137931364826640000
137,931,364,826,640,000 is an even composite number composed of seven prime numbers multiplied together.
137931364826640000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 137931364826640000:
27 × 32 × 54 × 7 × 11 × 3121 × 797161
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 11 × 3121 × 797161)See below for interesting mathematical facts about the number 137931364826640000 from the Numbermatics database.
Names of 137931364826640000
- Cardinal: 137931364826640000 can be written as One hundred thirty-seven quadrillion, nine hundred thirty-one trillion, three hundred sixty-four billion, eight hundred twenty-six million, six hundred forty thousand.
Scientific notation
- Scientific notation: 1.3793136482664 × 1017
Factors of 137931364826640000
Divisors of 137931364826640000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 32 33 35 36 40 42 44 45 48 50 55 56 60 63 64 66 70 72 75 77 80 84 88 90 96 99 100 105 110 112 120 125 126 128 132 140 144 150 154 160 165 168 175 176 180 192 198 200 210 220 224 225 231 240 250 252 264 275 280 288 300 308 315 320 330 336 350 352 360 375 384 385 396 400 420 440 448 450 462 480 495 500 504 525 528 550 560 576 600 616 625 630 640 660 672 693 700 704 720 750 770 792 800 825 840 875 880 896 900 924 960 990 1000 1008 1050 1056 1100 1120 1125 1152 1155 1200 1232 1250 1260 1320 1344 1375 1386 1400 1408 1440 1500 1540 1575 1584 1600 1650 1680 1750 1760 1800 1848 1875 1920 1925 1980 2000 2016 2100 2112 2200 2240 2250 2310 2400 2464 2475 2500 2520 2625 2640 2688 2750 2772 2800 2880 3000 3080 3121 3150 3168 3200 3300 3360 3465 3500 3520 3600 3696 3750 3850 3960 4000 4032 4125 4200 4224 4375 4400 4480 4500 4620 4800 4928 4950 5000 5040 5250 5280 5500 5544 5600 5625 5760 5775 6000 6160 6242 6300 6336 6600 6720 6875 6930 7000 7040 7200 7392 7500 7700 7875 7920 8000 8064 8250 8400 8750 8800 9000 9240 9363 9600 9625 9856 9900 10000 10080 10500 10560 11000 11088 11200 11250 11550 12000 12320 12375 12484 12600 12672 13125 13200 13440 13750 13860 14000 14400 14784 15000 15400 15605 15750 15840 16000 16500 16800 17325 17500 17600 18000 18480 18726 19250 19800 20000 20160 20625 21000 21120 21847 22000 22176 22400 22500 23100 24000 24640 24750 24968 25200 26250 26400 27500 27720 28000 28089 28800 28875 29568 30000 30800 31210 31500 31680 33000 33600 34331 34650 35000 35200 36000 36960 37452 38500 39375 39600 40000 40320 41250 42000 43694 44000 44352 45000 46200 46815 48000 48125 49280 49500 49936 50400 52500 52800 55000 55440 56000 56178 57750 60000 61600 61875 62420 63000 63360 65541 66000 67200 68662 69300 70000 72000 73920 74904 77000 78025 78750 79200 80000 82500 84000 86625 87388 88000 88704 90000 92400 93630 96250 99000 99872 100800 102993 105000 105600 109235 110000 110880 112000 112356 115500 120000 123200 123750 124840 126000 131082 132000 137324 138600 140000 140445 144000 144375 147840 149808 154000 156050 157500 158400 165000 168000 171655 173250 174776 176000 180000 184800 187260 192500 196623 198000 199744 201600 205986 210000 218470 220000 221760 224712 231000 234075 240000 240317 246400 247500 249680 252000 262164 264000 274648 277200 280000 280890 288750 299616 308000 308979 312100 315000 316800 327705 330000 336000 343310 346500 349552 360000 369600 374520 385000 390125 393246 396000 399488 411972 420000 433125 436940 440000 443520 449424 462000 468150 480634 495000 499360 504000 514965 524328 528000 546175 549296 554400 560000 561780 577500 599232 616000 617958 624200 630000 655410 660000 686620 693000 699104 702225 720000 720951 739200 749040 770000 780250 786492 792000 797161 823944 840000 858275 866250 873880 880000 898848 924000 936300 961268 983115 990000 998720 1008000 1029930 1048656 1092350 1098592 1108800 1123560 1155000 1170375 1198464 1201585 1232000 1235916 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4597712160888000 4926120172380000 5517254593065600 5747140201110000 6269607492120000 6568160229840000 6896568241332000 7662853601480000 8620710301665000 9195424321776000 9852240344760000 11494280402220000 12539214984240000 13793136482664000 15325707202960000 17241420603330000 19704480689520000 22988560804440000 27586272965328000 34482841206660000 45977121608880000 68965682413320000 137931364826640000
- Sum of all divisors σ(n): 618564919688876160
- Sum of proper divisors (its aliquot sum) s(n): 480633554862236160
- 137931364826640000 is an abundant number, because the sum of its proper divisors (480633554862236160) is greater than itself. Its abundance is 342702190035596160
Bases of 137931364826640000
- Binary: 1111010100000011111011000011100111110000001101110100000002
- Hexadecimal: 0x1EA07D873E06E80
- Base-36: 11Q4L68NH5S0
Squares and roots of 137931364826640000
- 137931364826640000 squared (1379313648266400002) is 19025061402939662157253689600000000
- 137931364826640000 cubed (1379313648266400003) is 2624152685218097969175226226232804370944000000000000
-
The
square root of 137931364826640000 is 371391121.0928985039 -
The
cube root of 137931364826640000 is 516679.2389272445
Scales and comparisons
How big is 137931364826640000?- 137,931,364,826,640,000 seconds is equal to 4,385,790,751 years, 39 weeks, 4 days, 16 hours.
-
To count from 1 to 137,931,364,826,640,000 would take you about thirteen billion, one hundred fifty-seven million, three hundred seventy-two thousand, two hundred fifty-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 137931364826640000 cubic inches would be around 43056.6 feet tall.
Recreational maths with 137931364826640000
- 137931364826640000 backwards is 000046628463139731
- 137931364826640000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137931364826640000's digits is 63
- More coming soon!
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The information we have on file for 137931364826640000 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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