13461512860137806800
13,461,512,860,137,806,800 is an even composite number composed of six prime numbers multiplied together.
13461512860137806800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 13461512860137806800:
24 × 52 × 7 × 37 × 127657 × 1017863359
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 37 × 127657 × 1017863359)See below for interesting mathematical facts about the number 13461512860137806800 from the Numbermatics database.
Names of 13461512860137806800
- Cardinal: 13461512860137806800 can be written as Thirteen quintillion, four hundred sixty-one quadrillion, five hundred twelve trillion, eight hundred sixty billion, one hundred thirty-seven million, eight hundred six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.34615128601378068 × 1019
Factors of 13461512860137806800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 1017991067
Divisors of 13461512860137806800
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 35 37 40 50 56 70 74 80 100 112 140 148 175 185 200 259 280 296 350 370 400 518 560 592 700 740 925 1036 1295 1400 1480 1850 2072 2590 2800 2960 3700 4144 5180 6475 7400 10360 12950 14800 20720 25900 51800 103600 127657 255314 510628 638285 893599 1021256 1276570 1787198 2042512 2553140 3191425 3574396 4467995 4723309 5106280 6382850 7148792 8935990 9446618 10212560 12765700 14297584 17871980 18893236 22339975 23616545 25531400 33063163 35743960 37786472 44679950 47233090 51062800 66126326 71487920 75572944 89359900 94466180 118082725 132252652 165315815 178719800 188932360 236165450 264505304 330631630 357439600 377864720 472330900 529010608 661263260 826579075 944661800 1017863359 1322526520 1653158150 1889323600 2035726718 2645053040 3306316300 4071453436 5089316795 6612632600 7125043513 8142906872 10178633590 13225265200 14250087026 16285813744 20357267180 25446583975 28500174052 35625217565 37660944283 40714534360 50893167950 57000348104 71250435130 75321888566 81429068720 101786335900 114000696208 142500870260 150643777132 178126087825 188304721415 203572671800 263626609981 285001740520 301287554264 356252175650 376609442830 407145343600 527253219962 570003481040 602575108528 712504351300 753218885660 941523607075 1054506439924 1318133049905 1425008702600 1506437771320 1883047214150 2109012879848 2636266099810 2850017405200 3012875542640 3766094428300 4218025759696 5272532199620 6590665249525 7532188856600 10545064399240 13181330499050 15064377713200 21090128798480 26362660998100 52725321996200 105450643992400 129937382819863 259874765639726 519749531279452 649686914099315 909561679739041 1039499062558904 1299373828198630 1819123359478082 2078998125117808 2598747656397260 3248434570496575 3638246718956164 4547808398695205 4807683164334931 5197495312794520 6496869140993150 7276493437912328 9095616797390410 9615366328669862 10394990625589040 12993738281986300 14552986875824656 18191233594780820 19230732657339724 22739041993476025 24038415821674655 25987476563972600 33653782150344517 36382467189561640 38461465314679448 45478083986952050 48076831643349310 51974953127945200 67307564300689034 72764934379123280 76922930629358896 90956167973904100 96153663286698620 120192079108373275 134615128601378068 168268910751722585 181912335947808200 192307326573397240 240384158216746550 269230257202756136 336537821503445170 363824671895616400 384614653146794480 480768316433493100 538460514405512272 673075643006890340 841344553758612925 961536632866986200 1346151286013780680 1682689107517225850 1923073265733972400 2692302572027561360 3365378215034451700 6730756430068903400 13461512860137806800
- Sum of all divisors σ(n): 37960724166493726720
- Sum of proper divisors (its aliquot sum) s(n): 24499211306355919920
- 13461512860137806800 is an abundant number, because the sum of its proper divisors (24499211306355919920) is greater than itself. Its abundance is 11037698446218113120
Bases of 13461512860137806800
- Binary: 10111010110100001110011010011111110001111101110111011011110100002
- Hexadecimal: 0xBAD0E69FC7DDDBD0
- Base-36: 2U9VG1V03RSGG
Squares and roots of 13461512860137806800
- 13461512860137806800 squared (134615128601378068002) is 181212328483655555620809886714126240000
- 13461512860137806800 cubed (134615128601378068003) is 2439392090298245852908858998039679347319882651930432000000
-
The
square root of 13461512860137806800 is 3668993439.6422415517 -
The
cube root of 13461512860137806800 is 2378836.6640061129
Scales and comparisons
How big is 13461512860137806800?- 13,461,512,860,137,806,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 13,461,512,860,137,806,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 13461512860137806800 cubic inches would be around 198236.4 feet tall.
Recreational maths with 13461512860137806800
- 13461512860137806800 backwards is 00860873106821516431
- 13461512860137806800 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13461512860137806800's digits is 70
- More coming soon!
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