972000000
972,000,000 is an even composite number composed of three prime numbers multiplied together.
972000000 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of three hundred seventy-eight divisors.
Prime factorization of 972000000:
28 × 35 × 56
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5)See below for interesting mathematical facts about the number 972000000 from the Numbermatics database.
Names of 972000000
- Cardinal: 972000000 can be written as Nine hundred seventy-two million.
Scientific notation
- Scientific notation: 9.72 × 108
Factors of 972000000
Divisors of 972000000
- Number of divisors d(n): 378
-
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 75 80 81 90 96 100 108 120 125 128 135 144 150 160 162 180 192 200 216 225 240 243 250 256 270 288 300 320 324 360 375 384 400 405 432 450 480 486 500 540 576 600 625 640 648 675 720 750 768 800 810 864 900 960 972 1000 1080 1125 1152 1200 1215 1250 1280 1296 1350 1440 1500 1600 1620 1728 1800 1875 1920 1944 2000 2025 2160 2250 2304 2400 2430 2500 2592 2700 2880 3000 3125 3200 3240 3375 3456 3600 3750 3840 3888 4000 4050 4320 4500 4800 4860 5000 5184 5400 5625 5760 6000 6075 6250 6400 6480 6750 6912 7200 7500 7776 8000 8100 8640 9000 9375 9600 9720 10000 10125 10368 10800 11250 11520 12000 12150 12500 12960 13500 14400 15000 15552 15625 16000 16200 16875 17280 18000 18750 19200 19440 20000 20250 20736 21600 22500 24000 24300 25000 25920 27000 28125 28800 30000 30375 31104 31250 32000 32400 33750 34560 36000 37500 38880 40000 40500 43200 45000 46875 48000 48600 50000 50625 51840 54000 56250 57600 60000 60750 62208 62500 64800 67500 72000 75000 77760 80000 81000 84375 86400 90000 93750 96000 97200 100000 101250 103680 108000 112500 120000 121500 125000 129600 135000 140625 144000 150000 151875 155520 160000 162000 168750 172800 180000 187500 194400 200000 202500 216000 225000 240000 243000 250000 253125 259200 270000 281250 288000 300000 303750 311040 324000 337500 360000 375000 388800 400000 405000 421875 432000 450000 480000 486000 500000 506250 518400 540000 562500 600000 607500 648000 675000 720000 750000 759375 777600 800000 810000 843750 864000 900000 972000 1000000 1012500 1080000 1125000 1200000 1215000 1265625 1296000 1350000 1440000 1500000 1518750 1555200 1620000 1687500 1800000 1944000 2000000 2025000 2160000 2250000 2400000 2430000 2531250 2592000 2700000 3000000 3037500 3240000 3375000 3600000 3796875 3888000 4000000 4050000 4320000 4500000 4860000 5062500 5400000 6000000 6075000 6480000 6750000 7200000 7593750 7776000 8100000 9000000 9720000 10125000 10800000 12000000 12150000 12960000 13500000 15187500 16200000 18000000 19440000 20250000 21600000 24300000 27000000 30375000 32400000 36000000 38880000 40500000 48600000 54000000 60750000 64800000 81000000 97200000 108000000 121500000 162000000 194400000 243000000 324000000 486000000 972000000
- Sum of all divisors σ(n): 3632844124
- Sum of proper divisors (its aliquot sum) s(n): 2660844124
- 972000000 is an abundant number, because the sum of its proper divisors (2660844124) is greater than itself. Its abundance is 1688844124
Bases of 972000000
- Binary: 1110011110111110001011000000002
- Hexadecimal: 0x39EF8B00
- Base-36: G2PC00
Squares and roots of 972000000
- 972000000 squared (9720000002) is 944784000000000000
- 972000000 cubed (9720000003) is 918330048000000000000000000
-
The
square root of 972000000 is 31176.9145362399 -
The
cube root of 972000000 is 990.5781746683 - Being both a perfect square and a perfect cube, 972000000 is also a
perfect sixth number .
Scales and comparisons
How big is 972000000?- 972,000,000 seconds is equal to 30 years, 47 weeks, 1 day.
-
To count from 1 to 972,000,000 would take you about forty-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 972000000 cubic inches would be around 82.5 feet tall.
Recreational maths with 972000000
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