13720197968100
13,720,197,968,100 is an even composite number composed of seven prime numbers multiplied together.
13720197968100 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 13720197968100:
22 × 34 × 52 × 13 × 37 × 599 × 5879
(2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 37 × 599 × 5879)See below for interesting mathematical facts about the number 13720197968100 from the Numbermatics database.
Names of 13720197968100
- Cardinal: 13720197968100 can be written as Thirteen trillion, seven hundred twenty billion, one hundred ninety-seven million, nine hundred sixty-eight thousand, one hundred.
Scientific notation
- Scientific notation: 1.37201979681 × 1013
Factors of 13720197968100
Divisors of 13720197968100
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 27 30 36 37 39 45 50 52 54 60 65 74 75 78 81 90 100 108 111 117 130 135 148 150 156 162 180 185 195 222 225 234 260 270 300 324 325 333 351 370 390 405 444 450 468 481 540 555 585 599 650 666 675 702 740 780 810 900 925 962 975 999 1053 1110 1170 1198 1300 1332 1350 1404 1443 1620 1665 1755 1797 1850 1924 1950 1998 2025 2106 2220 2340 2396 2405 2700 2775 2886 2925 2995 2997 3330 3510 3594 3700 3900 3996 4050 4212 4329 4810 4995 5265 5391 5550 5772 5850 5879 5990 5994 6660 7020 7188 7215 7787 8100 8325 8658 8775 8985 9620 9990 10530 10782 11100 11700 11758 11980 11988 12025 12987 14430 14975 14985 15574 16173 16650 17316 17550 17637 17970 19980 21060 21564 21645 22163 23361 23516 24050 24975 25974 26325 26955 28860 29395 29950 29970 31148 32346 33300 35100 35274 35940 36075 38935 38961 43290 44326 44925 46722 48100 48519 49950 51948 52650 52911 53910 58790 59900 59940 64692 64935 66489 70083 70548 72150 74925 76427 77870 77922 80865 86580 88185 88652 89850 93444 97038 99900 105300 105822 107820 108225 110815 116805 117580 129870 132978 134775 140166 144300 146975 149850 152854 155740 155844 158733 161730 176370 179700 194076 194675 194805 199467 210249 211644 216450 217523 221630 229281 233610 242595 259740 264555 265956 269550 280332 288119 293950 299700 305708 317466 323460 324675 332445 350415 352740 382135 389350 389610 398934 404325 420498 432900 435046 440925 443260 458562 467220 476199 485190 529110 539100 554075 576238 584025 587900 598401 630747 634932 649350 652569 664890 687843 700830 764270 778700 779220 793665 797868 808650 840996 864357 870092 881850 917124 952398 970380 974025 997335 1051245 1058220 1087615 1108150 1146405 1152476 1168050 1196802 1212975 1261494 1298700 1305138 1322775 1329780 1375686 1401660 1440595 1528540 1587330 1617300 1662225 1728714 1752075 1763700 1795203 1904796 1910675 1948050 1957707 1994670 2063529 2102490 2175230 2216300 2292810 2336100 2380995 2393604 2425950 2522988 2593071 2610276 2645550 2751372 2827799 2881190 2992005 3153735 3174660 3262845 3324450 3439215 3457428 3504150 3521521 3590406 3821350 3896100 3915414 3968325 3989340 4127058 4204980 4321785 4350460 4585620 4761990 4851900 4986675 5186142 5256225 5291100 5438075 5655598 5732025 5762380 5873121 5984010 6190587 6307470 6525690 6648900 6878430 7008300 7043042 7180812 7202975 7642700 7779213 7830828 7936650 8254116 8483397 8643570 8976015 9523980 9788535 9973350 10317645 10372284 10512450 10564563 10876150 11311196 11464050 11746242 11904975 11968020 12381174 12614940 12965355 13051380 13756860 14086084 14138995 14405950 14960025 15558426 15768675 15873300 16314225 16966794 17196075 17287140 17607605 17619363 17952030 19577070 19946700 20635290 21024900 21129126 21608925 21752300 22928100 23337639 23492484 23809950 24762348 25450191 25930710 28277990 28811900 29365605 29920050 30952935 31116852 31537350 31693689 32628450 33933588 34392150 35215210 35238726 35904060 38896065 39154140 41270580 42258252 42416985 43217850 44880075 45779773 46675278 47619900 48942675 50900382 51588225 51861420 52822815 56555980 58731210 59840100 61905870 63074700 63387378 64826775 65256900 68784300 70430420 70477452 70694975 76350573 77792130 84833970 86435700 88038025 88096815 89760150 91559546 93350556 95081067 97885350 101800764 103176450 105645630 116688195 117462420 123811740 126774756 127250955 129653550 130296277 137339319 141389950 146828025 152701146 154764675 155584260 158468445 169667940 176076050 176193630 179520300 183119092 190162134 194480325 195770700 206352900 211291260 212084925 228898865 229051719 233376390 254501910 259307100 260592554 264114075 274678638 282779900 285243201 293656050 305402292 309529350 316936890 352152100 352387260 380324268 381752865 388960650 390888831 412017957 424169850 440484075 457797730 458103438 466752780 475405335 509003820 521185108 528228150 549357276 570486402 583440975 587312100 619058700 633873780 636254775 651481385 686696595 763505730 777921300 781777662 792342225 824035914 848339700 880968150 915595460 916206876 950810670 1056456300 1140972804 1144494325 1145258595 1166881950 1172666493 1236053871 1272509550 1302962770 1373393190 1426216005 1527011460 1563555324 1584684450 1648071828 1693851601 1761936300 1901621340 1908764325 1954444155 2060089785 2288988650 2290517190 2333763900 2345332986 2377026675 2472107742 2545019100 2605925540 2746786380 2852432010 3169368900 3257406925 3387703202 3433482975 3517999479 3708161613 3817528650 3908888310 4120179570 4577977300 4581034380 4690665972 4754053350 4944215484 5081554803 5704864020 5726292975 5863332465 6180269355 6514813850 6775406404 6866965950 7035998958 7131080025 7416323226 7635057300 7817776620 8240359140 8469258005 9508106700 9772220775 10163109606 10300448925 10553998437 11452585950 11726664930 12360538710 13029627700 13733931900 14071997916 14262160050 14832646452 15244664409 16938516010 17589997395 18540808065 19544441550 20326219212 20600897850 21107996874 22905171900 23453329860 24721077420 25407774015 28524320100 29316662325 30489328818 30901346775 33877032020 35179994790 37081616130 39088883100 41201795700 42215993748 42346290025 45733993227 50815548030 52769992185 58633324650 60978657636 61802693550 70359989580 74163232260 76223322045 84692580050 87949986975 91467986454 92704040325 101631096060 105539984370 117266649300 123605387100 127038870075 137201979681 152446644090 169385160100 175899973950 182935972908 185408080650 211079968740 228669966135 254077740150 263849960925 274403959362 304893288180 351799947900 370816161300 381116610225 457339932270 508155480300 527699921850 548807918724 686009898405 762233220450 914679864540 1055399843700 1143349830675 1372019796810 1524466440900 2286699661350 2744039593620 3430049492025 4573399322700 6860098984050 13720197968100
- Sum of all divisors σ(n): 49281658272000
- Sum of proper divisors (its aliquot sum) s(n): 35561460303900
- 13720197968100 is an abundant number, because the sum of its proper divisors (35561460303900) is greater than itself. Its abundance is 21841262335800
Bases of 13720197968100
- Binary: 110001111010011110111000011010110000111001002
- Hexadecimal: 0xC7A7B86B0E4
- Base-36: 4V2YZMI90
Squares and roots of 13720197968100
- 13720197968100 squared (137201979681002) is 188243832283855368617610000
- 13720197968100 cubed (137201979681003) is 2582742645208309610941609227878241000000
-
The
square root of 13720197968100 is 3704078.5585756683 -
The
cube root of 13720197968100 is 23939.7783960115
Scales and comparisons
How big is 13720197968100?- 13,720,197,968,100 seconds is equal to 436,259 years, 44 weeks, 3 days, 14 hours, 15 minutes.
-
To count from 1 to 13,720,197,968,100 would take you about one million, ninety thousand, six hundred forty-nine 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 13720197968100 cubic inches would be around 1995 feet tall.
Recreational maths with 13720197968100
- 13720197968100 backwards is 00186979102731
- 13720197968100 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13720197968100's digits is 54
- More coming soon!
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The information we have on file for 13720197968100 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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