137968585040000
137,968,585,040,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 137968585040000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2400 divisors.
137968585040000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 137968585040000:
27 × 54 × 114 × 132 × 17 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 13 × 13 × 17 × 41)See below for interesting mathematical facts about the number 137968585040000 from the Numbermatics database.
Names of 137968585040000
- Cardinal: 137968585040000 can be written as One hundred thirty-seven trillion, nine hundred sixty-eight billion, five hundred eighty-five million, forty thousand.
Scientific notation
- Scientific notation: 1.3796858504 × 1014
Factors of 137968585040000
Divisors of 137968585040000
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 17 20 22 25 26 32 34 40 41 44 50 52 55 64 65 68 80 82 85 88 100 104 110 121 125 128 130 136 143 160 164 169 170 176 187 200 205 208 220 221 242 250 260 272 275 286 320 325 328 338 340 352 374 400 410 416 425 440 442 451 484 500 520 533 544 550 572 605 625 640 650 656 676 680 697 704 715 748 800 820 832 845 850 880 884 902 935 968 1000 1025 1040 1066 1088 1100 1105 1144 1210 1250 1300 1312 1331 1352 1360 1375 1394 1408 1430 1496 1573 1600 1625 1640 1664 1690 1700 1760 1768 1804 1859 1870 1936 2000 2050 2057 2080 2125 2132 2176 2200 2210 2255 2288 2420 2431 2500 2600 2624 2662 2665 2704 2720 2750 2788 2860 2873 2992 3025 3146 3200 3250 3280 3380 3400 3485 3520 3536 3575 3608 3718 3740 3872 4000 4100 4114 4160 4225 4250 4264 4400 4420 4510 4576 4675 4840 4862 4961 5000 5125 5200 5248 5324 5330 5408 5440 5500 5525 5576 5720 5746 5863 5984 6050 6292 6500 6560 6655 6760 6800 6875 6929 6970 7040 7072 7150 7216 7436 7480 7667 7744 7865 8000 8125 8200 8228 8320 8450 8500 8528 8800 8840 9020 9061 9152 9295 9350 9680 9724 9922 10000 10250 10285 10400 10625 10648 10660 10816 10880 11000 11050 11152 11275 11440 11492 11726 11968 12100 12155 12584 13000 13120 13310 13325 13520 13600 13750 13858 13940 14144 14300 14365 14432 14641 14872 14960 15125 15334 15488 15730 16000 16250 16400 16456 16900 17000 17056 17303 17425 17600 17680 17875 18040 18122 18304 18590 18700 19360 19448 19844 20000 20449 20500 20570 20800 21125 21250 21296 21320 21632 22000 22100 22304 22550 22627 22880 22984 23375 23452 23936 24200 24310 24805 25168 25625 26000 26240 26620 26650 26741 27040 27200 27500 27625 27716 27880 28288 28600 28730 28864 29282 29315 29744 29920 30250 30668 31460 31603 32500 32800 32912 33275 33800 34000 34112 34606 34645 34850 35200 35360 35750 36080 36244 37180 37400 38335 38720 38896 39325 39688 40000 40898 41000 41140 41600 42250 42500 42592 42640 44000 44200 44608 45100 45254 45305 45760 45968 46475 46750 46904 48400 48620 49610 50336 51250 51425 52000 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783912415000 811579912000 816382160000 841271860000 862303656500 964815280000 1014474890000 1061296808000 1077879570625 1103748680320 1140236240000 1254259864000 1326621010000 1379685850400 1567824830000 1623159824000 1682543720000 1724607313000 2028949780000 2122593616000 2155759141250 2508519728000 2653242020000 2759371700800 3135649660000 3365087440000 3449214626000 4057899560000 4311518282500 5306484040000 5518743401600 6271299320000 6898429252000 8115799120000 8623036565000 10612968080000 12542598640000 13796858504000 17246073130000 27593717008000 34492146260000 68984292520000 137968585040000
- Sum of all divisors σ(n): 443736168113700
- Sum of proper divisors (its aliquot sum) s(n): 305767583073700
- 137968585040000 is an abundant number, because the sum of its proper divisors (305767583073700) is greater than itself. Its abundance is 167798998033700
Bases of 137968585040000
- Binary: 111110101111011010100001000000001100000100000002
- Hexadecimal: 0x7D7B50806080
- Base-36: 1CWLW5AF7K
Squares and roots of 137968585040000
- 137968585040000 squared (1379685850400002) is 19035330457939711801600000000
- 137968585040000 cubed (1379685850400003) is 2626277609050757270892141208064000000000000
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The
square root of 137968585040000 is 11746002.9388724401 -
The
cube root of 137968585040000 is 51672.5709339059
Scales and comparisons
How big is 137968585040000?- 137,968,585,040,000 seconds is equal to 4,386,974 years, 12 weeks, 3 days, 3 hours, 33 minutes, 20 seconds.
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To count from 1 to 137,968,585,040,000 would take you about ten million, nine hundred sixty-seven thousand, four hundred thirty-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 137968585040000 cubic inches would be around 4306 feet tall.
Recreational maths with 137968585040000
- 137968585040000 backwards is 000040585869731
- The number of decimal digits it has is: 15
- The sum of 137968585040000's digits is 56
- More coming soon!
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The information we have on file for 137968585040000 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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