997116512
997,116,512 is an even composite number composed of five prime numbers multiplied together.
997116512 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 997116512:
25 × 7 × 292 × 67 × 79
(2 × 2 × 2 × 2 × 2 × 7 × 29 × 29 × 67 × 79)See below for interesting mathematical facts about the number 997116512 from the Numbermatics database.
Names of 997116512
- Cardinal: 997116512 can be written as Nine hundred ninety-seven million, one hundred sixteen thousand, five hundred twelve.
Scientific notation
- Scientific notation: 9.97116512 × 108
Factors of 997116512
Divisors of 997116512
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 7 8 14 16 28 29 32 56 58 67 79 112 116 134 158 203 224 232 268 316 406 464 469 536 553 632 812 841 928 938 1072 1106 1264 1624 1682 1876 1943 2144 2212 2291 2528 3248 3364 3752 3886 4424 4582 5293 5887 6496 6728 7504 7772 8848 9164 10586 11774 13456 13601 15008 15544 16037 17696 18328 21172 23548 26912 27202 31088 32074 36656 37051 42344 47096 54404 56347 62176 64148 66439 73312 74102 84688 94192 108808 112694 128296 132878 148204 153497 169376 188384 217616 225388 256592 265756 296408 306994 394429 435232 450776 465073 513184 531512 592816 613988 788858 901552 930146 1063024 1074479 1185632 1227976 1577716 1803104 1860292 2126048 2148958 2455952 3155432 3720584 4297916 4451413 4911904 6310864 7441168 8595832 8902826 12621728 14882336 17191664 17805652 31159891 34383328 35611304 62319782 71222608 124639564 142445216 249279128 498558256 997116512
- Sum of all divisors σ(n): 2388072960
- Sum of proper divisors (its aliquot sum) s(n): 1390956448
- 997116512 is an abundant number, because the sum of its proper divisors (1390956448) is greater than itself. Its abundance is 393839936
Bases of 997116512
- Binary: 1110110110111011001010011000002
- Hexadecimal: 0x3B6ECA60
- Base-36: GHNO0W
Squares and roots of 997116512
- 997116512 squared (9971165122) is 994241338503046144
- 997116512 cubed (9971165123) is 991374455534368672480329728
-
The
square root of 997116512 is 31577.1517398261 -
The
cube root of 997116512 is 999.0379120167
Scales and comparisons
How big is 997116512?- 997,116,512 seconds is equal to 31 years, 36 weeks, 4 days, 16 hours, 48 minutes, 32 seconds.
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To count from 1 to 997,116,512 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 997116512 cubic inches would be around 83.3 feet tall.
Recreational maths with 997116512
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