997351920
997,351,920 is an even composite number composed of six prime numbers multiplied together.
997351920 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 997351920:
24 × 33 × 5 × 17 × 157 × 173
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 17 × 157 × 173)See below for interesting mathematical facts about the number 997351920 from the Numbermatics database.
Names of 997351920
- Cardinal: 997351920 can be written as Nine hundred ninety-seven million, three hundred fifty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 9.9735192 × 108
Factors of 997351920
Divisors of 997351920
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 157 170 173 180 204 216 240 255 270 272 306 314 340 346 360 408 432 459 471 510 519 540 612 628 680 692 720 765 785 816 865 918 942 1020 1038 1080 1224 1256 1360 1384 1413 1530 1557 1570 1730 1836 1884 2040 2076 2160 2295 2355 2448 2512 2595 2669 2768 2826 2941 3060 3114 3140 3460 3672 3768 4080 4152 4239 4590 4671 4710 5190 5338 5652 5882 6120 6228 6280 6920 7065 7344 7536 7785 8007 8304 8478 8823 9180 9342 9420 10380 10676 11304 11764 12240 12456 12560 13345 13840 14130 14705 15570 16014 16956 17646 18360 18684 18840 20760 21195 21352 22608 23355 23528 24021 24912 26469 26690 27161 28260 29410 31140 32028 33912 35292 36720 37368 37680 40035 41520 42390 42704 44115 46710 47056 48042 52938 53380 54322 56520 58820 62280 64056 67824 70584 72063 74736 79407 80070 81483 84780 88230 93420 96084 105876 106760 108644 113040 117640 120105 124560 128112 132345 135805 141168 144126 158814 160140 162966 169560 176460 186840 192168 211752 213520 217288 235280 240210 244449 264690 271610 288252 317628 320280 325932 339120 352920 360315 373680 384336 397035 407415 423504 434576 461737 480420 488898 529380 543220 576504 635256 640560 651864 705840 720630 733347 794070 814830 923474 960840 977796 1058760 1086440 1153008 1222245 1270512 1303728 1385211 1441260 1466694 1588140 1629660 1846948 1921680 1955592 2117520 2172880 2308685 2444490 2770422 2882520 2933388 3176280 3259320 3666735 3693896 3911184 4155633 4617370 4888980 5540844 5765040 5866776 6352560 6518640 6926055 7333470 7387792 8311266 9234740 9777960 11081688 11733552 12466899 13852110 14666940 16622532 18469480 19555920 20778165 22163376 24933798 27704220 29333880 33245064 36938960 41556330 49867596 55408440 58667760 62334495 66490128 83112660 99735192 110816880 124668990 166225320 199470384 249337980 332450640 498675960 997351920
- Sum of all divisors σ(n): 3681728640
- Sum of proper divisors (its aliquot sum) s(n): 2684376720
- 997351920 is an abundant number, because the sum of its proper divisors (2684376720) is greater than itself. Its abundance is 1687024800
Bases of 997351920
- Binary: 1110110111001001100001111100002
- Hexadecimal: 0x3B7261F0
- Base-36: GHSPO0
Squares and roots of 997351920
- 997351920 squared (9973519202) is 994710852327686400
- 997351920 cubed (9973519203) is 992076778413854500197888000
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The
square root of 997351920 is 31580.8790251317 -
The
cube root of 997351920 is 999.1165263707
Scales and comparisons
How big is 997351920?- 997,351,920 seconds is equal to 31 years, 37 weeks, 10 hours, 12 minutes.
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To count from 1 to 997,351,920 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 997351920 cubic inches would be around 83.3 feet tall.
Recreational maths with 997351920
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