137268446400000000
137,268,446,400,000,000 is an even composite number composed of six prime numbers multiplied together.
137268446400000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, two hundred twelve divisors.
Prime factorization of 137268446400000000:
212 × 32 × 58 × 31 × 61 × 712
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 31 × 61 × 71 × 71)See below for interesting mathematical facts about the number 137268446400000000 from the Numbermatics database.
Names of 137268446400000000
- Cardinal: 137268446400000000 can be written as One hundred thirty-seven quadrillion, two hundred sixty-eight trillion, four hundred forty-six billion, four hundred million.
Scientific notation
- Scientific notation: 1.372684464 × 1017
Factors of 137268446400000000
Divisors of 137268446400000000
- Number of divisors d(n): 4212
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 61 62 64 71 72 75 80 90 93 96 100 120 122 124 125 128 142 144 150 155 160 180 183 186 192 200 213 225 240 244 248 250 256 279 284 288 300 305 310 320 355 360 366 372 375 384 400 426 450 465 480 488 496 500 512 549 558 568 576 600 610 620 625 639 640 710 720 732 744 750 768 775 800 852 900 915 930 960 976 992 1000 1024 1065 1098 1116 1125 1136 1152 1200 1220 1240 1250 1278 1280 1395 1420 1440 1464 1488 1500 1525 1536 1550 1600 1704 1775 1800 1830 1860 1875 1891 1920 1952 1984 2000 2048 2130 2196 2201 2232 2250 2272 2304 2325 2400 2440 2480 2500 2556 2560 2745 2790 2840 2880 2928 2976 3000 3050 3072 3100 3125 3195 3200 3408 3550 3600 3660 3720 3750 3782 3840 3875 3904 3968 4000 4096 4260 4331 4392 4402 4464 4500 4544 4575 4608 4650 4800 4880 4960 5000 5041 5112 5120 5325 5490 5580 5625 5673 5680 5760 5856 5952 6000 6100 6144 6200 6250 6390 6400 6603 6816 6975 7100 7200 7320 7440 7500 7564 7625 7680 7750 7808 7936 8000 8520 8662 8784 8804 8875 8928 9000 9088 9150 9216 9300 9375 9455 9600 9760 9920 10000 10082 10224 10240 10650 10980 11005 11160 11250 11346 11360 11520 11625 11712 11904 12000 12200 12288 12400 12500 12780 12800 12993 13206 13632 13725 13950 14200 14400 14640 14880 15000 15123 15128 15250 15360 15500 15616 15625 15872 15975 16000 17019 17040 17324 17568 17608 17750 17856 18000 18176 18300 18432 18600 18750 18910 19200 19375 19520 19809 19840 20000 20164 20448 20480 21300 21655 21960 22010 22320 22500 22692 22720 22875 23040 23250 23424 23808 24000 24400 24800 25000 25205 25560 25600 25986 26412 26625 27264 27450 27900 28125 28365 28400 28800 29280 29760 30000 30246 30256 30500 30720 31000 31232 31250 31744 31950 32000 33015 34038 34080 34648 34875 35136 35216 35500 35712 36000 36352 36600 36864 37200 37500 37820 38125 38400 38750 38979 39040 39618 39680 40000 40328 40896 42600 43310 43920 44020 44375 44640 45000 45369 45384 45440 45750 46080 46500 46848 46875 47275 47616 48000 48800 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1906506200000000 1933358400000000 2144819475000000 2214007200000000 2250302400000000 2287807440000000 2745368928000000 2859759300000000 3050409920000000 3431711160000000 3813012400000000 4289638950000000 4428014400000000 4575614880000000 5490737856000000 5719518600000000 6863422320000000 7626024800000000 8579277900000000 9151229760000000 11439037200000000 13726844640000000 15252049600000000 17158555800000000 22878074400000000 27453689280000000 34317111600000000 45756148800000000 68634223200000000 137268446400000000
- Sum of all divisors σ(n): 527433322110250816
- Sum of proper divisors (its aliquot sum) s(n): 390164875710250816
- 137268446400000000 is an abundant number, because the sum of its proper divisors (390164875710250816) is greater than itself. Its abundance is 252896429310250816
Bases of 137268446400000000
- Binary: 1111001111010110011101100101110101000101010110000000000002
- Hexadecimal: 0x1E7ACECBA8AB000
- Base-36: 11JLLPPWAV40
Squares and roots of 137268446400000000
- 137268446400000000 squared (1372684464000000002) is 18842626377069672960000000000000000
- 137268446400000000 cubed (1372684464000000003) is 2586498048876014591775289344000000000000000000000000
-
The
square root of 137268446400000000 is 370497565.9839076459 -
The
cube root of 137268446400000000 is 515850.1638140205
Scales and comparisons
How big is 137268446400000000?- 137,268,446,400,000,000 seconds is equal to 4,364,711,996 years, 17 weeks, 3 days, 16 hours.
-
To count from 1 to 137,268,446,400,000,000 would take you about thirteen billion, ninety-four million, one hundred thirty-five thousand, nine hundred eighty-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 137268446400000000 cubic inches would be around 42987.5 feet tall.
Recreational maths with 137268446400000000
- 137268446400000000 backwards is 000000004644862731
- 137268446400000000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137268446400000000's digits is 45
- More coming soon!
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"Number 137268446400000000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 137268446400000000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/137268446400000000/
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The information we have on file for 137268446400000000 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!
Keywords: Divisors of 137268446400000000, math, Factors of 137268446400000000, curriculum, school, college, exams, university, Prime factorization of 137268446400000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, two hundred sixty-eight trillion, four hundred forty-six billion, four hundred million.