997128200
997,128,200 is an even composite number composed of six prime numbers multiplied together.
997128200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 997128200:
23 × 52 × 17 × 23 × 41 × 311
(2 × 2 × 2 × 5 × 5 × 17 × 23 × 41 × 311)See below for interesting mathematical facts about the number 997128200 from the Numbermatics database.
Names of 997128200
- Cardinal: 997128200 can be written as Nine hundred ninety-seven million, one hundred twenty-eight thousand, two hundred.
Scientific notation
- Scientific notation: 9.971282 × 108
Factors of 997128200
Divisors of 997128200
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 4 5 8 10 17 20 23 25 34 40 41 46 50 68 82 85 92 100 115 136 164 170 184 200 205 230 311 328 340 391 410 425 460 575 622 680 697 782 820 850 920 943 1025 1150 1244 1394 1555 1564 1640 1700 1886 1955 2050 2300 2488 2788 3110 3128 3400 3485 3772 3910 4100 4600 4715 5287 5576 6220 6970 7153 7544 7775 7820 8200 9430 9775 10574 12440 12751 13940 14306 15550 15640 16031 17425 18860 19550 21148 23575 25502 26435 27880 28612 31100 32062 34850 35765 37720 39100 42296 47150 51004 52870 57224 62200 63755 64124 69700 71530 78200 80155 94300 102008 105740 121601 127510 128248 132175 139400 143060 160310 178825 188600 211480 216767 243202 255020 264350 286120 293273 318775 320620 357650 400775 433534 486404 510040 528700 586546 608005 637550 641240 715300 801550 867068 972808 1057400 1083835 1173092 1216010 1275100 1430600 1466365 1603100 1734136 2167670 2346184 2432020 2550200 2932730 3040025 3206200 4335340 4864040 4985641 5419175 5865460 6080050 7331825 8670680 9971282 10838350 11730920 12160100 14663650 19942564 21676700 24320200 24928205 29327300 39885128 43353400 49856410 58654600 99712820 124641025 199425640 249282050 498564100 997128200
- Sum of all divisors σ(n): 2632331520
- Sum of proper divisors (its aliquot sum) s(n): 1635203320
- 997128200 is an abundant number, because the sum of its proper divisors (1635203320) is greater than itself. Its abundance is 638075120
Bases of 997128200
- Binary: 1110110110111011111000000010002
- Hexadecimal: 0x3B6EF808
- Base-36: GHNX1K
Squares and roots of 997128200
- 997128200 squared (9971282002) is 994264647235240000
- 997128200 cubed (9971282003) is 991409318021309837768000000
-
The
square root of 997128200 is 31577.3368098071 -
The
cube root of 997128200 is 999.0418155091
Scales and comparisons
How big is 997128200?- 997,128,200 seconds is equal to 31 years, 36 weeks, 4 days, 20 hours, 3 minutes, 20 seconds.
-
To count from 1 to 997,128,200 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 997128200 cubic inches would be around 83.3 feet tall.
Recreational maths with 997128200
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