1682 1741 1750 1792 1820 1856 1885 2000 2030 2048 2080 2240 2275 2320 2560 2600 2639 2800 2900 2912 3016 3200 3248 3250 3328 3364 3482 3500 3584 3625 3640 3712 3770 4000 4060 4096 4160 4205 4480 4550 4640 5075 5120 5200 5278 5600 5800 5824 5887 6032 6400 6496 6500 6656 6728 6964 7000 7168 7250 7280 7424 7540 8000 8120 8192 8320 8410 8705 8960 9100 9280 9425 10150 10240 10400 10556 10933 11200 11375 11600 11648 11774 12064 12187 12800 12992 13000 13195 13312 13456 13928 14000 14336 14500 14560 14848 15080 16000 16240 16640 16820 17410 17920 18200 18560 18850 20300 20480 20800 21025 21112 21866 22400 22633 22750 23200 23296 23548 24128 24374 25375 25600 25984 26000 26390 26624 26912 27856 28000 28672 29000 29120 29435 29696 30160 32000 32480 33280 33640 34820 35840 36400 37120 37700 40600 40960 41600 42050 42224 43525 43732 44800 45266 45500 46400 46592 47096 47125 48256 48748 50489 50750 51200 51968 52000 52780 53248 53824 54665 55712 56000 57344 58000 58240 58870 59392 60320 60935 64000 64960 65975 66560 67280 69640 71680 72800 74240 75400 76531 81200 83200 84100 84448 87050 87464 89600 90532 91000 92800 93184 94192 94250 96512 97496 100978 101500 102400 103936 104000 105125 105560 106496 107648 109330 111424 112000 113165 116000 116480 117740 118784 120640 121870 128000 129920 131950 133120 134560 139280 143360 145600 147175 148480 150800 153062 158431 162400 166400 168200 168896 174100 174928 179200 181064 182000 185600 186368 188384 188500 193024 194992 201956 203000 204800 207872 208000 210250 211120 215296 217625 218660 222848 224000 226330 232000 232960 235480 237568 241280 243740 252445 256000 259840 263900 266240 269120 273325 278560 286720 291200 294350 296960 301600 304675 306124 316862 324800 329875 332800 336400 337792 348200 349856 353423 358400 362128 364000 371200 372736 376768 377000 382655 386048 389984 403912 406000 415744 416000 420500 422240 430592 435250 437320 445696 448000 452660 464000 465920 470960 482560 487480 504890 512000 519680 527800 532480 538240 546650 557120 565825 582400 588700 593920 603200 609350 612248 633724 649600 656357 659750 665600 672800 675584 696400 699712 706846 716800 724256 728000 735875 742400 745472 753536 754000 765310 772096 779968 792155 807824 812000 831488 832000 841000 844480 861184 870500 874640 891392 896000 905320 928000 931840 941920 965120 974960 1009780 1024000 1039360 1055600 1076480 1093300 1114240 1131650 1164800 1177400 1187840 1206400 1218700 1224496 1262225 1267448 1299200 1312714 1319500 1331200 1345600 1351168 1366625 1392800 1399424 1413692 1433600 1448512 1456000 1464181 1471750 1484800 1507072 1508000 1523375 1530620 1544192 1559936 1584310 1615648 1624000 1662976 1664000 1682000 1688960 1722368 1741000 1749280 1767115 1782784 1792000 1810640 1856000 1863680 1883840 1913275 1930240 1949920 2019560 2078720 2111200 2152960 2186600 2228480 2263300 2329600 2354800 2412800 2437400 2448992 2524450 2534896 2598400 2625428 2639000 2662400 2691200 2702336 2733250 2785600 2798848 2827384 2829125 2897024 2912000 2928362 2943500 2969600 3014144 3016000 3046750 3061240 3088384 3119872 3168620 3231296 3248000 3281785 3328000 3364000 3377920 3444736 3482000 3498560 3534230 3565568 3584000 3621280 3712000 3727360 3767680 3826550 3860480 3899840 3960775 4039120 4157440 4222400 4305920 4373200 4456960 4526600 4594499 4659200 4709600 4825600 4874800 4897984 5048900 5069792 5196800 5250856 5278000 5382400 5404672 5466500 5571200 5597696 5654768 5658250 5794048 5824000 5856724 5887000 5939200 6028288 6032000 6093500 6122480 6239744 6311125 6337240 6462592 6496000 6563570 6656000 6728000 6755840 6889472 6964000 6997120 7068460 7131136 7168000 7242560 7320905 7424000 7535360 7653100 7720960 7799680 7921550 8078240 8314880 8444800 8611840 8746400 8835575 8913920 9053200 9188998 9318400 9419200 9566375 9651200 9749600 9795968 10097800 10139584 10249267 10393600 10501712 10556000 10764800 10809344 10933000 11142400 11195392 11309536 11316500 11588096 11648000 11713448 11774000 12056576 12064000 12187000 12244960 12479488 12622250 12674480 12925184 12992000 13127140 13312000 13456000 13511680 13928000 13994240 14136920 14262272 14485120 14641810 14848000 15070720 15306200 15441920 15599360 15843100 16156480 16408925 16889600 17223680 17492800 17671150 17827840 18106400 18377996 18636800 18838400 19034353 19132750 19302400 19499200 19591936 19803875 20195600 20279168 20498534 20787200 21003424 21112000 21529600 21618688 21866000 22284800 22390784 22619072 22633000 22972495 23176192 23296000 23426896 23548000 24113152 24128000 24374000 24489920 24958976 25244500 25348960 25850368 25984000 26254280 26912000 27023360 27856000 27988480 28273840 28970240 29283620 29696000 30141440 30612400 31198720 31686200 32312960 32817850 33779200 34447360 34985600 35342300 35655680 36212800 36604525 36755992 37676800 38068706 38265500 38604800 38998400 39183872 39607750 40391200 40558336 40997068 41574400 42006848 42224000 43059200 43732000 44177875 44569600 44781568 45238144 45266000 45944990 46352384 46592000 46853792 47096000 48226304 48256000 48748000 48979840 49917952 50489000 50697920 51246335 51700736 51968000 52508560 53824000 54046720 55712000 55976960 56547680 57940480 58567240 60282880 61224800 62397440 63372400 64625920 65635700 67558400 69971200 70684600 71311360 72425600 73209050 73511984 75353600 76137412 76531000 77209600 77996800 78367744 79215500 80782400 81116672 81994136 82044625 84013696 84448000 86118400 87464000 88355750 89139200 89563136 90476288 90532000 91889980 92704768 93184000 93707584 94192000 95171765 96512000 97496000 97959680 99835904 100978000 101395840 102492670 103401472 103936000 105017120 107648000 108093440 111424000 111953920 113095360 114862475 115880960 117134480 120565760 122449600 124794880 126744800 129251840 131271400 133240471 135116800 139942400 141369200 144851200 146418100 147023968 150707200 152274824 153062000 155993600 156735488 158431000 161564800 162233344 163988272 164089250 168027392 168896000 172236800 174928000 176711500 178278400 180952576 181064000 183022625 183779960 185409536 187415168 188384000 190343530 193024000 194992000 195919360 201956000 202791680 204985340 206802944 207872000 210034240 215296000 222848000 223907840 226190720 229724950 231761920 234268960 241131520 244899200 249589760 253489600 256231675 258503680 262542800 266480942 270233600 279884800 282738400 289702400 292836200 294047936 301414400 304549648 306124000 311987200 313470976 316862000 323129600 324466688 327976544 328178500 336054784 337792000 349856000 353423000 356556800 361905152 362128000 366045250 367559920 374830336 376768000 380687060 386048000 389984000 391838720 403912000 405583360 409970680 413605888 420068480 430592000 445696000 447815680 452381440 459449900 463523840 468537920 475858825 489798400 499179520 506979200 512463350 517007360 525085600 532961884 540467200 559769600 565476800 574312375 579404800 585672400 588095872 602828800 609099296 612248000 623974400 626941952 633724000 646259200 648933376 655953088 656357000 666202355 672109568 675584000 699712000 706846000 723810304 724256000 732090500 735119840 749660672 753536000 761374120 779968000 783677440 807824000 811166720 819941360 840136960 861184000 891392000 904762880 918899800 927047680 937075840 951717650 979596800 1013958400 1024926700 1034014720 1050171200 1065923768 1119539200 1130953600 1148624750 1158809600 1171344800 1176191744 1205657600 1218198592 1224496000 1247948800 1267448000 1281158375 1292518400 1297866752 1311906176 1312714000 1332404710 1344219136 1351168000 1399424000 1413692000 1447620608 1448512000 1464181000 1470239680 1499321344 1507072000 1522748240 1559936000 1567354880 1615648000 1622333440 1639882720 1680273920 1782784000 1809525760 1837799600 1874151680 1903435300 1959193600 2027916800 2049853400 2068029440 2100342400 2131847536 2239078400 2261907200 2297249500 2317619200 2342689600 2352383488 2379294125 2436397184 2448992000 2495897600 2534896000 2562316750 2585036800 2623812352 2625428000 2664809420 2688438272 2702336000 2798848000 2827384000 2895241216 2897024000 2928362000 2940479360 2998642688 3014144000 3045496480 3119872000 3134709760 3231296000 3244666880 3279765440 3331011775 3360547840 3619051520 3675599200 3748303360 3806870600 3918387200 4055833600 4099706800 4200684800 4263695072 4523814400 4594499000 4635238400 4685379200 4704766976 4758588250 4872794368 4897984000 5069792000 5124633500 5170073600 5247624704 5250856000 5329618840 5376876544 5597696000 5654768000 5794048000 5856724000 5880958720 5997285376 6028288000 6090992960 6239744000 6462592000 6489333760 6559530880 6662023550 6721095680 7238103040 7351198400 7496606720 7613741200 7836774400 8111667200 8199413600 8401369600 8527390144 9047628800 9188998000 9370758400 9409533952 9517176500 9745588736 9795968000 10139584000 10249267000 10340147200 10495249408 10501712000 10659237680 11195392000 11309536000 11588096000 11713448000 11761917440 11994570752 12181985920 12479488000 12925184000 13119061760 13324047100 13442191360 14476206080 14702396800 14993213440 15227482400 15673548800 16223334400 16398827200 16655058875 16802739200 17054780288 18095257600 18377996000 18741516800 18819067904 19034353000 19491177472 19591936000 20279168000 20498534000 20990498816 21003424000 21318475360 22619072000 23176192000 23426896000 23523834880 24363971840 25850368000 26238123520 26648094200 26884382720 29404793600 29986426880 30454964800 32446668800 32797654400 33310117750 33605478400 34109560576 36190515200 36755992000 37483033600 37638135808 38068706000 38982354944 39183872000 40558336000 40997068000 41980997632 42006848000 42636950720 45238144000 46853792000 47047669760 48727943680 51700736000 52476247040 53296188400 58809587200 59972853760 60909929600 65595308800 66620235500 67210956800 68219121152 72381030400 73511984000 74966067200 76137412000 77964709888 78367744000 81116672000 81994136000 83961995264 84013696000 85273901440 90476288000 93707584000 94095339520 97455887360 104952494080 106592376800 117619174400 121819859200 131190617600 133240471000 134421913600 136438242304 147023968000 149932134400 152274824000 155929419776 162233344000 163988272000 168027392000 170547802880 180952576000 187415168000 188190679040 194911774720 209904988160 213184753600 235238348800 243639718400 262381235200 266480942000 272876484608 294047936000 299864268800 304549648000 327976544000 336054784000 341095605760 361905152000 374830336000 389823549440 419809976320 426369507200 470476697600 487279436800 524762470400 532961884000 545752969216 588095872000 609099296000 655953088000 672109568000 682191211520 749660672000 779647098880 852739014400 940953395200 974558873600 1049524940800 1065923768000 1091505938432 1176191744000 1218198592000 1311906176000 1364382423040 1499321344000 1705478028800 1949117747200 2099049881600 2131847536000 2352383488000 2436397184000 2623812352000 2728764846080 3410956057600 3898235494400 4263695072000 4704766976000 4872794368000 5247624704000 5457529692160 6821912115200 8527390144000 9745588736000 10495249408000 13643824230400 17054780288000 19491177472000 27287648460800 34109560576000 68219121152000 136438242304000
- Sum of all divisors σ(n): 434312528936832
- Sum of proper divisors (its aliquot sum) s(n): 297874286632832
- 136438242304000 is an abundant number, because the sum of its proper divisors (297874286632832) is greater than itself. Its abundance is 161436044328832
Bases of 136438242304000
- Binary: 111110000010111000000001111011101100000000000002
- Hexadecimal: 0x7C1700F76000
- Base-36: 1CD2V2QIV4
Squares and roots of 136438242304000
- 136438242304000 squared (1364382423040002) is 18615393963005015228416000000
- 136438242304000 cubed (1364382423040003) is 2539851632108897079701832114110464000000000
-
The
square root of 136438242304000 is 11680678.1611343097 -
The
cube root of 136438242304000 is 51480.8100563463
Scales and comparisons
How big is 136438242304000?- 136,438,242,304,000 seconds is equal to 4,338,314 years, 3 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 136,438,242,304,000 would take you about ten million, eight hundred forty-five thousand, seven hundred eighty-five 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 136438242304000 cubic inches would be around 4290.1 feet tall.
Recreational maths with 136438242304000
- 136438242304000 backwards is 000403242834631
- 136438242304000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 136438242304000's digits is 40
- More coming soon!
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The information we have on file for 136438242304000 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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