997317120
997,317,120 is an even composite number composed of six prime numbers multiplied together.
997317120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 997317120:
29 × 3 × 5 × 31 × 59 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 31 × 59 × 71)See below for interesting mathematical facts about the number 997317120 from the Numbermatics database.
Names of 997317120
- Cardinal: 997317120 can be written as Nine hundred ninety-seven million, three hundred seventeen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 9.9731712 × 108
Factors of 997317120
Divisors of 997317120
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 59 60 62 64 71 80 93 96 118 120 124 128 142 155 160 177 186 192 213 236 240 248 256 284 295 310 320 354 355 372 384 426 465 472 480 496 512 568 590 620 640 708 710 744 768 852 885 930 944 960 992 1065 1136 1180 1240 1280 1416 1420 1488 1536 1704 1770 1829 1860 1888 1920 1984 2130 2201 2272 2360 2480 2560 2832 2840 2976 3408 3540 3658 3720 3776 3840 3968 4189 4260 4402 4544 4720 4960 5487 5664 5680 5952 6603 6816 7080 7316 7440 7552 7680 7936 8378 8520 8804 9088 9145 9440 9920 10974 11005 11328 11360 11904 12567 13206 13632 14160 14632 14880 15104 15872 16756 17040 17608 18176 18290 18880 19840 20945 21948 22010 22656 22720 23808 25134 26412 27264 27435 28320 29264 29760 30208 33015 33512 34080 35216 36352 36580 37760 39680 41890 43896 44020 45312 45440 47616 50268 52824 54528 54870 56640 58528 59520 62835 66030 67024 68160 70432 73160 75520 79360 83780 87792 88040 90624 90880 100536 105648 109056 109740 113280 117056 119040 125670 129859 132060 134048 136320 140864 146320 151040 167560 175584 176080 181760 201072 211296 219480 226560 234112 238080 251340 259718 264120 268096 272640 281728 292640 335120 351168 352160 389577 402144 422592 438960 453120 468224 502680 519436 528240 536192 545280 563456 585280 649295 670240 702336 704320 779154 804288 845184 877920 936448 1005360 1038872 1056480 1072384 1126912 1170560 1298590 1340480 1404672 1408640 1558308 1608576 1690368 1755840 1947885 2010720 2077744 2112960 2144768 2341120 2597180 2680960 2809344 2817280 3116616 3217152 3380736 3511680 3895770 4021440 4155488 4225920 4682240 5194360 5361920 5634560 6233232 6434304 7023360 7791540 8042880 8310976 8451840 10388720 10723840 12466464 14046720 15583080 16085760 16621952 16903680 20777440 24932928 31166160 32171520 33243904 41554880 49865856 62332320 66487808 83109760 99731712 124664640 166219520 199463424 249329280 332439040 498658560 997317120
- Sum of all divisors σ(n): 3394068480
- Sum of proper divisors (its aliquot sum) s(n): 2396751360
- 997317120 is an abundant number, because the sum of its proper divisors (2396751360) is greater than itself. Its abundance is 1399434240
Bases of 997317120
- Binary: 1110110111000111011010000000002
- Hexadecimal: 0x3B71DA00
- Base-36: GHRYTC
Squares and roots of 997317120
- 997317120 squared (9973171202) is 994641437845094400
- 997317120 cubed (9973171203) is 991972934224328553136128000
-
The
square root of 997317120 is 31580.3280540277 -
The
cube root of 997317120 is 999.1049057119
Scales and comparisons
How big is 997317120?- 997,317,120 seconds is equal to 31 years, 37 weeks, 32 minutes.
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To count from 1 to 997,317,120 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 997317120 cubic inches would be around 83.3 feet tall.
Recreational maths with 997317120
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