997086720
997,086,720 is an even composite number composed of six prime numbers multiplied together.
997086720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 997086720:
29 × 3 × 5 × 7 × 17 × 1091
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 17 × 1091)See below for interesting mathematical facts about the number 997086720 from the Numbermatics database.
Names of 997086720
- Cardinal: 997086720 can be written as Nine hundred ninety-seven million, eighty-six thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 9.9708672 × 108
Factors of 997086720
Divisors of 997086720
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 51 56 60 64 68 70 80 84 85 96 102 105 112 119 120 128 136 140 160 168 170 192 204 210 224 238 240 255 256 272 280 320 336 340 357 384 408 420 448 476 480 510 512 544 560 595 640 672 680 714 768 816 840 896 952 960 1020 1088 1091 1120 1190 1280 1344 1360 1428 1536 1632 1680 1785 1792 1904 1920 2040 2176 2182 2240 2380 2560 2688 2720 2856 3264 3273 3360 3570 3584 3808 3840 4080 4352 4364 4480 4760 5376 5440 5455 5712 6528 6546 6720 7140 7616 7637 7680 8160 8704 8728 8960 9520 10752 10880 10910 11424 13056 13092 13440 14280 15232 15274 16320 16365 17456 17920 18547 19040 21760 21820 22848 22911 26112 26184 26880 28560 30464 30548 32640 32730 34912 37094 38080 38185 43520 43640 45696 45822 52368 53760 55641 57120 60928 61096 65280 65460 69824 74188 76160 76370 87280 91392 91644 92735 104736 111282 114240 114555 122192 129829 130560 130920 139648 148376 152320 152740 174560 182784 183288 185470 209472 222564 228480 229110 244384 259658 261840 278205 279296 296752 304640 305480 349120 366576 370940 389487 418944 445128 456960 458220 488768 519316 523680 556410 558592 593504 610960 649145 698240 733152 741880 778974 837888 890256 913920 916440 977536 1038632 1047360 1112820 1187008 1221920 1298290 1396480 1466304 1483760 1557948 1675776 1780512 1832880 1947435 1955072 2077264 2094720 2225640 2374016 2443840 2596580 2792960 2932608 2967520 3115896 3561024 3665760 3894870 3910144 4154528 4189440 4451280 4748032 4887680 5193160 5865216 5935040 6231792 7122048 7331520 7789740 8309056 8378880 8902560 9496064 9775360 10386320 11730432 11870080 12463584 14244096 14663040 15579480 16618112 17805120 19550720 20772640 23740160 24927168 28488192 29326080 31158960 33236224 35610240 41545280 47480320 49854336 58652160 62317920 66472448 71220480 83090560 99708672 124635840 142440960 166181120 199417344 249271680 332362240 498543360 997086720
- Sum of all divisors σ(n): 3860752896
- Sum of proper divisors (its aliquot sum) s(n): 2863666176
- 997086720 is an abundant number, because the sum of its proper divisors (2863666176) is greater than itself. Its abundance is 1866579456
Bases of 997086720
- Binary: 1110110110111001010110000000002
- Hexadecimal: 0x3B6E5600
- Base-36: GHN11C
Squares and roots of 997086720
- 997086720 squared (9970867202) is 994181927200358400
- 997086720 cubed (9970867203) is 991285596875484139880448000
-
The
square root of 997086720 is 31576.6800028123 -
The
cube root of 997086720 is 999.0279621151
Scales and comparisons
How big is 997086720?- 997,086,720 seconds is equal to 31 years, 36 weeks, 4 days, 8 hours, 32 minutes.
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To count from 1 to 997,086,720 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 997086720 cubic inches would be around 83.3 feet tall.
Recreational maths with 997086720
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