993693120
993,693,120 is an even composite number composed of six prime numbers multiplied together.
993693120 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 993693120:
26 × 3 × 5 × 7 × 29 × 5099
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 29 × 5099)See below for interesting mathematical facts about the number 993693120 from the Numbermatics database.
Names of 993693120
- Cardinal: 993693120 can be written as Nine hundred ninety-three million, six hundred ninety-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 9.9369312 × 108
Factors of 993693120
Divisors of 993693120
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 32 35 40 42 48 56 58 60 64 70 80 84 87 96 105 112 116 120 140 145 160 168 174 192 203 210 224 232 240 280 290 320 336 348 406 420 435 448 464 480 560 580 609 672 696 812 840 870 928 960 1015 1120 1160 1218 1344 1392 1624 1680 1740 1856 2030 2240 2320 2436 2784 3045 3248 3360 3480 4060 4640 4872 5099 5568 6090 6496 6720 6960 8120 9280 9744 10198 12180 12992 13920 15297 16240 19488 20396 24360 25495 27840 30594 32480 35693 38976 40792 48720 50990 61188 64960 71386 76485 81584 97440 101980 107079 122376 142772 147871 152970 163168 178465 194880 203960 214158 244752 285544 295742 305940 326336 356930 407920 428316 443613 489504 535395 571088 591484 611880 713860 739355 815840 856632 887226 979008 1035097 1070790 1142176 1182968 1223760 1427720 1478710 1631680 1713264 1774452 2070194 2141580 2218065 2284352 2365936 2447520 2855440 2957420 3105291 3426528 3548904 4140388 4283160 4436130 4731872 4895040 5175485 5710880 5914840 6210582 6853056 7097808 8280776 8566320 8872260 9463744 10350970 11421760 11829680 12421164 14195616 15526455 16561552 17132640 17744520 20701940 23659360 24842328 28391232 31052910 33123104 34265280 35489040 41403880 47318720 49684656 62105820 66246208 70978080 82807760 99369312 124211640 141956160 165615520 198738624 248423280 331231040 496846560 993693120
- Sum of all divisors σ(n): 3730752000
- Sum of proper divisors (its aliquot sum) s(n): 2737058880
- 993693120 is an abundant number, because the sum of its proper divisors (2737058880) is greater than itself. Its abundance is 1743365760
Bases of 993693120
- Binary: 1110110011101010001101110000002
- Hexadecimal: 0x3B3A8DC0
- Base-36: GFMAIO
Squares and roots of 993693120
- 993693120 squared (9936931202) is 987426016735334400
- 993693120 cubed (9936931203) is 981198439338906654179328000
-
The
square root of 993693120 is 31522.8983439023 -
The
cube root of 993693120 is 997.8932714783
Scales and comparisons
How big is 993693120?- 993,693,120 seconds is equal to 31 years, 31 weeks, 1 hour, 52 minutes.
-
To count from 1 to 993,693,120 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 993693120 cubic inches would be around 83.2 feet tall.
Recreational maths with 993693120
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