997285120
997,285,120 is an even composite number composed of five prime numbers multiplied together.
997285120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 997285120:
28 × 5 × 13 × 73 × 821
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 73 × 821)See below for interesting mathematical facts about the number 997285120 from the Numbermatics database.
Names of 997285120
- Cardinal: 997285120 can be written as Nine hundred ninety-seven million, two hundred eighty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 9.9728512 × 108
Factors of 997285120
Divisors of 997285120
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 73 80 104 128 130 146 160 208 256 260 292 320 365 416 520 584 640 730 821 832 949 1040 1168 1280 1460 1642 1664 1898 2080 2336 2920 3284 3328 3796 4105 4160 4672 4745 5840 6568 7592 8210 8320 9344 9490 10673 11680 13136 15184 16420 16640 18688 18980 21346 23360 26272 30368 32840 37960 42692 46720 52544 53365 59933 60736 65680 75920 85384 93440 105088 106730 119866 121472 131360 151840 170768 210176 213460 239732 242944 262720 299665 303680 341536 426920 479464 525440 599330 607360 683072 779129 853840 958928 1050880 1198660 1214720 1366144 1558258 1707680 1917856 2397320 2732288 3116516 3415360 3835712 3895645 4794640 6233032 6830720 7671424 7791290 9589280 12466064 13661440 15342848 15582580 19178560 24932128 31165160 38357120 49864256 62330320 76714240 99728512 124660640 199457024 249321280 498642560 997285120
- Sum of all divisors σ(n): 2610981072
- Sum of proper divisors (its aliquot sum) s(n): 1613695952
- 997285120 is an abundant number, because the sum of its proper divisors (1613695952) is greater than itself. Its abundance is 616410832
Bases of 997285120
- Binary: 1110110111000101011101000000002
- Hexadecimal: 0x3B715D00
- Base-36: GHRA4G
Squares and roots of 997285120
- 997285120 squared (9972851202) is 994577610573414400
- 997285120 cubed (9972851203) is 991877451710020848713728000
-
The
square root of 997285120 is 31579.8214054481 -
The
cube root of 997285120 is 999.0942198099
Scales and comparisons
How big is 997285120?- 997,285,120 seconds is equal to 31 years, 36 weeks, 6 days, 15 hours, 38 minutes, 40 seconds.
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To count from 1 to 997,285,120 would take you about forty-seven 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 997285120 cubic inches would be around 83.3 feet tall.
Recreational maths with 997285120
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