137516359680000
137,516,359,680,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 137516359680000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3060 divisors.
137516359680000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand and sixty divisors.
Prime factorization of 137516359680000:
216 × 32 × 54 × 72 × 23 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 23 × 331)See below for interesting mathematical facts about the number 137516359680000 from the Numbermatics database.
Names of 137516359680000
- Cardinal: 137516359680000 can be written as One hundred thirty-seven trillion, five hundred sixteen billion, three hundred fifty-nine million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3751635968 × 1014
Factors of 137516359680000
Divisors of 137516359680000
- Number of divisors d(n): 3060
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 25 28 30 32 35 36 40 42 45 46 48 49 50 56 60 63 64 69 70 72 75 80 84 90 92 96 98 100 105 112 115 120 125 126 128 138 140 144 147 150 160 161 168 175 180 184 192 196 200 207 210 224 225 230 240 245 250 252 256 276 280 288 294 300 315 320 322 331 336 345 350 360 368 375 384 392 400 414 420 441 448 450 460 480 483 490 500 504 512 525 552 560 575 576 588 600 625 630 640 644 662 672 690 700 720 735 736 750 768 784 800 805 828 840 875 882 896 900 920 960 966 980 993 1000 1008 1024 1035 1050 1104 1120 1125 1127 1150 1152 1176 1200 1225 1250 1260 1280 1288 1324 1344 1380 1400 1440 1449 1470 1472 1500 1536 1568 1575 1600 1610 1655 1656 1680 1725 1750 1764 1792 1800 1840 1875 1920 1932 1960 1986 2000 2016 2048 2070 2100 2205 2208 2240 2250 2254 2300 2304 2317 2352 2400 2415 2450 2500 2520 2560 2576 2625 2648 2688 2760 2800 2875 2880 2898 2940 2944 2979 3000 3072 3136 3150 3200 3220 3310 3312 3360 3381 3450 3500 3528 3584 3600 3675 3680 3750 3840 3864 3920 3972 4000 4025 4032 4096 4140 4200 4375 4410 4416 4480 4500 4508 4600 4608 4634 4704 4800 4830 4900 4965 5000 5040 5120 5152 5175 5250 5296 5376 5520 5600 5625 5635 5750 5760 5796 5880 5888 5958 6000 6125 6144 6272 6300 6400 6440 6620 6624 6720 6762 6900 6951 7000 7056 7168 7200 7245 7350 7360 7500 7613 7680 7728 7840 7875 7944 8000 8050 8064 8192 8275 8280 8400 8625 8750 8820 8832 8960 9000 9016 9200 9216 9268 9408 9600 9660 9800 9930 10000 10080 10143 10240 10304 10350 10500 10592 10752 11025 11040 11200 11250 11270 11500 11520 11585 11592 11760 11776 11916 12000 12075 12250 12288 12544 12600 12800 12880 13125 13240 13248 13440 13524 13800 13902 14000 14112 14336 14375 14400 14490 14700 14720 14895 15000 15226 15360 15456 15680 15750 15888 16000 16100 16128 16219 16384 16550 16560 16800 16905 17250 17500 17640 17664 17920 18000 18032 18375 18400 18432 18536 18816 19200 19320 19600 19860 20000 20125 20160 20286 20480 20608 20700 20853 21000 21184 21504 22050 22080 22400 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5978972160000 6548398080000 6875817984000 7639797760000 8594772480000 9167757312000 9822597120000 11459696640000 13751635968000 15279595520000 17189544960000 19645194240000 22919393280000 27503271936000 34379089920000 45838786560000 68758179840000 137516359680000
- Sum of all divisors σ(n): 604401008241888
- Sum of proper divisors (its aliquot sum) s(n): 466884648561888
- 137516359680000 is an abundant number, because the sum of its proper divisors (466884648561888) is greater than itself. Its abundance is 329368288881888
Bases of 137516359680000
- Binary: 111110100010010000001011100010100000000000000002
- Hexadecimal: 0x7D1205C50000
- Base-36: 1CQU55ZI80
Squares and roots of 137516359680000
- 137516359680000 squared (1375163596800002) is 18910749179639129702400000000
- 137516359680000 cubed (1375163596800003) is 2600537386005519492757409759232000000000000
-
The
square root of 137516359680000 is 11726736.9579094763 -
The
cube root of 137516359680000 is 51616.0526943499
Scales and comparisons
How big is 137516359680000?- 137,516,359,680,000 seconds is equal to 4,372,594 years, 45 weeks, 2 days, 8 hours.
-
To count from 1 to 137,516,359,680,000 would take you about ten million, nine hundred thirty-one thousand, four hundred eighty-seven 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 137516359680000 cubic inches would be around 4301.3 feet tall.
Recreational maths with 137516359680000
- 137516359680000 backwards is 000086953615731
- The number of decimal digits it has is: 15
- The sum of 137516359680000's digits is 54
- More coming soon!
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The information we have on file for 137516359680000 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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