107408083968000000
107,408,083,968,000,000 is an even composite number composed of four prime numbers multiplied together.
107408083968000000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three thousand, five hundred seventy divisors.
Prime factorization of 107408083968000000:
216 × 39 × 56 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 73 × 73)See below for interesting mathematical facts about the number 107408083968000000 from the Numbermatics database.
Names of 107408083968000000
- Cardinal: 107408083968000000 can be written as One hundred seven quadrillion, four hundred eight trillion, eighty-three billion, nine hundred sixty-eight million.
Scientific notation
- Scientific notation: 1.07408083968 × 1017
Factors of 107408083968000000
Divisors of 107408083968000000
- Number of divisors d(n): 3570
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 73 75 80 81 90 96 100 108 120 125 128 135 144 146 150 160 162 180 192 200 216 219 225 240 243 250 256 270 288 292 300 320 324 360 365 375 384 400 405 432 438 450 480 486 500 512 540 576 584 600 625 640 648 657 675 720 729 730 750 768 800 810 864 876 900 960 972 1000 1024 1080 1095 1125 1152 1168 1200 1215 1250 1280 1296 1314 1350 1440 1458 1460 1500 1536 1600 1620 1728 1752 1800 1825 1875 1920 1944 1971 2000 2025 2048 2160 2187 2190 2250 2304 2336 2400 2430 2500 2560 2592 2628 2700 2880 2916 2920 3000 3072 3125 3200 3240 3285 3375 3456 3504 3600 3645 3650 3750 3840 3888 3942 4000 4050 4096 4320 4374 4380 4500 4608 4672 4800 4860 5000 5120 5184 5256 5329 5400 5475 5625 5760 5832 5840 5913 6000 6075 6144 6250 6400 6480 6561 6570 6750 6912 7008 7200 7290 7300 7500 7680 7776 7884 8000 8100 8192 8640 8748 8760 9000 9125 9216 9344 9375 9600 9720 9855 10000 10125 10240 10368 10512 10658 10800 10935 10950 11250 11520 11664 11680 11826 12000 12150 12288 12500 12800 12960 13122 13140 13500 13824 14016 14400 14580 14600 15000 15360 15552 15625 15768 15987 16000 16200 16384 16425 16875 17280 17496 17520 17739 18000 18225 18250 18432 18688 18750 19200 19440 19683 19710 20000 20250 20480 20736 21024 21316 21600 21870 21900 22500 23040 23328 23360 23652 24000 24300 24576 25000 25600 25920 26244 26280 26645 27000 27375 27648 28032 28125 28800 29160 29200 29565 30000 30375 30720 31104 31250 31536 31974 32000 32400 32768 32805 32850 33750 34560 34992 35040 35478 36000 36450 36500 36864 37376 37500 38400 38880 39366 39420 40000 40500 40960 41472 42048 42632 43200 43740 43800 45000 45625 46080 46656 46720 46875 47304 47961 48000 48600 49152 49275 50000 50625 51200 51840 52488 52560 53217 53290 54000 54675 54750 55296 56064 56250 57600 58320 58400 59130 60000 60750 61440 62208 62500 63072 63948 64000 64800 65536 65610 65700 67500 69120 69984 70080 70956 72000 72900 73000 73728 74752 75000 76800 77760 78732 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- Sum of all divisors σ(n): 408358177679122572
- Sum of proper divisors (its aliquot sum) s(n): 300950093711122572
- 107408083968000000 is an abundant number, because the sum of its proper divisors (300950093711122572) is greater than itself. Its abundance is 193542009743122572
Bases of 107408083968000000
- Binary: 1011111011001011100010101010100101110101100000000000000002
- Hexadecimal: 0x17D971552EB0000
- Base-36: TDKZKLC0000
Squares and roots of 107408083968000000
- 107408083968000000 squared (1074080839680000002) is 11536496501676938625024000000000000
- 107408083968000000 cubed (1074080839680000003) is 1239112984948654876645760258015232000000000000000000
-
The
square root of 107408083968000000 is 327731725.6049526859 -
The
cube root of 107408083968000000 is 475348.7137857613
Scales and comparisons
How big is 107408083968000000?- 107,408,083,968,000,000 seconds is equal to 3,415,244,835 years, 8 weeks, 4 days.
-
To count from 1 to 107,408,083,968,000,000 would take you about ten billion, two hundred forty-five million, seven hundred thirty-four thousand, five hundred 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 107408083968000000 cubic inches would be around 39612.4 feet tall.
Recreational maths with 107408083968000000
- 107408083968000000 backwards is 000000869380804701
- 107408083968000000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 107408083968000000's digits is 54
- More coming soon!
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"Number 107408083968000000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 107408083968000000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/107408083968000000/
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The information we have on file for 107408083968000000 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 107408083968000000, math, Factors of 107408083968000000, curriculum, school, college, exams, university, Prime factorization of 107408083968000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred seven quadrillion, four hundred eight trillion, eighty-three billion, nine hundred sixty-eight million.