13720997406017200
13,720,997,406,017,200 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13720997406017200 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2160 divisors.
13720997406017200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13720997406017200:
24 × 52 × 13 × 172 × 29 × 612 × 211 × 401
(2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 17 × 29 × 61 × 61 × 211 × 401)See below for interesting mathematical facts about the number 13720997406017200 from the Numbermatics database.
Names of 13720997406017200
- Cardinal: 13720997406017200 can be written as Thirteen quadrillion, seven hundred twenty trillion, nine hundred ninety-seven billion, four hundred six million, seventeen thousand, two hundred.
Scientific notation
- Scientific notation: 1.37209974060172 × 1016
Factors of 13720997406017200
Divisors of 13720997406017200
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 29 34 40 50 52 58 61 65 68 80 85 100 104 116 122 130 136 145 170 200 208 211 221 232 244 260 272 289 290 305 325 340 377 400 401 422 425 442 464 488 493 520 578 580 610 650 680 725 754 793 802 844 850 884 976 986 1037 1040 1055 1105 1156 1160 1220 1300 1360 1445 1450 1508 1525 1586 1604 1688 1700 1768 1769 1885 1972 2005 2074 2110 2210 2312 2320 2440 2465 2600 2743 2890 2900 3016 3050 3172 3208 3376 3400 3536 3538 3587 3721 3757 3770 3944 3965 4010 4148 4220 4420 4624 4880 4930 5185 5200 5213 5275 5486 5525 5780 5800 6032 6100 6119 6344 6409 6416 6800 6817 7076 7174 7225 7442 7514 7540 7888 7930 8020 8296 8381 8440 8840 8845 9425 9860 10025 10370 10426 10550 10972 11050 11560 11600 11629 12200 12238 12325 12688 12818 12871 13481 13634 13715 14152 14348 14450 14884 15028 15080 15860 16040 16592 16762 16880 17629 17680 17690 17935 18605 18785 18850 19720 19825 20050 20740 20852 21100 21944 22100 22997 23120 23258 24400 24461 24476 24650 25636 25742 25925 26065 26962 27268 27430 28304 28696 28900 29768 30056 30073 30160 30595 31720 32045 32080 33524 34085 35258 35380 35870 37210 37570 37700 39440 39650 40100 41480 41704 41905 42200 43888 44200 44225 45994 46516 46631 48373 48922 48952 49300 51272 51484 51850 52130 53924 54536 54860 57392 57800 58145 59536 60112 60146 60979 61190 63257 63440 64090 64355 67048 67405 68170 68575 70516 70760 71740 74420 75140 75400 79300 79547 80200 82960 83408 83810 84400 84611 88145 88400 88450 88621 89675 91988 93025 93032 93262 93925 96746 97844 97904 98600 102544 102968 103700 104023 104260 107848 107909 108953 109072 109720 114985 115600 115889 116290 120292 121958 122305 122380 126514 128180 128710 130325 134096 134810 136340 137150 141032 141520 143480 148840 150280 150365 150800 151177 152975 158600 159094 160225 160400 167323 167620 169222 170425 176290 176900 177242 179350 183976 186050 186064 186524 187850 193492 195688 197200 197693 205936 207400 208046 208520 209525 215696 215818 217906 218807 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776074513915 778319666800 812855296565 818577580600 826964645975 855423778430 865132245020 909880464590 913028839900 921862228300 949549993496 956300348900 969544757350 1000437288080 1006380915800 1017802641200 1066039733200 1070447605400 1081415306275 1113265509616 1121179719400 1124671918526 1179894866800 1182844603967 1186937491870 1241719222264 1250546610100 1300568474504 1316036582200 1323143433560 1368678045488 1391581887020 1455808743344 1551271611760 1552149027830 1625710593130 1637155161200 1653929291950 1710847556860 1730264490040 1739477358775 1819760929180 1826057679800 1843724456600 1899099986992 1912600697800 1939089514700 2012761831600 2017793736179 2138559446075 2140895210800 2162830612550 2242359438800 2249343837052 2274701161475 2365689207934 2373874983740 2483438444528 2501093220200 2601136949008 2632073164400 2638653347311 2646286867120 2783163774040 2811679796315 2967343729675 3104298055660 3251421186260 3307858583900 3421695113720 3460528980080 3478954717550 3639521858360 3652115359600 3687448913200 3825201395600 3878179029400 3880372569575 4035587472358 4064276482825 4277118892150 4325661225100 4498687674104 4549402322950 4731378415868 4747749967480 5002186440400 5277306694622 5566327548080 5623359592630 5914223019835 5934687459350 6208596111320 6502842372520 6615717167800 6843390227440 6957909435100 7279043716720 7756358058800 7760745139150 8071174944716 8128552965650 8554237784300 8651322450200 8997375348208 9098804645900 9462756831736 9495499934960 10088968680895 10554613389244 11246719185260 11828446039670 11869374918700 12417192222640 13005684745040 13193266736555 13231434335600 13915818870200 14058398981575 15521490278300 16142349889432 16257105931300 17108475568600 17302644900400 18197609291800 18925513663472 20177937361790 21109226778488 22493438370520 23656892079340 23738749837400 26386533473110 27831637740400 28116797963150 29571115099175 31042980556600 32284699778864 32514211862600 34216951137200 34302493515043 36395218583600 40355874723580 42218453556976 44986876741040 47313784158680 47477499674800 50444843404475 52773066946220 56233595926300 59142230198350 62085961113200 65028423725200 65966333682775 68604987030086 80711749447160 94627568317360 100889686808950 105546133892440 112467191852600 118284460396700 131932667365550 137209974060172 161423498894320 171512467575215 201779373617900 211092267784880 224934383705200 236568920793400 263865334731100 274419948120344 343024935150430 403558747235800 473137841586800 527730669462200 548839896240688 686049870300860 807117494471600 857562337876075 1055461338924400 1372099740601720 1715124675752150 2744199481203440 3430249351504300 6860498703008600 13720997406017200
- Sum of all divisors σ(n): 39949312411925280
- Sum of proper divisors (its aliquot sum) s(n): 26228315005908080
- 13720997406017200 is an abundant number, because the sum of its proper divisors (26228315005908080) is greater than itself. Its abundance is 12507317599890880
Bases of 13720997406017200
- Binary: 1100001011111100101100101010000101100110000110101100002
- Hexadecimal: 0x30BF2CA85986B0
- Base-36: 3R3OR6TVYR4
Squares and roots of 13720997406017200
- 13720997406017200 squared (137209974060172002) is 188265769815930731146766695840000
- 13720997406017200 cubed (137209974060172003) is 2583194139286216830781303247483555378208448000000
-
The
square root of 13720997406017200 is 117136661.2381332987 -
The
cube root of 13720997406017200 is 239402.4335516451
Scales and comparisons
How big is 13720997406017200?- 13,720,997,406,017,200 seconds is equal to 436,285,275 years, 35 weeks, 2 days, 10 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,720,997,406,017,200 would take you about one billion, three hundred eight million, eight hundred fifty-five thousand, eight hundred twenty-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 13720997406017200 cubic inches would be around 19950.2 feet tall.
Recreational maths with 13720997406017200
- 13720997406017200 backwards is 00271060479902731
- 13720997406017200 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13720997406017200's digits is 58
- More coming soon!
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The information we have on file for 13720997406017200 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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