126636816996800000
126,636,816,996,800,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 126636816996800000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
126636816996800000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 126636816996800000:
29 × 55 × 11 × 31 × 53 × 71 × 61681
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 11 × 31 × 53 × 71 × 61681)See below for interesting mathematical facts about the number 126636816996800000 from the Numbermatics database.
Names of 126636816996800000
- Cardinal: 126636816996800000 can be written as One hundred twenty-six quadrillion, six hundred thirty-six trillion, eight hundred sixteen billion, nine hundred ninety-six million, eight hundred thousand.
Scientific notation
- Scientific notation: 1.266368169968 × 1017
Factors of 126636816996800000
Divisors of 126636816996800000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 32 40 44 50 53 55 62 64 71 80 88 100 106 110 124 125 128 142 155 160 176 200 212 220 248 250 256 265 275 284 310 320 341 352 355 400 424 440 496 500 512 530 550 568 583 620 625 640 682 704 710 775 781 800 848 880 992 1000 1060 1100 1136 1166 1240 1250 1280 1325 1364 1375 1408 1420 1550 1562 1600 1643 1696 1705 1760 1775 1984 2000 2120 2200 2201 2272 2332 2480 2500 2560 2650 2728 2750 2816 2840 2915 3100 3124 3125 3200 3286 3392 3410 3520 3550 3763 3875 3905 3968 4000 4240 4400 4402 4544 4664 4960 5000 5300 5456 5500 5632 5680 5830 6200 6248 6250 6400 6572 6625 6784 6820 6875 7040 7100 7526 7750 7810 7936 8000 8215 8480 8525 8800 8804 8875 9088 9328 9920 10000 10600 10912 11000 11005 11360 11660 12400 12496 12500 12800 13144 13250 13568 13640 13750 14080 14200 14575 15052 15500 15620 15872 16000 16430 16960 17050 17600 17608 17750 18073 18176 18656 18815 19375 19525 19840 20000 21200 21824 22000 22010 22720 23320 24211 24800 24992 25000 26288 26500 27136 27280 27500 28160 28400 29150 30104 31000 31240 32000 32860 33125 33920 34100 34375 35200 35216 35500 36146 36352 37312 37630 38750 39050 39680 40000 41075 41393 42400 42625 43648 44000 44020 44375 45440 46640 48422 49600 49984 50000 52576 53000 54560 55000 55025 56800 58300 60208 61681 62000 62480 64000 65720 66250 67840 68200 68750 70400 70432 71000 72292 72875 74624 75260 77500 78100 79360 80000 82150 82786 84800 85250 87296 88000 88040 88750 90365 90880 93280 94075 96844 96875 97625 99200 99968 100000 105152 106000 109120 110000 110050 113600 116600 116653 120416 121055 123362 124000 124960 131440 132500 135680 136400 137500 140800 140864 142000 144584 145750 149248 150520 155000 156200 160000 164300 165572 165625 169600 170500 174592 176000 176080 177500 180730 181760 186560 188150 193688 193750 195250 198400 199936 200000 205375 206965 210304 212000 213125 218240 220000 220100 221875 227200 233200 233306 240832 242110 246724 248000 249920 262880 265000 272800 275000 275125 281728 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2042529306400000 2302487581760000 2389373905600000 2532736339936000 2878109477200000 3165920424920000 3957400531150000 4085058612800000 5065472679872000 5756218954400000 6331840849840000 7914801062300000 11512437908800000 12663681699680000 15829602124600000 25327363399360000 31659204249200000 63318408498400000 126636816996800000
- Sum of all divisors σ(n): 367979648547151872
- Sum of proper divisors (its aliquot sum) s(n): 241342831550351872
- 126636816996800000 is an abundant number, because the sum of its proper divisors (241342831550351872) is greater than itself. Its abundance is 114706014553551872
Bases of 126636816996800000
- Binary: 1110000011110011110000011100111001001010010010110000000002
- Hexadecimal: 0x1C1E7839C949600
- Base-36: YMX06LI68E8
Squares and roots of 126636816996800000
- 126636816996800000 squared (1266368169968000002) is 16036883419081013371210240000000000
- 126636816996800000 cubed (1266368169968000003) is 2030859870741178571523444988618207232000000000000000
-
The
square root of 126636816996800000 is 355860670.7642753825 -
The
cube root of 126636816996800000 is 502172.9654245779
Scales and comparisons
How big is 126636816996800000?- 126,636,816,996,800,000 seconds is equal to 4,026,659,067 years, 5 weeks, 2 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 126,636,816,996,800,000 would take you about twelve billion, seventy-nine million, nine hundred seventy-seven thousand, two hundred one 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 126636816996800000 cubic inches would be around 41847.7 feet tall.
Recreational maths with 126636816996800000
- 126636816996800000 backwards is 000008699618636621
- 126636816996800000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 126636816996800000's digits is 71
- More coming soon!
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