13993652938015296
13,993,652,938,015,296 is an even composite number composed of six prime numbers multiplied together.
What does the number 13993652938015296 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 336 divisors.
13993652938015296 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 13993652938015296:
26 × 32 × 7 × 13 × 31 × 8612029901
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 31 × 8612029901)See below for interesting mathematical facts about the number 13993652938015296 from the Numbermatics database.
Names of 13993652938015296
- Cardinal: 13993652938015296 can be written as Thirteen quadrillion, nine hundred ninety-three trillion, six hundred fifty-two billion, nine hundred thirty-eight million, fifteen thousand, two hundred ninety-six.
Scientific notation
- Scientific notation: 1.3993652938015296 × 1016
Factors of 13993652938015296
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 8612029957
Divisors of 13993652938015296
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 31 32 36 39 42 48 52 56 62 63 64 72 78 84 91 93 96 104 112 117 124 126 144 156 168 182 186 192 208 217 224 234 248 252 273 279 288 312 336 364 372 403 416 434 448 468 496 504 546 558 576 624 651 672 728 744 806 819 832 868 936 992 1008 1092 1116 1209 1248 1302 1344 1456 1488 1612 1638 1736 1872 1953 1984 2016 2184 2232 2418 2496 2604 2821 2912 2976 3224 3276 3472 3627 3744 3906 4032 4368 4464 4836 5208 5642 5824 5952 6448 6552 6944 7254 7488 7812 8463 8736 8928 9672 10416 11284 12896 13104 13888 14508 15624 16926 17472 17856 19344 20832 22568 25389 25792 26208 29016 31248 33852 38688 41664 45136 50778 52416 58032 62496 67704 77376 90272 101556 116064 124992 135408 180544 203112 232128 270816 406224 541632 812448 1624896 8612029901 17224059802 25836089703 34448119604 51672179406 60284209307 68896239208 77508269109 103344358812 111956388713 120568418614 137792478416 155016538218 180852627921 206688717624 223912777426 241136837228 266972926931 275584956832 310033076436 335869166139 361705255842 413377435248 447825554852 482273674456 533945853862 542557883763 551169913664 620066152872 671738332278 723410511684 783694720991 800918780793 826754870496 895651109704 964547348912 1007607498417 1067891707724 1085115767526 1240132305744 1343476664556 1446821023368 1567389441982 1601837561586 1653509740992 1791302219408 1868810488517 1929094697824 2015214996834 2135783415448 2170231535052 2351084162973 2402756342379 2480264611488 2686953329112 2893642046736 3134778883964 3203675123172 3470648050103 3582604438816 3737620977034 3858189395648 4030429993668 4271566830896 4340463070104 4702168325946 4805512684758 4960529222976 5373906658224 5606431465551 5787284093472 6269557767928 6407350246344 6941296100206 7053252488919 7165208877632 7475241954068 8060859987336 8543133661792 8680926140208 9404336651892 9611025369516 10411944150309 10747813316448 11212862931102 11574568186944 12539115535856 12814700492688 13882592200412 14106504977838 14950483908136 16121719974672 16819294396653 17086267323584 17361852280416 18808673303784 19222050739032 20823888300618 21495626632896 22425725862204 24294536350721 25078231071712 25629400985376 27765184400824 28213009955676 29900967816272 31235832450927 32243439949344 33638588793306 34723704560832 37617346607568 38444101478064 41647776601236 44851451724408 48589072701442 50156462143424 51258801970752 55530368801648 56426019911352 59801935632544 62471664901854 64486879898688 67277177586612 72883609052163 75234693215136 76888202956128 83295553202472 89702903448816 97178145402884 111060737603296 112852039822704 119603871265088 124943329803708 134554355173224 145767218104326 150469386430272 153776405912256 166591106404944 179405806897632 194356290805768 218650827156489 222121475206592 225704079645408 249886659607416 269108710346448 291534436208652 333182212809888 358811613795264 388712581611536 437301654312978 451408159290816 499773319214832 538217420692896 583068872417304 666364425619776 777425163223072 874603308625956 999546638429664 1076434841385792 1166137744834608 1554850326446144 1749206617251912 1999093276859328 2332275489669216 3498413234503824 4664550979338432 6996826469007648 13993652938015296
- Sum of all divisors σ(n): 50958965543635968
- Sum of proper divisors (its aliquot sum) s(n): 36965312605620672
- 13993652938015296 is an abundant number, because the sum of its proper divisors (36965312605620672) is greater than itself. Its abundance is 22971659667605376
Bases of 13993652938015296
- Binary: 1100011011011100100111001110000111101100000010010000002
- Hexadecimal: 0x31B727387B0240
- Base-36: 3TSC3ETVRK0
Squares and roots of 13993652938015296
- 13993652938015296 squared (139936529380152962) is 195822322549624125674679529967616
- 13993652938015296 cubed (139936529380152963) is 2740269619275526595288879487366108581346192654336
-
The
square root of 13993652938015296 is 118294771.3891670531 -
The
cube root of 13993652938015296 is 240977.7987159409
Scales and comparisons
How big is 13993652938015296?- 13,993,652,938,015,296 seconds is equal to 444,954,878 years, 11 weeks, 2 days, 11 hours, 21 minutes, 36 seconds.
-
To count from 1 to 13,993,652,938,015,296 would take you about one billion, three hundred thirty-four million, eight hundred sixty-four thousand, six hundred thirty-four 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 13993652938015296 cubic inches would be around 20081.5 feet tall.
Recreational maths with 13993652938015296
- 13993652938015296 backwards is 69251083925639931
- The number of decimal digits it has is: 17
- The sum of 13993652938015296's digits is 81
- More coming soon!
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