997680564
997,680,564 is an even composite number composed of five prime numbers multiplied together.
What does the number 997680564 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 120 divisors.
997680564 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 997680564:
22 × 34 × 17 × 31 × 5843
(2 × 2 × 3 × 3 × 3 × 3 × 17 × 31 × 5843)See below for interesting mathematical facts about the number 997680564 from the Numbermatics database.
Names of 997680564
- Cardinal: 997680564 can be written as Nine hundred ninety-seven million, six hundred eighty thousand, five hundred sixty-four.
Scientific notation
- Scientific notation: 9.97680564 × 108
Factors of 997680564
Divisors of 997680564
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 3 4 6 9 12 17 18 27 31 34 36 51 54 62 68 81 93 102 108 124 153 162 186 204 279 306 324 372 459 527 558 612 837 918 1054 1116 1377 1581 1674 1836 2108 2511 2754 3162 3348 4743 5022 5508 5843 6324 9486 10044 11686 14229 17529 18972 23372 28458 35058 42687 52587 56916 70116 85374 99331 105174 157761 170748 181133 198662 210348 297993 315522 362266 397324 473283 543399 595986 631044 724532 893979 946566 1086798 1191972 1630197 1787958 1893132 2173596 2681937 3079261 3260394 3575916 4890591 5363874 6158522 6520788 8045811 9237783 9781182 10727748 12317044 14671773 16091622 18475566 19562364 27713349 29343546 32183244 36951132 55426698 58687092 83140047 110853396 166280094 249420141 332560188 498840282 997680564
- Sum of all divisors σ(n): 2851123968
- Sum of proper divisors (its aliquot sum) s(n): 1853443404
- 997680564 is an abundant number, because the sum of its proper divisors (1853443404) is greater than itself. Its abundance is 855762840
Bases of 997680564
- Binary: 1110110111011101100101101101002
- Hexadecimal: 0x3B7765B4
- Base-36: GHZR90
Squares and roots of 997680564
- 997680564 squared (9976805642) is 995366507783358096
- 997680564 cubed (9976805643) is 993057818872011095031246144
-
The
square root of 997680564 is 31586.0818082901 -
The
cube root of 997680564 is 999.2262561415
Scales and comparisons
How big is 997680564?- 997,680,564 seconds is equal to 31 years, 37 weeks, 4 days, 5 hours, 29 minutes, 24 seconds.
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To count from 1 to 997,680,564 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 997680564 cubic inches would be around 83.3 feet tall.
Recreational maths with 997680564
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