137968973390080800000000
137,968,973,390,080,800,000,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137968973390080800000000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 24948 divisors.
137968973390080800000000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of twenty-four thousand, nine hundred forty-eight divisors.
Prime factorization of 137968973390080800000000:
211 × 310 × 58 × 112 × 176
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 17 × 17 × 17 × 17 × 17 × 17)See below for interesting mathematical facts about the number 137968973390080800000000 from the Numbermatics database.
Names of 137968973390080800000000
- Cardinal: 137968973390080800000000 can be written as One hundred thirty-seven sextillion, nine hundred sixty-eight quintillion, nine hundred seventy-three quadrillion, three hundred ninety trillion, eighty billion, eight hundred million.
Scientific notation
- Scientific notation: 1.379689733900808 × 1023
Factors of 137968973390080800000000
Divisors of 137968973390080800000000
- Number of divisors d(n): 24948
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 27 30 32 33 34 36 40 44 45 48 50 51 54 55 60 64 66 68 72 75 80 81 85 88 90 96 99 100 102 108 110 120 121 125 128 132 135 136 144 150 153 160 162 165 170 176 180 187 192 198 200 204 216 220 225 240 242 243 250 255 256 264 270 272 275 288 289 297 300 306 320 324 330 340 352 360 363 374 375 384 396 400 405 408 425 432 440 450 459 480 484 486 495 500 510 512 528 540 544 550 561 576 578 594 600 605 612 625 640 648 660 675 680 704 720 726 729 748 750 765 768 792 800 810 816 825 850 864 867 880 891 900 918 935 960 968 972 990 1000 1020 1024 1056 1080 1088 1089 1100 1122 1125 1152 1156 1188 1200 1210 1215 1224 1250 1275 1280 1296 1320 1350 1360 1375 1377 1408 1440 1445 1452 1458 1485 1496 1500 1530 1536 1584 1600 1620 1632 1650 1683 1700 1728 1734 1760 1782 1800 1815 1836 1870 1875 1920 1936 1944 1980 2000 2025 2040 2048 2057 2112 2125 2160 2176 2178 2187 2200 2244 2250 2295 2304 2312 2376 2400 2420 2430 2448 2475 2500 2550 2560 2592 2601 2640 2673 2700 2720 2750 2754 2805 2816 2880 2890 2904 2916 2970 2992 3000 3025 3060 3072 3125 3168 3179 3200 3240 3264 3267 3300 3366 3375 3400 3456 3468 3520 3564 3600 3630 3645 3672 3740 3750 3825 3840 3872 3888 3960 4000 4050 4080 4114 4125 4131 4224 4250 4320 4335 4352 4356 4374 4400 4455 4488 4500 4590 4608 4624 4675 4752 4800 4840 4860 4896 4913 4950 5000 5049 5100 5120 5184 5202 5280 5346 5400 5440 5445 5500 5508 5610 5625 5632 5760 5780 5808 5832 5940 5984 6000 6050 6075 6120 6144 6171 6250 6336 6358 6375 6400 6480 6528 6534 6561 6600 6732 6750 6800 6875 6885 6912 6936 7040 7128 7200 7225 7260 7290 7344 7425 7480 7500 7650 7680 7744 7776 7803 7920 8000 8019 8100 8160 8228 8250 8262 8415 8448 8500 8640 8670 8704 8712 8748 8800 8910 8976 9000 9075 9180 9216 9248 9350 9375 9504 9537 9600 9680 9720 9792 9801 9826 9900 10000 10098 10125 10200 10240 10285 10368 10404 10560 10625 10692 10800 10880 10890 10935 11000 11016 11220 11250 11264 11475 11520 11560 11616 11664 11880 11968 12000 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- Sum of all divisors σ(n): 604086587157683717217585
- Sum of proper divisors (its aliquot sum) s(n): 466117613767602917217585
- 137968973390080800000000 is an abundant number, because the sum of its proper divisors (466117613767602917217585) is greater than itself. Its abundance is 328148640377522117217585
Bases of 137968973390080800000000
- Binary: 111010011011101010000001000110000001101010100000111111011100100001000000000002
- Hexadecimal: 0x1D37502303541FB90800
- Base-36: MGTBKTJI4200000
Squares and roots of 137968973390080800000000
- 137968973390080800000000 squared (1379689733900808000000002) is 19035437618312823878199830528640000000000000000
- 137968973390080800000000 cubed (1379689733900808000000003) is 2626299786229545037706668695477800339196314112000000000000000000000000
-
The
square root of 137968973390080800000000 is 371441749659.4597940109 -
The
cube root of 137968973390080800000000 is 51672619.4160252977 - Being both a perfect square and a perfect cube, 137968973390080800000000 is also a
perfect sixth number .
Scales and comparisons
How big is 137968973390080800000000?- 137,968,973,390,080,800,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,968,973,390,080,800,000,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137968973390080800000000 cubic inches would be around 4306051.6 feet tall.
Recreational maths with 137968973390080800000000
- 137968973390080800000000 backwards is 000000008080093379869731
- 137968973390080800000000 is a
Harshad number . - The number of decimal digits it has is: 24
- The sum of 137968973390080800000000's digits is 81
- More coming soon!
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The information we have on file for 137968973390080800000000 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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