997138688
997,138,688 is an even composite number composed of five prime numbers multiplied together.
997138688 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 997138688:
28 × 7 × 13 × 23 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 23 × 1861)See below for interesting mathematical facts about the number 997138688 from the Numbermatics database.
Names of 997138688
- Cardinal: 997138688 can be written as Nine hundred ninety-seven million, one hundred thirty-eight thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 9.97138688 × 108
Factors of 997138688
Divisors of 997138688
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 91 92 104 112 128 161 182 184 208 224 256 299 322 364 368 416 448 598 644 728 736 832 896 1196 1288 1456 1472 1664 1792 1861 2093 2392 2576 2912 2944 3328 3722 4186 4784 5152 5824 5888 7444 8372 9568 10304 11648 13027 14888 16744 19136 20608 23296 24193 26054 29776 33488 38272 41216 42803 48386 52108 59552 66976 76544 85606 96772 104216 119104 133952 169351 171212 193544 208432 238208 267904 299621 338702 342424 387088 416864 476416 535808 556439 599242 677404 684848 774176 833728 1112878 1198484 1354808 1369696 1548352 1667456 2225756 2396968 2709616 2739392 3096704 3334912 3895073 4451512 4793936 5419232 5478784 6193408 7790146 8903024 9587872 10838464 10957568 15580292 17806048 19175744 21676928 31160584 35612096 38351488 43353856 62321168 71224192 76702976 124642336 142448384 249284672 498569344 997138688
- Sum of all divisors σ(n): 2557583616
- Sum of proper divisors (its aliquot sum) s(n): 1560444928
- 997138688 is an abundant number, because the sum of its proper divisors (1560444928) is greater than itself. Its abundance is 563306240
Bases of 997138688
- Binary: 1110110110111100100001000000002
- Hexadecimal: 0x3B6F2100
- Base-36: GHO54W
Squares and roots of 997138688
- 997138688 squared (9971386882) is 994285563106361344
- 997138688 cubed (9971386883) is 991440601893218355010076672
-
The
square root of 997138688 is 31577.5028778401 -
The
cube root of 997138688 is 999.0453182061
Scales and comparisons
How big is 997138688?- 997,138,688 seconds is equal to 31 years, 36 weeks, 4 days, 22 hours, 58 minutes, 8 seconds.
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To count from 1 to 997,138,688 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 997138688 cubic inches would be around 83.3 feet tall.
Recreational maths with 997138688
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