106378338009840000
106,378,338,009,840,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 106378338009840000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1920 divisors.
106378338009840000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 106378338009840000:
27 × 3 × 54 × 132 × 31 × 4393
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 13 × 13 × 31 × 439 × 439 × 439)See below for interesting mathematical facts about the number 106378338009840000 from the Numbermatics database.
Names of 106378338009840000
- Cardinal: 106378338009840000 can be written as One hundred six quadrillion, three hundred seventy-eight trillion, three hundred thirty-eight billion, nine million, eight hundred forty thousand.
Scientific notation
- Scientific notation: 1.0637833800984 × 1017
Factors of 106378338009840000
Divisors of 106378338009840000
- Number of divisors d(n): 1920
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 31 32 39 40 48 50 52 60 62 64 65 75 78 80 93 96 100 104 120 124 125 128 130 150 155 156 160 169 186 192 195 200 208 240 248 250 260 300 310 312 320 325 338 372 375 384 390 400 403 416 439 465 480 496 500 507 520 600 620 624 625 640 650 676 744 750 775 780 800 806 832 845 878 930 960 975 992 1000 1014 1040 1200 1209 1240 1248 1250 1300 1317 1352 1488 1500 1550 1560 1600 1612 1625 1664 1690 1756 1860 1875 1920 1950 1984 2000 2015 2028 2080 2195 2325 2400 2418 2480 2496 2500 2535 2600 2634 2704 2976 3000 3100 3120 3200 3224 3250 3380 3512 3720 3750 3875 3900 3968 4000 4030 4056 4160 4225 4390 4650 4800 4836 4875 4960 4992 5000 5070 5200 5239 5268 5408 5707 5952 6000 6045 6200 6240 6448 6500 6585 6760 7024 7440 7500 7750 7800 8000 8060 8112 8125 8320 8450 8780 9300 9600 9672 9750 9920 10000 10075 10140 10400 10478 10536 10816 10975 11414 11625 11904 12000 12090 12400 12480 12675 12896 13000 13170 13520 13609 14048 14880 15000 15500 15600 15717 16000 16120 16224 16250 16900 17121 17560 18600 19344 19375 19500 19840 20000 20150 20280 20800 20956 21072 21125 21632 21950 22828 23250 24000 24180 24375 24800 24960 25350 25792 26000 26195 26340 27040 27218 28096 28535 29760 30000 30225 31000 31200 31434 32240 32448 32500 32925 33800 34242 35120 37200 38688 38750 39000 40000 40300 40560 40827 41600 41912 42144 42250 43900 45656 46500 48000 48360 48750 49600 50375 50700 51584 52000 52390 52680 54080 54436 54875 56192 57070 58125 59520 60000 60450 62000 62400 62868 63375 64480 64896 65000 65850 67600 68045 68484 70240 74191 74400 77376 77500 78000 78585 80000 80600 81120 81654 83824 84288 84500 85605 87800 91312 93000 96720 97500 99200 100750 101400 104000 104780 105360 105625 108160 108872 109750 114140 116250 120000 120900 124000 124800 125736 126750 128960 130000 130975 131700 135200 136090 136968 140480 142675 148382 148800 151125 154752 155000 156000 157170 161200 162240 163308 164625 167648 168576 169000 171210 175600 176917 182624 186000 192721 193440 195000 201500 202800 204135 208000 209560 210720 211250 217744 219500 222573 228280 232500 240000 241800 248000 251472 251875 253500 257920 260000 261950 263400 270400 272180 273936 274375 280960 285350 296764 297600 302250 310000 312000 314340 316875 322400 324480 326616 329250 335296 338000 340225 342420 351200 353834 365248 370955 372000 385442 386880 390000 392925 403000 405600 408270 419120 421440 422500 428025 435488 439000 445146 456560 465000 483600 496000 502944 503750 507000 520000 523900 526800 530751 540800 544360 547872 548750 570700 578163 593528 604500 620000 624000 628680 633750 644800 653232 654875 658500 670592 676000 680450 684840 702400 707668 713375 730496 741910 744000 755625 770884 773760 780000 785850 806000 811200 816540 823125 838240 842880 845000 856050 870976 878000 884585 890292 913120 930000 963605 967200 1005888 1007500 1014000 1020675 1040000 1047800 1053600 1061502 1088720 1095744 1097500 1112865 1141400 1156326 1187056 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3545944600328000 4091474538840000 4255133520393600 4432430750410000 5318916900492000 6648646125615000 7091889200656000 8182949077680000 8864861500820000 10637833800984000 13297292251230000 17729723001640000 21275667601968000 26594584502460000 35459446003280000 53189169004920000 106378338009840000
- Sum of all divisors σ(n): 395581747040409600
- Sum of proper divisors (its aliquot sum) s(n): 289203409030569600
- 106378338009840000 is an abundant number, because the sum of its proper divisors (289203409030569600) is greater than itself. Its abundance is 182825071020729600
Bases of 106378338009840000
- Binary: 1011110011110111010001000111010001101111101111001100000002
- Hexadecimal: 0x179EE88E8DF7980
- Base-36: T3FZ1TVRIIO
Squares and roots of 106378338009840000
- 106378338009840000 squared (1063783380098400002) is 11316350797735769691936825600000000
- 106378338009840000 cubed (1063783380098400003) is 1203814590199458234828731482092511163904000000000000
-
The
square root of 106378338009840000 is 326156922.3699536935 -
The
cube root of 106378338009840000 is 473824.7407189813
Scales and comparisons
How big is 106378338009840000?- 106,378,338,009,840,000 seconds is equal to 3,382,502,098 years, 47 weeks, 1 day, 18 hours, 40 minutes.
-
To count from 1 to 106,378,338,009,840,000 would take you about ten billion, one hundred forty-seven million, five hundred six thousand, two hundred ninety-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 106378338009840000 cubic inches would be around 39485.4 feet tall.
Recreational maths with 106378338009840000
- 106378338009840000 backwards is 000048900833873601
- 106378338009840000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 106378338009840000's digits is 60
- More coming soon!
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The information we have on file for 106378338009840000 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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