135579840000
135,579,840,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 135579840000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 800 divisors.
135579840000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred divisors.
Prime factorization of 135579840000:
29 × 3 × 54 × 11 × 37 × 347
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 11 × 37 × 347)See below for interesting mathematical facts about the number 135579840000 from the Numbermatics database.
Names of 135579840000
- Cardinal: 135579840000 can be written as One hundred thirty-five billion, five hundred seventy-nine million, eight hundred forty thousand.
Scientific notation
- Scientific notation: 1.3557984 × 1011
Factors of 135579840000
Divisors of 135579840000
- Number of divisors d(n): 800
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 37 40 44 48 50 55 60 64 66 74 75 80 88 96 100 110 111 120 125 128 132 148 150 160 165 176 185 192 200 220 222 240 250 256 264 275 296 300 320 330 347 352 370 375 384 400 407 440 444 480 500 512 528 550 555 592 600 625 640 660 694 704 740 750 768 800 814 825 880 888 925 960 1000 1041 1056 1100 1110 1184 1200 1221 1250 1280 1320 1375 1388 1408 1480 1500 1536 1600 1628 1650 1735 1760 1776 1850 1875 1920 2000 2035 2082 2112 2200 2220 2368 2400 2442 2500 2560 2640 2750 2775 2776 2816 2960 3000 3200 3256 3300 3470 3520 3552 3700 3750 3817 3840 4000 4070 4125 4164 4224 4400 4440 4625 4736 4800 4884 5000 5205 5280 5500 5550 5552 5632 5920 6000 6105 6400 6512 6600 6875 6940 7040 7104 7400 7500 7634 7680 8000 8140 8250 8328 8448 8675 8800 8880 9250 9472 9600 9768 10000 10175 10410 10560 11000 11100 11104 11451 11840 12000 12210 12800 12839 13024 13200 13750 13875 13880 14080 14208 14800 15000 15268 16000 16280 16500 16656 16896 17350 17600 17760 18500 18944 19085 19200 19536 20000 20350 20625 20820 21120 22000 22200 22208 22902 23125 23680 24000 24420 25678 26025 26048 26400 27500 27750 27760 28160 28416 29600 30000 30525 30536 32000 32560 33000 33312 34700 35200 35520 37000 38170 38400 38517 39072 40000 40700 41250 41640 42240 43375 44000 44400 44416 45804 46250 47360 48000 48840 50875 51356 52050 52096 52800 55000 55500 55520 56832 57255 59200 60000 61050 61072 64000 64195 65120 66000 66624 69375 69400 70400 71040 74000 76340 77034 78144 80000 81400 82500 83280 84480 86750 88000 88800 88832 91608 92500 94720 95425 96000 97680 101750 102712 104100 104192 105600 110000 111000 111040 114510 118400 120000 122100 122144 128390 130125 130240 132000 133248 138750 138800 140800 141229 142080 148000 152625 152680 154068 156288 160000 162800 165000 166560 173500 176000 177600 177664 183216 185000 190850 192000 192585 195360 203500 205424 208200 208384 211200 216875 220000 222000 222080 229020 236800 240000 244200 244288 254375 256780 260250 260480 264000 266496 277500 277600 282458 284160 286275 296000 305250 305360 308136 312576 320000 320975 325600 330000 333120 347000 352000 355200 366432 370000 381700 385170 390720 407000 410848 416400 422400 423687 433750 440000 444000 444160 458040 473600 477125 480000 488400 488576 508750 513560 520500 520960 528000 532992 555000 555200 564916 572550 592000 610500 610720 616272 625152 641950 650625 651200 660000 666240 694000 704000 706145 710400 732864 740000 763125 763400 770340 781440 814000 821696 832800 847374 867500 880000 888000 888320 916080 954250 960000 962925 976800 977152 1017500 1027120 1041000 1041920 1056000 1110000 1110400 1129832 1145100 1184000 1221000 1221440 1232544 1283900 1301250 1302400 1320000 1332480 1388000 1412290 1420800 1431375 1465728 1480000 1526250 1526800 1540680 1562880 1604875 1628000 1643392 1665600 1694748 1735000 1760000 1776000 1832160 1908500 1925850 1953600 1954304 2035000 2054240 2082000 2112000 2118435 2220000 2220800 2259664 2290200 2368000 2385625 2442000 2442880 2465088 2567800 2602500 2604800 2640000 2664960 2776000 2824580 2862750 2931456 2960000 3052500 3053600 3081360 3125760 3209750 3256000 3286784 3331200 3389496 3470000 3520000 3530725 3552000 3664320 3817000 3851700 3907200 4070000 4108480 4164000 4236870 4440000 4441600 4519328 4580400 4771250 4814625 4884000 4885760 4930176 5135600 5205000 5209600 5280000 5552000 5649160 5725500 5862912 5920000 6105000 6107200 6162720 6419500 6512000 6573568 6662400 6778992 6940000 7061450 7104000 7156875 7328640 7634000 7703400 7814400 8024375 8140000 8216960 8328000 8473740 8880000 9038656 9160800 9542500 9629250 9768000 9771520 9860352 10271200 10410000 10560000 10592175 11104000 11298320 11451000 11840000 12210000 12214400 12325440 12839000 13024000 13324800 13557984 13880000 14122900 14313750 14657280 15268000 15406800 15628800 16048750 16280000 16433920 16656000 16947480 17653625 17760000 18077312 18321600 19085000 19258500 19536000 19720704 20542400 20820000 21184350 22208000 22596640 22902000 24073125 24420000 24428800 24650880 25678000 26048000 27115968 27760000 28245800 28627500 29314560 30536000 30813600 32097500 32560000 32867840 33312000 33894960 35307250 35520000 36154624 36643200 38170000 38517000 39072000 41084800 41640000 42368700 45193280 45804000 48146250 48840000 48857600 49301760 51356000 52960875 54231936 55520000 56491600 57255000 61072000 61627200 64195000 65120000 66624000 67789920 70614500 72309248 73286400 76340000 77034000 78144000 82169600 83280000 84737400 88268125 90386560 91608000 96292500 97680000 98603520 102712000 105921750 108463872 111040000 112983200 114510000 122144000 123254400 128390000 130240000 135579840 141229000 146572800 152680000 154068000 164339200 166560000 169474800 176536250 180773120 183216000 192585000 195360000 205424000 211843500 216927744 225966400 229020000 244288000 246508800 256780000 264804375 271159680 282458000 305360000 308136000 333120000 338949600 353072500 361546240 366432000 385170000 390720000 410848000 423687000 451932800 458040000 493017600 513560000 529608750 542319360 564916000 610720000 616272000 677899200 706145000 732864000 770340000 821696000 847374000 903865600 916080000 1027120000 1059217500 1084638720 1129832000 1221440000 1232544000 1355798400 1412290000 1540680000 1694748000 1807731200 1832160000 2054240000 2118435000 2259664000 2465088000 2711596800 2824580000 3081360000 3389496000 3664320000 4108480000 4236870000 4519328000 5423193600 5649160000 6162720000 6778992000 8473740000 9038656000 11298320000 12325440000 13557984000 16947480000 22596640000 27115968000 33894960000 45193280000 67789920000 135579840000
- Sum of all divisors σ(n): 507143362176
- Sum of proper divisors (its aliquot sum) s(n): 371563522176
- 135579840000 is an abundant number, because the sum of its proper divisors (371563522176) is greater than itself. Its abundance is 235983682176
Bases of 135579840000
- Binary: 11111100100010011000000101110000000002
- Hexadecimal: 0x1F91302E00
- Base-36: 1QA8QI2O
Squares and roots of 135579840000
- 135579840000 squared (1355798400002) is 18381893014425600000000
- 135579840000 cubed (1355798400003) is 2492214113792940539904000000000000
-
The
square root of 135579840000 is 368211.6782504325 -
The
cube root of 135579840000 is 5137.2618865375
Scales and comparisons
How big is 135579840000?- 135,579,840,000 seconds is equal to 4,311 years, 1 week, 2 hours, 40 minutes.
-
To count from 1 to 135,579,840,000 would take you about eight thousand, six hundred twenty-two 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 135579840000 cubic inches would be around 428.1 feet tall.
Recreational maths with 135579840000
- 135579840000 backwards is 000048975531
- The number of decimal digits it has is: 12
- The sum of 135579840000's digits is 42
- More coming soon!
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The information we have on file for 135579840000 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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