970768000
970,768,000 is an even composite number composed of five prime numbers multiplied together.
970768000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 970768000:
27 × 53 × 17 × 43 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 43 × 83)See below for interesting mathematical facts about the number 970768000 from the Numbermatics database.
Names of 970768000
- Cardinal: 970768000 can be written as Nine hundred seventy million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 9.70768 × 108
Factors of 970768000
Divisors of 970768000
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 43 50 64 68 80 83 85 86 100 125 128 136 160 166 170 172 200 215 250 272 320 332 340 344 400 415 425 430 500 544 640 664 680 688 731 800 830 850 860 1000 1075 1088 1328 1360 1376 1411 1462 1600 1660 1700 1720 2000 2075 2125 2150 2176 2656 2720 2752 2822 2924 3200 3320 3400 3440 3569 3655 4000 4150 4250 4300 5312 5375 5440 5504 5644 5848 6640 6800 6880 7055 7138 7310 8000 8300 8500 8600 10375 10624 10750 10880 11288 11696 13280 13600 13760 14110 14276 14620 16000 16600 17000 17200 17845 18275 20750 21500 22576 23392 26560 27200 27520 28220 28552 29240 33200 34000 34400 35275 35690 36550 41500 43000 45152 46784 53120 54400 56440 57104 58480 60673 66400 68000 68800 70550 71380 73100 83000 86000 89225 90304 91375 93568 112880 114208 116960 121346 132800 136000 137600 141100 142760 146200 166000 172000 176375 178450 180608 182750 225760 228416 233920 242692 265600 272000 282200 285520 292400 303365 332000 344000 352750 356900 365500 446125 451520 456832 467840 485384 564400 571040 584800 606730 664000 688000 705500 713800 731000 892250 903040 970768 1128800 1142080 1169600 1213460 1328000 1411000 1427600 1462000 1516825 1784500 1941536 2257600 2284160 2339200 2426920 2822000 2855200 2924000 3033650 3569000 3883072 4515200 4853840 5644000 5710400 5848000 6067300 7138000 7584125 7766144 9707680 11288000 11420800 11696000 12134600 14276000 15168250 19415360 22576000 24269200 28552000 30336500 38830720 48538400 57104000 60673000 97076800 121346000 194153600 242692000 485384000 970768000
- Sum of all divisors σ(n): 2646483840
- Sum of proper divisors (its aliquot sum) s(n): 1675715840
- 970768000 is an abundant number, because the sum of its proper divisors (1675715840) is greater than itself. Its abundance is 704947840
Bases of 970768000
- Binary: 1110011101110010111110100000002
- Hexadecimal: 0x39DCBE80
- Base-36: G1YXDS
Squares and roots of 970768000
- 970768000 squared (9707680002) is 942390509824000000
- 970768000 cubed (9707680003) is 914842550440824832000000000
-
The
square root of 970768000 is 31157.1500622249 -
The
cube root of 970768000 is 990.1594818405
Scales and comparisons
How big is 970768000?- 970,768,000 seconds is equal to 30 years, 45 weeks, 17 hours, 46 minutes, 40 seconds.
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To count from 1 to 970,768,000 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 970768000 cubic inches would be around 82.5 feet tall.
Recreational maths with 970768000
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