997097472
997,097,472 is an even composite number composed of four prime numbers multiplied together.
997097472 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 997097472:
215 × 33 × 72 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 23)See below for interesting mathematical facts about the number 997097472 from the Numbermatics database.
Names of 997097472
- Cardinal: 997097472 can be written as Nine hundred ninety-seven million, ninety-seven thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 9.97097472 × 108
Factors of 997097472
Divisors of 997097472
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 32 36 42 46 48 49 54 56 63 64 69 72 84 92 96 98 108 112 126 128 138 144 147 161 168 184 189 192 196 207 216 224 252 256 276 288 294 322 336 368 378 384 392 414 432 441 448 483 504 512 552 576 588 621 644 672 736 756 768 784 828 864 882 896 966 1008 1024 1104 1127 1152 1176 1242 1288 1323 1344 1449 1472 1512 1536 1568 1656 1728 1764 1792 1932 2016 2048 2208 2254 2304 2352 2484 2576 2646 2688 2898 2944 3024 3072 3136 3312 3381 3456 3528 3584 3864 4032 4096 4347 4416 4508 4608 4704 4968 5152 5292 5376 5796 5888 6048 6144 6272 6624 6762 6912 7056 7168 7728 8064 8192 8694 8832 9016 9216 9408 9936 10143 10304 10584 10752 11592 11776 12096 12288 12544 13248 13524 13824 14112 14336 15456 16128 16384 17388 17664 18032 18432 18816 19872 20286 20608 21168 21504 23184 23552 24192 24576 25088 26496 27048 27648 28224 28672 30429 30912 32256 32768 34776 35328 36064 36864 37632 39744 40572 41216 42336 43008 46368 47104 48384 49152 50176 52992 54096 55296 56448 57344 60858 61824 64512 69552 70656 72128 73728 75264 79488 81144 82432 84672 86016 92736 94208 96768 98304 100352 105984 108192 110592 112896 114688 121716 123648 129024 139104 141312 144256 147456 150528 158976 162288 164864 169344 172032 185472 188416 193536 200704 211968 216384 221184 225792 229376 243432 247296 258048 278208 282624 288512 294912 301056 317952 324576 329728 338688 344064 370944 376832 387072 401408 423936 432768 442368 451584 486864 494592 516096 556416 565248 577024 602112 635904 649152 659456 677376 688128 741888 753664 774144 802816 847872 865536 884736 903168 973728 989184 1032192 1112832 1130496 1154048 1204224 1271808 1298304 1318912 1354752 1483776 1548288 1605632 1695744 1731072 1806336 1947456 1978368 2064384 2225664 2260992 2308096 2408448 2543616 2596608 2637824 2709504 2967552 3096576 3391488 3462144 3612672 3894912 3956736 4451328 4616192 4816896 5087232 5193216 5275648 5419008 5935104 6193152 6782976 6924288 7225344 7789824 7913472 8902656 9232384 10174464 10386432 10838016 11870208 13848576 14450688 15579648 15826944 17805312 18464768 20348928 20772864 21676032 23740416 27697152 31159296 35610624 36929536 41545728 43352064 47480832 55394304 62318592 71221248 83091456 110788608 124637184 142442496 166182912 249274368 332365824 498548736 997097472
- Sum of all divisors σ(n): 3586075200
- Sum of proper divisors (its aliquot sum) s(n): 2588977728
- 997097472 is an abundant number, because the sum of its proper divisors (2588977728) is greater than itself. Its abundance is 1591880256
Bases of 997097472
- Binary: 1110110110111010000000000000002
- Hexadecimal: 0x3B6E8000
- Base-36: GHN9C0
Squares and roots of 997097472
- 997097472 squared (9970974722) is 994203368668790784
- 997097472 cubed (9970974723) is 991317665553535296023298048
-
The
square root of 997097472 is 31576.8502545773 -
The
cube root of 997097472 is 999.0315530799
Scales and comparisons
How big is 997097472?- 997,097,472 seconds is equal to 31 years, 36 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 997,097,472 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 997097472 cubic inches would be around 83.3 feet tall.
Recreational maths with 997097472
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