137942978342400000
137,942,978,342,400,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137942978342400000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 12636 divisors.
137942978342400000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of twelve thousand, six hundred thirty-six divisors.
Prime factorization of 137942978342400000:
212 × 32 × 55 × 7 × 112 × 292 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 11 × 11 × 29 × 29 × 41 × 41)See below for interesting mathematical facts about the number 137942978342400000 from the Numbermatics database.
Names of 137942978342400000
- Cardinal: 137942978342400000 can be written as One hundred thirty-seven quadrillion, nine hundred forty-two trillion, nine hundred seventy-eight billion, three hundred forty-two million, four hundred thousand.
Scientific notation
- Scientific notation: 1.379429783424 × 1017
Factors of 137942978342400000
Divisors of 137942978342400000
- Number of divisors d(n): 12636
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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 29 30 32 33 35 36 40 41 42 44 45 48 50 55 56 58 60 63 64 66 70 72 75 77 80 82 84 87 88 90 96 99 100 105 110 112 116 120 121 123 125 126 128 132 140 144 145 150 154 160 164 165 168 174 175 176 180 192 198 200 203 205 210 220 224 225 231 232 240 242 246 250 252 256 261 264 275 280 287 288 290 300 308 315 319 320 328 330 336 348 350 352 360 363 369 375 384 385 396 400 406 410 420 435 440 448 450 451 462 464 480 484 492 495 500 504 512 522 525 528 550 560 574 576 580 600 605 609 615 616 625 630 638 640 656 660 672 693 696 700 704 720 725 726 738 750 768 770 792 800 812 820 825 840 841 847 861 870 875 880 896 900 902 924 928 957 960 968 984 990 1000 1008 1015 1024 1025 1044 1050 1056 1089 1100 1120 1125 1148 1152 1155 1160 1189 1200 1210 1218 1230 1232 1250 1260 1276 1280 1305 1312 1320 1344 1353 1375 1386 1392 1400 1408 1435 1440 1450 1452 1476 1500 1536 1540 1575 1584 1595 1600 1624 1640 1650 1680 1681 1682 1694 1722 1740 1750 1760 1792 1800 1804 1815 1827 1845 1848 1856 1875 1914 1920 1925 1936 1968 1980 2000 2016 2030 2048 2050 2088 2100 2112 2175 2178 2200 2233 2240 2250 2255 2296 2304 2310 2320 2378 2400 2420 2436 2460 2464 2475 2500 2520 2523 2541 2552 2560 2583 2610 2624 2625 2640 2688 2706 2750 2772 2784 2800 2816 2870 2871 2880 2900 2904 2952 3000 3025 3045 3072 3075 3080 3125 3150 3157 3168 3190 3200 3248 3280 3300 3360 3362 3364 3388 3444 3465 3480 3500 3509 3520 3567 3584 3600 3608 3625 3630 3654 3690 3696 3712 3750 3828 3840 3850 3872 3936 3960 4000 4032 4059 4060 4096 4100 4125 4176 4200 4205 4224 4235 4305 4350 4356 4375 4400 4466 4480 4500 4510 4592 4608 4620 4640 4756 4785 4800 4840 4872 4920 4928 4950 4961 5000 5040 5043 5046 5075 5082 5104 5120 5125 5166 5220 5248 5250 5280 5376 5412 5445 5500 5544 5568 5600 5625 5632 5740 5742 5760 5775 5800 5808 5887 5904 5945 6000 6050 6090 6144 6150 6160 6250 6300 6314 6336 6380 6400 6496 6525 6560 6600 6699 6720 6724 6728 6765 6776 6875 6888 6930 6960 7000 7018 7040 7134 7168 7175 7200 7216 7250 7260 7308 7380 7392 7424 7500 7569 7623 7656 7680 7700 7744 7872 7875 7920 7975 8000 8064 8118 8120 8200 8250 8323 8352 8400 8405 8410 8448 8470 8610 8700 8712 8750 8800 8932 8960 9000 9020 9075 9135 9184 9216 9225 9240 9251 9280 9375 9471 9512 9570 9600 9625 9680 9744 9840 9856 9900 9922 10000 10080 10086 10092 10150 10164 10208 10240 10250 10332 10440 10496 10500 10527 10560 10701 10752 10824 10875 10890 11000 11088 11136 11165 11200 11250 11264 11275 11480 11484 11520 11550 11600 11616 11767 11774 11808 11890 12000 12100 12180 12288 12300 12320 12375 12500 12600 12615 12628 12672 12705 12760 12800 12915 12992 13050 13079 13120 13125 13200 13398 13440 13448 13456 13530 13552 13750 13776 13860 13920 14000 14036 14080 14268 14336 14350 14355 14400 14432 14500 14520 14616 14760 14784 14848 14883 15000 15125 15129 15138 15225 15246 15312 15360 15375 15400 15488 15744 15750 15785 15840 15950 16000 16128 16236 16240 16400 16500 16646 16704 16800 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3941227952640000 4180090252800000 4310718073200000 4598099278080000 4756654425600000 4926534940800000 5517719133696000 5747624097600000 6270135379200000 6568713254400000 6897148917120000 7663498796800000 8621436146400000 9196198556160000 9853069881600000 11495248195200000 12540270758400000 13794297834240000 15326997593600000 17242872292800000 19706139763200000 22990496390400000 27588595668480000 34485744585600000 45980992780800000 68971489171200000 137942978342400000
- Sum of all divisors σ(n): 664136849433251376
- Sum of proper divisors (its aliquot sum) s(n): 526193871090851376
- 137942978342400000 is an abundant number, because the sum of its proper divisors (526193871090851376) is greater than itself. Its abundance is 388250892748451376
Bases of 137942978342400000
- Binary: 1111010100001001001101000011011110101101110110000000000002
- Hexadecimal: 0x1EA12686F5BB000
- Base-36: 11Q8PDEYWOW0
Squares and roots of 137942978342400000
- 137942978342400000 squared (1379429783424000002) is 19028265273971835451637760000000000
- 137942978342400000 cubed (1379429783424000003) is 2624815584580938900132844050290049024000000000000000
-
The
square root of 137942978342400000 is 371406755.9191674155 -
The
cube root of 137942978342400000 is 516693.7396032171
Scales and comparisons
How big is 137942978342400000?- 137,942,978,342,400,000 seconds is equal to 4,386,160,025 years, 33 weeks, 2 days, 8 hours.
-
To count from 1 to 137,942,978,342,400,000 would take you about thirteen billion, one hundred fifty-eight million, four hundred eighty thousand and seventy-six 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 137942978342400000 cubic inches would be around 43057.8 feet tall.
Recreational maths with 137942978342400000
- 137942978342400000 backwards is 000004243879249731
- 137942978342400000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137942978342400000's digits is 63
- More coming soon!
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Numbermatics. (2024). Number 137942978342400000 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/137942978342400000/
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The information we have on file for 137942978342400000 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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