135138728960000
135,138,728,960,000 is an even composite number composed of six prime numbers multiplied together.
135138728960000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty divisors.
Prime factorization of 135138728960000:
213 × 54 × 37 × 41 × 127 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 37 × 41 × 127 × 137)See below for interesting mathematical facts about the number 135138728960000 from the Numbermatics database.
Names of 135138728960000
- Cardinal: 135138728960000 can be written as One hundred thirty-five trillion, one hundred thirty-eight billion, seven hundred twenty-eight million, nine hundred sixty thousand.
Scientific notation
- Scientific notation: 1.3513872896 × 1014
Factors of 135138728960000
Divisors of 135138728960000
- Number of divisors d(n): 1120
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 37 40 41 50 64 74 80 82 100 125 127 128 137 148 160 164 185 200 205 250 254 256 274 296 320 328 370 400 410 500 508 512 548 592 625 635 640 656 685 740 800 820 925 1000 1016 1024 1025 1096 1184 1250 1270 1280 1312 1370 1480 1517 1600 1640 1850 2000 2032 2048 2050 2192 2368 2500 2540 2560 2624 2740 2960 3034 3175 3200 3280 3425 3700 4000 4064 4096 4100 4384 4625 4699 4736 5000 5069 5080 5120 5125 5207 5248 5480 5617 5920 6068 6350 6400 6560 6850 7400 7585 8000 8128 8192 8200 8768 9250 9398 9472 10000 10138 10160 10240 10250 10414 10496 10960 11234 11840 12136 12700 12800 13120 13700 14800 15170 15875 16000 16256 16400 17125 17399 17536 18500 18796 18944 20000 20276 20320 20480 20500 20828 20992 21920 22468 23125 23495 23680 24272 25345 25400 25600 25625 26035 26240 27400 28085 29600 30340 31750 32000 32512 32800 34250 34798 35072 37000 37592 37888 37925 40000 40552 40640 40960 41000 41656 41984 43840 44936 46250 46990 47360 48544 50690 50800 51200 51250 52070 52480 54800 56170 59200 60680 63500 64000 65024 65600 68500 69596 70144 74000 75184 75776 75850 79375 80000 81104 81280 82000 83312 83968 85625 86995 87680 89872 92500 93980 94720 97088 101380 101600 102400 102500 104140 104960 109600 112340 117475 118400 121360 126725 127000 128000 130048 130175 131200 137000 139192 140288 140425 148000 150368 151552 151700 158750 160000 162208 162560 164000 166624 167936 171250 173990 175360 179744 185000 187960 189440 189625 192659 194176 202760 203200 204800 205000 207829 208280 209920 219200 224680 234950 236800 242720 253450 254000 256000 260096 260350 262400 274000 278384 280576 280850 296000 300736 303104 303400 317500 320000 324416 325120 328000 333248 335872 342500 347980 350720 359488 370000 375920 378880 379250 385318 388352 405520 406400 410000 415658 416560 419840 434975 438400 449360 469900 473600 485440 506900 508000 512000 520192 520700 524800 548000 556768 561152 561700 587375 592000 601472 606800 633625 635000 640000 643763 648832 650240 650875 656000 666496 685000 695960 701440 702125 713359 718976 740000 751840 757760 758500 770636 776704 811040 812800 820000 831316 833120 839680 869950 876800 898720 939800 947200 948125 963295 970880 1013800 1016000 1024000 1039145 1040384 1041400 1049600 1096000 1113536 1122304 1123400 1174750 1184000 1202944 1213600 1267250 1270000 1280000 1287526 1297664 1300480 1301750 1312000 1332992 1370000 1391920 1402880 1404250 1426718 1437952 1480000 1503680 1515520 1517000 1541272 1553408 1622080 1625600 1640000 1662632 1666240 1679360 1739900 1753600 1797440 1879600 1894400 1896250 1926590 1941760 2027600 2032000 2078290 2082800 2099200 2174875 2192000 2227072 2246800 2349500 2368000 2405888 2427200 2534500 2540000 2560000 2575052 2595328 2600960 2603500 2624000 2665984 2740000 2783840 2805760 2808500 2853436 2875904 2936875 2960000 3007360 3034000 3082544 3106816 3168125 3218815 3244160 3251200 3254375 3280000 3325264 3332480 3479800 3507200 3510625 3566795 3594880 3759200 3788800 3792500 3853180 3883520 4055200 4064000 4156580 4165600 4198400 4349750 4384000 4454144 4493600 4699000 4736000 4811776 4816475 4854400 5069000 5080000 5120000 5150104 5190656 5195725 5201920 5207000 5248000 5331968 5480000 5567680 5611520 5617000 5706872 5751808 5873750 5920000 6014720 6068000 6165088 6213632 6336250 6437630 6488320 6502400 6508750 6560000 6650528 6664960 6959600 7014400 7021250 7133590 7189760 7518400 7577600 7585000 7706360 7767040 8110400 8128000 8313160 8331200 8396800 8699500 8768000 8908288 8987200 9398000 9472000 9623552 9632950 9708800 10138000 10160000 10300208 10381312 10391450 10414000 10496000 10663936 10874375 10960000 11135360 11234000 11413744 11503616 11747500 11840000 12029440 12136000 12330176 12427264 12672500 12875260 12976640 13004800 13017500 13120000 13301056 13329920 13919200 14028800 14042500 14267180 14379520 15036800 15170000 15412720 15534080 16094075 16220800 16256000 16626320 16662400 17399000 17536000 17816576 17833975 17974400 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81280000 82401664 83131600 83312000 86995000 87680000 89082880 89169875 89872000 91309952 93980000 94720000 96235520 96329500 97088000 98641408 101380000 103002080 103813120 103914500 104140000 104960000 105577132 106408448 106639360 111353600 112340000 114137440 115036160 120294400 120411875 121360000 123301760 128752600 129766400 129893125 130048000 131971415 133010560 133299200 139192000 140288000 142532608 142671800 143795200 150368000 154127200 155340800 160940750 162208000 162560000 164803328 166263200 166624000 173990000 175360000 178165760 178339750 179744000 182619904 187960000 189440000 192471040 192659000 194176000 197282816 202760000 206004160 207626240 207829000 208280000 209920000 211154264 212816896 213278720 222707200 224680000 228274880 230072320 240588800 240823750 242720000 246603520 257505200 259532800 259786250 263942830 266021120 266598400 278384000 285343600 287590400 300736000 308254400 310681600 321881500 324416000 325120000 329606656 332526400 333248000 347980000 350720000 356331520 356679500 359488000 365239808 375920000 385318000 388352000 394565632 402351875 405520000 412008320 415658000 416560000 422308528 425633792 445414400 445849375 449360000 456549760 481177600 481647500 485440000 493207040 515010400 519065600 519572500 527885660 532042240 533196800 556768000 570687200 575180800 601472000 616508800 643763000 648832000 650240000 659213312 659857075 665052800 666496000 695960000 701440000 712663040 713359000 718976000 730479616 751840000 770636000 776704000 789131264 804703750 811040000 824016640 831316000 833120000 844617056 851267584 890828800 891698750 898720000 913099520 962355200 963295000 970880000 986414080 1030020800 1038131200 1039145000 1055771320 1064084480 1066393600 1113536000 1141374400 1150361600 1202944000 1233017600 1287526000 1297664000 1318426624 1319714150 1330105600 1332992000 1391920000 1426718000 1437952000 1460959232 1503680000 1541272000 1553408000 1578262528 1609407500 1622080000 1648033280 1662632000 1666240000 1689234112 1702535168 1781657600 1783397500 1797440000 1826199040 1926590000 1941760000 1972828160 2060041600 2078290000 2111542640 2128168960 2227072000 2282748800 2405888000 2466035200 2575052000 2595328000 2636853248 2639428300 2660211200 2665984000 2783840000 2853436000 2875904000 2921918464 3007360000 3082544000 3218815000 3244160000 3296066560 3299285375 3325264000 3332480000 3378468224 3563315200 3566795000 3594880000 3652398080 3853180000 3883520000 3945656320 4120083200 4156580000 4223085280 4256337920 4454144000 4565497600 4811776000 4932070400 5150104000 5190656000 5273706496 5278856600 5320422400 5331968000 5567680000 5706872000 5751808000 5843836928 6014720000 6165088000 6437630000 6488320000 6592133120 6598570750 6650528000 6664960000 6756936448 7133590000 7189760000 7304796160 7706360000 7767040000 7891312640 8240166400 8313160000 8446170560 8512675840 8908288000 9130995200 9864140800 10300208000 10557713200 10640844800 11135360000 11413744000 12029440000 12330176000 12875260000 12976640000 13184266240 13197141500 13301056000 13329920000 13513872896 14267180000 14379520000 14609592320 15412720000 16480332800 16496426875 16626320000 16892341120 17816576000 18261990400 19728281600 20600416000 21115426400 21281689600 22270720000 22827488000 24058880000 24660352000 25750520000 25953280000 26368532480 26394283000 26602112000 26659840000 27027745792 28534360000 28759040000 29219184640 30825440000 32960665600 32992853750 33252640000 33784682240 36523980800 39456563200 41200832000 42230852800 42563379200 44541440000 45654976000 49320704000 51501040000 52788566000 53204224000 54055491584 57068720000 61650880000 65921331200 65985707500 66505280000 67569364480 73047961600 82401664000 84461705600 89082880000 91309952000 98641408000 103002080000 105577132000 106408448000 108110983168 114137440000 123301760000 131842662400 131971415000 133010560000 135138728960 146095923200 164803328000 168923411200 182619904000 197282816000 206004160000 211154264000 212816896000 216221966336 228274880000 246603520000 263942830000 266021120000 270277457920 329606656000 337846822400 365239808000 412008320000 422308528000 456549760000 493207040000 527885660000 532042240000 540554915840 659213312000 675693644800 730479616000 824016640000 844617056000 913099520000 986414080000 1055771320000 1064084480000 1081109831680 1351387289600 1648033280000 1689234112000 1826199040000 2111542640000 2702774579200 3296066560000 3378468224000 3652398080000 4223085280000 5405549158400 6756936448000 8446170560000 13513872896000 16892341120000 27027745792000 33784682240000 67569364480000 135138728960000
- Sum of all divisors σ(n): 360716832064512
- Sum of proper divisors (its aliquot sum) s(n): 225578103104512
- 135138728960000 is an abundant number, because the sum of its proper divisors (225578103104512) is greater than itself. Its abundance is 90439374144512
Bases of 135138728960000
- Binary: 111101011101000011011111110111101100000000000002
- Hexadecimal: 0x7AE86FEF6000
- Base-36: 1BWHVI1LA8
Squares and roots of 135138728960000
- 135138728960000 squared (1351387289600002) is 18262476064924342681600000000
- 135138728960000 cubed (1351387289600003) is 2467967803076298108554901979136000000000000
-
The
square root of 135138728960000 is 11624918.4496064315 -
The
cube root of 135138728960000 is 51316.8444723367
Scales and comparisons
How big is 135138728960000?- 135,138,728,960,000 seconds is equal to 4,296,993 years, 29 weeks, 4 days, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 135,138,728,960,000 would take you about ten million, seven hundred forty-two thousand, four 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 135138728960000 cubic inches would be around 4276.4 feet tall.
Recreational maths with 135138728960000
- 135138728960000 backwards is 000069827831531
- The number of decimal digits it has is: 15
- The sum of 135138728960000's digits is 53
- More coming soon!
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The information we have on file for 135138728960000 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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