993197120
993,197,120 is an even composite number composed of six prime numbers multiplied together.
993197120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 993197120:
26 × 5 × 17 × 41 × 61 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 17 × 41 × 61 × 73)See below for interesting mathematical facts about the number 993197120 from the Numbermatics database.
Names of 993197120
- Cardinal: 993197120 can be written as Nine hundred ninety-three million, one hundred ninety-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 9.9319712 × 108
Factors of 993197120
Divisors of 993197120
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 32 34 40 41 61 64 68 73 80 82 85 122 136 146 160 164 170 205 244 272 292 305 320 328 340 365 410 488 544 584 610 656 680 697 730 820 976 1037 1088 1168 1220 1241 1312 1360 1394 1460 1640 1952 2074 2336 2440 2482 2501 2624 2720 2788 2920 2993 3280 3485 3904 4148 4453 4672 4880 4964 5002 5185 5440 5576 5840 5986 6205 6560 6970 8296 8906 9760 9928 10004 10370 11152 11680 11972 12410 12505 13120 13940 14965 16592 17812 19520 19856 20008 20740 22265 22304 23360 23944 24820 25010 27880 29930 33184 35624 39712 40016 41480 42517 44530 44608 47888 49640 50020 50881 55760 59860 66368 71248 75701 79424 80032 82960 85034 89060 95776 99280 100040 101762 111520 119720 142496 151402 160064 165920 170068 178120 182573 191552 198560 200080 203524 212585 223040 239440 254405 284992 302804 331840 340136 356240 365146 378505 397120 400160 407048 425170 478880 508810 605608 680272 712480 730292 757010 800320 814096 850340 912865 957760 1017620 1211216 1360544 1424960 1460584 1514020 1628192 1700680 1825730 2035240 2422432 2721088 2921168 3028040 3103741 3256384 3401360 3651460 4070480 4844864 5842336 6056080 6207482 6802720 7302920 8140960 11684672 12112160 12414964 13605440 14605840 15518705 16281920 24224320 24829928 29211680 31037410 49659856 58423360 62074820 99319712 124149640 198639424 248299280 496598560 993197120
- Sum of all divisors σ(n): 2643018336
- Sum of proper divisors (its aliquot sum) s(n): 1649821216
- 993197120 is an abundant number, because the sum of its proper divisors (1649821216) is greater than itself. Its abundance is 656624096
Bases of 993197120
- Binary: 1110110011001011111100010000002
- Hexadecimal: 0x3B32FC40
- Base-36: GFBNSW
Squares and roots of 993197120
- 993197120 squared (9931971202) is 986440519176294400
- 993197120 cubed (9931971203) is 979729882697200370352128000
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The
square root of 993197120 is 31515.0300650341 -
The
cube root of 993197120 is 997.7272116799
Scales and comparisons
How big is 993197120?- 993,197,120 seconds is equal to 31 years, 30 weeks, 1 day, 8 hours, 5 minutes, 20 seconds.
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To count from 1 to 993,197,120 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 993197120 cubic inches would be around 83.1 feet tall.
Recreational maths with 993197120
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