993031680
993,031,680 is an even composite number composed of six prime numbers multiplied together.
993031680 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 993031680:
29 × 3 × 5 × 31 × 43 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 31 × 43 × 97)See below for interesting mathematical facts about the number 993031680 from the Numbermatics database.
Names of 993031680
- Cardinal: 993031680 can be written as Nine hundred ninety-three million, thirty-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 9.9303168 × 108
Factors of 993031680
Divisors of 993031680
- 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 43 48 60 62 64 80 86 93 96 97 120 124 128 129 155 160 172 186 192 194 215 240 248 256 258 291 310 320 344 372 384 388 430 465 480 485 496 512 516 582 620 640 645 688 744 768 776 860 930 960 970 992 1032 1164 1240 1280 1290 1333 1376 1455 1488 1536 1552 1720 1860 1920 1940 1984 2064 2328 2480 2560 2580 2666 2752 2910 2976 3007 3104 3440 3720 3840 3880 3968 3999 4128 4171 4656 4960 5160 5332 5504 5820 5952 6014 6208 6665 6880 7440 7680 7760 7936 7998 8256 8342 9021 9312 9920 10320 10664 11008 11640 11904 12028 12416 12513 13330 13760 14880 15035 15520 15872 15996 16512 16684 18042 18624 19840 19995 20640 20855 21328 22016 23280 23808 24056 24832 25026 26660 27520 29760 30070 31040 31992 33024 33368 36084 37248 39680 39990 41280 41710 42656 45105 46560 47616 48112 49664 50052 53320 55040 59520 60140 62080 62565 63984 66048 66736 72168 74496 79360 79980 82560 83420 85312 90210 93120 96224 100104 106640 110080 119040 120280 124160 125130 127968 129301 133472 144336 148992 159960 165120 166840 170624 180420 186240 192448 200208 213280 238080 240560 248320 250260 255936 258602 266944 288672 319920 330240 333680 341248 360840 372480 384896 387903 400416 426560 481120 500520 511872 517204 533888 577344 639840 646505 667360 682496 721680 744960 769792 775806 800832 853120 962240 1001040 1023744 1034408 1067776 1154688 1279680 1293010 1334720 1443360 1539584 1551612 1601664 1706240 1924480 1939515 2002080 2047488 2068816 2135552 2309376 2559360 2586020 2669440 2886720 3103224 3203328 3412480 3848960 3879030 4004160 4137632 4618752 5118720 5172040 5338880 5773440 6206448 6406656 7697920 7758060 8008320 8275264 10237440 10344080 10677760 11546880 12412896 15516120 16016640 16550528 20688160 23093760 24825792 31032240 32033280 33101056 41376320 49651584 62064480 66202112 82752640 99303168 124128960 165505280 198606336 248257920 331010560 496515840 993031680
- Sum of all divisors σ(n): 3387783168
- Sum of proper divisors (its aliquot sum) s(n): 2394751488
- 993031680 is an abundant number, because the sum of its proper divisors (2394751488) is greater than itself. Its abundance is 1401719808
Bases of 993031680
- Binary: 1110110011000001110110000000002
- Hexadecimal: 0x3B307600
- Base-36: GF845C
Squares and roots of 993031680
- 993031680 squared (9930316802) is 986111917483622400
- 993031680 cubed (9930316803) is 979240374086782924357632000
-
The
square root of 993031680 is 31512.4051763745 -
The
cube root of 993031680 is 997.6718104065
Scales and comparisons
How big is 993031680?- 993,031,680 seconds is equal to 31 years, 29 weeks, 6 days, 10 hours, 8 minutes.
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To count from 1 to 993,031,680 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 993031680 cubic inches would be around 83.1 feet tall.
Recreational maths with 993031680
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