13146597513105000
13,146,597,513,105,000 is an even composite number composed of six prime numbers multiplied together.
13146597513105000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 13146597513105000:
23 × 3 × 54 × 7 × 71 × 1763460431
(2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 71 × 1763460431)See below for interesting mathematical facts about the number 13146597513105000 from the Numbermatics database.
Names of 13146597513105000
- Cardinal: 13146597513105000 can be written as Thirteen quadrillion, one hundred forty-six trillion, five hundred ninety-seven billion, five hundred thirteen million, one hundred five thousand.
Scientific notation
- Scientific notation: 1.3146597513105 × 1016
Factors of 13146597513105000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 1763460519
Divisors of 13146597513105000
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 71 75 84 100 105 120 125 140 142 150 168 175 200 210 213 250 280 284 300 350 355 375 420 426 497 500 525 568 600 625 700 710 750 840 852 875 994 1000 1050 1065 1250 1400 1420 1491 1500 1704 1750 1775 1875 1988 2100 2130 2485 2500 2625 2840 2982 3000 3500 3550 3750 3976 4200 4260 4375 4970 5000 5250 5325 5964 7000 7100 7455 7500 8520 8750 8875 9940 10500 10650 11928 12425 13125 14200 14910 15000 17500 17750 19880 21000 21300 24850 26250 26625 29820 35000 35500 37275 42600 44375 49700 52500 53250 59640 62125 71000 74550 88750 99400 105000 106500 124250 133125 149100 177500 186375 213000 248500 266250 298200 310625 355000 372750 497000 532500 621250 745500 931875 1065000 1242500 1491000 1863750 2485000 3727500 7455000 1763460431 3526920862 5290381293 7053841724 8817302155 10580762586 12344223017 14107683448 17634604310 21161525172 24688446034 26451906465 35269208620 37032669051 42323050344 44086510775 49376892068 52903812930 61721115085 70538417240 74065338102 88173021550 98753784136 105807625860 123442230170 125205690601 132259532325 148130676204 176346043100 185163345255 211615251720 220432553875 246884460340 250411381202 264519064650 296261352408 308605575425 352692086200 370326690510 375617071803 440865107750 493768920680 500822762404 529038129300 617211150850 626028453005 661297661625 740653381020 751234143606 876439834207 881730215500 925816726275 1001645524808 1058076258600 1102162769375 1234422301700 1252056906010 1322595323250 1481306762040 1502468287212 1543027877125 1752879668414 1763460431000 1851633452550 1878085359015 2204325538750 2468844603400 2504113812020 2629319502621 2645190646500 3004936574424 3086055754250 3130142265025 3306488308125 3505759336828 3703266905100 3756170718030 4382199171035 4408651077500 4629083631375 5008227624040 5258639005242 5290381293000 6172111508500 6260284530050 6612976616250 7011518673656 7406533810200 7512341436060 7715139385625 8764398342070 8817302155000 9258167262750 9390426795075 10517278010484 12344223017000 12520569060100 13146597513105 13225953232500 15024682872120 15430278771250 15650711325125 17528796684140 18516334525500 18780853590150 21034556020968 21910995855175 23145418156875 25041138120200 26293195026210 26451906465000 30860557542500 31301422650250 35057593368280 37032669051000 37561707180300 43821991710350 46290836313750 46952133975375 52586390052420 61721115085000 62602845300500 65732987565525 75123414360600 78253556625625 87643983420700 92581672627500 93904267950750 105172780104840 109554979275875 125205690601000 131465975131050 156507113251250 175287966841400 185163345255000 187808535901500 219109958551750 234760669876875 262931950262100 313014226502500 328664937827625 375617071803000 438219917103500 469521339753750 525863900524200 547774896379375 626028453005000 657329875655250 876439834207000 939042679507500 1095549792758750 1314659751310500 1643324689138125 1878085359015000 2191099585517500 2629319502621000 3286649378276250 4382199171035000 6573298756552500 13146597513105000
- Sum of all divisors σ(n): 47598195365867520
- Sum of proper divisors (its aliquot sum) s(n): 34451597852762520
- 13146597513105000 is an abundant number, because the sum of its proper divisors (34451597852762520) is greater than itself. Its abundance is 21305000339657520
Bases of 13146597513105000
- Binary: 1011101011010011000010110000101100011000001110011010002
- Hexadecimal: 0x2EB4C2C2C60E68
- Base-36: 3LG2VIS7P0O
Squares and roots of 13146597513105000
- 13146597513105000 squared (131465975131050002) is 172833026171578570646741025000000
- 13146597513105000 cubed (131465975131050003) is 2272166232049686215896556110737978632625000000000
-
The
square root of 13146597513105000 is 114658612.9041556127 -
The
cube root of 13146597513105000 is 236014.0128200707
Scales and comparisons
How big is 13146597513105000?- 13,146,597,513,105,000 seconds is equal to 418,021,135 years, 42 weeks, 4 days, 17 hours, 10 minutes.
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To count from 1 to 13,146,597,513,105,000 would take you about one billion, two hundred fifty-four million, sixty-three thousand, four hundred 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 13146597513105000 cubic inches would be around 19667.8 feet tall.
Recreational maths with 13146597513105000
- 13146597513105000 backwards is 00050131579564131
- The number of decimal digits it has is: 17
- The sum of 13146597513105000's digits is 51
- More coming soon!
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