993985753714200
993,985,753,714,200 is an even composite number composed of five prime numbers multiplied together.
993985753714200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 993985753714200:
23 × 34 × 52 × 13 × 4719780407
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 4719780407)See below for interesting mathematical facts about the number 993985753714200 from the Numbermatics database.
Names of 993985753714200
- Cardinal: 993985753714200 can be written as Nine hundred ninety-three trillion, nine hundred eighty-five billion, seven hundred fifty-three million, seven hundred fourteen thousand, two hundred.
Scientific notation
- Scientific notation: 9.939857537142 × 1014
Factors of 993985753714200
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 4719780430
Divisors of 993985753714200
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 27 30 36 39 40 45 50 52 54 60 65 72 75 78 81 90 100 104 108 117 120 130 135 150 156 162 180 195 200 216 225 234 260 270 300 312 324 325 351 360 390 405 450 468 520 540 585 600 648 650 675 702 780 810 900 936 975 1053 1080 1170 1300 1350 1404 1560 1620 1755 1800 1950 2025 2106 2340 2600 2700 2808 2925 3240 3510 3900 4050 4212 4680 5265 5400 5850 7020 7800 8100 8424 8775 10530 11700 14040 16200 17550 21060 23400 26325 35100 42120 52650 70200 105300 210600 4719780407 9439560814 14159341221 18879121628 23598902035 28318682442 37758243256 42478023663 47197804070 56637364884 61357145291 70796706105 84956047326 94395608140 113274729768 117994510175 122714290582 127434070989 141593412210 169912094652 184071435873 188791216280 212390118315 235989020350 245428581164 254868141978 283186824420 306785726455 339824189304 353983530525 368142871746 382302212967 424780236630 471978040700 490857162328 509736283956 552214307619 566373648840 613571452910 637170354945 707967061050 736285743492 764604425934 849560473260 920357179365 943956081400 1019472567912 1061950591575 1104428615238 1227142905820 1274340709890 1415934122100 1472571486984 1529208851868 1533928632275 1656642922857 1699120946520 1840714358730 1911511064835 2123901183150 2208857230476 2454285811640 2548681419780 2761071538095 2831868244200 3058417703736 3067857264550 3185851774725 3313285845714 3681428717460 3823022129670 4247802366300 4417714460952 4601785896825 4969928768571 5097362839560 5522143076190 6135714529100 6371703549450 6626571691428 7362857434920 7646044259340 8283214614285 8495604732600 9203571793650 9557555324175 9939857537142 11044286152380 12271429058200 12743407098900 13253143382856 13805357690475 15292088518680 16566429228570 18407143587300 19115110648350 19879715074284 22088572304760 24849643842855 25486814197800 27610715380950 33132858457140 36814287174600 38230221296700 39759430148568 41416073071425 49699287685710 55221430761900 66265716914280 76460442593400 82832146142850 99398575371420 110442861523800 124248219214275 165664292285700 198797150742840 248496438428550 331328584571400 496992876857100 993985753714200
- Sum of all divisors σ(n): 3717818225185680
- Sum of proper divisors (its aliquot sum) s(n): 2723832471471480
- 993985753714200 is an abundant number, because the sum of its proper divisors (2723832471471480) is greater than itself. Its abundance is 1729846717757280
Bases of 993985753714200
- Binary: 111000100000000110010101111100001100001110000110002
- Hexadecimal: 0x3880657C30E18
- Base-36: 9SC6R1T5I0
Squares and roots of 993985753714200
- 993985753714200 squared (9939857537142002) is 988007678586786259095281640000
- 993985753714200 cubed (9939857537142003) is 982065557075503799643559365928325067288000000
-
The
square root of 993985753714200 is 31527539.6076858491 -
The
cube root of 993985753714200 is 99799.1218737853
Scales and comparisons
How big is 993985753714200?- 993,985,753,714,200 seconds is equal to 31,605,672 years, 19 weeks, 1 day, 1 hour, 30 minutes.
-
To count from 1 to 993,985,753,714,200 would take you about seventy-nine million, fourteen thousand, one hundred eighty 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 993985753714200 cubic inches would be around 8316.6 feet tall.
Recreational maths with 993985753714200
- 993985753714200 backwards is 002417357589399
- 993985753714200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 993985753714200's digits is 72
- More coming soon!
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